P. J. Chiang, C. P. Yu, and H. C. Chang, "Analysis of two-dimensional photonic crystals using a multidomain pseudospectral method," Phys. Rev. E 75, 026703 (2007).

[CrossRef]

Y. X. Huang and Y. Y. Lu, "Modeling photonic crystals with complex unit cells by Dirichlet-to-Neumann maps," J. Comput. Math. 25, 337-349 (2007).

S. J. Li and Y. Y. Lu, "Multipole Dirichlet-to-Neumann map method for photonic crystals with complex unit cells," J. Opt. Soc. Am. A 24, 2438-2442 (2007).

[CrossRef]

J. H. Yuan and Y. Y. Lu, "Computing photonic band structures by Dirichlet-to-Neumann maps: the triangular lattice," Opt. Commun. 273, 114-120 (2007).

[CrossRef]

Y. X. Huang and Y. Y. Lu, "Scattering from periodic arrays of cylinders by Dirichlet-to-Neumann maps," J. Lightwave Technol. 24, 3448-3453 (2006).

[CrossRef]

J. H. Yuan and Y. Y. Lu, "Photonic bandgap calculations using Dirichlet-to-Neumann maps," J. Opt. Soc. Am. A 23, 3217-3222 (2006).

[CrossRef]

K. Dossou, M. A. Byrne, and L. C. Botten, "Finite element computation of grating scattering matrices and application to photonic crystal band calculations," J. Comput. Phys. 219, 120-143 (2006).

[CrossRef]

P. Joly, J.-R. Li, and S. Fliss, "Exact boundary conditions for periodic waveguides containing a local perturbation," Comm. Comp. Phys. 1, 945-973 (2006).

X. Checoury and J. M. Lourtioz, "Wavelet method for computing band diagrams of 2D photonic crystals," Opt. Commun. 259, 360-365 (2006).

[CrossRef]

A. David, H. Benisty, and C. Weisbuch, "Fast factorization rule and plane-wave expansion method for two-dimensional photonic crystals with arbitrary hole-shape," Phys. Rev. B 73, 075107 (2006).

[CrossRef]

K. Yasumoto, H. Jia, and K. Sun, "Rigorous modal analysis of two-dimensional photonic crystal waveguides," Radio Sci. 40, RS6S02 (2005).

[CrossRef]

H. Jia and K. Yasumoto, "Rigorous analysis of guidedmodes of two-dimensional metallic electromagnetic crystal waveguides," J. Electromagn. Waves Appl. 19, 1919-1933 (2005).

[CrossRef]

S. Y. Shi, C. H. Chen, and D. W. Prather, "Revised plane wave method for dispersive material and its application to band structure calculations of photonic crystal slabs," Appl. Phys. Lett. 86, 43104 (2005).

[CrossRef]

C. P. Yu and H. C. Chang, "Compact finite-difference frequency-domain method for the analysis of two-dimensional photonic crystals," Opt. Express 12, 1397-1408 (2004).

[CrossRef]
[PubMed]

S. Guo, F. Wu, S. Albin, and R. S. Rogowski, "Photonic band gap analysis using finite-difference frequency-domain method," Opt. Express 12, 1741-1746 (2004).

[CrossRef]
[PubMed]

S. F. Helfert, "Numerical stable determination of Floquet modes and the application to the computation of band structures," Opt. Quantum Electron. 36, 87-107 (2004).

[CrossRef]

C. P. Yu and H. C. Chang, "Applications of the finite difference mode solution method to photonic crystal structures," Opt. Quantum Electron. 36, 145-163 (2004).

[CrossRef]

R. Zoli, M. Gnan, D. Castaldini, G. Bellanca, and P. Bassi, "Reformulation of the plane wave method to model photonic crystals," Opt. Express 11, 2905-2910 (2003).

[CrossRef]
[PubMed]

S. Jun, Y. S. Cho, and S. Im, "Moving least-square method for the band-structure calculation of 2D photonic crystals," Opt. Express 11, 541-551 (2003).

