C. Lopez, "Three-dimensional photonic bandgap materials: semiconductors for light," J. Opt. A 8, R1-R14 (2006).

[CrossRef]

W. Kuang, Z. Hou, Y. Liu, and H. Li, "The bandgap of a photonic crystal with triangular dielectric rods in a honeycomb lattice," J. Opt. A, Pure Appl. Opt. 7, 525-528 (2005).

[CrossRef]

K. Sakoda, S. Kirihara, Y. Miyamoto, M. W. Takeda, and K. Honda, "Light scattering and transmission spectra of the Menger sponge fractal," Appl. Phys. B: Photophys. Laser Chem. 81, 321-324 (2005).

[CrossRef]

Z. Liu, J. J. Xu, and Z. F. Lin, "Photonic band gaps in two-dimensional crystals with fractal structure," Chin. Phys. Lett. 20, 516-518 (2003).

[CrossRef]

S. Gao and S. Albin, "Numerical techniques for excitation and analysis of defect modes in photonic crystals," Opt. Express 11, 1080 (2003).

[CrossRef]

M. Qiu and B. Jaskorzynska, "Design of a channel drop filter in a two-dimensional triangular photonic crystal," Appl. Phys. Lett. 83, 1074-1076 (2003).

[CrossRef]

Z. Wang and S. Fan, "Compact all-pass filters in photonic crystals as the building block for high-capacity optical delay lines," Phys. Rev. E 68, 066616(1)-(4) (2003).

[CrossRef]

L. Li, Y. C. Xie, Y. Q. Wang, X. Y. Hu, Z. F. Feng, and B. Y. Cheng, "Absolute gap of two-dimensional fractal photonic structure," Chin. Phys. Lett. 20, 1767-1769 (2003).

[CrossRef]

N. Susa, "Large absolute and polarization-independent photonic band gaps for various lattice structures and rod shapes," J. Appl. Phys. 91, 3501-3510 (2002).

[CrossRef]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, "Channel drop tunneling through localized states," Phys. Rev. Lett. 80, 960-963 (1998).

[CrossRef]

J. D. Joannopoulos, P. R. Villeneuve, and S. Fan, "Photonic crystals: putting a new twist on light," Nature (London) 386, 143-149 (1997).

[CrossRef]

P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, "Microcavities in photonic crystals: mode symmetry, tunability, and coupling efficiency," Phys. Rev. B 54, 7837-7842 (1996).

[CrossRef]

J. N. Winn, R. D. Meade, and J. D. Joannopoulos, "Two-dimensional photonic band-gap materials," J. Mod. Opt. 41, 257-273 (1994).

[CrossRef]

R. Padjen, J. M. Gerard, and J. Y. Marzin, "Analysis of the filling pattern dependence of the photonic bandgap for two-dimensional systems," J. Mod. Opt. 41, 295-310 (1994).

[CrossRef]

J. P. Berenger, "A perfectly matched layer for the absorption of electromagnetic waves," J. Comput. Phys. 114, 185-200 (1994).

[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]

J. P. Berenger, "A perfectly matched layer for the absorption of electromagnetic waves," J. Comput. Phys. 114, 185-200 (1994).

[CrossRef]

L. Li, Y. C. Xie, Y. Q. Wang, X. Y. Hu, Z. F. Feng, and B. Y. Cheng, "Absolute gap of two-dimensional fractal photonic structure," Chin. Phys. Lett. 20, 1767-1769 (2003).

[CrossRef]

Z. Wang and S. Fan, "Compact all-pass filters in photonic crystals as the building block for high-capacity optical delay lines," Phys. Rev. E 68, 066616(1)-(4) (2003).

[CrossRef]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, "Channel drop tunneling through localized states," Phys. Rev. Lett. 80, 960-963 (1998).

[CrossRef]

J. D. Joannopoulos, P. R. Villeneuve, and S. Fan, "Photonic crystals: putting a new twist on light," Nature (London) 386, 143-149 (1997).

[CrossRef]

P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, "Microcavities in photonic crystals: mode symmetry, tunability, and coupling efficiency," Phys. Rev. B 54, 7837-7842 (1996).

[CrossRef]

L. Li, Y. C. Xie, Y. Q. Wang, X. Y. Hu, Z. F. Feng, and B. Y. Cheng, "Absolute gap of two-dimensional fractal photonic structure," Chin. Phys. Lett. 20, 1767-1769 (2003).

