T. W. Johnson, Z. J. Lapin, R. Beams, N. C. Lindquist, S. G. Rodrigo, L. Novotny, and S.-H. Oh, “Highly reproducible near-field optical imaging with sub-20-nm resolution based on template-stripped gold pyramids,” ACS Nano 6, 9168–9174 (2012).

[CrossRef]

N. C. Lindquist, P. Nagpal, K. M. McPeak, D. J. Norris, and S.-H. Oh, “Engineering metallic nanostructures for plasmonics and nanophotonics,” Rep. Prog. Phys. 75, 036501 (2012).

[CrossRef]

A. D. Baczewski, N. C. Miller, and B. Shanker, “Rapid analysis of scattering from periodic dielectric structures using accelerated Cartesian expansions,” J. Opt. Soc. Am. A 29, 531–540 (2012).

[CrossRef]

L. Li and G. Granet, “Field singularities at lossless metal-dielectric right-angle edges and their ramifications to the numerical modeling of gratings,” J. Opt. Soc. Am. A 28, 738–746 (2011).

[CrossRef]

I. S. Spevak, M. A. Timchenko, and A. V. Kats, “Design of specific gratings operating under surface plasmon–polariton resonance,” Opt. Lett. 36, 1419–1421 (2011).

[CrossRef]

J. Bischoff and K. Hehl, “Perturbation approach applied to modal diffraction methods,” J. Opt. Soc. Am. A 28, 859–867 (2011).

[CrossRef]

J. M. Taboada, J. Rivero, F. Obelleiro, M. G. Araújo, and L. Landesa, “Method-of-moments formulation for the analysis of plasmonic nano-optical antennas,” J. Opt. Soc. Am. A 28, 1341–1348 (2011).

[CrossRef]

A. Shahmansouri and B. Rashidian, “Comprehensive three-dimensional split-field finite-difference time-domain method for analysis of periodic plasmonic nanostructures: near- and far-field formulation,” J. Opt. Soc. Am. B 28, 2690–2700 (2011).

[CrossRef]

O. Tsilipakos, A. Pitilakis, A. Tasolamprou, T. Yioultsis, and E. Kriezis, “Computational techniques for the analysis and design of dielectric-loaded plasmonic circuitry,” Opt. Quantum Electron. 42, 541–555 (2011).

[CrossRef]

M. Wang, C. Engstrom, K. Schmidt, and C. Hafner, “On high-order FEM applied to canonical scattering problems in plasmonics,” J. Comput. Theor. Nanosci. 8, 1564–1572 (2011).

[CrossRef]

N. C. Lindquist, T. W. Johnson, D. J. Norris, and S.-H. Oh, “Monolithic integration of continuously tunable plasmonic nanostructures,” Nano Lett. 11, 3526–3530 (2011).

[CrossRef]

A. Trügler, J.-C. Tinguely, J. R. Krenn, A. Hohenau, and U. Hohenester, “Influence of surface roughness on the optical properties of plasmonic nanoparticles,” Phys. Rev. B 83, 081412(R) (2011).

[CrossRef]

A. Malcolm and D. P. Nicholls, “A field expansions method for scattering by periodic multilayered media,” J. Acoust. Soc. Am. 129, 1783–1793 (2011).

[CrossRef]

C.-C. Chao, S.-H. Tu, C.-M. Wang, H.-I. Huang, C.-C. Chen, and J.-Y. Chang, “Impedance-matching surface plasmon absorber for FDTD simulations,” Plasmonics 5, 51–55 (2010).

[CrossRef]

F. J. García-Vidal, L. Martin-Moreno, T. W. Ebbesen, and L. Kuipers, “Light passing through subwavelength apertures,” Rev. Mod. Phys. 82, 729–787 (2010).

[CrossRef]

D. K. Gramotnev and S. I. Bozhevolnyi, “Plasmonics beyond the diffraction limit,” Nat. Photonics 4, 83–91 (2010).

[CrossRef]

B. Gallinet, A. M. Kern, and O. J. F. Martin, “Accurate and versatile modeling of electromagnetic scattering on periodic nanostructures with a surface integral approach,” J. Opt. Soc. Am. A 27, 2261–2271 (2010).

[CrossRef]

H.-Y. Xie, M.-Y. Ng, and Y.-C. Chang, “Analytical solutions to light scattering by plasmonic nanoparticles with nearly spherical shape and nonlocal effect,” J. Opt. Soc. Am. A 27, 2411–2422 (2010).

[CrossRef]

M. Huber, J. Schöberl, A. Sinwel, and S. Zaglmayr, “Simulation of diffraction in periodic media with a coupled finite element and plane wave approach,” SIAM J. Sci. Comput. 31, 1500–1517 (2009).

[CrossRef]

J. Hoffmann, C. Hafner, P. Leidenberger, J. Hesselbarth, and S. Burger, “Comparison of electromagnetic field solvers for the 3D analysis of plasmonic nano antennas,” Proc. SPIE 7390, 73900J (2009).

J. Smajic, C. Hafner, L. Raguin, K. Tavzarashvili, and M. Mishrikey, “Comparison of numerical methods for the analysis of plasmonic structures,” J. Comput. Theor. Nanosci. 6, 763–774 (2009).

[CrossRef]

H. Kurkcu and F. Reitich, “Stable and efficient evaluation of periodized Green’s functions for the Helmholtz equation at high frequencies,” J. Comput. Phys. 228, 75–95 (2009).

[CrossRef]

J. Bischoff, “Prospects and limits of the Rayleigh Fourier approach for diffraction modelling in scatterometry and lithography,” Proc. SPIE 7390, 73901E (2009).

D. Grieser, H. Uecker, S.-A. Biehs, O. Huth, F. Rüting, and M. Holthaus, “Perturbation theory for plasmonic eigenvalues,” Phys. Rev. B 80, 245405 (2009).

[CrossRef]

O. P. Bruno and M. C. Haslam, “Efficient high-order evaluation of scattering by periodic surfaces: deep gratings, high frequencies, and glancing incidences,” J. Opt. Soc. Am. A 26, 658–668 (2009).

[CrossRef]

A. M. Kern and O. J. F. Martin, “Surface integral formulation for 3D simulations of plasmonic and high permittivity nanostructures,” J. Opt. Soc. Am. A 26, 732–740 (2009).

[CrossRef]

G. Demésy, F. Zolla, A. Nicolet, and M. Commandré, “Versatile full-vectorial finite element model for crossed gratings,” Opt. Lett. 34, 2216–2218 (2009).

[CrossRef]

M. Mansuripur, A. R. Zakharian, A. Lesuffleur, S.-H. Oh, R. J. Jones, N. C. Lindquist, H. Im, A. Kobyakov, and J. V. Moloney, “Plasmonic nano-structures for optical data storage,” Opt. Express 17, 14001–14014 (2009).

[CrossRef]

K. Stannigel, M. König, J. Niegemann, and K. Busch, “Discontinuous Galerkin time-domain computations of metallic nanostructures,” Opt. Express 17, 14934–14947 (2009).

[CrossRef]

J. M. Montgomery, T.-W. Lee, and S. K. Gray, “Theory and modeling of light interactions with metallic nanostructures,” J. Phys. Condens. Matter 20, 323201 (2008).

[CrossRef]

S. Kahaly, S. K. Yadav, W. M. Wang, S. Sengupta, Z. M. Sheng, A. Das, P. K. Kaw, and G. R. Kumar, “Near-complete absorption of intense, ultrashort laser light by sub-λ gratings,” Phys. Rev. Lett. 101, 145001 (2008).

[CrossRef]

Y. Otani and N. Nishimura, “A periodic FMM for Maxwell’s equations in 3D and its applications to problems related to photonic crystals,” J. Comput. Phys. 227, 4630–4652 (2008).

[CrossRef]

J. Homola, “Surface plasmon resonance sensors for detection of chemical and biological species,” Chem. Rev. 108, 462–493 (2008).

[CrossRef]

A. Schädle, L. Zschiedrich, S. Burger, R. Klose, and F. Schmidt, “Domain decomposition method for Maxwell’s equations: scattering off periodic structures,” J. Comput. Phys. 226, 477–493 (2007).

[CrossRef]

N. Bonod, E. Popov, L. Li, and B. Chernov, “Unidirectional excitation of surface plasmons by slanted gratings,” Opt. Express 15, 11427–11432 (2007).

[CrossRef]

G. Veronis and S. Fan, “Modes of subwavelength plasmonic slot waveguides,” J. Lightwave Technol. 25, 2511–2521 (2007).

[CrossRef]

D. Barchiesi, B. Guizal, and T. Grosges, “Accuracy of local field enhancement models: toward predictive models?” Appl. Phys. B 84, 55–60 (2006).

[CrossRef]

Z. Chen, I. R. Hooper, and J. R. Sambles, “Low dispersion surface plasmon–polaritons on deep silver gratings,” J. Mod. Opt. 53, 1569–1576 (2006).

[CrossRef]

H. Sai, Y. Kanamori, K. Hane, and H. Yugami, “Numerical study on spectral properties of tungsten one-dimensional surface-relief gratings for spectrally selective devices,” J. Opt. Soc. Am. A 22, 1805–1813 (2005).

[CrossRef]

W.-C. Liu, “High sensitivity of surface plasmon of weakly-distorted metallic surfaces,” Opt. Express 13, 9766–9773 (2005).

[CrossRef]

L. Kazandjian, “A discussion of the properties of the Rayleigh perturbative solution in diffraction theory,” Wave Motion 42, 169–176 (2005).

[CrossRef]

H. Ditlbacher, J. R. Krenn, N. Felidj, B. Lamprecht, G. Schider, M. Salerno, A. Leitner, and F. R. Aussenegg, “Fluorescence imaging of surface plasmon fields,” Appl. Phys. Lett. 80, 404–406 (2002).

[CrossRef]

I. R. Hooper and J. R. Sambles, “Dispersion of surface plasmon polaritons on short-pitch metal gratings,” Phys. Rev. B 65, 165432 (2002).

[CrossRef]

M. Kreiter, S. Mittler, W. Knoll, and J. R. Sambles, “Surface plasmon-related resonances on deep and asymmetric gold gratings,” Phys. Rev. B 65, 125415 (2002).

[CrossRef]

K. Warnick and W. Chew, “Numerical simulation methods for rough surface scattering,” Wave Random Media 11, R1–R30 (2001).

[CrossRef]

K. A. O’Donnell, “High-order perturbation theory for light scattering from a rough metal surface,” J. Opt. Soc. Am. A 18, 1507–1518 (2001).

[CrossRef]

A. Soubret, G. Berginc, and C. Bourrely, “Backscattering enhancement of an electromagnetic wave scattered by two-dimensional rough layers,” J. Opt. Soc. Am. A 18, 2778–2788 (2001).

[CrossRef]

F. García-Vidal, J. Sánchez-Dehesa, A. Dechelette, E. Bustarret, T. López-Rios, T. Fournier, and B. Pannetier, “Localized surface plasmons in lamellar metallic gratings,” J. Lightwave Technol. 17, 2191–2195 (1999).

