S. S. A. Obayya, B. M. A. Rahman, K. T. V. Grattan, and H. A. El-Mikati, "Full vectorial finite-element-based imaginary distance beam propagation solution of complex modes in optical waveguides," J. Lightwave Technol. 20, 1054-1060 (2002).

[CrossRef]

K. Mehrany and S. Khorasani, "Analytical solution of nonhomogeneous anisotropic wave equations based on differential transfer matrix method," J. Opt. A Pure Appl. Opt. 4, 624-635 (2002).

[CrossRef]

T. Hyouguchi, S. Adachi, and M. Ueda, "Divergence-free WKB method," Phys. Rev. Lett. 88, 170404-1-170404-4 (2002).

[CrossRef]

J. C.G. de Sande, G. Leo, and G. Assanto, "Phase-matching engineering in birefringent AlGaAs waveguides for difference frequency generation," J. Lightwave Technol. 20, 651-660 (2002).

T. Ishigure, S. Tanaka, E. Kobayashi, and Y. Koike, "Accurate refractive index profiling in a graded-index plastic optical fiber exceeding gigabit transmission rates," J. Lightwave Technol. 20, 1449-1456 (2002).

[CrossRef]

C. Thompson and B. L. Weiss, "Modal characteristics of graded multilayer optical waveguides," J. Lightwave Technol. 14, 894-900 (1996).

F. Xiang and G. L. Yip, "A modified WKB method for the improved phase shift at a turning point," J. Lightwave Technol. 12, 443-452 (1994).

[CrossRef]

J. B. Pendry and A. MacKinnon, "Calculation of photon dispersion relations," Phys. Rev. Lett. 69, 2772-2775 (1992).

[CrossRef]

J. Wang and L. Qiao, "A refined WKB method for symmetric planar waveguides with truncated-index profiles and graded-index profiles," IEEE J. Quantum Electron. 27, 878-883 (1991).

P. K. Mishra and A. Sharma, "Analysis of single mode inhomogeneous planar waveguides," J. Lightwave Technol. 4, 204-212 (1986).

V. Ramaswamy and R. K. Lagu, "Numerical field solutions for an arbitrary asymmetrical graded-index planar waveguide," J. Lightwave Technol. LT-1, 408-416 (1983).

J. P. Memuer, J. Pigeon, and J. N. Massot, "A numerical technique for determination of propagation characteristics of inhomogeneous planar optical waveguides," Opt. Quantum Electron. 15, 77-85 (1983).

[CrossRef]

L. C. Botten and M. S. Craig, "Complex zeros of analytic functions," Comput. Phys. Commun. 29, 245-259 (1983).

[CrossRef]

J. Janta and J. Ctyroky, "On the accuracy of WKB analysis of TE and TM modes in planar graded-index waveguides," Opt. Commun. 25, 49-52 (1978).

[CrossRef]

A. Kumar, K. ThyagaraJan, and A. K. Ghatak, "Modes in inhomogeneous slab waveguides," IEEE J. Quantum Electron. 10, 902-904 (1974).

E. M. Conwell, "Modes in optical waveguides formed by diffusion," Appl. Phys. Lett. 23, 328-329 (1973).

[CrossRef]

L. M. Delves and J. N. Lyness, "A numerical method for locating the zeros of an analytic function," Math. Comput. 21, 543-560 (1967).

T. Hyouguchi, S. Adachi, and M. Ueda, "Divergence-free WKB method," Phys. Rev. Lett. 88, 170404-1-170404-4 (2002).

[CrossRef]

S. Khorasani and A. Adibi, "Analytical solution of linear ordinary differential equations by differential transfer matrix method," Electron. J. Differ. Equations 2003, 1-18 (2003).

M. Born and E. Wolf, Principles of Optics (Pergamon, 1980).

L. C. Botten and M. S. Craig, "Complex zeros of analytic functions," Comput. Phys. Commun. 29, 245-259 (1983).

[CrossRef]

L. Brillouin, Wave Propagation in Periodic Structures (McGraw-Hill, 1946).

M. Chamanzar, K. Mehrany, and B. Rashidian, "Polynomial expansion of electromagnetic fields for grating diffraction analysis," in Proceedings of the 2004 International Symposium on Antennas and Propagation (Institute of Electronics, Information and Communication Engineers, 2004), pp. 161-164.

