A. Khavasi, A. K. Jahromi, and K. Mehrany, “Longitudinal Legendre polynomial expansion of electromagnetic fields for analysis of arbitrary-shaped gratings,” J. Opt. Soc. Am. A 25, 1564–1573 (2008).

[CrossRef]

P. Sarrafi, A. Naqavi, K. Mehrany, S. Khorasani, and B. Rashidian, “An efficient approach toward guided mode extraction in two-dimensional photonic crystals,” Opt. Commun. 281, 2826–2833 (2008).

[CrossRef]

Y. Zhao and Y. Hao, “Finite-difference time-domain study of guided modes in nano-plasmonic waveguides,” IEEE Trans. Antennas Propag. 55, 3070–3077 (2007).

[CrossRef]

W. Kuang, W. J. Kim, A. Mock, and J. O’Brien, “Propagation loss of line-defect photonic crystal slab waveguides,” IEEE J. Sel. Top. Quantum Electron. 12, 1183–1195 (2006).

[CrossRef]

Z. Szabó, G. Kádár, and J. Volk, “Band gaps in photonic crystals with dispersion,” Int. J. Comput. Math. Electr. Electron. Eng. (COMPEL) 24, 521–533 (2005).

[CrossRef]

K. Yasumoto, H. Jia, and K. Sun, “Rigorous analysis of two-dimensional photonic crystal waveguide,” Radio Sci. 40, 1–7 (2005).

[CrossRef]

E. Istrate and E. H. Sargent, “Photonic crystal waveguide analysis using interface boundary conditions,” IEEE J. Quantum Electron. 41, 461–467 (2005).

[CrossRef]

C. Sauvan, P. Lalanne, J. C. Rodier, J. P. Hugonin, and A. Talneau, “Accurate modeling of line-defect photonic crystal waveguides,” IEEE Photon. Technol. Lett. 15, 1243–1245 (2003).

[CrossRef]

A. Khelif, B. Djafari-Rouhani, J. O. Vasseur, P. A. Deymier, Ph. Lambin, and L. Dobrzynski, “Transmittivity through straight and stublike waveguides in a two-dimensional phononic crystal,” Phys. Rev. B 65, 174308 (2002).

[CrossRef]

S. G. Johnson, P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, “Linear waveguides in photonic-crystal slabs,” Phys. Rev. B 62, 8212–8222 (2000).

[CrossRef]

A. Agrawal and J. H. Lang, Foundations of Analog and Digital Electronic Circuits (Elsevier, 2005).

P. G. Ciarlet, The Finite Element Method for Elliptic Problems (Society for Industrial and Applied Mathematics, 2002).

A. Khelif, B. Djafari-Rouhani, J. O. Vasseur, P. A. Deymier, Ph. Lambin, and L. Dobrzynski, “Transmittivity through straight and stublike waveguides in a two-dimensional phononic crystal,” Phys. Rev. B 65, 174308 (2002).

[CrossRef]

A. Khelif, B. Djafari-Rouhani, J. O. Vasseur, P. A. Deymier, Ph. Lambin, and L. Dobrzynski, “Transmittivity through straight and stublike waveguides in a two-dimensional phononic crystal,” Phys. Rev. B 65, 174308 (2002).

[CrossRef]

A. Khelif, B. Djafari-Rouhani, J. O. Vasseur, P. A. Deymier, Ph. Lambin, and L. Dobrzynski, “Transmittivity through straight and stublike waveguides in a two-dimensional phononic crystal,” Phys. Rev. B 65, 174308 (2002).

[CrossRef]

S. G. Johnson, P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, “Linear waveguides in photonic-crystal slabs,” Phys. Rev. B 62, 8212–8222 (2000).

[CrossRef]

A. Khavasi, N. Habibi, A. H. Hosseinnia, and K. Mehrany, “A transmission line model for extraction of defect modes in two-dimensional photonic crystals,” in 2010 International Conference on Photonics (ICP) (IEEE, 2010), pp. 1–3.

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

Y. Zhao and Y. Hao, “Finite-difference time-domain study of guided modes in nano-plasmonic waveguides,” IEEE Trans. Antennas Propag. 55, 3070–3077 (2007).

[CrossRef]

A. Khavasi, N. Habibi, A. H. Hosseinnia, and K. Mehrany, “A transmission line model for extraction of defect modes in two-dimensional photonic crystals,” in 2010 International Conference on Photonics (ICP) (IEEE, 2010), pp. 1–3.

A. H. Hosseinnia, “Migration of eigenmodes in photonic and quantum-well structures,” MSc thesis (Sharif University of Technology, 2008).