[CrossRef]

R. Padjen, J. M. Gerard, and J. Y. Marzin, "Analysis of the filling pattern dependence of the photonic bandgap for two-dimensional systems," J. Mod. Opt. 41, 295-310 (1994).

[CrossRef]

R. Wang, X. H. Wang, B. Y. Gu, and G. Z. Yang, "Effects of shapes and orientations of scatterers and lattice symmetries on the photonic band gap in two-dimensional photonic crystals," J. Appl. Phys. 90, 4307-4313 (2001).

[CrossRef]

A. Taflove and S. C. Hagness, Computational Electrodynamics: the Finite Difference Time Domain Method, 3rd Ed. (Artech House, 2005).

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, "Channel drop tunneling through localized states," Phys. Rev. Lett. 80, 960-963 (1998).

[CrossRef]

K. Sakoda, S. Kirihara, Y. Miyamoto, M. W. Takeda, and K. Honda, "Light scattering and transmission spectra of the Menger sponge fractal," Appl. Phys. B: Photophys. Laser Chem. 81, 321-324 (2005).

[CrossRef]

W. Kuang, Z. Hou, Y. Liu, and H. Li, "The bandgap of a photonic crystal with triangular dielectric rods in a honeycomb lattice," J. Opt. A, Pure Appl. Opt. 7, 525-528 (2005).

[CrossRef]

L. Li, Y. C. Xie, Y. Q. Wang, X. Y. Hu, Z. F. Feng, and B. Y. Cheng, "Absolute gap of two-dimensional fractal photonic structure," Chin. Phys. Lett. 20, 1767-1769 (2003).

[CrossRef]

M. Qiu and B. Jaskorzynska, "Design of a channel drop filter in a two-dimensional triangular photonic crystal," Appl. Phys. Lett. 83, 1074-1076 (2003).

[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]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, "Channel drop tunneling through localized states," Phys. Rev. Lett. 80, 960-963 (1998).

[CrossRef]

J. D. Joannopoulos, P. R. Villeneuve, and S. Fan, "Photonic crystals: putting a new twist on light," Nature (London) 386, 143-149 (1997).

[CrossRef]

P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, "Microcavities in photonic crystals: mode symmetry, tunability, and coupling efficiency," Phys. Rev. B 54, 7837-7842 (1996).

[CrossRef]

J. N. Winn, R. D. Meade, and J. D. Joannopoulos, "Two-dimensional photonic band-gap materials," J. Mod. Opt. 41, 257-273 (1994).

[CrossRef]

R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, "Nature of the photonic band gap: some insights from a field analysis," J. Opt. Soc. Am. B 10, 328-332 (1993).

[CrossRef]

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals (Princeton U. Press, 1995).

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

[CrossRef]
[PubMed]

K. Sakoda, S. Kirihara, Y. Miyamoto, M. W. Takeda, and K. Honda, "Light scattering and transmission spectra of the Menger sponge fractal," Appl. Phys. B: Photophys. Laser Chem. 81, 321-324 (2005).

[CrossRef]

W. Kuang, Z. Hou, Y. Liu, and H. Li, "The bandgap of a photonic crystal with triangular dielectric rods in a honeycomb lattice," J. Opt. A, Pure Appl. Opt. 7, 525-528 (2005).

[CrossRef]

W. Kuang, Z. Hou, Y. Liu, and H. Li, "The bandgap of a photonic crystal with triangular dielectric rods in a honeycomb lattice," J. Opt. A, Pure Appl. Opt. 7, 525-528 (2005).

[CrossRef]

L. Li, Y. C. Xie, Y. Q. Wang, X. Y. Hu, Z. F. Feng, and B. Y. Cheng, "Absolute gap of two-dimensional fractal photonic structure," Chin. Phys. Lett. 20, 1767-1769 (2003).

[CrossRef]

Z. Liu, J. J. Xu, and Z. F. Lin, "Photonic band gaps in two-dimensional crystals with fractal structure," Chin. Phys. Lett. 20, 516-518 (2003).

[CrossRef]

W. Kuang, Z. Hou, Y. Liu, and H. Li, "The bandgap of a photonic crystal with triangular dielectric rods in a honeycomb lattice," J. Opt. A, Pure Appl. Opt. 7, 525-528 (2005).