J. L. Volakis, A. Chatterjee, and L. C. Kempel, Finite Element Method for Electromagnetics (IEEE Press, 1998).

E. M. Conwell, "Modes in optical waveguides formed by diffusion," Appl. Phys. Lett. 23, 328-329 (1973).

[CrossRef]

L. C. Botten and M. S. Craig, "Complex zeros of analytic functions," Comput. Phys. Commun. 29, 245-259 (1983).

[CrossRef]

J. Janta and J. Ctyroky, "On the accuracy of WKB analysis of TE and TM modes in planar graded-index waveguides," Opt. Commun. 25, 49-52 (1978).

[CrossRef]

L. M. Delves and J. N. Lyness, "A numerical method for locating the zeros of an analytic function," Math. Comput. 21, 543-560 (1967).

N. Froman and P. O. Froman, JWKB Approximation: Contributions to the Theory (North-Holland, 1965).

N. Froman and P. O. Froman, JWKB Approximation: Contributions to the Theory (North-Holland, 1965).

A. Kumar, K. ThyagaraJan, and A. K. Ghatak, "Modes in inhomogeneous slab waveguides," IEEE J. Quantum Electron. 10, 902-904 (1974).

T. Hyouguchi, S. Adachi, and M. Ueda, "Divergence-free WKB method," Phys. Rev. Lett. 88, 170404-1-170404-4 (2002).

[CrossRef]

J. Janta and J. Ctyroky, "On the accuracy of WKB analysis of TE and TM modes in planar graded-index waveguides," Opt. Commun. 25, 49-52 (1978).

[CrossRef]

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

J. L. Volakis, A. Chatterjee, and L. C. Kempel, Finite Element Method for Electromagnetics (IEEE Press, 1998).

A. Kumar, K. ThyagaraJan, and A. K. Ghatak, "Modes in inhomogeneous slab waveguides," IEEE J. Quantum Electron. 10, 902-904 (1974).

K. Kunz and R. Luebbers, eds., The Finite Difference Time Domain Method for Electromagnetics (CRC Press, 1993).

V. Ramaswamy and R. K. Lagu, "Numerical field solutions for an arbitrary asymmetrical graded-index planar waveguide," J. Lightwave Technol. LT-1, 408-416 (1983).

K. Kunz and R. Luebbers, eds., The Finite Difference Time Domain Method for Electromagnetics (CRC Press, 1993).

L. M. Delves and J. N. Lyness, "A numerical method for locating the zeros of an analytic function," Math. Comput. 21, 543-560 (1967).

J. B. Pendry and A. MacKinnon, "Calculation of photon dispersion relations," Phys. Rev. Lett. 69, 2772-2775 (1992).

[CrossRef]

J. P. Memuer, J. Pigeon, and J. N. Massot, "A numerical technique for determination of propagation characteristics of inhomogeneous planar optical waveguides," Opt. Quantum Electron. 15, 77-85 (1983).

[CrossRef]

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

M. H. Eghlidi, K. Mehrany, and B. Rashidian, "Modified differential-transfer-matrix method for solution of one-dimensional linear inhomogeneous optical structures," J. Opt. Soc. Am. B 22, 1521-1528 (2005).

S. Khorasani and K. Mehrany, "Differential transfer-matrix method for solution of one-dimensional linear nonhomogeneous optical structures," J. Opt. Soc. Am. B 20, 91-96 (2003).

K. Mehrany and B. Rashidian, "Polynomial expansion of electromagnetic eigenmodes in layered structures," J. Opt. Soc. Am. B 20, 2434-2441 (2003).

K. Mehrany and S. Khorasani, "Analytical solution of nonhomogeneous anisotropic wave equations based on differential transfer matrix method," J. Opt. A Pure Appl. Opt. 4, 624-635 (2002).

[CrossRef]

M. Chamanzar, K. Mehrany, and B. Rashidian, "Polynomial expansion of electromagnetic fields for grating diffraction analysis," in Proceedings of the 2004 International Symposium on Antennas and Propagation (Institute of Electronics, Information and Communication Engineers, 2004), pp. 161-164.

J. P. Memuer, J. Pigeon, and J. N. Massot, "A numerical technique for determination of propagation characteristics of inhomogeneous planar optical waveguides," Opt. Quantum Electron. 15, 77-85 (1983).

[CrossRef]

P. K. Mishra and A. Sharma, "Analysis of single mode inhomogeneous planar waveguides," J. Lightwave Technol. 4, 204-212 (1986).

