A. V. Kabashin, P. Evans, S. Pastkovsky, W. Hendren, G. A. Wurtz, R. Atkinson, R. Pollard, V. A. Podolskiy, and A. V. Zayats, “Plasmonic nanorod metamaterials for biosensing,” Nature Mater. 8, 867-871 (2009).

[CrossRef]

H. Liu and P. Lalanne, “Microscopic theory of the extraordinary optical transmission,” Nature 452, 728-731(2008).

[CrossRef]
[PubMed]

G. Vincent, R. Haidar, S. Collin, N. Guérineau, J. Primot, E. Cambril, and J. L. Pelouard, “Realization of sinusoidal transmittance with subwavelength metallic structures,” J. Opt. Soc. Am. B 25, 834-840 (2008).

[CrossRef]

D. C. Skigin and R. A. Depine, “Transmission resonances of metallic compound gratings with subwavelength slits,” Phys. Rev. Lett. 95, 217402 (2005).

[CrossRef]
[PubMed]

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424, 824-830 (2003).

[CrossRef]
[PubMed]

A. Taflove and K. R. Umashankar, “The finite-difference time-domain method for numerical modeling of electromagnetic wave interactions,” Electromagnetics 10, 105-126 (1990).

[CrossRef]

M. G. Cox, “The numerical evaluation of B-splines*,” IMA J. Appl. Math. 10, 134-149 (1972).

[CrossRef]

C. De Boor, “On calculating with B-splines,” J. Approx. Theory 6, 50-62 (1972).

[CrossRef]

K. Yee, “Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media,” IEEE Trans. Antennas Propag. 14, 302-307 (1966).

[CrossRef]

I. J. Schoenberg, “Contributions to the problem of approximation of equidistant data by analytic functions. On the problem of smoothing or graduation. A first class of analytic approximation formulae,” Q. Appl. Math. 4, 45-99 (1946).

I. J. Schoenberg, “Contributions to the problem of approximation of equidistant data by analytic functions. On the problem of osculatory interpolation. A second class of analytic approximation formulae,” Q. Appl. Math. 4, 112-141 (1946).

A. V. Kabashin, P. Evans, S. Pastkovsky, W. Hendren, G. A. Wurtz, R. Atkinson, R. Pollard, V. A. Podolskiy, and A. V. Zayats, “Plasmonic nanorod metamaterials for biosensing,” Nature Mater. 8, 867-871 (2009).

[CrossRef]

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424, 824-830 (2003).

[CrossRef]
[PubMed]

J. P. Berenger, “Three-dimensional perfectly matched layer for the absorption of electromagnetic waves,” J. Comput. Phys. 127, 363-379 (1996).

[CrossRef]

P. Bouchon, F. Pardo, R. Haïdar, and J. L. Pelouard, are preparing a manuscript to be called “Reduced scattering-matrix algorithm.”

M. G. Cox, “The numerical evaluation of B-splines*,” IMA J. Appl. Math. 10, 134-149 (1972).

[CrossRef]

C. De Boor, “On calculating with B-splines,” J. Approx. Theory 6, 50-62 (1972).

[CrossRef]

D. C. Skigin and R. A. Depine, “Transmission resonances of metallic compound gratings with subwavelength slits,” Phys. Rev. Lett. 95, 217402 (2005).

[CrossRef]
[PubMed]

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424, 824-830 (2003).

[CrossRef]
[PubMed]

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424, 824-830 (2003).

[CrossRef]
[PubMed]

A. V. Kabashin, P. Evans, S. Pastkovsky, W. Hendren, G. A. Wurtz, R. Atkinson, R. Pollard, V. A. Podolskiy, and A. V. Zayats, “Plasmonic nanorod metamaterials for biosensing,” Nature Mater. 8, 867-871 (2009).

[CrossRef]

E. D. Palik and G. Ghosh, Handbook of Optical Constants of Solids, (Academic, 1985).

F. Pardo, Y. Gottesman, and J. L. Pelouard, are preparing a manuscript to be called “Exact formulation of Maxwell's equations for lamellar gratings analysis,” available from fabrice.pardo@lpn.cnrs.fr.

P. Bouchon, F. Pardo, R. Haïdar, and J. L. Pelouard, are preparing a manuscript to be called “Reduced scattering-matrix algorithm.”

A. V. Kabashin, P. Evans, S. Pastkovsky, W. Hendren, G. A. Wurtz, R. Atkinson, R. Pollard, V. A. Podolskiy, and A. V. Zayats, “Plasmonic nanorod metamaterials for biosensing,” Nature Mater. 8, 867-871 (2009).

