S. G. Johnson and J. Joannopoulus, “Block-iterative frequency domain methods for Maxwell’s equations in a planewave basis,” Opt. Express 8, 173 (2001).

[Crossref]
[PubMed]

T. Ochiai and K. Sakoda, “Nearly free-photon approximation for two-dimensional photonic crystal slabs,” Phys. Rev. B 64, 045108 (2001).

[Crossref]

M. L. Povinelli, Steven G. Johnson, Shanhui Fan, and J. D. Joannopoulos, “Emulation of two-dimensional photonic crystal defect modes in a photonic crystal with a three-dimensional photonic band gap,” Phys. Rev. B 64, 075313 (2001).

[Crossref]

M. M. Sigalas, R Biswas, K. M. Ho, and C. M. Soukoulis, “Theoretical investigation of off-plane propagation of electromagnetic waves in two-dimensional photonic crystals,” Phys. Rev. B 58, 6791 (1998).

[Crossref]

K. Sakoda, “Group-theoretical classification of eigenmodes in three-dimensional photonic lattices,” Phys. Rev. B 55, 15345 (1997).

[Crossref]

D. Cassagne, C. Jouanin, and D. Bertho, “Hexagonal photonic-band-gap structures,” Phys. Rev. B 53, 7134 (1996).

[Crossref]

K. Ohtaka and Y. Tanabe, “Photonic Bands Using Vector Spherical Waves. III Group-Theoretical Treatment,” J. Phys. Soc. Japan 65, 2670 (1996)

[Crossref]

R. Meade, K. Brommer, A. Rappe, and J. Joannopoulos, “Existence of a photonic band gap in two dimensions,” Appl. Phys. Lett. 61, 495 (1992).

[Crossref]

M. Plihal and A. Maradudin, “Photonic band structures of two-dimensional systems: The triangular lattice,” Phys. Rev. B 44, 8565 (1991).

[Crossref]

F. Bassani and G. P. Parravicini, Electronic States and Optical Transitions in Solids (Pergamon Press, Oxford, 1975), 8th ed..

D. Cassagne, C. Jouanin, and D. Bertho, “Hexagonal photonic-band-gap structures,” Phys. Rev. B 53, 7134 (1996).

[Crossref]

M. M. Sigalas, R Biswas, K. M. Ho, and C. M. Soukoulis, “Theoretical investigation of off-plane propagation of electromagnetic waves in two-dimensional photonic crystals,” Phys. Rev. B 58, 6791 (1998).

[Crossref]

R. Meade, K. Brommer, A. Rappe, and J. Joannopoulos, “Existence of a photonic band gap in two dimensions,” Appl. Phys. Lett. 61, 495 (1992).

[Crossref]

D. Cassagne, C. Jouanin, and D. Bertho, “Hexagonal photonic-band-gap structures,” Phys. Rev. B 53, 7134 (1996).

[Crossref]

M. L. Povinelli, Steven G. Johnson, Shanhui Fan, and J. D. Joannopoulos, “Emulation of two-dimensional photonic crystal defect modes in a photonic crystal with a three-dimensional photonic band gap,” Phys. Rev. B 64, 075313 (2001).

[Crossref]

M. M. Sigalas, R Biswas, K. M. Ho, and C. M. Soukoulis, “Theoretical investigation of off-plane propagation of electromagnetic waves in two-dimensional photonic crystals,” Phys. Rev. B 58, 6791 (1998).

[Crossref]

R. Meade, K. Brommer, A. Rappe, and J. Joannopoulos, “Existence of a photonic band gap in two dimensions,” Appl. Phys. Lett. 61, 495 (1992).

[Crossref]

M. L. Povinelli, Steven G. Johnson, Shanhui Fan, and J. D. Joannopoulos, “Emulation of two-dimensional photonic crystal defect modes in a photonic crystal with a three-dimensional photonic band gap,” Phys. Rev. B 64, 075313 (2001).

[Crossref]

M. L. Povinelli, Steven G. Johnson, Shanhui Fan, and J. D. Joannopoulos, “Emulation of two-dimensional photonic crystal defect modes in a photonic crystal with a three-dimensional photonic band gap,” Phys. Rev. B 64, 075313 (2001).

[Crossref]

D. Cassagne, C. Jouanin, and D. Bertho, “Hexagonal photonic-band-gap structures,” Phys. Rev. B 53, 7134 (1996).

[Crossref]

M. Løkke, “Triangular photonic band gap crystals - implementation in air-guiding optical fibers,” Thesis, University of Aarhus 2003 (unpublished).

M. Plihal and A. Maradudin, “Photonic band structures of two-dimensional systems: The triangular lattice,” Phys. Rev. B 44, 8565 (1991).