[CrossRef]
[PubMed]

E. Moreno, D. Erni, and C. Hafner, "Band structure computations of metallic photonic crystals with the multiple multipole method," Phys. Rev. B 65, 155120 (2002).

[CrossRef]

M. Marrone, V. F. Rodriguez-Esquerre, and H. E. Hernández-Figueroa, "Novel numerical method for the analysis of 2D photonic crystals: the cell method," Opt. Express 10, 1299-1304 (2002).

[PubMed]

J. Tausch and J. Butler, "Efficient analysis of periodic dielectric waveguides using Dirichlet-to-Neumann maps," J. Opt. Soc. Am. A 19, 1120-1128 (2002).

[CrossRef]

L. C. Botten, N. A. Nicorovici, R. C. McPhedran, C. M. de Sterke, and A. A. Asatryan, "Photonic band structure calculations using scattering matrices," Phys. Rev. E 64, 046603 (2001).

[CrossRef]

S. G. Johnson and J. D. Joannopoulos, "Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis," Opt. Express 8, 173-190 (2001).

[CrossRef]
[PubMed]

M. Qiu and S. L. He, "Guided modes in a two-dimensional metallic photonic crystal waveguide," Phys. Lett. A 266, 425-429 (2000).

[CrossRef]

A. Adibi, Y. Xu, R. K. Lee, A. Yariv, and A. Scherer, "Properties of the slab modes in photonic crystal optical waveguides," J. Lightwave Technol. 18, 1554-1564 (2000).

[CrossRef]

J. Tausch and J. Butler, "Floquet multipliers of periodic waveguides via Dirichlet-to-Neumann maps," J. Comput. Phys. 159, 90-102 (2000).

[CrossRef]

D. C. Dobson, "An efficient method for band structure calculations in 2D photonis crystals," J. Comput. Phys. 149, 363-379 (1999).

[CrossRef]

W. Axmann and P. Kuchment, "An efficient finite element method for computing spectra of photonic and acoustic band-gap materials: I. Scalar case," J. Comput. Phys. 150, 468-481 (1999).

[CrossRef]

K. Sakoda, T. Ueta, and K. Ohtaka, "Numerical analysis of eigenmodes localized at line defects in photonic lattices," Phys. Rev. B 56, 14905-14908 (1997).

[CrossRef]

A. Mekis, J. C. Chen, I. Kurland, S. H. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "High transmission through sharp bends in photonic crystal waveguides," Phys. Rev. Lett. 77, 3787-3790 (1996).

[CrossRef]
[PubMed]

H. Benisty, "Modal analysis of optical guides with two-dimensional photonic band-gap boundaries," J. Appl. Phys. 79, 7483-7492 (1996).

[CrossRef]

H. Y. D. Yang, "Finite difference analysis of 2-D photonic crystals," IEEE Trans. Microwave Theory Tech. 44, 2688-2695 (1996).

[CrossRef]

J. B. Pendry, "Calculating photonic band structure," J. Phys. Condens. Matter 8, 1085-1108 (1996).

[CrossRef]

M. J. Grote and J. B. Keller, "On nonreflecting boundary conditions," J. Comput. Phys. 122, 231-243 (1995).

[CrossRef]

R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, "Accurate theoretical analysis of photonic band-gap materials," Phys. Rev. B 48, 8434-8437 (1993).

[CrossRef]

E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).

[CrossRef]
[PubMed]

S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987).

[CrossRef]
[PubMed]

R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, "Accurate theoretical analysis of photonic band-gap materials," Phys. Rev. B 48, 8434-8437 (1993).

[CrossRef]

L. C. Botten, N. A. Nicorovici, R. C. McPhedran, C. M. de Sterke, and A. A. Asatryan, "Photonic band structure calculations using scattering matrices," Phys. Rev. E 64, 046603 (2001).

