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[CrossRef]
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S. V. Georgakopoulos, C. R. Birtcher, C. A. Balanis, and R. A. Renaut, "Higher-order finite-difference schemes for electromagnetic radiation, scattering, and penetration, part I: Theory," IEEE Antennas Propag. Magazine 44, 134-142 (2002).

[CrossRef]

T. Hirono, Y. Yoshikuni, and Y. Shibata, "Third-order effective permittivities for the 4th-order FDTD method in the 2D TM polarization case," in Physics and Simulation of Optoelectronic Devices X, P. Blood, M. Osinski, and Y. Arakawa, eds., Proc. SPIE 4646, 630-640 (2002).

[CrossRef]

A. Yefet and P. G. Petropoulos, "A staggered fourth-order accurate explicit finite difference scheme for the time-domain Maxwell's equations," J. Comput. Phys. 168, 286-315 (2001).

[CrossRef]

A. Ditkowski, K. Dridi, and J. S. Hesthaven, "Convergent Cartesian grid methods for Maxwell's equations in complex geometries," J. Comput. Phys. 170, 39-80 (2001).

[CrossRef]

K. H. Dridi, J. S. Hesthaven, and A. Ditkowski, "Staircase-free finite-difference time-domain formulation for general materials in complex geometries," IEEE Trans. Antennas Propag. 49, 749-756 (2001).

[CrossRef]

T. Hirono, W. Lui, S. Seki, and Y. Yoshikuni, "A three-dimensional fourth-order finite-difference time-domain scheme using a symplectic integrator propagator," IEEE Trans. Microwave Theory Tech. 49, 1640-1648 (2001).

[CrossRef]

T. Hirono, Y. Shibata, W. W. Lui, S. Scki, and Y. Yoshikuni, "The second-order condition for the dielectric interface orthogonal to the Yee-lattice axis in the FDTD scheme," IEEE Microw. Guid. Wave Lett. 10, 359-361 (2000).

[CrossRef]

W.-H. Guo, Y.-Z. Huang, and Q.-M. Wang, "Resonant frequencies and quality factors for optical equilateral triangle resonators calculated by FDTD technique and the Pade approximation," IEEE Photon. Technol. Lett. 12, 813-815 (2000).

[CrossRef]

M. Qiu and S. He, "Numerical method for computing defect modes in two-dimensional photonic crystals with dielectric or metallic inclusions," Phys. Rev. B 61, 12871-12876 (2000).

[CrossRef]

R. U. Ahmad, F. Pizzuto, G. S. Camarda, R. L. Espinola, H. Rao, and R. M. Osgood, "Resonant frequencies and quality factors for optical equilateral triangle resonators calculated by FDTD technique and the Pade approximation," IEEE Photon. Technol. Lett. 14, 65-67 (2000).

[CrossRef]

B. E. Little, J. S. Foresi, G. Steinmeyer, E. R. Thoen, S. T. Chu, H. A. Haus, E. P. Ippen, L. C. Kimerling, and W. Greene, "Ultra-compact Si-SiO_{2} microring resonator optical channel dropping filters," IEEE Photon. Technol. Lett. 10, 549-551 (1998).

[CrossRef]

J. Yamauchi, H. Kanbara, and H. Nakano, "Analysis of optical waveguides with high-reflection coatings using the FD-TD method," IEEE Photon. Technol. Lett. 10, 111-113 (1998).

[CrossRef]

C. Zhang and R. J. LeVeque, "The immersed interface method for acoustic wave equations with discontinuous coefficients," Wave Motion 25, 237-263 (1997).

[CrossRef]

J. L. Young, D. Gaitonde, and J. J. S. Shang, "Toward the construction of a fourth-order difference scheme for transient EM wave simulation: staggered grid approach," IEEE Trans. Antennas Propag. 45, 1573-1580 (1997).

[CrossRef]

M. F. Hadi and M. Piket-May, "A modified FDTD (2, 4) scheme for modeling electrically large structures with high-phase accuracy," IEEE Trans. Antennas Propag. 45, 254-264 (1997).