[CrossRef]

Z. Liu, J. J. Xu, and Z. F. Lin, "Photonic band gaps in two-dimensional crystals with fractal structure," Chin. Phys. Lett. 20, 516-518 (2003).

[CrossRef]

C. Lopez, "Three-dimensional photonic bandgap materials: semiconductors for light," J. Opt. A 8, R1-R14 (2006).

[CrossRef]

R. Padjen, J. M. Gerard, and J. Y. Marzin, "Analysis of the filling pattern dependence of the photonic bandgap for two-dimensional systems," J. Mod. Opt. 41, 295-310 (1994).

[CrossRef]

J. N. Winn, R. D. Meade, and J. D. Joannopoulos, "Two-dimensional photonic band-gap materials," J. Mod. Opt. 41, 257-273 (1994).

[CrossRef]

R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, "Nature of the photonic band gap: some insights from a field analysis," J. Opt. Soc. Am. B 10, 328-332 (1993).

[CrossRef]

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals (Princeton U. Press, 1995).

K. Sakoda, S. Kirihara, Y. Miyamoto, M. W. Takeda, and K. Honda, "Light scattering and transmission spectra of the Menger sponge fractal," Appl. Phys. B: Photophys. Laser Chem. 81, 321-324 (2005).

[CrossRef]

R. Padjen, J. M. Gerard, and J. Y. Marzin, "Analysis of the filling pattern dependence of the photonic bandgap for two-dimensional systems," J. Mod. Opt. 41, 295-310 (1994).

[CrossRef]

M. Qiu and B. Jaskorzynska, "Design of a channel drop filter in a two-dimensional triangular photonic crystal," Appl. Phys. Lett. 83, 1074-1076 (2003).

[CrossRef]

K. Sakoda, S. Kirihara, Y. Miyamoto, M. W. Takeda, and K. Honda, "Light scattering and transmission spectra of the Menger sponge fractal," Appl. Phys. B: Photophys. Laser Chem. 81, 321-324 (2005).

[CrossRef]

N. Susa, "Large absolute and polarization-independent photonic band gaps for various lattice structures and rod shapes," J. Appl. Phys. 91, 3501-3510 (2002).

[CrossRef]

A. Taflove and S. C. Hagness, Computational Electrodynamics: the Finite Difference Time Domain Method, 3rd Ed. (Artech House, 2005).

K. Sakoda, S. Kirihara, Y. Miyamoto, M. W. Takeda, and K. Honda, "Light scattering and transmission spectra of the Menger sponge fractal," Appl. Phys. B: Photophys. Laser Chem. 81, 321-324 (2005).

[CrossRef]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, "Channel drop tunneling through localized states," Phys. Rev. Lett. 80, 960-963 (1998).

[CrossRef]

J. D. Joannopoulos, P. R. Villeneuve, and S. Fan, "Photonic crystals: putting a new twist on light," Nature (London) 386, 143-149 (1997).

[CrossRef]

P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, "Microcavities in photonic crystals: mode symmetry, tunability, and coupling efficiency," Phys. Rev. B 54, 7837-7842 (1996).

[CrossRef]

R. Wang, X. H. Wang, B. Y. Gu, and G. Z. Yang, "Effects of shapes and orientations of scatterers and lattice symmetries on the photonic band gap in two-dimensional photonic crystals," J. Appl. Phys. 90, 4307-4313 (2001).

[CrossRef]

R. Wang, X. H. Wang, B. Y. Gu, and G. Z. Yang, "Effects of shapes and orientations of scatterers and lattice symmetries on the photonic band gap in two-dimensional photonic crystals," J. Appl. Phys. 90, 4307-4313 (2001).

[CrossRef]

L. Li, Y. C. Xie, Y. Q. Wang, X. Y. Hu, Z. F. Feng, and B. Y. Cheng, "Absolute gap of two-dimensional fractal photonic structure," Chin. Phys. Lett. 20, 1767-1769 (2003).

[CrossRef]

Z. Wang and S. Fan, "Compact all-pass filters in photonic crystals as the building block for high-capacity optical delay lines," Phys. Rev. E 68, 066616(1)-(4) (2003).

[CrossRef]

J. N. Winn, R. D. Meade, and J. D. Joannopoulos, "Two-dimensional photonic band-gap materials," J. Mod. Opt. 41, 257-273 (1994).