[CrossRef]

W. Axmann and P. Kuchment, "An efficient finite element method for computing spectra of photonic and acoustic band-gap materials: I. Scalar case," J. Comput. Phys. 150, 468-481 (1999).

[CrossRef]

A. David, H. Benisty, and C. Weisbuch, "Fast factorization rule and plane-wave expansion method for two-dimensional photonic crystals with arbitrary hole-shape," Phys. Rev. B 73, 075107 (2006).

[CrossRef]

H. Benisty, "Modal analysis of optical guides with two-dimensional photonic band-gap boundaries," J. Appl. Phys. 79, 7483-7492 (1996).

[CrossRef]

K. Dossou, M. A. Byrne, and L. C. Botten, "Finite element computation of grating scattering matrices and application to photonic crystal band calculations," J. Comput. Phys. 219, 120-143 (2006).

[CrossRef]

L. C. Botten, N. A. Nicorovici, R. C. McPhedran, C. M. de Sterke, and A. A. Asatryan, "Photonic band structure calculations using scattering matrices," Phys. Rev. E 64, 046603 (2001).

[CrossRef]

R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, "Accurate theoretical analysis of photonic band-gap materials," Phys. Rev. B 48, 8434-8437 (1993).

[CrossRef]

K. Dossou, M. A. Byrne, and L. C. Botten, "Finite element computation of grating scattering matrices and application to photonic crystal band calculations," J. Comput. Phys. 219, 120-143 (2006).

[CrossRef]

P. J. Chiang, C. P. Yu, and H. C. Chang, "Analysis of two-dimensional photonic crystals using a multidomain pseudospectral method," Phys. Rev. E 75, 026703 (2007).

[CrossRef]

C. P. Yu and H. C. Chang, "Applications of the finite difference mode solution method to photonic crystal structures," Opt. Quantum Electron. 36, 145-163 (2004).

[CrossRef]

C. P. Yu and H. C. Chang, "Compact finite-difference frequency-domain method for the analysis of two-dimensional photonic crystals," Opt. Express 12, 1397-1408 (2004).

[CrossRef]
[PubMed]

X. Checoury and J. M. Lourtioz, "Wavelet method for computing band diagrams of 2D photonic crystals," Opt. Commun. 259, 360-365 (2006).

[CrossRef]

S. Y. Shi, C. H. Chen, and D. W. Prather, "Revised plane wave method for dispersive material and its application to band structure calculations of photonic crystal slabs," Appl. Phys. Lett. 86, 43104 (2005).

[CrossRef]

A. Mekis, J. C. Chen, I. Kurland, S. H. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "High transmission through sharp bends in photonic crystal waveguides," Phys. Rev. Lett. 77, 3787-3790 (1996).

[CrossRef]
[PubMed]

P. J. Chiang, C. P. Yu, and H. C. Chang, "Analysis of two-dimensional photonic crystals using a multidomain pseudospectral method," Phys. Rev. E 75, 026703 (2007).

[CrossRef]

A. David, H. Benisty, and C. Weisbuch, "Fast factorization rule and plane-wave expansion method for two-dimensional photonic crystals with arbitrary hole-shape," Phys. Rev. B 73, 075107 (2006).

[CrossRef]

L. C. Botten, N. A. Nicorovici, R. C. McPhedran, C. M. de Sterke, and A. A. Asatryan, "Photonic band structure calculations using scattering matrices," Phys. Rev. E 64, 046603 (2001).

[CrossRef]

D. C. Dobson, "An efficient method for band structure calculations in 2D photonis crystals," J. Comput. Phys. 149, 363-379 (1999).

[CrossRef]

K. Dossou, M. A. Byrne, and L. C. Botten, "Finite element computation of grating scattering matrices and application to photonic crystal band calculations," J. Comput. Phys. 219, 120-143 (2006).

[CrossRef]

E. Moreno, D. Erni, and C. Hafner, "Band structure computations of metallic photonic crystals with the multiple multipole method," Phys. Rev. B 65, 155120 (2002).