[CrossRef]

L. Li, J. Chandezon, G. Granet, and J.-P. Plumey, “Rigorous and efficient grating-analysis method made easy for optical engineers,” Appl. Opt. 38, 304–313 (1999).

[CrossRef]

R. A. Watts, A. P. Hibbins, and J. R. Sambles, “The influence of grating profile on surface plasmon polariton resonances recorded in different diffracted orders,” J. Mod. Opt. 46, 2157–2186 (1999).

A. Rakic, A. Djurišic, J. Elazar, and M. Majewski, “Optical properties of metallic films for vertical-cavity optoelectronic devices,” Appl. Opt. 37, 5271–5283 (1998).

[CrossRef]

T. López-Rios, D. Mendoza, F. J. García-Vidal, J. Sánchez-Dehesa, and B. Pannetier, “Surface shape resonances in lamellar metallic gratings,” Phys. Rev. Lett. 81, 665–668 (1998).

[CrossRef]

G. Granet, “Analysis of diffraction by surface-relief crossed gratings with use of the Chandezon method: application to multilayer crossed gratings,” J. Opt. Soc. Am. A 15, 1121–1131 (1998).

[CrossRef]

D. J. Nash and J. R. Sambles, “Surface plasmon–polariton study of the optical dielectric function of silver,” J. Mod. Opt. 43, 81–91 (1996).

B. Hecht, H. Bielefeldt, L. Novotny, Y. Inouye, and D. W. Pohl, “Local excitation, scattering, and interference of surface plasmons,” Phys. Rev. Lett. 77, 1889–1892 (1996).

[CrossRef]

W. L. Barnes, T. W. Preist, S. C. Kitson, and J. R. Sambles, “Physical origin of photonic energy gaps in the propagation of surface plasmons on gratings,” Phys. Rev. B 54, 6227–6244 (1996).

[CrossRef]

D. Christensen and D. Fowers, “Modeling SPR sensors with the finite-difference time-domain method,” Biosens. Bioelectron. 11, 677–684 (1996).

[CrossRef]

W. L. Barnes, T. W. Preist, S. C. Kitson, J. R. Sambles, N. P. K. Cotter, and D. J. Nash, “Photonic gaps in the dispersion of surface plasmons on gratings,” Phys. Rev. B 51, 11164–11167 (1995).

[CrossRef]

M. G. Moharam, D. A. Pommet, E. B. Grann, and T. K. Gaylord, “Stable implementation of the rigorous coupled-wave analysis for surface-relief gratings: enhanced transmittance matrix approach,” J. Opt. Soc. Am. A 12, 1077–1086 (1995).

[CrossRef]

A. A. Maradudin and E. R. Méndez, “Enhanced backscattering of light from weakly rough, random metal surfaces,” Appl. Opt. 32, 3335–3343 (1993).

[CrossRef]

O. P. Bruno and F. Reitich, “Numerical solution of diffraction problems: a method of variation of boundaries,” J. Opt. Soc. Am. A 10, 1168–1175 (1993).

[CrossRef]

O. P. Bruno and F. Reitich, “Numerical solution of diffraction problems: a method of variation of boundaries. II. Finitely conducting gratings, Padé approximants, and singularities,” J. Opt. Soc. Am. A 10, 2307–2316 (1993).

[CrossRef]

O. P. Bruno and F. Reitich, “Numerical solution of diffraction problems: a method of variation of boundaries. III. Doubly periodic gratings,” J. Opt. Soc. Am. A 10, 2551–2562 (1993).

[CrossRef]

O. P. Bruno and F. Reitich, “Solution of a boundary value problem for the Helmholtz equation via variation of the boundary into the complex domain,” Proc. R. Soc. Edinburgh, Sect. A 122, 317–340 (1992).

[CrossRef]

E. Rodriguez and Y. Kim, “A unified perturbation expansion for surface scattering,” Radio Sci. 27, 79–93 (1992).

[CrossRef]

J.-J. Greffet, “Scattering of electromagnetic waves by rough dielectric surfaces,” Phys. Rev. B 37, 6436–6441 (1988).

[CrossRef]

D. R. Jackson, D. P. Winebrenner, and A. Ishimaru, “Comparison of perturbation theories for rough-surface scattering,” J. Acoust. Soc. Am. 83, 961–969 (1988).

[CrossRef]

A. G. Voronovich, “Small-slope approximation in wave scattering by rough surfaces,” Sov. Phys. J. Exp. Theor. Phys. 62, 65–70 (1985).

J. Chandezon, M. Dupuis, G. Cornet, and D. Maystre, “Multicoated gratings: a differential formalism applicable in the entire optical region,” J. Opt. Soc. Am. A 72, 839–846 (1982).

[CrossRef]

M. G. Moharam and T. K. Gaylord, “Rigorous coupled-wave analysis of planar-grating diffraction,” J. Opt. Soc. Am. A 71, 811–818 (1981).

[CrossRef]

J. Chandezon, G. Raoult, and D. Maystre, “A new theoretical method for diffraction gratings and its numerical application,” J. Opt. 11, 235–241 (1980).

[CrossRef]

P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6, 4370–4379 (1972).

[CrossRef]

R. H. Ritchie, E. T. Arakawa, J. J. Cowan, and R. N. Hamm, “Surface-plasmon resonance effect in grating diffraction,” Phys. Rev. Lett. 21, 1530–1533 (1968).

[CrossRef]

E. Kretschmann and H. Raether, “Radiative decay of non radiative surface plasmons excited by light,” Z. Naturforsch. A 23, 2135–2136 (1968).

A. Otto, “Excitation of nonradiative surface plasma waves in silver by the method of frustrated total reflection,” Z. Phys. 216, 398–410 (1968).

[CrossRef]

J. Uretsky, “The scattering of plane waves from periodic surfaces,” Ann. Phys. 33, 400–427 (1965).

[CrossRef]

S. O. Rice, “Reflection of electromagnetic waves from slightly rough surfaces,” Commun. Pure Appl. Math. 4, 351–378 (1951).

[CrossRef]

B. Alavikia and O. Ramahi, “Limitation of using absorbing boundary condition to solve the problem of scattering from a cavity in metallic screens,” in Antennas and Propagation Society International Symposium (APSURSI) (IEEE, 2010), pp. 1–4.

R. H. Ritchie, E. T. Arakawa, J. J. Cowan, and R. N. Hamm, “Surface-plasmon resonance effect in grating diffraction,” Phys. Rev. Lett. 21, 1530–1533 (1968).

[CrossRef]

H. Ditlbacher, J. R. Krenn, N. Felidj, B. Lamprecht, G. Schider, M. Salerno, A. Leitner, and F. R. Aussenegg, “Fluorescence imaging of surface plasmon fields,” Appl. Phys. Lett. 80, 404–406 (2002).

[CrossRef]

G. A. Baker and P. Graves-Morris, Padé Approximants, 2nd ed., Vol. 59 of Encyclopedia of Mathematics and its Applications (Cambridge University, 1996).

D. Barchiesi, B. Guizal, and T. Grosges, “Accuracy of local field enhancement models: toward predictive models?” Appl. Phys. B 84, 55–60 (2006).

[CrossRef]

W. L. Barnes, T. W. Preist, S. C. Kitson, and J. R. Sambles, “Physical origin of photonic energy gaps in the propagation of surface plasmons on gratings,” Phys. Rev. B 54, 6227–6244 (1996).

[CrossRef]

W. L. Barnes, T. W. Preist, S. C. Kitson, J. R. Sambles, N. P. K. Cotter, and D. J. Nash, “Photonic gaps in the dispersion of surface plasmons on gratings,” Phys. Rev. B 51, 11164–11167 (1995).

[CrossRef]

T. W. Johnson, Z. J. Lapin, R. Beams, N. C. Lindquist, S. G. Rodrigo, L. Novotny, and S.-H. Oh, “Highly reproducible near-field optical imaging with sub-20-nm resolution based on template-stripped gold pyramids,” ACS Nano 6, 9168–9174 (2012).

[CrossRef]

D. Grieser, H. Uecker, S.-A. Biehs, O. Huth, F. Rüting, and M. Holthaus, “Perturbation theory for plasmonic eigenvalues,” Phys. Rev. B 80, 245405 (2009).

[CrossRef]

B. Hecht, H. Bielefeldt, L. Novotny, Y. Inouye, and D. W. Pohl, “Local excitation, scattering, and interference of surface plasmons,” Phys. Rev. Lett. 77, 1889–1892 (1996).

[CrossRef]

D. K. Gramotnev and S. I. Bozhevolnyi, “Plasmonics beyond the diffraction limit,” Nat. Photonics 4, 83–91 (2010).

[CrossRef]

O. Bruno and F. Reitich, “High-order boundary perturbation methods,” in Mathematical Modeling in Optical Science, G. Bao, L. Cowsar, and W. Masters, eds., Vol. 22 of Frontiers in Applied Mathematics (SIAM, 2001), Chap. 3, pp. 71–109.

O. P. Bruno and M. C. Haslam, “Efficient high-order evaluation of scattering by periodic surfaces: deep gratings, high frequencies, and glancing incidences,” J. Opt. Soc. Am. A 26, 658–668 (2009).

[CrossRef]

O. P. Bruno and F. Reitich, “Numerical solution of diffraction problems: a method of variation of boundaries,” J. Opt. Soc. Am. A 10, 1168–1175 (1993).

[CrossRef]

O. P. Bruno and F. Reitich, “Numerical solution of diffraction problems: a method of variation of boundaries. II. Finitely conducting gratings, Padé approximants, and singularities,” J. Opt. Soc. Am. A 10, 2307–2316 (1993).

[CrossRef]

O. P. Bruno and F. Reitich, “Numerical solution of diffraction problems: a method of variation of boundaries. III. Doubly periodic gratings,” J. Opt. Soc. Am. A 10, 2551–2562 (1993).

[CrossRef]

O. P. Bruno and F. Reitich, “Solution of a boundary value problem for the Helmholtz equation via variation of the boundary into the complex domain,” Proc. R. Soc. Edinburgh, Sect. A 122, 317–340 (1992).

[CrossRef]

J. Hoffmann, C. Hafner, P. Leidenberger, J. Hesselbarth, and S. Burger, “Comparison of electromagnetic field solvers for the 3D analysis of plasmonic nano antennas,” Proc. SPIE 7390, 73900J (2009).

A. Schädle, L. Zschiedrich, S. Burger, R. Klose, and F. Schmidt, “Domain decomposition method for Maxwell’s equations: scattering off periodic structures,” J. Comput. Phys. 226, 477–493 (2007).

[CrossRef]

L. Li, J. Chandezon, G. Granet, and J.-P. Plumey, “Rigorous and efficient grating-analysis method made easy for optical engineers,” Appl. Opt. 38, 304–313 (1999).

[CrossRef]

J. Chandezon, M. Dupuis, G. Cornet, and D. Maystre, “Multicoated gratings: a differential formalism applicable in the entire optical region,” J. Opt. Soc. Am. A 72, 839–846 (1982).

[CrossRef]

J. Chandezon, G. Raoult, and D. Maystre, “A new theoretical method for diffraction gratings and its numerical application,” J. Opt. 11, 235–241 (1980).

