J. Xia, J. Yu, "New finite-difference scheme for simulations of step-index
waveguides with tilt interfaces," IEEE Photon.
Technol. Lett. 15, 1237-1239 (2003).

Y.-C. Chiang, Y.-P. Chiou, H.-C. Chang, "Improved full-vectorial finite-difference mode solver for
optical waveguides with step-index profiles," IEEE
J. Lightw. Technol. 20, 1609-1618 (2002).

L. Shen, S. He, S. Xiao, "A finite-difference eigenvalue
algorithm for calculating the band structure of a photonic crystal," Comput. Phys. Commun. 143, 213-221 (2002).

Z. Zhu, T. G. Brown, "Full-vectorial
finite-difference analysis of microstructured optical fibers," Opt. Express 10, 853-864 (2002).

Y.-P. Chiou, Y.-C. Chiang, H.-C. Chang, "Improved three-point formulas considering the interface
conditions in the finite-difference analysis of step-index optical devices," IEEE J. Lightw. Technol. 18, 243-251 (2000).

M. Qiu, S. He, "A
nonorthogonal finite-difference time-domain method for computing the band
structure of a two-dimensional photonic crystal with dielectric and metallic
inclusions," J. Appl. Phys. 87, 8268-8275 (2000).

H. Y. D. Yang, "Finite difference analysis of 2-D photonic
crystals," IEEE Trans. Microw. Theory Technol. 44, 2688-2695 (1996).

C. T. Chan, Q. L. Yu, K. M. Ho, "Order-N
spectral method for electromagnetic waves," Phys.
Rev. B 51, 16635-16642 (1995).

G. R. Hadley, R. E. Smith, "Full-vector waveguide modeling using an iterative finite-difference
method with transparent boundary conditions," J.
Lightw. Technol. 13, 465-469 (1995).

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

C. Vassallo, "Improvement of finite difference methods for step-index
optical waveguides," Inst. Elec. Eng. Proc.–J. 139, 137-142 (1992).

R. D. Meade, K. D. Brommer, A. M. Rappe, J. D. Joannopoulos, "Existence of a photonic band gap in two dimensions," Appl. Phys. Lett. 61, 495-497 (1992).

M. Plihal, A. A. Maradudin, "Photonic band structure of two-dimensional systems: The
triangular lattice," Phys. Rev. B 44, 8565-8571 (1991).

K. M. Ho, C. T. Chan, C. M. Soukoulis, "Existence of a photonic gap in periodic dielectric structures," Phys. Rev. Lett. 65, 3152-3155 (1990).

M. S. Stern, "Semivectorial polarized finite difference method for optical
waveguides with arbitrary index profiles," Inst.
Elect. Eng. Proc.–J. Optoelectron. 135, 56-63 (1988).

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

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

K. Bierwirth, N. Schulz, F. Arndt, "Finite-difference analysis of rectangular dielectric waveguide
structures," IEEE Trans. Microw. Theory Technol. 34, 1104-1114 (1986).

R. D. Meade, K. D. Brommer, A. M. Rappe, J. D. Joannopoulos, "Existence of a photonic band gap in two dimensions," Appl. Phys. Lett. 61, 495-497 (1992).

L. Shen, S. He, S. Xiao, "A finite-difference eigenvalue
algorithm for calculating the band structure of a photonic crystal," Comput. Phys. Commun. 143, 213-221 (2002).

Y.-C. Chiang, Y.-P. Chiou, H.-C. Chang, "Improved full-vectorial finite-difference mode solver for
optical waveguides with step-index profiles," IEEE
J. Lightw. Technol. 20, 1609-1618 (2002).

Y.-P. Chiou, Y.-C. Chiang, H.-C. Chang, "Improved three-point formulas considering the interface
conditions in the finite-difference analysis of step-index optical devices," IEEE J. Lightw. Technol. 18, 243-251 (2000).

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

J. Xia, J. Yu, "New finite-difference scheme for simulations of step-index
waveguides with tilt interfaces," IEEE Photon.
Technol. Lett. 15, 1237-1239 (2003).

K. Bierwirth, N. Schulz, F. Arndt, "Finite-difference analysis of rectangular dielectric waveguide
structures," IEEE Trans. Microw. Theory Technol. 34, 1104-1114 (1986).

H. Y. D. Yang, "Finite difference analysis of 2-D photonic
crystals," IEEE Trans. Microw. Theory Technol. 44, 2688-2695 (1996).

M. S. Stern, "Semivectorial polarized finite difference method for optical
waveguides with arbitrary index profiles," Inst.
Elect. Eng. Proc.–J. Optoelectron. 135, 56-63 (1988).

C. Vassallo, "Improvement of finite difference methods for step-index
optical waveguides," Inst. Elec. Eng. Proc.–J. 139, 137-142 (1992).

G. R. Hadley, R. E. Smith, "Full-vector waveguide modeling using an iterative finite-difference
method with transparent boundary conditions," J.
Lightw. Technol. 13, 465-469 (1995).

M. Qiu, S. He, "A
nonorthogonal finite-difference time-domain method for computing the band
structure of a two-dimensional photonic crystal with dielectric and metallic
inclusions," J. Appl. Phys. 87, 8268-8275 (2000).

C. T. Chan, Q. L. Yu, K. M. Ho, "Order-N
spectral method for electromagnetic waves," Phys.
Rev. B 51, 16635-16642 (1995).

M. Plihal, A. A. Maradudin, "Photonic band structure of two-dimensional systems: The
triangular lattice," Phys. Rev. B 44, 8565-8571 (1991).

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

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

K. M. Ho, C. T. Chan, C. M. Soukoulis, "Existence of a photonic gap in periodic dielectric structures," Phys. Rev. Lett. 65, 3152-3155 (1990).

S. G. Johnson, J. D. Joannopoulos, “The
MIT photonic-bands package home page,” (2007) http://ab-initio.mit.edu/mpb/.