[CrossRef]

A. Mekis, J. C. Chen, I. Kurland, S. H. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "High transmission through sharp bends in photonic crystal waveguides," Phys. Rev. Lett. 77, 3787-3790 (1996).

[CrossRef]
[PubMed]

P. Joly, J.-R. Li, and S. Fliss, "Exact boundary conditions for periodic waveguides containing a local perturbation," Comm. Comp. Phys. 1, 945-973 (2006).

M. J. Grote and J. B. Keller, "On nonreflecting boundary conditions," J. Comput. Phys. 122, 231-243 (1995).

[CrossRef]

E. Moreno, D. Erni, and C. Hafner, "Band structure computations of metallic photonic crystals with the multiple multipole method," Phys. Rev. B 65, 155120 (2002).

[CrossRef]

M. Qiu and S. L. He, "Guided modes in a two-dimensional metallic photonic crystal waveguide," Phys. Lett. A 266, 425-429 (2000).

[CrossRef]

S. F. Helfert, "Numerical stable determination of Floquet modes and the application to the computation of band structures," Opt. Quantum Electron. 36, 87-107 (2004).

[CrossRef]

K. Yasumoto, H. Jia, and K. Sun, "Rigorous modal analysis of two-dimensional photonic crystal waveguides," Radio Sci. 40, RS6S02 (2005).

[CrossRef]

H. Jia and K. Yasumoto, "Rigorous analysis of guidedmodes of two-dimensional metallic electromagnetic crystal waveguides," J. Electromagn. Waves Appl. 19, 1919-1933 (2005).

[CrossRef]

S. G. Johnson and J. D. Joannopoulos, "Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis," Opt. Express 8, 173-190 (2001).

[CrossRef]
[PubMed]

A. Mekis, J. C. Chen, I. Kurland, S. H. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "High transmission through sharp bends in photonic crystal waveguides," Phys. Rev. Lett. 77, 3787-3790 (1996).

[CrossRef]
[PubMed]

R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, "Accurate theoretical analysis of photonic band-gap materials," Phys. Rev. B 48, 8434-8437 (1993).

[CrossRef]

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton U. Press, 1995).

S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987).

[CrossRef]
[PubMed]

P. Joly, J.-R. Li, and S. Fliss, "Exact boundary conditions for periodic waveguides containing a local perturbation," Comm. Comp. Phys. 1, 945-973 (2006).

M. J. Grote and J. B. Keller, "On nonreflecting boundary conditions," J. Comput. Phys. 122, 231-243 (1995).

[CrossRef]

W. Axmann and P. Kuchment, "An efficient finite element method for computing spectra of photonic and acoustic band-gap materials: I. Scalar case," J. Comput. Phys. 150, 468-481 (1999).

[CrossRef]

A. Mekis, J. C. Chen, I. Kurland, S. H. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "High transmission through sharp bends in photonic crystal waveguides," Phys. Rev. Lett. 77, 3787-3790 (1996).

[CrossRef]
[PubMed]

P. Joly, J.-R. Li, and S. Fliss, "Exact boundary conditions for periodic waveguides containing a local perturbation," Comm. Comp. Phys. 1, 945-973 (2006).

X. Checoury and J. M. Lourtioz, "Wavelet method for computing band diagrams of 2D photonic crystals," Opt. Commun. 259, 360-365 (2006).

[CrossRef]

Y. X. Huang and Y. Y. Lu, "Modeling photonic crystals with complex unit cells by Dirichlet-to-Neumann maps," J. Comput. Math. 25, 337-349 (2007).

J. H. Yuan and Y. Y. Lu, "Computing photonic band structures by Dirichlet-to-Neumann maps: the triangular lattice," Opt. Commun. 273, 114-120 (2007).

[CrossRef]

S. J. Li and Y. Y. Lu, "Multipole Dirichlet-to-Neumann map method for photonic crystals with complex unit cells," J. Opt. Soc. Am. A 24, 2438-2442 (2007).

