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S. S. A. Obayya, "Finite element time domain solution of resonant modes in photonic bandgap cavities," J. Opt. Quantum Electron. 37, 865-873 (2005).

V. F. Rodriguez-Esquerre, M. Koshiba, H. Figueroa, "Finite-element time-domain analysis of 2-D photonic crystal resonant cavities," IEEE Photon. Technol. Lett. 16, 816-818 (2004).

W. Xue, G. Zhou, Y. Xiao, R. Yang, "Analysis of dispersion properties in hexagonal hollow fiber," J. Lightw. Technol. 22, 1909-1914 (2004).

S. S. A. Obayya, "Efficient finite-element-based time-domain beam propagation analysis of optical integrated
circuits," IEEE J. Quantum Electron. 40, 591-595 (2004).

P. I. Borel, L. H. Frandsen, A. Harpøth, J. B. Leon, H. Liu, M. Kristensen, W. Bogaerts, P. Dumon, R. Baets, V. Wiaux, J. Wouters, S. Beckx, "Bandwidth engineering of photonic crystal waveguide bends," Electron. Lett. 40, 1263-1264 (2004).

H. M. H. Chong, R. M. De La Rue, "Tuning of photonic crystal waveguide microcavity by thermooptic effect," IEEE Photon. Technol. Lett. 16, 1528-1530 (2004).

R. Costa, A. Melloni, M. Martinelli, "Bandpass resonant filters in photonic-crystal waveguides," IEEE Photon. Technol. Lett. 15, 401-403 (2003).

E. Pistono, P. Ferrari, L. Duvillaret, J. L. Coutaz, A. Jrad, "Tunable bandpass microwave filters based on defect commandable photonic bandgap waveguides
," Electron. Lett. 39, 1131-1133 (2003).

S. Wang, F. L. Teixeira, "An efficient PML implementation for the ADI-FDTD method," IEEE Microw. Wireless Compon. Lett. 13, 72-74 (2003).

H. Rao, R. Scarmozzino, R. M. Osgood, "An improved ADI-FDTD method and its application to photonic simulations," IEEE Photon. Technol. Lett. 14, 477-479 (2002).

M. R. Watts, S. G. Johnson, H. A. Haus, J. D. Joannopoulos, "Electromagnetic cavity with arbitrary Q and small modal
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S. S. A. Obayya, B. M. A. Rahman, H. A. El-Mikati, "New full-vectorial numerically efficient propagation algorithm based on the finite element method
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A. Mekis, M. Meier, A. DodaBalapur, R. E. Slusher, J. D. Joannopulos, "Lasing mechanism in two dimensional photonic crystal lasers," Appl. Phys., A Mater. Sci. Process. 69, 111-114 (1999).

O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O’Brien, P. D. Dapkus, I. Kim, "Two-dimensional photonic band-gap defect mode laser," Science 284, 1819-1821 (1999).

J. K. Hwang, S. B. Hyun, H. Y. Ryu, Y. H. Lee, "Resonant modes of two-dimensional photonic bandgap cavities determined by the finite-element
method and by use of the anisotropic perfectly matched layer boundary condition," J. Opt. Soc. Amer. B, Opt. Phys. 15, 2316-2324 (1998).

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

W. Huang, C. Xu, S. T. Chu, S. K. Chaudhuri, "The finite-difference vector beam propagation method: Analysis and assessment," J. Lightw. Technol. 10, 295-305 (1992).

W. P. Huang, S. T. Chu, S. K. Chaudhuri, "A semivectorial finite-difference time-domain method," IEEE Photon. Technol. Lett. 3, 803-806 (1991).

B. M. Nyman, P. R. Prucnal, "The modified beam propagation method," J. Lightw. Technol. 7, 931-936 (1989).

A. Mekis, M. Meier, A. DodaBalapur, R. E. Slusher, J. D. Joannopulos, "Lasing mechanism in two dimensional photonic crystal lasers," Appl. Phys., A Mater. Sci. Process. 69, 111-114 (1999).

P. I. Borel, L. H. Frandsen, A. Harpøth, J. B. Leon, H. Liu, M. Kristensen, W. Bogaerts, P. Dumon, R. Baets, V. Wiaux, J. Wouters, S. Beckx, "Bandwidth engineering of photonic crystal waveguide bends," Electron. Lett. 40, 1263-1264 (2004).

E. Pistono, P. Ferrari, L. Duvillaret, J. L. Coutaz, A. Jrad, "Tunable bandpass microwave filters based on defect commandable photonic bandgap waveguides
," Electron. Lett. 39, 1131-1133 (2003).

S. S. A. Obayya, "Efficient finite-element-based time-domain beam propagation analysis of optical integrated
circuits," IEEE J. Quantum Electron. 40, 591-595 (2004).

S. Wang, F. L. Teixeira, "An efficient PML implementation for the ADI-FDTD method," IEEE Microw. Wireless Compon. Lett. 13, 72-74 (2003).

H. Rao, R. Scarmozzino, R. M. Osgood, "An improved ADI-FDTD method and its application to photonic simulations," IEEE Photon. Technol. Lett. 14, 477-479 (2002).

W. P. Huang, S. T. Chu, S. K. Chaudhuri, "A semivectorial finite-difference time-domain method," IEEE Photon. Technol. Lett. 3, 803-806 (1991).

R. Costa, A. Melloni, M. Martinelli, "Bandpass resonant filters in photonic-crystal waveguides," IEEE Photon. Technol. Lett. 15, 401-403 (2003).

H. M. H. Chong, R. M. De La Rue, "Tuning of photonic crystal waveguide microcavity by thermooptic effect," IEEE Photon. Technol. Lett. 16, 1528-1530 (2004).

V. F. Rodriguez-Esquerre, M. Koshiba, H. Figueroa, "Finite-element time-domain analysis of 2-D photonic crystal resonant cavities," IEEE Photon. Technol. Lett. 16, 816-818 (2004).

W. Xue, G. Zhou, Y. Xiao, R. Yang, "Analysis of dispersion properties in hexagonal hollow fiber," J. Lightw. Technol. 22, 1909-1914 (2004).

B. M. Nyman, P. R. Prucnal, "The modified beam propagation method," J. Lightw. Technol. 7, 931-936 (1989).

W. Huang, C. Xu, S. T. Chu, S. K. Chaudhuri, "The finite-difference vector beam propagation method: Analysis and assessment," J. Lightw. Technol. 10, 295-305 (1992).

S. S. A. Obayya, B. M. A. Rahman, H. A. El-Mikati, "New full-vectorial numerically efficient propagation algorithm based on the finite element method
," J. Lightw. Technol. 18, 409-415 (2000).

V. F. Rodriguez-Esquerre, M. Koshiba, H. Figueroa, "Finite-element analysis of photonic crystal cavities: Time and frequency domain," J. Lightw. Technol. 23, 1514-1521 (2005).

S. S. A. Obayya, "Finite element time domain solution of resonant modes in photonic bandgap cavities," J. Opt. Quantum Electron. 37, 865-873 (2005).

J. K. Hwang, S. B. Hyun, H. Y. Ryu, Y. H. Lee, "Resonant modes of two-dimensional photonic bandgap cavities determined by the finite-element
method and by use of the anisotropic perfectly matched layer boundary condition," J. Opt. Soc. Amer. B, Opt. Phys. 15, 2316-2324 (1998).

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

O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O’Brien, P. D. Dapkus, I. Kim, "Two-dimensional photonic band-gap defect mode laser," Science 284, 1819-1821 (1999).

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

A. Taflove, S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method (Artech House, 2005).