Y. X. Huang and Y. Y. Lu, "Modeling photonic crystals with complex unit cells by Dirichlet-to-Neumann maps," J. Comput. Math. 25, 227-349 (2007).

H. Altug and J. Vuckovic, "Two-dimensional coupled photonic crystal resonator arrays," Appl. Phys. Lett. 84, 161-163 (2004).

[CrossRef]

K. Amemiya and K. Ohtaka, "Calculation of transmittance of light for an array of dielectric rods using vector cylindrical waves: complex unit cells," J. Phys. Soc. Jpn. 72, 1244-1253 (2003).

[CrossRef]

T. Kushta and K. Yasumoto, "Electromagnetic scattering from periodic arrays of two circular cylinders per unit cell," Prog. Electromagn. Res. 29, 69-85 (2000).

[CrossRef]

S. Venakides, M. A. Haider, and V. Papanicolaou, "Boundary integral calculations of two-dimensional electromagnetic scattering by photonic crystal Fabry-Perot structures," SIAM J. Appl. Math. 60, 1686-1706 (2000).

[CrossRef]

R. C. McPhedran, L. C. Botten, A. A. Asatryan, N. A. Nicorovici, P. A. Robinson, and C. M. de Sterke, "Calculation of electromagnetic properties of regular and random arrays of metallic and dielectric cylinders," Phys. Rev. E 60, 7614-7617 (1999).

[CrossRef]

S. J. Cox and D. C. Dobson, "Maximizing band gaps in two-dimensional photonic crystals," SIAM J. Appl. Math. 59, 2108-2120 (1999).

[CrossRef]

H. Altug and J. Vuckovic, "Two-dimensional coupled photonic crystal resonator arrays," Appl. Phys. Lett. 84, 161-163 (2004).

[CrossRef]

K. Amemiya and K. Ohtaka, "Calculation of transmittance of light for an array of dielectric rods using vector cylindrical waves: complex unit cells," J. Phys. Soc. Jpn. 72, 1244-1253 (2003).

[CrossRef]

J. H. Yuan, Y. Y. Lu, and X. Antoine, "Modeling photonic crystals by boundary integral equations and Dirichlet-to-Neumann maps," submitted to J. Comput. Phys.

R. C. McPhedran, L. C. Botten, A. A. Asatryan, N. A. Nicorovici, P. A. Robinson, and C. M. de Sterke, "Calculation of electromagnetic properties of regular and random arrays of metallic and dielectric cylinders," Phys. Rev. E 60, 7614-7617 (1999).

[CrossRef]

R. C. McPhedran, L. C. Botten, A. A. Asatryan, N. A. Nicorovici, P. A. Robinson, and C. M. de Sterke, "Calculation of electromagnetic properties of regular and random arrays of metallic and dielectric cylinders," Phys. Rev. E 60, 7614-7617 (1999).

[CrossRef]

S. J. Cox and D. C. Dobson, "Maximizing band gaps in two-dimensional photonic crystals," SIAM J. Appl. Math. 59, 2108-2120 (1999).

[CrossRef]

R. C. McPhedran, L. C. Botten, A. A. Asatryan, N. A. Nicorovici, P. A. Robinson, and C. M. de Sterke, "Calculation of electromagnetic properties of regular and random arrays of metallic and dielectric cylinders," Phys. Rev. E 60, 7614-7617 (1999).

[CrossRef]

S. J. Cox and D. C. Dobson, "Maximizing band gaps in two-dimensional photonic crystals," SIAM J. Appl. Math. 59, 2108-2120 (1999).

[CrossRef]

S. Venakides, M. A. Haider, and V. Papanicolaou, "Boundary integral calculations of two-dimensional electromagnetic scattering by photonic crystal Fabry-Perot structures," SIAM J. Appl. Math. 60, 1686-1706 (2000).

[CrossRef]

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

T. Kushta and K. Yasumoto, "Electromagnetic scattering from periodic arrays of two circular cylinders per unit cell," Prog. Electromagn. Res. 29, 69-85 (2000).

[CrossRef]

Y. X. Huang and Y. Y. Lu, "Modeling photonic crystals with complex unit cells by Dirichlet-to-Neumann maps," J. Comput. Math. 25, 227-349 (2007).

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]

J. H. Yuan, Y. Y. Lu, and X. Antoine, "Modeling photonic crystals by boundary integral equations and Dirichlet-to-Neumann maps," submitted to J. Comput. Phys.