[CrossRef]

J. H. Yuan and Y. Y. Lu, "Photonic bandgap calculations using Dirichlet-to-Neumann maps," J. Opt. Soc. Am. A 23, 3217-3222 (2006).

[CrossRef]

Y. X. Huang and Y. Y. Lu, "Scattering from periodic arrays of cylinders by Dirichlet-to-Neumann maps," J. Lightwave Technol. 24, 3448-3453 (2006).

[CrossRef]

L. C. Botten, N. A. Nicorovici, R. C. McPhedran, C. M. de Sterke, and A. A. Asatryan, "Photonic band structure calculations using scattering matrices," Phys. Rev. E 64, 046603 (2001).

[CrossRef]

R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, "Accurate theoretical analysis of photonic band-gap materials," Phys. Rev. B 48, 8434-8437 (1993).

[CrossRef]

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton U. Press, 1995).

A. Mekis, J. C. Chen, I. Kurland, S. H. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "High transmission through sharp bends in photonic crystal waveguides," Phys. Rev. Lett. 77, 3787-3790 (1996).

[CrossRef]
[PubMed]

E. Moreno, D. Erni, and C. Hafner, "Band structure computations of metallic photonic crystals with the multiple multipole method," Phys. Rev. B 65, 155120 (2002).

[CrossRef]

L. C. Botten, N. A. Nicorovici, R. C. McPhedran, C. M. de Sterke, and A. A. Asatryan, "Photonic band structure calculations using scattering matrices," Phys. Rev. E 64, 046603 (2001).

[CrossRef]

K. Sakoda, T. Ueta, and K. Ohtaka, "Numerical analysis of eigenmodes localized at line defects in photonic lattices," Phys. Rev. B 56, 14905-14908 (1997).

[CrossRef]

J. B. Pendry, "Calculating photonic band structure," J. Phys. Condens. Matter 8, 1085-1108 (1996).

[CrossRef]

S. Y. Shi, C. H. Chen, and D. W. Prather, "Revised plane wave method for dispersive material and its application to band structure calculations of photonic crystal slabs," Appl. Phys. Lett. 86, 43104 (2005).

[CrossRef]

M. Qiu and S. L. He, "Guided modes in a two-dimensional metallic photonic crystal waveguide," Phys. Lett. A 266, 425-429 (2000).

[CrossRef]

R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, "Accurate theoretical analysis of photonic band-gap materials," Phys. Rev. B 48, 8434-8437 (1993).

[CrossRef]

K. Sakoda, T. Ueta, and K. Ohtaka, "Numerical analysis of eigenmodes localized at line defects in photonic lattices," Phys. Rev. B 56, 14905-14908 (1997).

[CrossRef]

S. Y. Shi, C. H. Chen, and D. W. Prather, "Revised plane wave method for dispersive material and its application to band structure calculations of photonic crystal slabs," Appl. Phys. Lett. 86, 43104 (2005).

[CrossRef]

K. Yasumoto, H. Jia, and K. Sun, "Rigorous modal analysis of two-dimensional photonic crystal waveguides," Radio Sci. 40, RS6S02 (2005).

[CrossRef]

K. Sakoda, T. Ueta, and K. Ohtaka, "Numerical analysis of eigenmodes localized at line defects in photonic lattices," Phys. Rev. B 56, 14905-14908 (1997).

[CrossRef]

A. Mekis, J. C. Chen, I. Kurland, S. H. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "High transmission through sharp bends in photonic crystal waveguides," Phys. Rev. Lett. 77, 3787-3790 (1996).

[CrossRef]
[PubMed]

A. David, H. Benisty, and C. Weisbuch, "Fast factorization rule and plane-wave expansion method for two-dimensional photonic crystals with arbitrary hole-shape," Phys. Rev. B 73, 075107 (2006).

[CrossRef]

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton U. Press, 1995).

E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).