[CrossRef]

C.-C. Chao, S.-H. Tu, C.-M. Wang, H.-I. Huang, C.-C. Chen, and J.-Y. Chang, “Impedance-matching surface plasmon absorber for FDTD simulations,” Plasmonics 5, 51–55 (2010).

[CrossRef]

C.-C. Chao, S.-H. Tu, C.-M. Wang, H.-I. Huang, C.-C. Chen, and J.-Y. Chang, “Impedance-matching surface plasmon absorber for FDTD simulations,” Plasmonics 5, 51–55 (2010).

[CrossRef]

C.-C. Chao, S.-H. Tu, C.-M. Wang, H.-I. Huang, C.-C. Chen, and J.-Y. Chang, “Impedance-matching surface plasmon absorber for FDTD simulations,” Plasmonics 5, 51–55 (2010).

[CrossRef]

Z. Chen, I. R. Hooper, and J. R. Sambles, “Low dispersion surface plasmon–polaritons on deep silver gratings,” J. Mod. Opt. 53, 1569–1576 (2006).

[CrossRef]

Z. Chen, “Grating coupled surface plasmons in metallic structures,” Ph.D. dissertation (University of Exeter, 2007).

K. Warnick and W. Chew, “Numerical simulation methods for rough surface scattering,” Wave Random Media 11, R1–R30 (2001).

[CrossRef]

D. Christensen and D. Fowers, “Modeling SPR sensors with the finite-difference time-domain method,” Biosens. Bioelectron. 11, 677–684 (1996).

[CrossRef]

P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6, 4370–4379 (1972).

[CrossRef]

J. Chandezon, M. Dupuis, G. Cornet, and D. Maystre, “Multicoated gratings: a differential formalism applicable in the entire optical region,” J. Opt. Soc. Am. A 72, 839–846 (1982).

[CrossRef]

W. L. Barnes, T. W. Preist, S. C. Kitson, J. R. Sambles, N. P. K. Cotter, and D. J. Nash, “Photonic gaps in the dispersion of surface plasmons on gratings,” Phys. Rev. B 51, 11164–11167 (1995).

[CrossRef]

R. H. Ritchie, E. T. Arakawa, J. J. Cowan, and R. N. Hamm, “Surface-plasmon resonance effect in grating diffraction,” Phys. Rev. Lett. 21, 1530–1533 (1968).

[CrossRef]

S. Kahaly, S. K. Yadav, W. M. Wang, S. Sengupta, Z. M. Sheng, A. Das, P. K. Kaw, and G. R. Kumar, “Near-complete absorption of intense, ultrashort laser light by sub-λ gratings,” Phys. Rev. Lett. 101, 145001 (2008).

[CrossRef]

J. A. deSanto, “Overview of rough surface scattering,” in Light Scattering and Nanoscale Surface Roughness, A. A. Maradudin and D. J. Lockwood, eds., Nanostructure Science and Technology (Springer, 2007), Chap. 8, pp. 211–235.

H. Ditlbacher, J. R. Krenn, N. Felidj, B. Lamprecht, G. Schider, M. Salerno, A. Leitner, and F. R. Aussenegg, “Fluorescence imaging of surface plasmon fields,” Appl. Phys. Lett. 80, 404–406 (2002).

[CrossRef]

J. Chandezon, M. Dupuis, G. Cornet, and D. Maystre, “Multicoated gratings: a differential formalism applicable in the entire optical region,” J. Opt. Soc. Am. A 72, 839–846 (1982).

[CrossRef]

F. J. García-Vidal, L. Martin-Moreno, T. W. Ebbesen, and L. Kuipers, “Light passing through subwavelength apertures,” Rev. Mod. Phys. 82, 729–787 (2010).

[CrossRef]

T. Elfouhaily and C. Guérin, “A critical survey of approximate scattering wave theories from random rough surfaces,” Wave Random Media 14, R1–R40 (2004).

[CrossRef]

M. Wang, C. Engstrom, K. Schmidt, and C. Hafner, “On high-order FEM applied to canonical scattering problems in plasmonics,” J. Comput. Theor. Nanosci. 8, 1564–1572 (2011).

[CrossRef]

H. Ditlbacher, J. R. Krenn, N. Felidj, B. Lamprecht, G. Schider, M. Salerno, A. Leitner, and F. R. Aussenegg, “Fluorescence imaging of surface plasmon fields,” Appl. Phys. Lett. 80, 404–406 (2002).

[CrossRef]

D. Christensen and D. Fowers, “Modeling SPR sensors with the finite-difference time-domain method,” Biosens. Bioelectron. 11, 677–684 (1996).

[CrossRef]

F. J. García-Vidal, L. Martin-Moreno, T. W. Ebbesen, and L. Kuipers, “Light passing through subwavelength apertures,” Rev. Mod. Phys. 82, 729–787 (2010).

[CrossRef]

T. López-Rios, D. Mendoza, F. J. García-Vidal, J. Sánchez-Dehesa, and B. Pannetier, “Surface shape resonances in lamellar metallic gratings,” Phys. Rev. Lett. 81, 665–668 (1998).

[CrossRef]

D. K. Gramotnev and S. I. Bozhevolnyi, “Plasmonics beyond the diffraction limit,” Nat. Photonics 4, 83–91 (2010).

[CrossRef]

L. Li and G. Granet, “Field singularities at lossless metal-dielectric right-angle edges and their ramifications to the numerical modeling of gratings,” J. Opt. Soc. Am. A 28, 738–746 (2011).

[CrossRef]

L. Li, J. Chandezon, G. Granet, and J.-P. Plumey, “Rigorous and efficient grating-analysis method made easy for optical engineers,” Appl. Opt. 38, 304–313 (1999).

[CrossRef]

G. Granet, “Analysis of diffraction by surface-relief crossed gratings with use of the Chandezon method: application to multilayer crossed gratings,” J. Opt. Soc. Am. A 15, 1121–1131 (1998).

[CrossRef]

G. A. Baker and P. Graves-Morris, Padé Approximants, 2nd ed., Vol. 59 of Encyclopedia of Mathematics and its Applications (Cambridge University, 1996).

J. M. Montgomery, T.-W. Lee, and S. K. Gray, “Theory and modeling of light interactions with metallic nanostructures,” J. Phys. Condens. Matter 20, 323201 (2008).

[CrossRef]

J.-J. Greffet, “Scattering of electromagnetic waves by rough dielectric surfaces,” Phys. Rev. B 37, 6436–6441 (1988).

[CrossRef]

J.-J. Greffet, “Introduction to surface plasmon theory,” in Plasmonics: From Basics to Advanced Topics, S. Enoch and N. Bonod, eds., Vol. 167 of Springer Series in Optical Sciences (Springer, 2012), Chap. 4, pp. 105–148.

D. Grieser, H. Uecker, S.-A. Biehs, O. Huth, F. Rüting, and M. Holthaus, “Perturbation theory for plasmonic eigenvalues,” Phys. Rev. B 80, 245405 (2009).

[CrossRef]

D. Barchiesi, B. Guizal, and T. Grosges, “Accuracy of local field enhancement models: toward predictive models?” Appl. Phys. B 84, 55–60 (2006).

[CrossRef]

T. Elfouhaily and C. Guérin, “A critical survey of approximate scattering wave theories from random rough surfaces,” Wave Random Media 14, R1–R40 (2004).

[CrossRef]

D. Barchiesi, B. Guizal, and T. Grosges, “Accuracy of local field enhancement models: toward predictive models?” Appl. Phys. B 84, 55–60 (2006).

[CrossRef]

M. Wang, C. Engstrom, K. Schmidt, and C. Hafner, “On high-order FEM applied to canonical scattering problems in plasmonics,” J. Comput. Theor. Nanosci. 8, 1564–1572 (2011).

[CrossRef]

J. Hoffmann, C. Hafner, P. Leidenberger, J. Hesselbarth, and S. Burger, “Comparison of electromagnetic field solvers for the 3D analysis of plasmonic nano antennas,” Proc. SPIE 7390, 73900J (2009).

J. Smajic, C. Hafner, L. Raguin, K. Tavzarashvili, and M. Mishrikey, “Comparison of numerical methods for the analysis of plasmonic structures,” J. Comput. Theor. Nanosci. 6, 763–774 (2009).

[CrossRef]

A. Taflove and S. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain method (Artech House, 2005).

R. H. Ritchie, E. T. Arakawa, J. J. Cowan, and R. N. Hamm, “Surface-plasmon resonance effect in grating diffraction,” Phys. Rev. Lett. 21, 1530–1533 (1968).

[CrossRef]

B. Hecht, H. Bielefeldt, L. Novotny, Y. Inouye, and D. W. Pohl, “Local excitation, scattering, and interference of surface plasmons,” Phys. Rev. Lett. 77, 1889–1892 (1996).

[CrossRef]

L. Novotny and B. Hecht, Principles of Nano-Optics (Cambridge University, 2012).

J. Hoffmann, C. Hafner, P. Leidenberger, J. Hesselbarth, and S. Burger, “Comparison of electromagnetic field solvers for the 3D analysis of plasmonic nano antennas,” Proc. SPIE 7390, 73900J (2009).

R. A. Watts, A. P. Hibbins, and J. R. Sambles, “The influence of grating profile on surface plasmon polariton resonances recorded in different diffracted orders,” J. Mod. Opt. 46, 2157–2186 (1999).

J. Hoffmann, C. Hafner, P. Leidenberger, J. Hesselbarth, and S. Burger, “Comparison of electromagnetic field solvers for the 3D analysis of plasmonic nano antennas,” Proc. SPIE 7390, 73900J (2009).

A. Trügler, J.-C. Tinguely, J. R. Krenn, A. Hohenau, and U. Hohenester, “Influence of surface roughness on the optical properties of plasmonic nanoparticles,” Phys. Rev. B 83, 081412(R) (2011).

[CrossRef]

A. Trügler, J.-C. Tinguely, J. R. Krenn, A. Hohenau, and U. Hohenester, “Influence of surface roughness on the optical properties of plasmonic nanoparticles,” Phys. Rev. B 83, 081412(R) (2011).

[CrossRef]

D. Grieser, H. Uecker, S.-A. Biehs, O. Huth, F. Rüting, and M. Holthaus, “Perturbation theory for plasmonic eigenvalues,” Phys. Rev. B 80, 245405 (2009).

[CrossRef]

J. Homola, “Surface plasmon resonance sensors for detection of chemical and biological species,” Chem. Rev. 108, 462–493 (2008).

[CrossRef]

J. Homola, Surface Plasmon Resonance Based Sensors, Vol. 4 of Springer Series on Chemical Sensors and Biosensors (Springer, 2006).

Z. Chen, I. R. Hooper, and J. R. Sambles, “Low dispersion surface plasmon–polaritons on deep silver gratings,” J. Mod. Opt. 53, 1569–1576 (2006).

[CrossRef]

I. R. Hooper and J. R. Sambles, “Dispersion of surface plasmon polaritons on short-pitch metal gratings,” Phys. Rev. B 65, 165432 (2002).