[CrossRef]

A. V. Kabashin, P. Evans, S. Pastkovsky, W. Hendren, G. A. Wurtz, R. Atkinson, R. Pollard, V. A. Podolskiy, and A. V. Zayats, “Plasmonic nanorod metamaterials for biosensing,” Nature Mater. 8, 867-871 (2009).

[CrossRef]

R. B. Lehoucq, D. C. Sorensen, and C. Yang, ARPACK Users' Guide: Solution of Large-Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods (SIAM, 1998).

H. Liu and P. Lalanne, “Microscopic theory of the extraordinary optical transmission,” Nature 452, 728-731(2008).

[CrossRef]
[PubMed]

E. D. Palik and G. Ghosh, Handbook of Optical Constants of Solids, (Academic, 1985).

F. Pardo, Y. Gottesman, and J. L. Pelouard, are preparing a manuscript to be called “Exact formulation of Maxwell's equations for lamellar gratings analysis,” available from fabrice.pardo@lpn.cnrs.fr.

P. Bouchon, F. Pardo, R. Haïdar, and J. L. Pelouard, are preparing a manuscript to be called “Reduced scattering-matrix algorithm.”

A. V. Kabashin, P. Evans, S. Pastkovsky, W. Hendren, G. A. Wurtz, R. Atkinson, R. Pollard, V. A. Podolskiy, and A. V. Zayats, “Plasmonic nanorod metamaterials for biosensing,” Nature Mater. 8, 867-871 (2009).

[CrossRef]

G. Vincent, R. Haidar, S. Collin, N. Guérineau, J. Primot, E. Cambril, and J. L. Pelouard, “Realization of sinusoidal transmittance with subwavelength metallic structures,” J. Opt. Soc. Am. B 25, 834-840 (2008).

[CrossRef]

F. Pardo, Y. Gottesman, and J. L. Pelouard, are preparing a manuscript to be called “Exact formulation of Maxwell's equations for lamellar gratings analysis,” available from fabrice.pardo@lpn.cnrs.fr.

P. Bouchon, F. Pardo, R. Haïdar, and J. L. Pelouard, are preparing a manuscript to be called “Reduced scattering-matrix algorithm.”

A. V. Kabashin, P. Evans, S. Pastkovsky, W. Hendren, G. A. Wurtz, R. Atkinson, R. Pollard, V. A. Podolskiy, and A. V. Zayats, “Plasmonic nanorod metamaterials for biosensing,” Nature Mater. 8, 867-871 (2009).

[CrossRef]

A. V. Kabashin, P. Evans, S. Pastkovsky, W. Hendren, G. A. Wurtz, R. Atkinson, R. Pollard, V. A. Podolskiy, and A. V. Zayats, “Plasmonic nanorod metamaterials for biosensing,” Nature Mater. 8, 867-871 (2009).

[CrossRef]

I. J. Schoenberg, “Contributions to the problem of approximation of equidistant data by analytic functions. On the problem of osculatory interpolation. A second class of analytic approximation formulae,” Q. Appl. Math. 4, 112-141 (1946).

I. J. Schoenberg, “Contributions to the problem of approximation of equidistant data by analytic functions. On the problem of smoothing or graduation. A first class of analytic approximation formulae,” Q. Appl. Math. 4, 45-99 (1946).

D. C. Skigin and R. A. Depine, “Transmission resonances of metallic compound gratings with subwavelength slits,” Phys. Rev. Lett. 95, 217402 (2005).

[CrossRef]
[PubMed]

R. B. Lehoucq, D. C. Sorensen, and C. Yang, ARPACK Users' Guide: Solution of Large-Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods (SIAM, 1998).

A. Taflove and K. R. Umashankar, “The finite-difference time-domain method for numerical modeling of electromagnetic wave interactions,” Electromagnetics 10, 105-126 (1990).

[CrossRef]

A. Taflove and K. R. Umashankar, “The finite-difference time-domain method for numerical modeling of electromagnetic wave interactions,” Electromagnetics 10, 105-126 (1990).

[CrossRef]

A. V. Kabashin, P. Evans, S. Pastkovsky, W. Hendren, G. A. Wurtz, R. Atkinson, R. Pollard, V. A. Podolskiy, and A. V. Zayats, “Plasmonic nanorod metamaterials for biosensing,” Nature Mater. 8, 867-871 (2009).