C. Sauvan, P. Lalanne, J. C. Rodier, J. P. Hugonin, and A. Talneau, “Accurate modeling of line-defect photonic crystal waveguides,” IEEE Photon. Technol. Lett. 15, 1243–1245 (2003).

[CrossRef]

E. Istrate and E. H. Sargent, “Photonic crystal waveguide analysis using interface boundary conditions,” IEEE J. Quantum Electron. 41, 461–467 (2005).

[CrossRef]

K. Yasumoto, H. Jia, and K. Sun, “Rigorous analysis of two-dimensional photonic crystal waveguide,” Radio Sci. 40, 1–7 (2005).

[CrossRef]

S. G. Johnson, P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, “Linear waveguides in photonic-crystal slabs,” Phys. Rev. B 62, 8212–8222 (2000).

[CrossRef]

S. G. Johnson, P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, “Linear waveguides in photonic-crystal slabs,” Phys. Rev. B 62, 8212–8222 (2000).

[CrossRef]

Z. Szabó, G. Kádár, and J. Volk, “Band gaps in photonic crystals with dispersion,” Int. J. Comput. Math. Electr. Electron. Eng. (COMPEL) 24, 521–533 (2005).

[CrossRef]

M. Miri, A. Khavasi, K. Mehrany, and B. Rashidian, “Transmission line model to design matching stage for light coupling into two-dimensional photonic crystals,” Opt. Lett. 35, 115–117 (2010).

[CrossRef]

A. Khavasi, A. K. Jahromi, and K. Mehrany, “Longitudinal Legendre polynomial expansion of electromagnetic fields for analysis of arbitrary-shaped gratings,” J. Opt. Soc. Am. A 25, 1564–1573 (2008).

[CrossRef]

A. Khavasi, N. Habibi, A. H. Hosseinnia, and K. Mehrany, “A transmission line model for extraction of defect modes in two-dimensional photonic crystals,” in 2010 International Conference on Photonics (ICP) (IEEE, 2010), pp. 1–3.

A. Khelif, B. Djafari-Rouhani, J. O. Vasseur, P. A. Deymier, Ph. Lambin, and L. Dobrzynski, “Transmittivity through straight and stublike waveguides in a two-dimensional phononic crystal,” Phys. Rev. B 65, 174308 (2002).

[CrossRef]

P. Sarrafi, A. Naqavi, K. Mehrany, S. Khorasani, and B. Rashidian, “An efficient approach toward guided mode extraction in two-dimensional photonic crystals,” Opt. Commun. 281, 2826–2833 (2008).

[CrossRef]

W. Kuang, W. J. Kim, A. Mock, and J. O’Brien, “Propagation loss of line-defect photonic crystal slab waveguides,” IEEE J. Sel. Top. Quantum Electron. 12, 1183–1195 (2006).

[CrossRef]

W. Kuang, W. J. Kim, A. Mock, and J. O’Brien, “Propagation loss of line-defect photonic crystal slab waveguides,” IEEE J. Sel. Top. Quantum Electron. 12, 1183–1195 (2006).

[CrossRef]

C. Sauvan, P. Lalanne, J. C. Rodier, J. P. Hugonin, and A. Talneau, “Accurate modeling of line-defect photonic crystal waveguides,” IEEE Photon. Technol. Lett. 15, 1243–1245 (2003).

[CrossRef]

A. Khelif, B. Djafari-Rouhani, J. O. Vasseur, P. A. Deymier, Ph. Lambin, and L. Dobrzynski, “Transmittivity through straight and stublike waveguides in a two-dimensional phononic crystal,” Phys. Rev. B 65, 174308 (2002).

[CrossRef]

A. Agrawal and J. H. Lang, Foundations of Analog and Digital Electronic Circuits (Elsevier, 2005).

G. Lifante, Integrated Photonics Fundamentals (Wiley, 2003).

E. Loewen and E. Popov, Diffraction Gratings and Applications (Dekker, 1997).

M. Miri, A. Khavasi, K. Mehrany, and B. Rashidian, “Transmission line model to design matching stage for light coupling into two-dimensional photonic crystals,” Opt. Lett. 35, 115–117 (2010).

[CrossRef]

P. Sarrafi and K. Mehrany, “Fast convergent and unconditionally stable Galerkin’s method with adaptive Hermite–Gauss expansion for guided-mode extraction in two-dimensional photonic crystal based waveguides,” J. Opt. Soc. Am. B 26, 169–175 (2009).

[CrossRef]

A. Khavasi, A. K. Jahromi, and K. Mehrany, “Longitudinal Legendre polynomial expansion of electromagnetic fields for analysis of arbitrary-shaped gratings,” J. Opt. Soc. Am. A 25, 1564–1573 (2008).