J. B. Pendry and A. MacKinnon, "Calculation of photon dispersion relations," Phys. Rev. Lett. 69, 2772-2775 (1992).

[CrossRef]

J. P. Memuer, J. Pigeon, and J. N. Massot, "A numerical technique for determination of propagation characteristics of inhomogeneous planar optical waveguides," Opt. Quantum Electron. 15, 77-85 (1983).

[CrossRef]

J. H. Simmons and K. S. Potter, Optical Materials (Academic, 2000).

J. Wang and L. Qiao, "A refined WKB method for symmetric planar waveguides with truncated-index profiles and graded-index profiles," IEEE J. Quantum Electron. 27, 878-883 (1991).

V. Ramaswamy and R. K. Lagu, "Numerical field solutions for an arbitrary asymmetrical graded-index planar waveguide," J. Lightwave Technol. LT-1, 408-416 (1983).

M. H. Eghlidi, K. Mehrany, and B. Rashidian, "Modified differential-transfer-matrix method for solution of one-dimensional linear inhomogeneous optical structures," J. Opt. Soc. Am. B 22, 1521-1528 (2005).

K. Mehrany and B. Rashidian, "Polynomial expansion of electromagnetic eigenmodes in layered structures," J. Opt. Soc. Am. B 20, 2434-2441 (2003).

M. Chamanzar, K. Mehrany, and B. Rashidian, "Polynomial expansion of electromagnetic fields for grating diffraction analysis," in Proceedings of the 2004 International Symposium on Antennas and Propagation (Institute of Electronics, Information and Communication Engineers, 2004), pp. 161-164.

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

P. K. Mishra and A. Sharma, "Analysis of single mode inhomogeneous planar waveguides," J. Lightwave Technol. 4, 204-212 (1986).

J. H. Simmons and K. S. Potter, Optical Materials (Academic, 2000).

C. Thompson and B. L. Weiss, "Modal characteristics of graded multilayer optical waveguides," J. Lightwave Technol. 14, 894-900 (1996).

A. Kumar, K. ThyagaraJan, and A. K. Ghatak, "Modes in inhomogeneous slab waveguides," IEEE J. Quantum Electron. 10, 902-904 (1974).

T. Hyouguchi, S. Adachi, and M. Ueda, "Divergence-free WKB method," Phys. Rev. Lett. 88, 170404-1-170404-4 (2002).

[CrossRef]

J. L. Volakis, A. Chatterjee, and L. C. Kempel, Finite Element Method for Electromagnetics (IEEE Press, 1998).

J. Wang and L. Qiao, "A refined WKB method for symmetric planar waveguides with truncated-index profiles and graded-index profiles," IEEE J. Quantum Electron. 27, 878-883 (1991).

C. Thompson and B. L. Weiss, "Modal characteristics of graded multilayer optical waveguides," J. Lightwave Technol. 14, 894-900 (1996).

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

M. Born and E. Wolf, Principles of Optics (Pergamon, 1980).

F. Xiang and G. L. Yip, "A modified WKB method for the improved phase shift at a turning point," J. Lightwave Technol. 12, 443-452 (1994).

[CrossRef]

A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, 1984).

A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, 1984).

P. Yeh, Optical Waves in Layered Media (Wiley, 1988).

F. Xiang and G. L. Yip, "A modified WKB method for the improved phase shift at a turning point," J. Lightwave Technol. 12, 443-452 (1994).

[CrossRef]

E. M. Conwell, "Modes in optical waveguides formed by diffusion," Appl. Phys. Lett. 23, 328-329 (1973).

[CrossRef]

L. C. Botten and M. S. Craig, "Complex zeros of analytic functions," Comput. Phys. Commun. 29, 245-259 (1983).

[CrossRef]

S. Khorasani and A. Adibi, "Analytical solution of linear ordinary differential equations by differential transfer matrix method," Electron. J. Differ. Equations 2003, 1-18 (2003).

J. Wang and L. Qiao, "A refined WKB method for symmetric planar waveguides with truncated-index profiles and graded-index profiles," IEEE J. Quantum Electron. 27, 878-883 (1991).

A. Kumar, K. ThyagaraJan, and A. K. Ghatak, "Modes in inhomogeneous slab waveguides," IEEE J. Quantum Electron. 10, 902-904 (1974).

F. Xiang and G. L. Yip, "A modified WKB method for the improved phase shift at a turning point," J. Lightwave Technol. 12, 443-452 (1994).

