S. Li and Y. Y. Lu, "Multipole Dirichlet-to-Neumann map method for photonic crystals with complex unit cells," J. Opt. Soc. Am. A24, 2438-2442 (2007).

[CrossRef]

J. 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. Huang, Y. Y. Lu, and S. Li, "Analyzing photonic crystal waveguides by Dirichlet-to-Neumann maps," J. Opt. Soc. Am. B24, 2860-2867 (2007).

[CrossRef]

S. Li and Y. Y. Lu, "Computing photonic crystal defect modes by Dirichlet-to-Neumann maps," Opt. Express15, 14454-14466 (2007).

[CrossRef]
[PubMed]

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

K. Ogusu and K. Takayama, "Transmission characteristics of photonic crystal waveguides with stubs and their application to optical filters," Opt. Lett.32, 2185-2187 (2007).

[CrossRef]
[PubMed]

M. C. Lin and R. F. Jao, "Finite element analysis of photon density of states for twodimensional photonic crystals with in-plane light propagation," Opt. Express15, 207-218 (2007).

[CrossRef]
[PubMed]

P. J. Chiang and C. P. Yu, and H. C. Chang, "Analysis of two-dimensional photonic crystals using a multidomain pseudospectral method," Phys. Rev. E75, 026703 (2007).

[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, 043104 (2005).

[CrossRef]

S. Wilcox, L. C. Botten, R. C. McPhedran, C. G. Poulton, and C. M. de Sterke, "Modeling of defect modes in photonic crystals using the fictitious source superposition method," Phys. Rev. E71, 056606 (2005).

[CrossRef]

S. Jun, Y. S. Cho, and S. Im, "Moving least-square method for the band-structure calculation of 2D photonic crystals," Opt. Express11, 541-551 (2003).

[CrossRef]
[PubMed]

J. Smajic, C. Hafner, and D. Erni, "Design and optimization of an achromatic photonic crystal bend," Opt. Express11, 1378-1384 (2003).

[CrossRef]
[PubMed]

M. Marrone, V. F. Rodriguez-Esquerre, and H. E. Hernandez-Figueroa, "Novel numerical method for the analysis of 2D photonic crystals: the cell method," Opt. Express10, 1299-1304 (2002).

[PubMed]

E. Moreno, D. Erni, and C. Hafner, "Band structure computations of metallic photonic crystals with the multiple multipole method," Phys. Rev. B65, 155120 (2002).

[CrossRef]

S. G. Johnson and J. D. Joannopoulos, "Block-iterative frequency-domain methods for Maxwells equations in a planewave basis," Opt. Express8, 173-190 (2001).

[CrossRef]
[PubMed]

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. E64, 046603 (2001).

[CrossRef]

M. Koshiba, Y. Tsuji, and M. Hikari, "Time-domain beam propagation method and its application to photonic crystal circuits," J. Lightw. Technol.18, 102-110 (2000).

[CrossRef]

J. Yonekura, M. Ikeda, and T. Baba, "Analysis of finite 2-D photonic crystals of columns and lightwave devices using the scattering matrix method," J. Lightw. Technol.17, 1500-1508 (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]

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]

J. Yuan, Y. Y. Lu, and X. Antoine, "Modeling photonic crystals by boundary integral equations and Dirichlet-to-Neumann maps," J. Comput. Phys.227, 4617-3629 (2008).

[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. E64, 046603 (2001).

[CrossRef]

J. Yonekura, M. Ikeda, and T. Baba, "Analysis of finite 2-D photonic crystals of columns and lightwave devices using the scattering matrix method," J. Lightw. Technol.17, 1500-1508 (1999).

[CrossRef]

S. Wilcox, L. C. Botten, R. C. McPhedran, C. G. Poulton, and C. M. de Sterke, "Modeling of defect modes in photonic crystals using the fictitious source superposition method," Phys. Rev. E71, 056606 (2005).

[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. E64, 046603 (2001).

[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, 043104 (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 and C. P. Yu, and H. C. Chang, "Analysis of two-dimensional photonic crystals using a multidomain pseudospectral method," Phys. Rev. E75, 026703 (2007).

[CrossRef]

S. Wilcox, L. C. Botten, R. C. McPhedran, C. G. Poulton, and C. M. de Sterke, "Modeling of defect modes in photonic crystals using the fictitious source superposition method," Phys. Rev. E71, 056606 (2005).

[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. E64, 046603 (2001).

[CrossRef]

J. Smajic, C. Hafner, and D. Erni, "Design and optimization of an achromatic photonic crystal bend," Opt. Express11, 1378-1384 (2003).