[CrossRef]

C.-C. Chao, S.-H. Tu, C.-M. Wang, H.-I. Huang, C.-C. Chen, and J.-Y. Chang, “Impedance-matching surface plasmon absorber for FDTD simulations,” Plasmonics 5, 51–55 (2010).

[CrossRef]

M. Huber, J. Schöberl, A. Sinwel, and S. Zaglmayr, “Simulation of diffraction in periodic media with a coupled finite element and plane wave approach,” SIAM J. Sci. Comput. 31, 1500–1517 (2009).

[CrossRef]

D. W. Lynch and W. R. Hunter, “Comments on the optical constants of metals and an introduction to the data for several metals,” in Handbook of Optical Constants of Solids, E. D. Palik, ed. (Academic, 1985), Vol. 1, pp. 275–367.

D. Grieser, H. Uecker, S.-A. Biehs, O. Huth, F. Rüting, and M. Holthaus, “Perturbation theory for plasmonic eigenvalues,” Phys. Rev. B 80, 245405 (2009).

[CrossRef]

M. Mansuripur, A. R. Zakharian, A. Lesuffleur, S.-H. Oh, R. J. Jones, N. C. Lindquist, H. Im, A. Kobyakov, and J. V. Moloney, “Plasmonic nano-structures for optical data storage,” Opt. Express 17, 14001–14014 (2009).

[CrossRef]

B. Hecht, H. Bielefeldt, L. Novotny, Y. Inouye, and D. W. Pohl, “Local excitation, scattering, and interference of surface plasmons,” Phys. Rev. Lett. 77, 1889–1892 (1996).

[CrossRef]

D. R. Jackson, D. P. Winebrenner, and A. Ishimaru, “Comparison of perturbation theories for rough-surface scattering,” J. Acoust. Soc. Am. 83, 961–969 (1988).

[CrossRef]

D. R. Jackson, D. P. Winebrenner, and A. Ishimaru, “Comparison of perturbation theories for rough-surface scattering,” J. Acoust. Soc. Am. 83, 961–969 (1988).

[CrossRef]

P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6, 4370–4379 (1972).

[CrossRef]

T. W. Johnson, Z. J. Lapin, R. Beams, N. C. Lindquist, S. G. Rodrigo, L. Novotny, and S.-H. Oh, “Highly reproducible near-field optical imaging with sub-20-nm resolution based on template-stripped gold pyramids,” ACS Nano 6, 9168–9174 (2012).

[CrossRef]

N. C. Lindquist, T. W. Johnson, D. J. Norris, and S.-H. Oh, “Monolithic integration of continuously tunable plasmonic nanostructures,” Nano Lett. 11, 3526–3530 (2011).

[CrossRef]

M. Mansuripur, A. R. Zakharian, A. Lesuffleur, S.-H. Oh, R. J. Jones, N. C. Lindquist, H. Im, A. Kobyakov, and J. V. Moloney, “Plasmonic nano-structures for optical data storage,” Opt. Express 17, 14001–14014 (2009).

[CrossRef]

S. Kahaly, S. K. Yadav, W. M. Wang, S. Sengupta, Z. M. Sheng, A. Das, P. K. Kaw, and G. R. Kumar, “Near-complete absorption of intense, ultrashort laser light by sub-λ gratings,” Phys. Rev. Lett. 101, 145001 (2008).

[CrossRef]

S. Kahaly, S. K. Yadav, W. M. Wang, S. Sengupta, Z. M. Sheng, A. Das, P. K. Kaw, and G. R. Kumar, “Near-complete absorption of intense, ultrashort laser light by sub-λ gratings,” Phys. Rev. Lett. 101, 145001 (2008).

[CrossRef]

L. Kazandjian, “A discussion of the properties of the Rayleigh perturbative solution in diffraction theory,” Wave Motion 42, 169–176 (2005).

[CrossRef]

E. Rodriguez and Y. Kim, “A unified perturbation expansion for surface scattering,” Radio Sci. 27, 79–93 (1992).

[CrossRef]

W. L. Barnes, T. W. Preist, S. C. Kitson, and J. R. Sambles, “Physical origin of photonic energy gaps in the propagation of surface plasmons on gratings,” Phys. Rev. B 54, 6227–6244 (1996).

[CrossRef]

W. L. Barnes, T. W. Preist, S. C. Kitson, J. R. Sambles, N. P. K. Cotter, and D. J. Nash, “Photonic gaps in the dispersion of surface plasmons on gratings,” Phys. Rev. B 51, 11164–11167 (1995).

[CrossRef]

A. Schädle, L. Zschiedrich, S. Burger, R. Klose, and F. Schmidt, “Domain decomposition method for Maxwell’s equations: scattering off periodic structures,” J. Comput. Phys. 226, 477–493 (2007).

[CrossRef]

M. Kreiter, S. Mittler, W. Knoll, and J. R. Sambles, “Surface plasmon-related resonances on deep and asymmetric gold gratings,” Phys. Rev. B 65, 125415 (2002).

[CrossRef]

M. Mansuripur, A. R. Zakharian, A. Lesuffleur, S.-H. Oh, R. J. Jones, N. C. Lindquist, H. Im, A. Kobyakov, and J. V. Moloney, “Plasmonic nano-structures for optical data storage,” Opt. Express 17, 14001–14014 (2009).

[CrossRef]

M. Kreiter, S. Mittler, W. Knoll, and J. R. Sambles, “Surface plasmon-related resonances on deep and asymmetric gold gratings,” Phys. Rev. B 65, 125415 (2002).

[CrossRef]

A. Trügler, J.-C. Tinguely, J. R. Krenn, A. Hohenau, and U. Hohenester, “Influence of surface roughness on the optical properties of plasmonic nanoparticles,” Phys. Rev. B 83, 081412(R) (2011).

[CrossRef]

H. Ditlbacher, J. R. Krenn, N. Felidj, B. Lamprecht, G. Schider, M. Salerno, A. Leitner, and F. R. Aussenegg, “Fluorescence imaging of surface plasmon fields,” Appl. Phys. Lett. 80, 404–406 (2002).

[CrossRef]

E. Kretschmann and H. Raether, “Radiative decay of non radiative surface plasmons excited by light,” Z. Naturforsch. A 23, 2135–2136 (1968).

O. Tsilipakos, A. Pitilakis, A. Tasolamprou, T. Yioultsis, and E. Kriezis, “Computational techniques for the analysis and design of dielectric-loaded plasmonic circuitry,” Opt. Quantum Electron. 42, 541–555 (2011).

[CrossRef]

F. J. García-Vidal, L. Martin-Moreno, T. W. Ebbesen, and L. Kuipers, “Light passing through subwavelength apertures,” Rev. Mod. Phys. 82, 729–787 (2010).

[CrossRef]

S. Kahaly, S. K. Yadav, W. M. Wang, S. Sengupta, Z. M. Sheng, A. Das, P. K. Kaw, and G. R. Kumar, “Near-complete absorption of intense, ultrashort laser light by sub-λ gratings,” Phys. Rev. Lett. 101, 145001 (2008).

[CrossRef]

H. Kurkcu and F. Reitich, “Stable and efficient evaluation of periodized Green’s functions for the Helmholtz equation at high frequencies,” J. Comput. Phys. 228, 75–95 (2009).

[CrossRef]

H. Kurkcu, A. Ortan, and F. Reitich, “An efficient integral equation solver for two-dimensional simulations in nanoplasmonics,” in Proceedings of Waves 2013, Tunis, Tunisia (2013).

H. Ditlbacher, J. R. Krenn, N. Felidj, B. Lamprecht, G. Schider, M. Salerno, A. Leitner, and F. R. Aussenegg, “Fluorescence imaging of surface plasmon fields,” Appl. Phys. Lett. 80, 404–406 (2002).

[CrossRef]

T. W. Johnson, Z. J. Lapin, R. Beams, N. C. Lindquist, S. G. Rodrigo, L. Novotny, and S.-H. Oh, “Highly reproducible near-field optical imaging with sub-20-nm resolution based on template-stripped gold pyramids,” ACS Nano 6, 9168–9174 (2012).

[CrossRef]

J. M. Montgomery, T.-W. Lee, and S. K. Gray, “Theory and modeling of light interactions with metallic nanostructures,” J. Phys. Condens. Matter 20, 323201 (2008).

[CrossRef]

J. Hoffmann, C. Hafner, P. Leidenberger, J. Hesselbarth, and S. Burger, “Comparison of electromagnetic field solvers for the 3D analysis of plasmonic nano antennas,” Proc. SPIE 7390, 73900J (2009).

H. Ditlbacher, J. R. Krenn, N. Felidj, B. Lamprecht, G. Schider, M. Salerno, A. Leitner, and F. R. Aussenegg, “Fluorescence imaging of surface plasmon fields,” Appl. Phys. Lett. 80, 404–406 (2002).

[CrossRef]

M. Mansuripur, A. R. Zakharian, A. Lesuffleur, S.-H. Oh, R. J. Jones, N. C. Lindquist, H. Im, A. Kobyakov, and J. V. Moloney, “Plasmonic nano-structures for optical data storage,” Opt. Express 17, 14001–14014 (2009).

[CrossRef]

L. Li and G. Granet, “Field singularities at lossless metal-dielectric right-angle edges and their ramifications to the numerical modeling of gratings,” J. Opt. Soc. Am. A 28, 738–746 (2011).

[CrossRef]

N. Bonod, E. Popov, L. Li, and B. Chernov, “Unidirectional excitation of surface plasmons by slanted gratings,” Opt. Express 15, 11427–11432 (2007).

[CrossRef]

L. Li, J. Chandezon, G. Granet, and J.-P. Plumey, “Rigorous and efficient grating-analysis method made easy for optical engineers,” Appl. Opt. 38, 304–313 (1999).

[CrossRef]

L. Li, “New formulation of the Fourier modal method for crossed surface-relief gratings,” J. Opt. Soc. Am. A 14, 2758–2767 (1997).

[CrossRef]

T. W. Johnson, Z. J. Lapin, R. Beams, N. C. Lindquist, S. G. Rodrigo, L. Novotny, and S.-H. Oh, “Highly reproducible near-field optical imaging with sub-20-nm resolution based on template-stripped gold pyramids,” ACS Nano 6, 9168–9174 (2012).

[CrossRef]

N. C. Lindquist, P. Nagpal, K. M. McPeak, D. J. Norris, and S.-H. Oh, “Engineering metallic nanostructures for plasmonics and nanophotonics,” Rep. Prog. Phys. 75, 036501 (2012).

[CrossRef]

N. C. Lindquist, T. W. Johnson, D. J. Norris, and S.-H. Oh, “Monolithic integration of continuously tunable plasmonic nanostructures,” Nano Lett. 11, 3526–3530 (2011).

[CrossRef]

M. Mansuripur, A. R. Zakharian, A. Lesuffleur, S.-H. Oh, R. J. Jones, N. C. Lindquist, H. Im, A. Kobyakov, and J. V. Moloney, “Plasmonic nano-structures for optical data storage,” Opt. Express 17, 14001–14014 (2009).