[CrossRef]

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals (Princeton U. Press, 1995).

L. Li, Y. C. Xie, Y. Q. Wang, X. Y. Hu, Z. F. Feng, and B. Y. Cheng, "Absolute gap of two-dimensional fractal photonic structure," Chin. Phys. Lett. 20, 1767-1769 (2003).

[CrossRef]

Z. Liu, J. J. Xu, and Z. F. Lin, "Photonic band gaps in two-dimensional crystals with fractal structure," Chin. Phys. Lett. 20, 516-518 (2003).

[CrossRef]

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

[CrossRef]
[PubMed]

R. Wang, X. H. Wang, B. Y. Gu, and G. Z. Yang, "Effects of shapes and orientations of scatterers and lattice symmetries on the photonic band gap in two-dimensional photonic crystals," J. Appl. Phys. 90, 4307-4313 (2001).

[CrossRef]

K. Sakoda, S. Kirihara, Y. Miyamoto, M. W. Takeda, and K. Honda, "Light scattering and transmission spectra of the Menger sponge fractal," Appl. Phys. B: Photophys. Laser Chem. 81, 321-324 (2005).

[CrossRef]

M. Qiu and B. Jaskorzynska, "Design of a channel drop filter in a two-dimensional triangular photonic crystal," Appl. Phys. Lett. 83, 1074-1076 (2003).

[CrossRef]

Z. Liu, J. J. Xu, and Z. F. Lin, "Photonic band gaps in two-dimensional crystals with fractal structure," Chin. Phys. Lett. 20, 516-518 (2003).

[CrossRef]

L. Li, Y. C. Xie, Y. Q. Wang, X. Y. Hu, Z. F. Feng, and B. Y. Cheng, "Absolute gap of two-dimensional fractal photonic structure," Chin. Phys. Lett. 20, 1767-1769 (2003).

[CrossRef]

R. Wang, X. H. Wang, B. Y. Gu, and G. Z. Yang, "Effects of shapes and orientations of scatterers and lattice symmetries on the photonic band gap in two-dimensional photonic crystals," J. Appl. Phys. 90, 4307-4313 (2001).

[CrossRef]

N. Susa, "Large absolute and polarization-independent photonic band gaps for various lattice structures and rod shapes," J. Appl. Phys. 91, 3501-3510 (2002).

[CrossRef]

J. P. Berenger, "A perfectly matched layer for the absorption of electromagnetic waves," J. Comput. Phys. 114, 185-200 (1994).

[CrossRef]

J. N. Winn, R. D. Meade, and J. D. Joannopoulos, "Two-dimensional photonic band-gap materials," J. Mod. Opt. 41, 257-273 (1994).

[CrossRef]

R. Padjen, J. M. Gerard, and J. Y. Marzin, "Analysis of the filling pattern dependence of the photonic bandgap for two-dimensional systems," J. Mod. Opt. 41, 295-310 (1994).

[CrossRef]

C. Lopez, "Three-dimensional photonic bandgap materials: semiconductors for light," J. Opt. A 8, R1-R14 (2006).

[CrossRef]

W. Kuang, Z. Hou, Y. Liu, and H. Li, "The bandgap of a photonic crystal with triangular dielectric rods in a honeycomb lattice," J. Opt. A, Pure Appl. Opt. 7, 525-528 (2005).

[CrossRef]

J. D. Joannopoulos, P. R. Villeneuve, and S. Fan, "Photonic crystals: putting a new twist on light," Nature (London) 386, 143-149 (1997).

[CrossRef]

P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, "Microcavities in photonic crystals: mode symmetry, tunability, and coupling efficiency," Phys. Rev. B 54, 7837-7842 (1996).

[CrossRef]

Z. Wang and S. Fan, "Compact all-pass filters in photonic crystals as the building block for high-capacity optical delay lines," Phys. Rev. E 68, 066616(1)-(4) (2003).

[CrossRef]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, "Channel drop tunneling through localized states," Phys. Rev. Lett. 80, 960-963 (1998).

[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]

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals (Princeton U. Press, 1995).

A. Taflove and S. C. Hagness, Computational Electrodynamics: the Finite Difference Time Domain Method, 3rd Ed. (Artech House, 2005).

FDTD software is available at http://ab-initio.mit.edu/meep, for example.