[CrossRef]
[PubMed]

E. Moreno, D. Erni, and C. Hafner, "Band structure computations of metallic photonic crystals with the multiple multipole method," Phys. Rev. B65, 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]

J. Smajic, C. Hafner, and D. Erni, "Design and optimization of an achromatic photonic crystal bend," Opt. Express11, 1378-1384 (2003).

[CrossRef]
[PubMed]

E. Moreno, D. Erni, and C. Hafner, "Band structure computations of metallic photonic crystals with the multiple multipole method," Phys. Rev. B65, 155120 (2002).

[CrossRef]

M. Koshiba, Y. Tsuji, and M. Hikari, "Time-domain beam propagation method and its application to photonic crystal circuits," J. Lightw. Technol.18, 102-110 (2000).

[CrossRef]

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

Y. Huang, Y. Y. Lu, and S. Li, "Analyzing photonic crystal waveguides by Dirichlet-to-Neumann maps," J. Opt. Soc. Am. B24, 2860-2867 (2007).

[CrossRef]

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

[CrossRef]

J. Yonekura, M. Ikeda, and T. Baba, "Analysis of finite 2-D photonic crystals of columns and lightwave devices using the scattering matrix method," J. Lightw. Technol.17, 1500-1508 (1999).

[CrossRef]

S. G. Johnson and J. D. Joannopoulos, "Block-iterative frequency-domain methods for Maxwells equations in a planewave basis," Opt. Express8, 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]

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

[CrossRef]
[PubMed]

M. Koshiba, Y. Tsuji, and M. Hikari, "Time-domain beam propagation method and its application to photonic crystal circuits," J. Lightw. Technol.18, 102-110 (2000).

[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]

Y. Huang, Y. Y. Lu, and S. Li, "Analyzing photonic crystal waveguides by Dirichlet-to-Neumann maps," J. Opt. Soc. Am. B24, 2860-2867 (2007).

[CrossRef]

S. Li and Y. Y. Lu, "Computing photonic crystal defect modes by Dirichlet-to-Neumann maps," Opt. Express15, 14454-14466 (2007).

[CrossRef]
[PubMed]

S. Li and Y. Y. Lu, "Multipole Dirichlet-to-Neumann map method for photonic crystals with complex unit cells," J. Opt. Soc. Am. A24, 2438-2442 (2007).

[CrossRef]

Y. Wu and Y. Y. Lu, "Dirichlet-to-Neumann map method for analyzing interpenetrating cylinder arrays in a triangular lattice," J. Opt. Soc. Am. B25, 1466-1473 (2008).

[CrossRef]

J. Yuan, Y. Y. Lu, and X. Antoine, "Modeling photonic crystals by boundary integral equations and Dirichlet-to-Neumann maps," J. Comput. Phys.227, 4617-3629 (2008).

[CrossRef]

S. Li and Y. Y. Lu, "Multipole Dirichlet-to-Neumann map method for photonic crystals with complex unit cells," J. Opt. Soc. Am. A24, 2438-2442 (2007).

[CrossRef]

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

S. Li and Y. Y. Lu, "Computing photonic crystal defect modes by Dirichlet-to-Neumann maps," Opt. Express15, 14454-14466 (2007).

[CrossRef]
[PubMed]

J. 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. Huang, Y. Y. Lu, and S. Li, "Analyzing photonic crystal waveguides by Dirichlet-to-Neumann maps," J. Opt. Soc. Am. B24, 2860-2867 (2007).

[CrossRef]

J. Yuan and Y. Y.Lu, "Photonic bandgap calculations using Dirichlet-to-Neumann maps," J. Opt. Soc. Am. A23, 3217-3222 (2006).

[CrossRef]

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

[CrossRef]

S. Wilcox, L. C. Botten, R. C. McPhedran, C. G. Poulton, and C. M. de Sterke, "Modeling of defect modes in photonic crystals using the fictitious source superposition method," Phys. Rev. E71, 056606 (2005).

[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. E64, 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. Moreno, D. Erni, and C. Hafner, "Band structure computations of metallic photonic crystals with the multiple multipole method," Phys. Rev. B65, 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. E64, 046603 (2001).

[CrossRef]

S. Wilcox, L. C. Botten, R. C. McPhedran, C. G. Poulton, and C. M. de Sterke, "Modeling of defect modes in photonic crystals using the fictitious source superposition method," Phys. Rev. E71, 056606 (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, 043104 (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, 043104 (2005).

[CrossRef]

M. Koshiba, Y. Tsuji, and M. Hikari, "Time-domain beam propagation method and its application to photonic crystal circuits," J. Lightw. Technol.18, 102-110 (2000).

[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]

S. Wilcox, L. C. Botten, R. C. McPhedran, C. G. Poulton, and C. M. de Sterke, "Modeling of defect modes in photonic crystals using the fictitious source superposition method," Phys. Rev. E71, 056606 (2005).