[CrossRef]

R. B. Lehoucq, D. C. Sorensen, and C. Yang, ARPACK Users' Guide: Solution of Large-Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods (SIAM, 1998).

K. Yee, “Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media,” IEEE Trans. Antennas Propag. 14, 302-307 (1966).

[CrossRef]

A. V. Kabashin, P. Evans, S. Pastkovsky, W. Hendren, G. A. Wurtz, R. Atkinson, R. Pollard, V. A. Podolskiy, and A. V. Zayats, “Plasmonic nanorod metamaterials for biosensing,” Nature Mater. 8, 867-871 (2009).

[CrossRef]

A. Taflove and K. R. Umashankar, “The finite-difference time-domain method for numerical modeling of electromagnetic wave interactions,” Electromagnetics 10, 105-126 (1990).

[CrossRef]

K. Yee, “Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media,” IEEE Trans. Antennas Propag. 14, 302-307 (1966).

[CrossRef]

M. G. Cox, “The numerical evaluation of B-splines*,” IMA J. Appl. Math. 10, 134-149 (1972).

[CrossRef]

C. De Boor, “On calculating with B-splines,” J. Approx. Theory 6, 50-62 (1972).

[CrossRef]

J. P. Berenger, “Three-dimensional perfectly matched layer for the absorption of electromagnetic waves,” J. Comput. Phys. 127, 363-379 (1996).

[CrossRef]

P. Lalanne and J. P. Hugonin, “Numerical performance of finite-difference modal methods for the electromagnetic analysis of one-dimensional lamellar gratings,” J. Opt. Soc. Am. A 17, 1033-1042 (2000).

[CrossRef]

D. Y. K. Ko and J. R. Sambles, “Scattering matrix method for propagation of radiation in stratified media: attenuated total reflection studies of liquid crystals,” J. Opt. Soc. Am. A 5, 1863-1866 (1988).

[CrossRef]

L. Li and C. W. Haggans, “Convergence of the coupled-wave method for metallic lamellar diffraction gratings,” J. Opt. Soc. Am. A 10, 1184-1189 (1993).

[CrossRef]

P. Lalanne and G. M. Morris, “Highly improved convergence of the coupled-wave method for TM polarization,” J. Opt. Soc. Am. A 13, 779-784 (1996).

[CrossRef]

X. Wei, A. J. Wachters, and H. P. Urbach, “Finite-element model for three-dimensional optical scattering problems,” J. Opt. Soc. Am. A 24, 866-881 (2007).

[CrossRef]

H. Liu and P. Lalanne, “Microscopic theory of the extraordinary optical transmission,” Nature 452, 728-731(2008).

[CrossRef]
[PubMed]

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424, 824-830 (2003).

[CrossRef]
[PubMed]

A. V. Kabashin, P. Evans, S. Pastkovsky, W. Hendren, G. A. Wurtz, R. Atkinson, R. Pollard, V. A. Podolskiy, and A. V. Zayats, “Plasmonic nanorod metamaterials for biosensing,” Nature Mater. 8, 867-871 (2009).

[CrossRef]

D. C. Skigin and R. A. Depine, “Transmission resonances of metallic compound gratings with subwavelength slits,” Phys. Rev. Lett. 95, 217402 (2005).

[CrossRef]
[PubMed]

I. J. Schoenberg, “Contributions to the problem of approximation of equidistant data by analytic functions. On the problem of smoothing or graduation. A first class of analytic approximation formulae,” Q. Appl. Math. 4, 45-99 (1946).

I. J. Schoenberg, “Contributions to the problem of approximation of equidistant data by analytic functions. On the problem of osculatory interpolation. A second class of analytic approximation formulae,” Q. Appl. Math. 4, 112-141 (1946).

F. Pardo, Y. Gottesman, and J. L. Pelouard, are preparing a manuscript to be called “Exact formulation of Maxwell's equations for lamellar gratings analysis,” available from fabrice.pardo@lpn.cnrs.fr.

We solve the full eigenequation with the function eig of LAPACK for all the previous results.

P. Bouchon, F. Pardo, R. Haïdar, and J. L. Pelouard, are preparing a manuscript to be called “Reduced scattering-matrix algorithm.”

R. B. Lehoucq, D. C. Sorensen, and C. Yang, ARPACK Users' Guide: Solution of Large-Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods (SIAM, 1998).

E. D. Palik and G. Ghosh, Handbook of Optical Constants of Solids, (Academic, 1985).