[CrossRef]
[PubMed]

H. Y. D. Yang, "Finite difference analysis of 2-D photonic crystals," IEEE Trans. Microwave Theory Tech. 44, 2688-2695 (1996).

[CrossRef]

H. Jia and K. Yasumoto, "Rigorous analysis of guidedmodes of two-dimensional metallic electromagnetic crystal waveguides," J. Electromagn. Waves Appl. 19, 1919-1933 (2005).

[CrossRef]

K. Yasumoto, H. Jia, and K. Sun, "Rigorous modal analysis of two-dimensional photonic crystal waveguides," Radio Sci. 40, RS6S02 (2005).

[CrossRef]

P. J. Chiang, C. P. Yu, and H. C. Chang, "Analysis of two-dimensional photonic crystals using a multidomain pseudospectral method," Phys. Rev. E 75, 026703 (2007).

[CrossRef]

C. P. Yu and H. C. Chang, "Applications of the finite difference mode solution method to photonic crystal structures," Opt. Quantum Electron. 36, 145-163 (2004).

[CrossRef]

C. P. Yu and H. C. Chang, "Compact finite-difference frequency-domain method for the analysis of two-dimensional photonic crystals," Opt. Express 12, 1397-1408 (2004).

[CrossRef]
[PubMed]

S. Y. Shi, C. H. Chen, and D. W. Prather, "Revised plane wave method for dispersive material and its application to band structure calculations of photonic crystal slabs," Appl. Phys. Lett. 86, 43104 (2005).

[CrossRef]

P. Joly, J.-R. Li, and S. Fliss, "Exact boundary conditions for periodic waveguides containing a local perturbation," Comm. Comp. Phys. 1, 945-973 (2006).

H. Y. D. Yang, "Finite difference analysis of 2-D photonic crystals," IEEE Trans. Microwave Theory Tech. 44, 2688-2695 (1996).

[CrossRef]

H. Benisty, "Modal analysis of optical guides with two-dimensional photonic band-gap boundaries," J. Appl. Phys. 79, 7483-7492 (1996).

[CrossRef]

Y. X. Huang and Y. Y. Lu, "Modeling photonic crystals with complex unit cells by Dirichlet-to-Neumann maps," J. Comput. Math. 25, 337-349 (2007).

D. C. Dobson, "An efficient method for band structure calculations in 2D photonis crystals," J. Comput. Phys. 149, 363-379 (1999).

[CrossRef]

W. Axmann and P. Kuchment, "An efficient finite element method for computing spectra of photonic and acoustic band-gap materials: I. Scalar case," J. Comput. Phys. 150, 468-481 (1999).

[CrossRef]

M. J. Grote and J. B. Keller, "On nonreflecting boundary conditions," J. Comput. Phys. 122, 231-243 (1995).

[CrossRef]

J. Tausch and J. Butler, "Floquet multipliers of periodic waveguides via Dirichlet-to-Neumann maps," J. Comput. Phys. 159, 90-102 (2000).

[CrossRef]

K. Dossou, M. A. Byrne, and L. C. Botten, "Finite element computation of grating scattering matrices and application to photonic crystal band calculations," J. Comput. Phys. 219, 120-143 (2006).

[CrossRef]

H. Jia and K. Yasumoto, "Rigorous analysis of guidedmodes of two-dimensional metallic electromagnetic crystal waveguides," J. Electromagn. Waves Appl. 19, 1919-1933 (2005).

[CrossRef]

Y. X. Huang and Y. Y. Lu, "Scattering from periodic arrays of cylinders by Dirichlet-to-Neumann maps," J. Lightwave Technol. 24, 3448-3453 (2006).

[CrossRef]

A. Adibi, Y. Xu, R. K. Lee, A. Yariv, and A. Scherer, "Properties of the slab modes in photonic crystal optical waveguides," J. Lightwave Technol. 18, 1554-1564 (2000).