[CrossRef]

F. García-Vidal, J. Sánchez-Dehesa, A. Dechelette, E. Bustarret, T. López-Rios, T. Fournier, and B. Pannetier, “Localized surface plasmons in lamellar metallic gratings,” J. Lightwave Technol. 17, 2191–2195 (1999).

[CrossRef]

T. López-Rios, D. Mendoza, F. J. García-Vidal, J. Sánchez-Dehesa, and B. Pannetier, “Surface shape resonances in lamellar metallic gratings,” Phys. Rev. Lett. 81, 665–668 (1998).

[CrossRef]

D. W. Lynch and W. R. Hunter, “Comments on the optical constants of metals and an introduction to the data for several metals,” in Handbook of Optical Constants of Solids, E. D. Palik, ed. (Academic, 1985), Vol. 1, pp. 275–367.

S. A. Maier, Plasmonics: Fundamentals and Applications (Springer, 2007).

A. Malcolm and D. P. Nicholls, “A field expansions method for scattering by periodic multilayered media,” J. Acoust. Soc. Am. 129, 1783–1793 (2011).

[CrossRef]

M. Mansuripur, A. R. Zakharian, A. Lesuffleur, S.-H. Oh, R. J. Jones, N. C. Lindquist, H. Im, A. Kobyakov, and J. V. Moloney, “Plasmonic nano-structures for optical data storage,” Opt. Express 17, 14001–14014 (2009).

[CrossRef]

F. J. García-Vidal, L. Martin-Moreno, T. W. Ebbesen, and L. Kuipers, “Light passing through subwavelength apertures,” Rev. Mod. Phys. 82, 729–787 (2010).

[CrossRef]

J. Chandezon, M. Dupuis, G. Cornet, and D. Maystre, “Multicoated gratings: a differential formalism applicable in the entire optical region,” J. Opt. Soc. Am. A 72, 839–846 (1982).

[CrossRef]

J. Chandezon, G. Raoult, and D. Maystre, “A new theoretical method for diffraction gratings and its numerical application,” J. Opt. 11, 235–241 (1980).

[CrossRef]

D. Maystre, “Theory of Wood’s anomalies,” in Plasmonics: From Basics to Advanced Topics, S. Enoch and N. Bonod, eds., Vol. 167 of Springer Series in Optical Sciences (Springer, 2012), Chap. 2, pp. 39–83.

N. C. Lindquist, P. Nagpal, K. M. McPeak, D. J. Norris, and S.-H. Oh, “Engineering metallic nanostructures for plasmonics and nanophotonics,” Rep. Prog. Phys. 75, 036501 (2012).

[CrossRef]

T. López-Rios, D. Mendoza, F. J. García-Vidal, J. Sánchez-Dehesa, and B. Pannetier, “Surface shape resonances in lamellar metallic gratings,” Phys. Rev. Lett. 81, 665–668 (1998).

[CrossRef]

J. Smajic, C. Hafner, L. Raguin, K. Tavzarashvili, and M. Mishrikey, “Comparison of numerical methods for the analysis of plasmonic structures,” J. Comput. Theor. Nanosci. 6, 763–774 (2009).

[CrossRef]

M. Kreiter, S. Mittler, W. Knoll, and J. R. Sambles, “Surface plasmon-related resonances on deep and asymmetric gold gratings,” Phys. Rev. B 65, 125415 (2002).

[CrossRef]

M. Mansuripur, A. R. Zakharian, A. Lesuffleur, S.-H. Oh, R. J. Jones, N. C. Lindquist, H. Im, A. Kobyakov, and J. V. Moloney, “Plasmonic nano-structures for optical data storage,” Opt. Express 17, 14001–14014 (2009).

[CrossRef]

J. M. Montgomery, T.-W. Lee, and S. K. Gray, “Theory and modeling of light interactions with metallic nanostructures,” J. Phys. Condens. Matter 20, 323201 (2008).

[CrossRef]

N. C. Lindquist, P. Nagpal, K. M. McPeak, D. J. Norris, and S.-H. Oh, “Engineering metallic nanostructures for plasmonics and nanophotonics,” Rep. Prog. Phys. 75, 036501 (2012).

[CrossRef]

D. J. Nash and J. R. Sambles, “Surface plasmon–polariton study of the optical dielectric function of silver,” J. Mod. Opt. 43, 81–91 (1996).

W. L. Barnes, T. W. Preist, S. C. Kitson, J. R. Sambles, N. P. K. Cotter, and D. J. Nash, “Photonic gaps in the dispersion of surface plasmons on gratings,” Phys. Rev. B 51, 11164–11167 (1995).

[CrossRef]

A. Malcolm and D. P. Nicholls, “A field expansions method for scattering by periodic multilayered media,” J. Acoust. Soc. Am. 129, 1783–1793 (2011).

[CrossRef]

Y. Otani and N. Nishimura, “A periodic FMM for Maxwell’s equations in 3D and its applications to problems related to photonic crystals,” J. Comput. Phys. 227, 4630–4652 (2008).

[CrossRef]

N. C. Lindquist, P. Nagpal, K. M. McPeak, D. J. Norris, and S.-H. Oh, “Engineering metallic nanostructures for plasmonics and nanophotonics,” Rep. Prog. Phys. 75, 036501 (2012).

[CrossRef]

N. C. Lindquist, T. W. Johnson, D. J. Norris, and S.-H. Oh, “Monolithic integration of continuously tunable plasmonic nanostructures,” Nano Lett. 11, 3526–3530 (2011).

[CrossRef]

T. W. Johnson, Z. J. Lapin, R. Beams, N. C. Lindquist, S. G. Rodrigo, L. Novotny, and S.-H. Oh, “Highly reproducible near-field optical imaging with sub-20-nm resolution based on template-stripped gold pyramids,” ACS Nano 6, 9168–9174 (2012).

[CrossRef]

B. Hecht, H. Bielefeldt, L. Novotny, Y. Inouye, and D. W. Pohl, “Local excitation, scattering, and interference of surface plasmons,” Phys. Rev. Lett. 77, 1889–1892 (1996).

[CrossRef]

L. Novotny and B. Hecht, Principles of Nano-Optics (Cambridge University, 2012).

K. A. O’Donnell, “High-order perturbation theory for light scattering from a rough metal surface,” J. Opt. Soc. Am. A 18, 1507–1518 (2001).

[CrossRef]

K. A. O’Donnell, “Small-amplitude perturbation theory for one-dimensionally rough surfaces,” in Light Scattering and Nanoscale Surface Roughness, A. A. Maradudin and D. J. Lockwood, eds., Nanostructure Science and Technology (Springer, 2007), Chap. 5, pp. 107–126.

T. W. Johnson, Z. J. Lapin, R. Beams, N. C. Lindquist, S. G. Rodrigo, L. Novotny, and S.-H. Oh, “Highly reproducible near-field optical imaging with sub-20-nm resolution based on template-stripped gold pyramids,” ACS Nano 6, 9168–9174 (2012).

[CrossRef]

N. C. Lindquist, P. Nagpal, K. M. McPeak, D. J. Norris, and S.-H. Oh, “Engineering metallic nanostructures for plasmonics and nanophotonics,” Rep. Prog. Phys. 75, 036501 (2012).

[CrossRef]

N. C. Lindquist, T. W. Johnson, D. J. Norris, and S.-H. Oh, “Monolithic integration of continuously tunable plasmonic nanostructures,” Nano Lett. 11, 3526–3530 (2011).

[CrossRef]

M. Mansuripur, A. R. Zakharian, A. Lesuffleur, S.-H. Oh, R. J. Jones, N. C. Lindquist, H. Im, A. Kobyakov, and J. V. Moloney, “Plasmonic nano-structures for optical data storage,” Opt. Express 17, 14001–14014 (2009).

[CrossRef]

H. Kurkcu, A. Ortan, and F. Reitich, “An efficient integral equation solver for two-dimensional simulations in nanoplasmonics,” in Proceedings of Waves 2013, Tunis, Tunisia (2013).

Y. Otani and N. Nishimura, “A periodic FMM for Maxwell’s equations in 3D and its applications to problems related to photonic crystals,” J. Comput. Phys. 227, 4630–4652 (2008).

[CrossRef]

A. Otto, “Excitation of nonradiative surface plasma waves in silver by the method of frustrated total reflection,” Z. Phys. 216, 398–410 (1968).

[CrossRef]

F. García-Vidal, J. Sánchez-Dehesa, A. Dechelette, E. Bustarret, T. López-Rios, T. Fournier, and B. Pannetier, “Localized surface plasmons in lamellar metallic gratings,” J. Lightwave Technol. 17, 2191–2195 (1999).

[CrossRef]

T. López-Rios, D. Mendoza, F. J. García-Vidal, J. Sánchez-Dehesa, and B. Pannetier, “Surface shape resonances in lamellar metallic gratings,” Phys. Rev. Lett. 81, 665–668 (1998).

[CrossRef]

O. Tsilipakos, A. Pitilakis, A. Tasolamprou, T. Yioultsis, and E. Kriezis, “Computational techniques for the analysis and design of dielectric-loaded plasmonic circuitry,” Opt. Quantum Electron. 42, 541–555 (2011).

[CrossRef]

B. Hecht, H. Bielefeldt, L. Novotny, Y. Inouye, and D. W. Pohl, “Local excitation, scattering, and interference of surface plasmons,” Phys. Rev. Lett. 77, 1889–1892 (1996).

[CrossRef]

W. L. Barnes, T. W. Preist, S. C. Kitson, and J. R. Sambles, “Physical origin of photonic energy gaps in the propagation of surface plasmons on gratings,” Phys. Rev. B 54, 6227–6244 (1996).

[CrossRef]

W. L. Barnes, T. W. Preist, S. C. Kitson, J. R. Sambles, N. P. K. Cotter, and D. J. Nash, “Photonic gaps in the dispersion of surface plasmons on gratings,” Phys. Rev. B 51, 11164–11167 (1995).

[CrossRef]

E. Kretschmann and H. Raether, “Radiative decay of non radiative surface plasmons excited by light,” Z. Naturforsch. A 23, 2135–2136 (1968).

J. Smajic, C. Hafner, L. Raguin, K. Tavzarashvili, and M. Mishrikey, “Comparison of numerical methods for the analysis of plasmonic structures,” J. Comput. Theor. Nanosci. 6, 763–774 (2009).

[CrossRef]

B. Alavikia and O. Ramahi, “Limitation of using absorbing boundary condition to solve the problem of scattering from a cavity in metallic screens,” in Antennas and Propagation Society International Symposium (APSURSI) (IEEE, 2010), pp. 1–4.

J. Chandezon, G. Raoult, and D. Maystre, “A new theoretical method for diffraction gratings and its numerical application,” J. Opt. 11, 235–241 (1980).

[CrossRef]

H. Kurkcu and F. Reitich, “Stable and efficient evaluation of periodized Green’s functions for the Helmholtz equation at high frequencies,” J. Comput. Phys. 228, 75–95 (2009).

[CrossRef]

O. P. Bruno and F. Reitich, “Numerical solution of diffraction problems: a method of variation of boundaries,” J. Opt. Soc. Am. A 10, 1168–1175 (1993).