[CrossRef]

P. Sarrafi, A. Naqavi, K. Mehrany, S. Khorasani, and B. Rashidian, “An efficient approach toward guided mode extraction in two-dimensional photonic crystals,” Opt. Commun. 281, 2826–2833 (2008).

[CrossRef]

A. Khavasi, N. Habibi, A. H. Hosseinnia, and K. Mehrany, “A transmission line model for extraction of defect modes in two-dimensional photonic crystals,” in 2010 International Conference on Photonics (ICP) (IEEE, 2010), pp. 1–3.

W. Kuang, W. J. Kim, A. Mock, and J. O’Brien, “Propagation loss of line-defect photonic crystal slab waveguides,” IEEE J. Sel. Top. Quantum Electron. 12, 1183–1195 (2006).

[CrossRef]

T. Rozzi and M. Mongiardo, Open Electromagnetic Waveguides (The Institution of Electrical Engineers, 1997), pp. 135–141.

P. Sarrafi, A. Naqavi, K. Mehrany, S. Khorasani, and B. Rashidian, “An efficient approach toward guided mode extraction in two-dimensional photonic crystals,” Opt. Commun. 281, 2826–2833 (2008).

[CrossRef]

W. Kuang, W. J. Kim, A. Mock, and J. O’Brien, “Propagation loss of line-defect photonic crystal slab waveguides,” IEEE J. Sel. Top. Quantum Electron. 12, 1183–1195 (2006).

[CrossRef]

E. Loewen and E. Popov, Diffraction Gratings and Applications (Dekker, 1997).

S. Ramo, J. R. Whinnery, and T. Van Duzer, Fields and Waves in Communication Electronics (Wiley, 1965).

M. Miri, A. Khavasi, K. Mehrany, and B. Rashidian, “Transmission line model to design matching stage for light coupling into two-dimensional photonic crystals,” Opt. Lett. 35, 115–117 (2010).

[CrossRef]

P. Sarrafi, A. Naqavi, K. Mehrany, S. Khorasani, and B. Rashidian, “An efficient approach toward guided mode extraction in two-dimensional photonic crystals,” Opt. Commun. 281, 2826–2833 (2008).

[CrossRef]

C. Sauvan, P. Lalanne, J. C. Rodier, J. P. Hugonin, and A. Talneau, “Accurate modeling of line-defect photonic crystal waveguides,” IEEE Photon. Technol. Lett. 15, 1243–1245 (2003).

[CrossRef]

T. Rozzi and M. Mongiardo, Open Electromagnetic Waveguides (The Institution of Electrical Engineers, 1997), pp. 135–141.

E. Istrate and E. H. Sargent, “Photonic crystal waveguide analysis using interface boundary conditions,” IEEE J. Quantum Electron. 41, 461–467 (2005).

[CrossRef]

P. Sarrafi and K. Mehrany, “Fast convergent and unconditionally stable Galerkin’s method with adaptive Hermite–Gauss expansion for guided-mode extraction in two-dimensional photonic crystal based waveguides,” J. Opt. Soc. Am. B 26, 169–175 (2009).

[CrossRef]

P. Sarrafi, A. Naqavi, K. Mehrany, S. Khorasani, and B. Rashidian, “An efficient approach toward guided mode extraction in two-dimensional photonic crystals,” Opt. Commun. 281, 2826–2833 (2008).

[CrossRef]

C. Sauvan, P. Lalanne, J. C. Rodier, J. P. Hugonin, and A. Talneau, “Accurate modeling of line-defect photonic crystal waveguides,” IEEE Photon. Technol. Lett. 15, 1243–1245 (2003).

[CrossRef]

R. Sorrentino, “Transverse resonance technique,” in Numerical Techniques for Microwave and Millimeter—Wave Passive Structures, T. Itoh, ed. (Wiley, 1989), Chap. 1L.

K. Yasumoto, H. Jia, and K. Sun, “Rigorous analysis of two-dimensional photonic crystal waveguide,” Radio Sci. 40, 1–7 (2005).

[CrossRef]

Z. Szabó, G. Kádár, and J. Volk, “Band gaps in photonic crystals with dispersion,” Int. J. Comput. Math. Electr. Electron. Eng. (COMPEL) 24, 521–533 (2005).

[CrossRef]

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

C. Sauvan, P. Lalanne, J. C. Rodier, J. P. Hugonin, and A. Talneau, “Accurate modeling of line-defect photonic crystal waveguides,” IEEE Photon. Technol. Lett. 15, 1243–1245 (2003).