[CrossRef]

J. B. Pendry, "Calculating photonic band structure," J. Phys. Condens. Matter 8, 1085-1108 (1996).

[CrossRef]

X. Checoury and J. M. Lourtioz, "Wavelet method for computing band diagrams of 2D photonic crystals," Opt. Commun. 259, 360-365 (2006).

[CrossRef]

J. H. Yuan and Y. Y. Lu, "Computing photonic band structures by Dirichlet-to-Neumann maps: the triangular lattice," Opt. Commun. 273, 114-120 (2007).

[CrossRef]

R. Zoli, M. Gnan, D. Castaldini, G. Bellanca, and P. Bassi, "Reformulation of the plane wave method to model photonic crystals," Opt. Express 11, 2905-2910 (2003).

[CrossRef]
[PubMed]

S. G. Johnson and J. D. Joannopoulos, "Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis," Opt. Express 8, 173-190 (2001).

[CrossRef]
[PubMed]

M. Marrone, V. F. Rodriguez-Esquerre, and H. E. Hernández-Figueroa, "Novel numerical method for the analysis of 2D photonic crystals: the cell method," Opt. Express 10, 1299-1304 (2002).

[PubMed]

S. Jun, Y. S. Cho, and S. Im, "Moving least-square method for the band-structure calculation of 2D photonic crystals," Opt. Express 11, 541-551 (2003).

[CrossRef]
[PubMed]

C. P. Yu and H. C. Chang, "Compact finite-difference frequency-domain method for the analysis of two-dimensional photonic crystals," Opt. Express 12, 1397-1408 (2004).

[CrossRef]
[PubMed]

S. Guo, F. Wu, S. Albin, and R. S. Rogowski, "Photonic band gap analysis using finite-difference frequency-domain method," Opt. Express 12, 1741-1746 (2004).

[CrossRef]
[PubMed]

C. P. Yu and H. C. Chang, "Applications of the finite difference mode solution method to photonic crystal structures," Opt. Quantum Electron. 36, 145-163 (2004).

[CrossRef]

S. F. Helfert, "Numerical stable determination of Floquet modes and the application to the computation of band structures," Opt. Quantum Electron. 36, 87-107 (2004).

[CrossRef]

M. Qiu and S. L. He, "Guided modes in a two-dimensional metallic photonic crystal waveguide," Phys. Lett. A 266, 425-429 (2000).

[CrossRef]

A. David, H. Benisty, and C. Weisbuch, "Fast factorization rule and plane-wave expansion method for two-dimensional photonic crystals with arbitrary hole-shape," Phys. Rev. B 73, 075107 (2006).

[CrossRef]

K. Sakoda, T. Ueta, and K. Ohtaka, "Numerical analysis of eigenmodes localized at line defects in photonic lattices," Phys. Rev. B 56, 14905-14908 (1997).

[CrossRef]

E. Moreno, D. Erni, and C. Hafner, "Band structure computations of metallic photonic crystals with the multiple multipole method," Phys. Rev. B 65, 155120 (2002).

[CrossRef]

R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, "Accurate theoretical analysis of photonic band-gap materials," Phys. Rev. B 48, 8434-8437 (1993).

[CrossRef]

P. J. Chiang, C. P. Yu, and H. C. Chang, "Analysis of two-dimensional photonic crystals using a multidomain pseudospectral method," Phys. Rev. E 75, 026703 (2007).

[CrossRef]

L. C. Botten, N. A. Nicorovici, R. C. McPhedran, C. M. de Sterke, and A. A. Asatryan, "Photonic band structure calculations using scattering matrices," Phys. Rev. E 64, 046603 (2001).

[CrossRef]

A. Mekis, J. C. Chen, I. Kurland, S. H. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "High transmission through sharp bends in photonic crystal waveguides," Phys. Rev. Lett. 77, 3787-3790 (1996).

[CrossRef]
[PubMed]

E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).

[CrossRef]
[PubMed]

S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987).

[CrossRef]
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