[CrossRef]

O. P. Bruno and F. Reitich, “Numerical solution of diffraction problems: a method of variation of boundaries. III. Doubly periodic gratings,” J. Opt. Soc. Am. A 10, 2551–2562 (1993).

[CrossRef]

O. P. Bruno and F. Reitich, “Numerical solution of diffraction problems: a method of variation of boundaries. II. Finitely conducting gratings, Padé approximants, and singularities,” J. Opt. Soc. Am. A 10, 2307–2316 (1993).

[CrossRef]

O. P. Bruno and F. Reitich, “Solution of a boundary value problem for the Helmholtz equation via variation of the boundary into the complex domain,” Proc. R. Soc. Edinburgh, Sect. A 122, 317–340 (1992).

[CrossRef]

O. Bruno and F. Reitich, “High-order boundary perturbation methods,” in Mathematical Modeling in Optical Science, G. Bao, L. Cowsar, and W. Masters, eds., Vol. 22 of Frontiers in Applied Mathematics (SIAM, 2001), Chap. 3, pp. 71–109.

H. Kurkcu, A. Ortan, and F. Reitich, “An efficient integral equation solver for two-dimensional simulations in nanoplasmonics,” in Proceedings of Waves 2013, Tunis, Tunisia (2013).

S. O. Rice, “Reflection of electromagnetic waves from slightly rough surfaces,” Commun. Pure Appl. Math. 4, 351–378 (1951).

[CrossRef]

R. H. Ritchie, E. T. Arakawa, J. J. Cowan, and R. N. Hamm, “Surface-plasmon resonance effect in grating diffraction,” Phys. Rev. Lett. 21, 1530–1533 (1968).

[CrossRef]

T. W. Johnson, Z. J. Lapin, R. Beams, N. C. Lindquist, S. G. Rodrigo, L. Novotny, and S.-H. Oh, “Highly reproducible near-field optical imaging with sub-20-nm resolution based on template-stripped gold pyramids,” ACS Nano 6, 9168–9174 (2012).

[CrossRef]

E. Rodriguez and Y. Kim, “A unified perturbation expansion for surface scattering,” Radio Sci. 27, 79–93 (1992).

[CrossRef]

D. Grieser, H. Uecker, S.-A. Biehs, O. Huth, F. Rüting, and M. Holthaus, “Perturbation theory for plasmonic eigenvalues,” Phys. Rev. B 80, 245405 (2009).

[CrossRef]

H. Ditlbacher, J. R. Krenn, N. Felidj, B. Lamprecht, G. Schider, M. Salerno, A. Leitner, and F. R. Aussenegg, “Fluorescence imaging of surface plasmon fields,” Appl. Phys. Lett. 80, 404–406 (2002).

[CrossRef]

Z. Chen, I. R. Hooper, and J. R. Sambles, “Low dispersion surface plasmon–polaritons on deep silver gratings,” J. Mod. Opt. 53, 1569–1576 (2006).

[CrossRef]

I. R. Hooper and J. R. Sambles, “Dispersion of surface plasmon polaritons on short-pitch metal gratings,” Phys. Rev. B 65, 165432 (2002).

[CrossRef]

M. Kreiter, S. Mittler, W. Knoll, and J. R. Sambles, “Surface plasmon-related resonances on deep and asymmetric gold gratings,” Phys. Rev. B 65, 125415 (2002).

[CrossRef]

R. A. Watts, A. P. Hibbins, and J. R. Sambles, “The influence of grating profile on surface plasmon polariton resonances recorded in different diffracted orders,” J. Mod. Opt. 46, 2157–2186 (1999).

W. L. Barnes, T. W. Preist, S. C. Kitson, and J. R. Sambles, “Physical origin of photonic energy gaps in the propagation of surface plasmons on gratings,” Phys. Rev. B 54, 6227–6244 (1996).

[CrossRef]

D. J. Nash and J. R. Sambles, “Surface plasmon–polariton study of the optical dielectric function of silver,” J. Mod. Opt. 43, 81–91 (1996).

W. L. Barnes, T. W. Preist, S. C. Kitson, J. R. Sambles, N. P. K. Cotter, and D. J. Nash, “Photonic gaps in the dispersion of surface plasmons on gratings,” Phys. Rev. B 51, 11164–11167 (1995).

[CrossRef]

F. García-Vidal, J. Sánchez-Dehesa, A. Dechelette, E. Bustarret, T. López-Rios, T. Fournier, and B. Pannetier, “Localized surface plasmons in lamellar metallic gratings,” J. Lightwave Technol. 17, 2191–2195 (1999).

[CrossRef]

T. López-Rios, D. Mendoza, F. J. García-Vidal, J. Sánchez-Dehesa, and B. Pannetier, “Surface shape resonances in lamellar metallic gratings,” Phys. Rev. Lett. 81, 665–668 (1998).

[CrossRef]

A. Schädle, L. Zschiedrich, S. Burger, R. Klose, and F. Schmidt, “Domain decomposition method for Maxwell’s equations: scattering off periodic structures,” J. Comput. Phys. 226, 477–493 (2007).

[CrossRef]

H. Ditlbacher, J. R. Krenn, N. Felidj, B. Lamprecht, G. Schider, M. Salerno, A. Leitner, and F. R. Aussenegg, “Fluorescence imaging of surface plasmon fields,” Appl. Phys. Lett. 80, 404–406 (2002).

[CrossRef]

A. Schädle, L. Zschiedrich, S. Burger, R. Klose, and F. Schmidt, “Domain decomposition method for Maxwell’s equations: scattering off periodic structures,” J. Comput. Phys. 226, 477–493 (2007).

[CrossRef]

M. Wang, C. Engstrom, K. Schmidt, and C. Hafner, “On high-order FEM applied to canonical scattering problems in plasmonics,” J. Comput. Theor. Nanosci. 8, 1564–1572 (2011).

[CrossRef]

M. Huber, J. Schöberl, A. Sinwel, and S. Zaglmayr, “Simulation of diffraction in periodic media with a coupled finite element and plane wave approach,” SIAM J. Sci. Comput. 31, 1500–1517 (2009).

[CrossRef]

S. Kahaly, S. K. Yadav, W. M. Wang, S. Sengupta, Z. M. Sheng, A. Das, P. K. Kaw, and G. R. Kumar, “Near-complete absorption of intense, ultrashort laser light by sub-λ gratings,” Phys. Rev. Lett. 101, 145001 (2008).

[CrossRef]

S. Kahaly, S. K. Yadav, W. M. Wang, S. Sengupta, Z. M. Sheng, A. Das, P. K. Kaw, and G. R. Kumar, “Near-complete absorption of intense, ultrashort laser light by sub-λ gratings,” Phys. Rev. Lett. 101, 145001 (2008).

[CrossRef]

M. Huber, J. Schöberl, A. Sinwel, and S. Zaglmayr, “Simulation of diffraction in periodic media with a coupled finite element and plane wave approach,” SIAM J. Sci. Comput. 31, 1500–1517 (2009).

[CrossRef]

J. Smajic, C. Hafner, L. Raguin, K. Tavzarashvili, and M. Mishrikey, “Comparison of numerical methods for the analysis of plasmonic structures,” J. Comput. Theor. Nanosci. 6, 763–774 (2009).

[CrossRef]

A. Taflove and S. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain method (Artech House, 2005).

O. Tsilipakos, A. Pitilakis, A. Tasolamprou, T. Yioultsis, and E. Kriezis, “Computational techniques for the analysis and design of dielectric-loaded plasmonic circuitry,” Opt. Quantum Electron. 42, 541–555 (2011).

[CrossRef]

J. Smajic, C. Hafner, L. Raguin, K. Tavzarashvili, and M. Mishrikey, “Comparison of numerical methods for the analysis of plasmonic structures,” J. Comput. Theor. Nanosci. 6, 763–774 (2009).

[CrossRef]

A. Trügler, J.-C. Tinguely, J. R. Krenn, A. Hohenau, and U. Hohenester, “Influence of surface roughness on the optical properties of plasmonic nanoparticles,” Phys. Rev. B 83, 081412(R) (2011).

[CrossRef]

A. Trügler, J.-C. Tinguely, J. R. Krenn, A. Hohenau, and U. Hohenester, “Influence of surface roughness on the optical properties of plasmonic nanoparticles,” Phys. Rev. B 83, 081412(R) (2011).

[CrossRef]

O. Tsilipakos, A. Pitilakis, A. Tasolamprou, T. Yioultsis, and E. Kriezis, “Computational techniques for the analysis and design of dielectric-loaded plasmonic circuitry,” Opt. Quantum Electron. 42, 541–555 (2011).

[CrossRef]

C.-C. Chao, S.-H. Tu, C.-M. Wang, H.-I. Huang, C.-C. Chen, and J.-Y. Chang, “Impedance-matching surface plasmon absorber for FDTD simulations,” Plasmonics 5, 51–55 (2010).

[CrossRef]

D. Grieser, H. Uecker, S.-A. Biehs, O. Huth, F. Rüting, and M. Holthaus, “Perturbation theory for plasmonic eigenvalues,” Phys. Rev. B 80, 245405 (2009).

[CrossRef]

J. Uretsky, “The scattering of plane waves from periodic surfaces,” Ann. Phys. 33, 400–427 (1965).

[CrossRef]

A. G. Voronovich, “Small-slope approximation in wave scattering by rough surfaces,” Sov. Phys. J. Exp. Theor. Phys. 62, 65–70 (1985).

C.-C. Chao, S.-H. Tu, C.-M. Wang, H.-I. Huang, C.-C. Chen, and J.-Y. Chang, “Impedance-matching surface plasmon absorber for FDTD simulations,” Plasmonics 5, 51–55 (2010).

[CrossRef]

M. Wang, C. Engstrom, K. Schmidt, and C. Hafner, “On high-order FEM applied to canonical scattering problems in plasmonics,” J. Comput. Theor. Nanosci. 8, 1564–1572 (2011).

[CrossRef]

S. Kahaly, S. K. Yadav, W. M. Wang, S. Sengupta, Z. M. Sheng, A. Das, P. K. Kaw, and G. R. Kumar, “Near-complete absorption of intense, ultrashort laser light by sub-λ gratings,” Phys. Rev. Lett. 101, 145001 (2008).

[CrossRef]

K. Warnick and W. Chew, “Numerical simulation methods for rough surface scattering,” Wave Random Media 11, R1–R30 (2001).

[CrossRef]

R. A. Watts, A. P. Hibbins, and J. R. Sambles, “The influence of grating profile on surface plasmon polariton resonances recorded in different diffracted orders,” J. Mod. Opt. 46, 2157–2186 (1999).

D. R. Jackson, D. P. Winebrenner, and A. Ishimaru, “Comparison of perturbation theories for rough-surface scattering,” J. Acoust. Soc. Am. 83, 961–969 (1988).

[CrossRef]

S. Kahaly, S. K. Yadav, W. M. Wang, S. Sengupta, Z. M. Sheng, A. Das, P. K. Kaw, and G. R. Kumar, “Near-complete absorption of intense, ultrashort laser light by sub-λ gratings,” Phys. Rev. Lett. 101, 145001 (2008).