[CrossRef]

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

[CrossRef]
[PubMed]

J. Yonekura, M. Ikeda, and T. Baba, "Analysis of finite 2-D photonic crystals of columns and lightwave devices using the scattering matrix method," J. Lightw. Technol.17, 1500-1508 (1999).

[CrossRef]

J. Yuan, Y. Y. Lu, and X. Antoine, "Modeling photonic crystals by boundary integral equations and Dirichlet-to-Neumann maps," J. Comput. Phys.227, 4617-3629 (2008).

[CrossRef]

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

[CrossRef]

J. Yuan and Y. Y.Lu, "Photonic bandgap calculations using Dirichlet-to-Neumann maps," J. Opt. Soc. Am. A23, 3217-3222 (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, 043104 (2005).

[CrossRef]

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

J. Yuan, Y. Y. Lu, and X. Antoine, "Modeling photonic crystals by boundary integral equations and Dirichlet-to-Neumann maps," J. Comput. Phys.227, 4617-3629 (2008).

[CrossRef]

J. Yonekura, M. Ikeda, and T. Baba, "Analysis of finite 2-D photonic crystals of columns and lightwave devices using the scattering matrix method," J. Lightw. Technol.17, 1500-1508 (1999).

[CrossRef]

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

[CrossRef]

M. Koshiba, Y. Tsuji, and M. Hikari, "Time-domain beam propagation method and its application to photonic crystal circuits," J. Lightw. Technol.18, 102-110 (2000).

[CrossRef]

J. Yuan and Y. Y.Lu, "Photonic bandgap calculations using Dirichlet-to-Neumann maps," J. Opt. Soc. Am. A23, 3217-3222 (2006).

[CrossRef]

D. Felbacq, G. Tayeb, and D. Maystre, "Scattering by a random set of parallel cylinders," J. Opt. Soc. Am. A11, 2526-2538 (1994).

[CrossRef]

S. Li and Y. Y. Lu, "Multipole Dirichlet-to-Neumann map method for photonic crystals with complex unit cells," J. Opt. Soc. Am. A24, 2438-2442 (2007).

[CrossRef]

J. 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. Li and Y. Y. Lu, "Computing photonic crystal defect modes by Dirichlet-to-Neumann maps," Opt. Express15, 14454-14466 (2007).

[CrossRef]
[PubMed]

S. G. Johnson and J. D. Joannopoulos, "Block-iterative frequency-domain methods for Maxwells equations in a planewave basis," Opt. Express8, 173-190 (2001).

[CrossRef]
[PubMed]

J. Smajic, C. Hafner, and D. Erni, "Design and optimization of an achromatic photonic crystal bend," Opt. Express11, 1378-1384 (2003).

[CrossRef]
[PubMed]

M. C. Lin and R. F. Jao, "Finite element analysis of photon density of states for twodimensional photonic crystals with in-plane light propagation," Opt. Express15, 207-218 (2007).

[CrossRef]
[PubMed]

M. Marrone, V. F. Rodriguez-Esquerre, and H. E. Hernandez-Figueroa, "Novel numerical method for the analysis of 2D photonic crystals: the cell method," Opt. Express10, 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. Express11, 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. Express12, 1397-1408 (2004).

[CrossRef]
[PubMed]

S. Guo, F. Wu, S. Albin, and R. S. Rogowski, "Photonic band gap analysis using finitedifference frequency-domain method," Opt. Express12, 1741-1746 (2004).

[CrossRef]
[PubMed]

E. Moreno, D. Erni, and C. Hafner, "Band structure computations of metallic photonic crystals with the multiple multipole method," Phys. Rev. B65, 155120 (2002).

[CrossRef]

P. J. Chiang and C. P. Yu, and H. C. Chang, "Analysis of two-dimensional photonic crystals using a multidomain pseudospectral method," Phys. Rev. E75, 026703 (2007).

[CrossRef]

S. Wilcox, L. C. Botten, R. C. McPhedran, C. G. Poulton, and C. M. de Sterke, "Modeling of defect modes in photonic crystals using the fictitious source superposition method," Phys. Rev. E71, 056606 (2005).

[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. E64, 046603 (2001).

[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]

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. A. Martin, Multiple Scattering (Cambridge University Press, Cambridge, UK, 2006).

[CrossRef]

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

H. Ikuno and Y. Naka, "Finite-difference time-domain method applied to photonic crystals," in Electromagnetic Theory and Appications for Photonic Crystals, ed., K. Yasumoto, (CRC Press, Taylor & Francis Group, 2006).

T. Fujisawa and M. Koshiba, "Finite-element modeling of nonlinear interferometers based on photonic-crystal waveguides for all-optical signal processing," J. Lightw. Technol.24, 617-623 (1006).

[CrossRef]