[Crossref]

R. Meade, K. Brommer, A. Rappe, and J. Joannopoulos, “Existence of a photonic band gap in two dimensions,” Appl. Phys. Lett. 61, 495 (1992).

[Crossref]

T. Ochiai and K. Sakoda, “Nearly free-photon approximation for two-dimensional photonic crystal slabs,” Phys. Rev. B 64, 045108 (2001).

[Crossref]

K. Ohtaka and Y. Tanabe, “Photonic Bands Using Vector Spherical Waves. III Group-Theoretical Treatment,” J. Phys. Soc. Japan 65, 2670 (1996)

[Crossref]

F. Bassani and G. P. Parravicini, Electronic States and Optical Transitions in Solids (Pergamon Press, Oxford, 1975), 8th ed..

M. Plihal and A. Maradudin, “Photonic band structures of two-dimensional systems: The triangular lattice,” Phys. Rev. B 44, 8565 (1991).

[Crossref]

M. L. Povinelli, Steven G. Johnson, Shanhui Fan, and J. D. Joannopoulos, “Emulation of two-dimensional photonic crystal defect modes in a photonic crystal with a three-dimensional photonic band gap,” Phys. Rev. B 64, 075313 (2001).

[Crossref]

R. Meade, K. Brommer, A. Rappe, and J. Joannopoulos, “Existence of a photonic band gap in two dimensions,” Appl. Phys. Lett. 61, 495 (1992).

[Crossref]

T. Ochiai and K. Sakoda, “Nearly free-photon approximation for two-dimensional photonic crystal slabs,” Phys. Rev. B 64, 045108 (2001).

[Crossref]

K. Sakoda, “Group-theoretical classification of eigenmodes in three-dimensional photonic lattices,” Phys. Rev. B 55, 15345 (1997).

[Crossref]

K. Sakoda, Optical Properties of Photonic Crystals (Springer, 2001).

M. M. Sigalas, R Biswas, K. M. Ho, and C. M. Soukoulis, “Theoretical investigation of off-plane propagation of electromagnetic waves in two-dimensional photonic crystals,” Phys. Rev. B 58, 6791 (1998).

[Crossref]

M. M. Sigalas, R Biswas, K. M. Ho, and C. M. Soukoulis, “Theoretical investigation of off-plane propagation of electromagnetic waves in two-dimensional photonic crystals,” Phys. Rev. B 58, 6791 (1998).

[Crossref]

K. Ohtaka and Y. Tanabe, “Photonic Bands Using Vector Spherical Waves. III Group-Theoretical Treatment,” J. Phys. Soc. Japan 65, 2670 (1996)

[Crossref]

R. Meade, K. Brommer, A. Rappe, and J. Joannopoulos, “Existence of a photonic band gap in two dimensions,” Appl. Phys. Lett. 61, 495 (1992).

[Crossref]

K. Ohtaka and Y. Tanabe, “Photonic Bands Using Vector Spherical Waves. III Group-Theoretical Treatment,” J. Phys. Soc. Japan 65, 2670 (1996)

[Crossref]

M. M. Sigalas, R Biswas, K. M. Ho, and C. M. Soukoulis, “Theoretical investigation of off-plane propagation of electromagnetic waves in two-dimensional photonic crystals,” Phys. Rev. B 58, 6791 (1998).

[Crossref]

M. L. Povinelli, Steven G. Johnson, Shanhui Fan, and J. D. Joannopoulos, “Emulation of two-dimensional photonic crystal defect modes in a photonic crystal with a three-dimensional photonic band gap,” Phys. Rev. B 64, 075313 (2001).

[Crossref]

D. Cassagne, C. Jouanin, and D. Bertho, “Hexagonal photonic-band-gap structures,” Phys. Rev. B 53, 7134 (1996).

[Crossref]

T. Ochiai and K. Sakoda, “Nearly free-photon approximation for two-dimensional photonic crystal slabs,” Phys. Rev. B 64, 045108 (2001).

[Crossref]

M. Plihal and A. Maradudin, “Photonic band structures of two-dimensional systems: The triangular lattice,” Phys. Rev. B 44, 8565 (1991).

[Crossref]

K. Sakoda, “Group-theoretical classification of eigenmodes in three-dimensional photonic lattices,” Phys. Rev. B 55, 15345 (1997).

[Crossref]

F. Bassani and G. P. Parravicini, Electronic States and Optical Transitions in Solids (Pergamon Press, Oxford, 1975), 8th ed..

Following the procedure in Ref.[7] we can, for incident waves in certain directions, also use the information about the irreducible representations to identify uncoupled modes which behave as band gaps.

M. Løkke, “Triangular photonic band gap crystals - implementation in air-guiding optical fibers,” Thesis, University of Aarhus 2003 (unpublished).

K. Sakoda, Optical Properties of Photonic Crystals (Springer, 2001).