[CrossRef]

O. Tsilipakos, A. Pitilakis, A. Tasolamprou, T. Yioultsis, and E. Kriezis, “Computational techniques for the analysis and design of dielectric-loaded plasmonic circuitry,” Opt. Quantum Electron. 42, 541–555 (2011).

[CrossRef]

M. Huber, J. Schöberl, A. Sinwel, and S. Zaglmayr, “Simulation of diffraction in periodic media with a coupled finite element and plane wave approach,” SIAM J. Sci. Comput. 31, 1500–1517 (2009).

[CrossRef]

M. Mansuripur, A. R. Zakharian, A. Lesuffleur, S.-H. Oh, R. J. Jones, N. C. Lindquist, H. Im, A. Kobyakov, and J. V. Moloney, “Plasmonic nano-structures for optical data storage,” Opt. Express 17, 14001–14014 (2009).

[CrossRef]

A. Schädle, L. Zschiedrich, S. Burger, R. Klose, and F. Schmidt, “Domain decomposition method for Maxwell’s equations: scattering off periodic structures,” J. Comput. Phys. 226, 477–493 (2007).

[CrossRef]

T. W. Johnson, Z. J. Lapin, R. Beams, N. C. Lindquist, S. G. Rodrigo, L. Novotny, and S.-H. Oh, “Highly reproducible near-field optical imaging with sub-20-nm resolution based on template-stripped gold pyramids,” ACS Nano 6, 9168–9174 (2012).

[CrossRef]

J. Uretsky, “The scattering of plane waves from periodic surfaces,” Ann. Phys. 33, 400–427 (1965).

[CrossRef]

L. Li, J. Chandezon, G. Granet, and J.-P. Plumey, “Rigorous and efficient grating-analysis method made easy for optical engineers,” Appl. Opt. 38, 304–313 (1999).

[CrossRef]

A. A. Maradudin and E. R. Méndez, “Enhanced backscattering of light from weakly rough, random metal surfaces,” Appl. Opt. 32, 3335–3343 (1993).

[CrossRef]

A. Rakic, A. Djurišic, J. Elazar, and M. Majewski, “Optical properties of metallic films for vertical-cavity optoelectronic devices,” Appl. Opt. 37, 5271–5283 (1998).

[CrossRef]

D. Barchiesi, B. Guizal, and T. Grosges, “Accuracy of local field enhancement models: toward predictive models?” Appl. Phys. B 84, 55–60 (2006).

[CrossRef]

H. Ditlbacher, J. R. Krenn, N. Felidj, B. Lamprecht, G. Schider, M. Salerno, A. Leitner, and F. R. Aussenegg, “Fluorescence imaging of surface plasmon fields,” Appl. Phys. Lett. 80, 404–406 (2002).

[CrossRef]

D. Christensen and D. Fowers, “Modeling SPR sensors with the finite-difference time-domain method,” Biosens. Bioelectron. 11, 677–684 (1996).

[CrossRef]

J. Homola, “Surface plasmon resonance sensors for detection of chemical and biological species,” Chem. Rev. 108, 462–493 (2008).

[CrossRef]

S. O. Rice, “Reflection of electromagnetic waves from slightly rough surfaces,” Commun. Pure Appl. Math. 4, 351–378 (1951).

[CrossRef]

D. R. Jackson, D. P. Winebrenner, and A. Ishimaru, “Comparison of perturbation theories for rough-surface scattering,” J. Acoust. Soc. Am. 83, 961–969 (1988).

[CrossRef]

A. Malcolm and D. P. Nicholls, “A field expansions method for scattering by periodic multilayered media,” J. Acoust. Soc. Am. 129, 1783–1793 (2011).

[CrossRef]

Y. Otani and N. Nishimura, “A periodic FMM for Maxwell’s equations in 3D and its applications to problems related to photonic crystals,” J. Comput. Phys. 227, 4630–4652 (2008).

[CrossRef]

H. Kurkcu and F. Reitich, “Stable and efficient evaluation of periodized Green’s functions for the Helmholtz equation at high frequencies,” J. Comput. Phys. 228, 75–95 (2009).

[CrossRef]

A. Schädle, L. Zschiedrich, S. Burger, R. Klose, and F. Schmidt, “Domain decomposition method for Maxwell’s equations: scattering off periodic structures,” J. Comput. Phys. 226, 477–493 (2007).

[CrossRef]

J. Smajic, C. Hafner, L. Raguin, K. Tavzarashvili, and M. Mishrikey, “Comparison of numerical methods for the analysis of plasmonic structures,” J. Comput. Theor. Nanosci. 6, 763–774 (2009).

[CrossRef]

M. Wang, C. Engstrom, K. Schmidt, and C. Hafner, “On high-order FEM applied to canonical scattering problems in plasmonics,” J. Comput. Theor. Nanosci. 8, 1564–1572 (2011).

[CrossRef]

F. García-Vidal, J. Sánchez-Dehesa, A. Dechelette, E. Bustarret, T. López-Rios, T. Fournier, and B. Pannetier, “Localized surface plasmons in lamellar metallic gratings,” J. Lightwave Technol. 17, 2191–2195 (1999).

[CrossRef]

G. Veronis and S. Fan, “Modes of subwavelength plasmonic slot waveguides,” J. Lightwave Technol. 25, 2511–2521 (2007).

[CrossRef]

R. A. Watts, A. P. Hibbins, and J. R. Sambles, “The influence of grating profile on surface plasmon polariton resonances recorded in different diffracted orders,” J. Mod. Opt. 46, 2157–2186 (1999).

Z. Chen, I. R. Hooper, and J. R. Sambles, “Low dispersion surface plasmon–polaritons on deep silver gratings,” J. Mod. Opt. 53, 1569–1576 (2006).

[CrossRef]

D. J. Nash and J. R. Sambles, “Surface plasmon–polariton study of the optical dielectric function of silver,” J. Mod. Opt. 43, 81–91 (1996).

J. Chandezon, G. Raoult, and D. Maystre, “A new theoretical method for diffraction gratings and its numerical application,” J. Opt. 11, 235–241 (1980).

[CrossRef]

J. Chandezon, M. Dupuis, G. Cornet, and D. Maystre, “Multicoated gratings: a differential formalism applicable in the entire optical region,” J. Opt. Soc. Am. A 72, 839–846 (1982).

[CrossRef]

G. Granet, “Analysis of diffraction by surface-relief crossed gratings with use of the Chandezon method: application to multilayer crossed gratings,” J. Opt. Soc. Am. A 15, 1121–1131 (1998).

[CrossRef]

L. Li, “New formulation of the Fourier modal method for crossed surface-relief gratings,” J. Opt. Soc. Am. A 14, 2758–2767 (1997).

[CrossRef]

E. P. Da Silva, G. A. Farias, and A. A. Maradudin, “Analysis of three theories of scattering of electromagnetic radiation by gratings,” J. Opt. Soc. Am. A 4, 2022–2024 (1987).

[CrossRef]

O. P. Bruno and F. Reitich, “Numerical solution of diffraction problems: a method of variation of boundaries,” J. Opt. Soc. Am. A 10, 1168–1175 (1993).

[CrossRef]

O. P. Bruno and F. Reitich, “Numerical solution of diffraction problems: a method of variation of boundaries. II. Finitely conducting gratings, Padé approximants, and singularities,” J. Opt. Soc. Am. A 10, 2307–2316 (1993).

[CrossRef]

O. P. Bruno and F. Reitich, “Numerical solution of diffraction problems: a method of variation of boundaries. III. Doubly periodic gratings,” J. Opt. Soc. Am. A 10, 2551–2562 (1993).

[CrossRef]

M. G. Moharam, D. A. Pommet, E. B. Grann, and T. K. Gaylord, “Stable implementation of the rigorous coupled-wave analysis for surface-relief gratings: enhanced transmittance matrix approach,” J. Opt. Soc. Am. A 12, 1077–1086 (1995).

[CrossRef]

M. G. Moharam and T. K. Gaylord, “Rigorous coupled-wave analysis of planar-grating diffraction,” J. Opt. Soc. Am. A 71, 811–818 (1981).

[CrossRef]

O. P. Bruno and M. C. Haslam, “Efficient high-order evaluation of scattering by periodic surfaces: deep gratings, high frequencies, and glancing incidences,” J. Opt. Soc. Am. A 26, 658–668 (2009).

[CrossRef]

A. M. Kern and O. J. F. Martin, “Surface integral formulation for 3D simulations of plasmonic and high permittivity nanostructures,” J. Opt. Soc. Am. A 26, 732–740 (2009).

[CrossRef]

M. A. Demir and J. T. Johnson, “Fourth- and higher-order small-perturbation solution for scattering from dielectric rough surfaces,” J. Opt. Soc. Am. A 20, 2330–2337 (2003).

[CrossRef]

C.-A. Guérin and A. Sentenac, “Second-order perturbation theory for scattering from heterogeneous rough surfaces,” J. Opt. Soc. Am. A 21, 1251–1260 (2004).

[CrossRef]

H. Sai, Y. Kanamori, K. Hane, and H. Yugami, “Numerical study on spectral properties of tungsten one-dimensional surface-relief gratings for spectrally selective devices,” J. Opt. Soc. Am. A 22, 1805–1813 (2005).

[CrossRef]

K. A. O’Donnell, “High-order perturbation theory for light scattering from a rough metal surface,” J. Opt. Soc. Am. A 18, 1507–1518 (2001).

[CrossRef]

A. Soubret, G. Berginc, and C. Bourrely, “Backscattering enhancement of an electromagnetic wave scattered by two-dimensional rough layers,” J. Opt. Soc. Am. A 18, 2778–2788 (2001).

[CrossRef]

B. Gallinet, A. M. Kern, and O. J. F. Martin, “Accurate and versatile modeling of electromagnetic scattering on periodic nanostructures with a surface integral approach,” J. Opt. Soc. Am. A 27, 2261–2271 (2010).

[CrossRef]

H.-Y. Xie, M.-Y. Ng, and Y.-C. Chang, “Analytical solutions to light scattering by plasmonic nanoparticles with nearly spherical shape and nonlocal effect,” J. Opt. Soc. Am. A 27, 2411–2422 (2010).

[CrossRef]

L. Li and G. Granet, “Field singularities at lossless metal-dielectric right-angle edges and their ramifications to the numerical modeling of gratings,” J. Opt. Soc. Am. A 28, 738–746 (2011).

[CrossRef]

J. Bischoff and K. Hehl, “Perturbation approach applied to modal diffraction methods,” J. Opt. Soc. Am. A 28, 859–867 (2011).

[CrossRef]

J. M. Taboada, J. Rivero, F. Obelleiro, M. G. Araújo, and L. Landesa, “Method-of-moments formulation for the analysis of plasmonic nano-optical antennas,” J. Opt. Soc. Am. A 28, 1341–1348 (2011).