[CrossRef]

C. Thompson and B. L. Weiss, "Modal characteristics of graded multilayer optical waveguides," J. Lightwave Technol. 14, 894-900 (1996).

J. C.G. de Sande, G. Leo, and G. Assanto, "Phase-matching engineering in birefringent AlGaAs waveguides for difference frequency generation," J. Lightwave Technol. 20, 651-660 (2002).

T. Ishigure, S. Tanaka, E. Kobayashi, and Y. Koike, "Accurate refractive index profiling in a graded-index plastic optical fiber exceeding gigabit transmission rates," J. Lightwave Technol. 20, 1449-1456 (2002).

[CrossRef]

Y. Tsuji and M. Koshiba, "Guided-mode and leaky-mode analysis by imaginary distance beam propagation method based on finite element scheme," J. Lightwave Technol. 18, 618-623 (2000).

S. S. A. Obayya, B. M. A. Rahman, K. T. V. Grattan, and H. A. El-Mikati, "Full vectorial finite-element-based imaginary distance beam propagation solution of complex modes in optical waveguides," J. Lightwave Technol. 20, 1054-1060 (2002).

[CrossRef]

V. Ramaswamy and R. K. Lagu, "Numerical field solutions for an arbitrary asymmetrical graded-index planar waveguide," J. Lightwave Technol. LT-1, 408-416 (1983).

P. K. Mishra and A. Sharma, "Analysis of single mode inhomogeneous planar waveguides," J. Lightwave Technol. 4, 204-212 (1986).

K. Mehrany and S. Khorasani, "Analytical solution of nonhomogeneous anisotropic wave equations based on differential transfer matrix method," J. Opt. A Pure Appl. Opt. 4, 624-635 (2002).

[CrossRef]

S. Khorasani and K. Mehrany, "Differential transfer-matrix method for solution of one-dimensional linear nonhomogeneous optical structures," J. Opt. Soc. Am. B 20, 91-96 (2003).

M. H. Eghlidi, K. Mehrany, and B. Rashidian, "Modified differential-transfer-matrix method for solution of one-dimensional linear inhomogeneous optical structures," J. Opt. Soc. Am. B 22, 1521-1528 (2005).

K. Mehrany and B. Rashidian, "Polynomial expansion of electromagnetic eigenmodes in layered structures," J. Opt. Soc. Am. B 20, 2434-2441 (2003).

L. M. Delves and J. N. Lyness, "A numerical method for locating the zeros of an analytic function," Math. Comput. 21, 543-560 (1967).

J. Janta and J. Ctyroky, "On the accuracy of WKB analysis of TE and TM modes in planar graded-index waveguides," Opt. Commun. 25, 49-52 (1978).

[CrossRef]

J. P. Memuer, J. Pigeon, and J. N. Massot, "A numerical technique for determination of propagation characteristics of inhomogeneous planar optical waveguides," Opt. Quantum Electron. 15, 77-85 (1983).

[CrossRef]

J. B. Pendry and A. MacKinnon, "Calculation of photon dispersion relations," Phys. Rev. Lett. 69, 2772-2775 (1992).

[CrossRef]

T. Hyouguchi, S. Adachi, and M. Ueda, "Divergence-free WKB method," Phys. Rev. Lett. 88, 170404-1-170404-4 (2002).

[CrossRef]

A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, 1984).

P. Yeh, Optical Waves in Layered Media (Wiley, 1988).

J. H. Simmons and K. S. Potter, Optical Materials (Academic, 2000).

K. Kunz and R. Luebbers, eds., The Finite Difference Time Domain Method for Electromagnetics (CRC Press, 1993).

J. L. Volakis, A. Chatterjee, and L. C. Kempel, Finite Element Method for Electromagnetics (IEEE Press, 1998).

N. Froman and P. O. Froman, JWKB Approximation: Contributions to the Theory (North-Holland, 1965).

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

L. Brillouin, Wave Propagation in Periodic Structures (McGraw-Hill, 1946).

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

M. Chamanzar, K. Mehrany, and B. Rashidian, "Polynomial expansion of electromagnetic fields for grating diffraction analysis," in Proceedings of the 2004 International Symposium on Antennas and Propagation (Institute of Electronics, Information and Communication Engineers, 2004), pp. 161-164.

M. Born and E. Wolf, Principles of Optics (Pergamon, 1980).