[CrossRef]

S. Ramo, J. R. Whinnery, and T. Van Duzer, Fields and Waves in Communication Electronics (Wiley, 1965).

A. Khelif, B. Djafari-Rouhani, J. O. Vasseur, P. A. Deymier, Ph. Lambin, and L. Dobrzynski, “Transmittivity through straight and stublike waveguides in a two-dimensional phononic crystal,” Phys. Rev. B 65, 174308 (2002).

[CrossRef]

S. G. Johnson, P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, “Linear waveguides in photonic-crystal slabs,” Phys. Rev. B 62, 8212–8222 (2000).

[CrossRef]

Z. Szabó, G. Kádár, and J. Volk, “Band gaps in photonic crystals with dispersion,” Int. J. Comput. Math. Electr. Electron. Eng. (COMPEL) 24, 521–533 (2005).

[CrossRef]

S. Ramo, J. R. Whinnery, and T. Van Duzer, Fields and Waves in Communication Electronics (Wiley, 1965).

K. Yasumoto, H. Jia, and K. Sun, “Rigorous analysis of two-dimensional photonic crystal waveguide,” Radio Sci. 40, 1–7 (2005).

[CrossRef]

Y. Zhao and Y. Hao, “Finite-difference time-domain study of guided modes in nano-plasmonic waveguides,” IEEE Trans. Antennas Propag. 55, 3070–3077 (2007).

[CrossRef]

E. Istrate and E. H. Sargent, “Photonic crystal waveguide analysis using interface boundary conditions,” IEEE J. Quantum Electron. 41, 461–467 (2005).

[CrossRef]

W. Kuang, W. J. Kim, A. Mock, and J. O’Brien, “Propagation loss of line-defect photonic crystal slab waveguides,” IEEE J. Sel. Top. Quantum Electron. 12, 1183–1195 (2006).

[CrossRef]

C. Sauvan, P. Lalanne, J. C. Rodier, J. P. Hugonin, and A. Talneau, “Accurate modeling of line-defect photonic crystal waveguides,” IEEE Photon. Technol. Lett. 15, 1243–1245 (2003).

[CrossRef]

Y. Zhao and Y. Hao, “Finite-difference time-domain study of guided modes in nano-plasmonic waveguides,” IEEE Trans. Antennas Propag. 55, 3070–3077 (2007).

[CrossRef]

Z. Szabó, G. Kádár, and J. Volk, “Band gaps in photonic crystals with dispersion,” Int. J. Comput. Math. Electr. Electron. Eng. (COMPEL) 24, 521–533 (2005).

[CrossRef]

P. Sarrafi, A. Naqavi, K. Mehrany, S. Khorasani, and B. Rashidian, “An efficient approach toward guided mode extraction in two-dimensional photonic crystals,” Opt. Commun. 281, 2826–2833 (2008).

[CrossRef]

S. G. Johnson, P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, “Linear waveguides in photonic-crystal slabs,” Phys. Rev. B 62, 8212–8222 (2000).

[CrossRef]

A. Khelif, B. Djafari-Rouhani, J. O. Vasseur, P. A. Deymier, Ph. Lambin, and L. Dobrzynski, “Transmittivity through straight and stublike waveguides in a two-dimensional phononic crystal,” Phys. Rev. B 65, 174308 (2002).

[CrossRef]

K. Yasumoto, H. Jia, and K. Sun, “Rigorous analysis of two-dimensional photonic crystal waveguide,” Radio Sci. 40, 1–7 (2005).

[CrossRef]

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

P. G. Ciarlet, The Finite Element Method for Elliptic Problems (Society for Industrial and Applied Mathematics, 2002).

R. Sorrentino, “Transverse resonance technique,” in Numerical Techniques for Microwave and Millimeter—Wave Passive Structures, T. Itoh, ed. (Wiley, 1989), Chap. 1L.

T. Rozzi and M. Mongiardo, Open Electromagnetic Waveguides (The Institution of Electrical Engineers, 1997), pp. 135–141.

A. H. Hosseinnia, “Migration of eigenmodes in photonic and quantum-well structures,” MSc thesis (Sharif University of Technology, 2008).

S. Ramo, J. R. Whinnery, and T. Van Duzer, Fields and Waves in Communication Electronics (Wiley, 1965).

E. Loewen and E. Popov, Diffraction Gratings and Applications (Dekker, 1997).

A. Khavasi, N. Habibi, A. H. Hosseinnia, and K. Mehrany, “A transmission line model for extraction of defect modes in two-dimensional photonic crystals,” in 2010 International Conference on Photonics (ICP) (IEEE, 2010), pp. 1–3.

G. Lifante, Integrated Photonics Fundamentals (Wiley, 2003).

A. Agrawal and J. H. Lang, Foundations of Analog and Digital Electronic Circuits (Elsevier, 2005).