R. C. McPhedran, L. C. Botten, A. A. Asatryan, N. A. Nicorovici, P. A. Robinson, and C. M. de Sterke, "Calculation of electromagnetic properties of regular and random arrays of metallic and dielectric cylinders," Phys. Rev. E 60, 7614-7617 (1999).

[CrossRef]

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

R. C. McPhedran, L. C. Botten, A. A. Asatryan, N. A. Nicorovici, P. A. Robinson, and C. M. de Sterke, "Calculation of electromagnetic properties of regular and random arrays of metallic and dielectric cylinders," Phys. Rev. E 60, 7614-7617 (1999).

[CrossRef]

K. Amemiya and K. Ohtaka, "Calculation of transmittance of light for an array of dielectric rods using vector cylindrical waves: complex unit cells," J. Phys. Soc. Jpn. 72, 1244-1253 (2003).

[CrossRef]

S. Venakides, M. A. Haider, and V. Papanicolaou, "Boundary integral calculations of two-dimensional electromagnetic scattering by photonic crystal Fabry-Perot structures," SIAM J. Appl. Math. 60, 1686-1706 (2000).

[CrossRef]

R. C. McPhedran, L. C. Botten, A. A. Asatryan, N. A. Nicorovici, P. A. Robinson, and C. M. de Sterke, "Calculation of electromagnetic properties of regular and random arrays of metallic and dielectric cylinders," Phys. Rev. E 60, 7614-7617 (1999).

[CrossRef]

S. Venakides, M. A. Haider, and V. Papanicolaou, "Boundary integral calculations of two-dimensional electromagnetic scattering by photonic crystal Fabry-Perot structures," SIAM J. Appl. Math. 60, 1686-1706 (2000).

[CrossRef]

H. Altug and J. Vuckovic, "Two-dimensional coupled photonic crystal resonator arrays," Appl. Phys. Lett. 84, 161-163 (2004).

[CrossRef]

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

T. Kushta and K. Yasumoto, "Electromagnetic scattering from periodic arrays of two circular cylinders per unit cell," Prog. Electromagn. Res. 29, 69-85 (2000).

[CrossRef]

H. Altug and J. Vuckovic, "Two-dimensional coupled photonic crystal resonator arrays," Appl. Phys. Lett. 84, 161-163 (2004).

[CrossRef]

Y. X. Huang and Y. Y. Lu, "Modeling photonic crystals with complex unit cells by Dirichlet-to-Neumann maps," J. Comput. Math. 25, 227-349 (2007).

D. Felbacq, G. Tayeb, and D. Maystre, "Scattering by a random set of parallel cylinders," J. Opt. Soc. Am. A 11, 2526-2538 (1994).

[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]

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]

L. Li, "Formulation and comparison of two recursive matrix algorithms for modeling layered diffraction gratings," J. Opt. Soc. Am. A 13, 1024-1035 (1996).

[CrossRef]

G. Bao, Z. M. Chen, and H. J. Wu, "Adaptive finite-element method for diffraction gratings," J. Opt. Soc. Am. A 22, 1106-1114 (2005).

[CrossRef]

K. Amemiya and K. Ohtaka, "Calculation of transmittance of light for an array of dielectric rods using vector cylindrical waves: complex unit cells," J. Phys. Soc. Jpn. 72, 1244-1253 (2003).

[CrossRef]

R. C. McPhedran, L. C. Botten, A. A. Asatryan, N. A. Nicorovici, P. A. Robinson, and C. M. de Sterke, "Calculation of electromagnetic properties of regular and random arrays of metallic and dielectric cylinders," Phys. Rev. E 60, 7614-7617 (1999).

[CrossRef]

T. Kushta and K. Yasumoto, "Electromagnetic scattering from periodic arrays of two circular cylinders per unit cell," Prog. Electromagn. Res. 29, 69-85 (2000).

[CrossRef]

S. Venakides, M. A. Haider, and V. Papanicolaou, "Boundary integral calculations of two-dimensional electromagnetic scattering by photonic crystal Fabry-Perot structures," SIAM J. Appl. Math. 60, 1686-1706 (2000).

[CrossRef]

S. J. Cox and D. C. Dobson, "Maximizing band gaps in two-dimensional photonic crystals," SIAM J. Appl. Math. 59, 2108-2120 (1999).

[CrossRef]

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

J. H. Yuan, Y. Y. Lu, and X. Antoine, "Modeling photonic crystals by boundary integral equations and Dirichlet-to-Neumann maps," submitted to J. Comput. Phys.