[CrossRef]

A. D. Baczewski, N. C. Miller, and B. Shanker, “Rapid analysis of scattering from periodic dielectric structures using accelerated Cartesian expansions,” J. Opt. Soc. Am. A 29, 531–540 (2012).

[CrossRef]

J. M. Montgomery, T.-W. Lee, and S. K. Gray, “Theory and modeling of light interactions with metallic nanostructures,” J. Phys. Condens. Matter 20, 323201 (2008).

[CrossRef]

N. C. Lindquist, T. W. Johnson, D. J. Norris, and S.-H. Oh, “Monolithic integration of continuously tunable plasmonic nanostructures,” Nano Lett. 11, 3526–3530 (2011).

[CrossRef]

D. K. Gramotnev and S. I. Bozhevolnyi, “Plasmonics beyond the diffraction limit,” Nat. Photonics 4, 83–91 (2010).

[CrossRef]

W.-C. Liu, “High sensitivity of surface plasmon of weakly-distorted metallic surfaces,” Opt. Express 13, 9766–9773 (2005).

[CrossRef]

N. Bonod, E. Popov, L. Li, and B. Chernov, “Unidirectional excitation of surface plasmons by slanted gratings,” Opt. Express 15, 11427–11432 (2007).

[CrossRef]

M. Mansuripur, A. R. Zakharian, A. Lesuffleur, S.-H. Oh, R. J. Jones, N. C. Lindquist, H. Im, A. Kobyakov, and J. V. Moloney, “Plasmonic nano-structures for optical data storage,” Opt. Express 17, 14001–14014 (2009).

[CrossRef]

K. Stannigel, M. König, J. Niegemann, and K. Busch, “Discontinuous Galerkin time-domain computations of metallic nanostructures,” Opt. Express 17, 14934–14947 (2009).

[CrossRef]

G. Demésy, F. Zolla, A. Nicolet, and M. Commandré, “Versatile full-vectorial finite element model for crossed gratings,” Opt. Lett. 34, 2216–2218 (2009).

[CrossRef]

I. S. Spevak, M. A. Timchenko, and A. V. Kats, “Design of specific gratings operating under surface plasmon–polariton resonance,” Opt. Lett. 36, 1419–1421 (2011).

[CrossRef]

O. Tsilipakos, A. Pitilakis, A. Tasolamprou, T. Yioultsis, and E. Kriezis, “Computational techniques for the analysis and design of dielectric-loaded plasmonic circuitry,” Opt. Quantum Electron. 42, 541–555 (2011).

[CrossRef]

W. L. Barnes, T. W. Preist, S. C. Kitson, and J. R. Sambles, “Physical origin of photonic energy gaps in the propagation of surface plasmons on gratings,” Phys. Rev. B 54, 6227–6244 (1996).

[CrossRef]

M. Kreiter, S. Mittler, W. Knoll, and J. R. Sambles, “Surface plasmon-related resonances on deep and asymmetric gold gratings,” Phys. Rev. B 65, 125415 (2002).

[CrossRef]

D. Grieser, H. Uecker, S.-A. Biehs, O. Huth, F. Rüting, and M. Holthaus, “Perturbation theory for plasmonic eigenvalues,” Phys. Rev. B 80, 245405 (2009).

[CrossRef]

A. Trügler, J.-C. Tinguely, J. R. Krenn, A. Hohenau, and U. Hohenester, “Influence of surface roughness on the optical properties of plasmonic nanoparticles,” Phys. Rev. B 83, 081412(R) (2011).

[CrossRef]

P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6, 4370–4379 (1972).

[CrossRef]

I. R. Hooper and J. R. Sambles, “Dispersion of surface plasmon polaritons on short-pitch metal gratings,” Phys. Rev. B 65, 165432 (2002).

[CrossRef]

J.-J. Greffet, “Scattering of electromagnetic waves by rough dielectric surfaces,” Phys. Rev. B 37, 6436–6441 (1988).

[CrossRef]

W. L. Barnes, T. W. Preist, S. C. Kitson, J. R. Sambles, N. P. K. Cotter, and D. J. Nash, “Photonic gaps in the dispersion of surface plasmons on gratings,” Phys. Rev. B 51, 11164–11167 (1995).

[CrossRef]

T. López-Rios, D. Mendoza, F. J. García-Vidal, J. Sánchez-Dehesa, and B. Pannetier, “Surface shape resonances in lamellar metallic gratings,” Phys. Rev. Lett. 81, 665–668 (1998).

[CrossRef]

R. H. Ritchie, E. T. Arakawa, J. J. Cowan, and R. N. Hamm, “Surface-plasmon resonance effect in grating diffraction,” Phys. Rev. Lett. 21, 1530–1533 (1968).

[CrossRef]

B. Hecht, H. Bielefeldt, L. Novotny, Y. Inouye, and D. W. Pohl, “Local excitation, scattering, and interference of surface plasmons,” Phys. Rev. Lett. 77, 1889–1892 (1996).

[CrossRef]

S. Kahaly, S. K. Yadav, W. M. Wang, S. Sengupta, Z. M. Sheng, A. Das, P. K. Kaw, and G. R. Kumar, “Near-complete absorption of intense, ultrashort laser light by sub-λ gratings,” Phys. Rev. Lett. 101, 145001 (2008).

[CrossRef]

C.-C. Chao, S.-H. Tu, C.-M. Wang, H.-I. Huang, C.-C. Chen, and J.-Y. Chang, “Impedance-matching surface plasmon absorber for FDTD simulations,” Plasmonics 5, 51–55 (2010).

[CrossRef]

O. P. Bruno and F. Reitich, “Solution of a boundary value problem for the Helmholtz equation via variation of the boundary into the complex domain,” Proc. R. Soc. Edinburgh, Sect. A 122, 317–340 (1992).

[CrossRef]

J. Bischoff, “Prospects and limits of the Rayleigh Fourier approach for diffraction modelling in scatterometry and lithography,” Proc. SPIE 7390, 73901E (2009).

J. Hoffmann, C. Hafner, P. Leidenberger, J. Hesselbarth, and S. Burger, “Comparison of electromagnetic field solvers for the 3D analysis of plasmonic nano antennas,” Proc. SPIE 7390, 73900J (2009).

E. Rodriguez and Y. Kim, “A unified perturbation expansion for surface scattering,” Radio Sci. 27, 79–93 (1992).

[CrossRef]

N. C. Lindquist, P. Nagpal, K. M. McPeak, D. J. Norris, and S.-H. Oh, “Engineering metallic nanostructures for plasmonics and nanophotonics,” Rep. Prog. Phys. 75, 036501 (2012).

[CrossRef]

F. J. García-Vidal, L. Martin-Moreno, T. W. Ebbesen, and L. Kuipers, “Light passing through subwavelength apertures,” Rev. Mod. Phys. 82, 729–787 (2010).

[CrossRef]

M. Huber, J. Schöberl, A. Sinwel, and S. Zaglmayr, “Simulation of diffraction in periodic media with a coupled finite element and plane wave approach,” SIAM J. Sci. Comput. 31, 1500–1517 (2009).

[CrossRef]

A. G. Voronovich, “Small-slope approximation in wave scattering by rough surfaces,” Sov. Phys. J. Exp. Theor. Phys. 62, 65–70 (1985).

L. Kazandjian, “A discussion of the properties of the Rayleigh perturbative solution in diffraction theory,” Wave Motion 42, 169–176 (2005).

[CrossRef]

K. Warnick and W. Chew, “Numerical simulation methods for rough surface scattering,” Wave Random Media 11, R1–R30 (2001).

[CrossRef]

T. Elfouhaily and C. Guérin, “A critical survey of approximate scattering wave theories from random rough surfaces,” Wave Random Media 14, R1–R40 (2004).

[CrossRef]

E. Kretschmann and H. Raether, “Radiative decay of non radiative surface plasmons excited by light,” Z. Naturforsch. A 23, 2135–2136 (1968).

A. Otto, “Excitation of nonradiative surface plasma waves in silver by the method of frustrated total reflection,” Z. Phys. 216, 398–410 (1968).

[CrossRef]

G. A. Baker and P. Graves-Morris, Padé Approximants, 2nd ed., Vol. 59 of Encyclopedia of Mathematics and its Applications (Cambridge University, 1996).

J.-J. Greffet, “Introduction to surface plasmon theory,” in Plasmonics: From Basics to Advanced Topics, S. Enoch and N. Bonod, eds., Vol. 167 of Springer Series in Optical Sciences (Springer, 2012), Chap. 4, pp. 105–148.

D. Maystre, “Theory of Wood’s anomalies,” in Plasmonics: From Basics to Advanced Topics, S. Enoch and N. Bonod, eds., Vol. 167 of Springer Series in Optical Sciences (Springer, 2012), Chap. 2, pp. 39–83.

O. Bruno and F. Reitich, “High-order boundary perturbation methods,” in Mathematical Modeling in Optical Science, G. Bao, L. Cowsar, and W. Masters, eds., Vol. 22 of Frontiers in Applied Mathematics (SIAM, 2001), Chap. 3, pp. 71–109.

K. A. O’Donnell, “Small-amplitude perturbation theory for one-dimensionally rough surfaces,” in Light Scattering and Nanoscale Surface Roughness, A. A. Maradudin and D. J. Lockwood, eds., Nanostructure Science and Technology (Springer, 2007), Chap. 5, pp. 107–126.

A. J. Jerri, ed., Advances in the Gibbs Phenomenon (Σ Sampling, 2011).

D. W. Lynch and W. R. Hunter, “Comments on the optical constants of metals and an introduction to the data for several metals,” in Handbook of Optical Constants of Solids, E. D. Palik, ed. (Academic, 1985), Vol. 1, pp. 275–367.

J. Homola, Surface Plasmon Resonance Based Sensors, Vol. 4 of Springer Series on Chemical Sensors and Biosensors (Springer, 2006).

Z. Chen, “Grating coupled surface plasmons in metallic structures,” Ph.D. dissertation (University of Exeter, 2007).

J. A. deSanto, “Overview of rough surface scattering,” in Light Scattering and Nanoscale Surface Roughness, A. A. Maradudin and D. J. Lockwood, eds., Nanostructure Science and Technology (Springer, 2007), Chap. 8, pp. 211–235.

G. Veronis and S. Fan, “Overview of simulation techniques for plasmonic devices,” in Surface Plasmon Nanophotonics, M. Brongersma and P. Kik, eds. Vol. 131 of Springer Series in Optical Sciences (Springer, 2007), pp. 169–182.

S. A. Maier, Plasmonics: Fundamentals and Applications (Springer, 2007).

L. Novotny and B. Hecht, Principles of Nano-Optics (Cambridge University, 2012).

H. Kurkcu, A. Ortan, and F. Reitich, “An efficient integral equation solver for two-dimensional simulations in nanoplasmonics,” in Proceedings of Waves 2013, Tunis, Tunisia (2013).

B. Alavikia and O. Ramahi, “Limitation of using absorbing boundary condition to solve the problem of scattering from a cavity in metallic screens,” in Antennas and Propagation Society International Symposium (APSURSI) (IEEE, 2010), pp. 1–4.

A. Taflove and S. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain method (Artech House, 2005).