[CrossRef]

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "High transmission through sharp bends in photonic crystal waveguides," Phys. Rev. Lett. 77, 3787-3790 (1996).

[CrossRef]
[PubMed]

J. C. Chen, A. Haus, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "Optical filters from photonic band gap air bridges," J. Lightwave Technol. 14, 2575-2580 (1996).

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[CrossRef]

S. T. Chu, W. P. Huang, and S. K. Chaudhuri, "Simulation and analysis of waveguide based optical integrated circuits," Comput. Phys. Commun. 68, 451-484 (1991).

[CrossRef]

W. P. Huang, S. T. Chu, A. Goss, and S. K. Chaudhuri, "A scalar finite-difference time-domain approach to guided-wave optics," IEEE Photon. Technol. Lett. 3, 524-526 (1991).

[CrossRef]

S. M. Lee, W. C. Chew, M. Moghaddam, M. A. Nasir, S-L. Chuang, R. W. Herrick, and C. L. Balestra. "Modeling of rough-surface effects in an optical turning mirror using the finite-difference time-domain method," J. Lightwave Technol. 9, 1471-1480 (1991).

[CrossRef]

S. T. Chu and S. K. Chaudhuri, "A finite-difference time-domain method for the design and analysis of guided-wave optical structures," J. Lightwave Technol. 7, 2033-2038 (1989).

[CrossRef]

K. S. Yee, "Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media," IEEE Trans. Antennas Propag. AP-14, 302-307 (1966).

R. U. Ahmad, F. Pizzuto, G. S. Camarda, R. L. Espinola, H. Rao, and R. M. Osgood, "Resonant frequencies and quality factors for optical equilateral triangle resonators calculated by FDTD technique and the Pade approximation," IEEE Photon. Technol. Lett. 14, 65-67 (2000).

[CrossRef]

S. V. Georgakopoulos, C. R. Birtcher, C. A. Balanis, and R. A. Renaut, "Higher-order finite-difference schemes for electromagnetic radiation, scattering, and penetration, part I: Theory," IEEE Antennas Propag. Magazine 44, 134-142 (2002).

[CrossRef]

S. M. Lee, W. C. Chew, M. Moghaddam, M. A. Nasir, S-L. Chuang, R. W. Herrick, and C. L. Balestra. "Modeling of rough-surface effects in an optical turning mirror using the finite-difference time-domain method," J. Lightwave Technol. 9, 1471-1480 (1991).

[CrossRef]

T. Deveze, L. Beaulieu, and W. Tabbara, "A fourth-order scheme for the FDTD algorithm applied to Maxwell's equations," in IEEE Antennas Propagation Society International Symposium (IEEE, 1992), pp. 346-349.

J.-P. Berenger, "A perfectly matched layer for the absorption of electromagnetic waves," J. Comput. Phys. 114, 185-200 (1994).

[CrossRef]

S. V. Georgakopoulos, C. R. Birtcher, C. A. Balanis, and R. A. Renaut, "Higher-order finite-difference schemes for electromagnetic radiation, scattering, and penetration, part I: Theory," IEEE Antennas Propag. Magazine 44, 134-142 (2002).

[CrossRef]

A. Byers, I. Rumsey, Z. Popovic, and M. Piket-May, "Surface-wave guiding using periodic structures," in IEEE Antennas Propagation Society International Symposium (IEEE, 2000), Vol. 1, pp. 342-345.

W. Cai and S. Deng, "An upwinding embedded boundary method for Maxwell's equations in media with material interfaces: 2D case," J. Comput. Phys. 190, 159-183 (2003).

[CrossRef]

R. U. Ahmad, F. Pizzuto, G. S. Camarda, R. L. Espinola, H. Rao, and R. M. Osgood, "Resonant frequencies and quality factors for optical equilateral triangle resonators calculated by FDTD technique and the Pade approximation," IEEE Photon. Technol. Lett. 14, 65-67 (2000).

[CrossRef]

M. Celuch-Marcysiak and W. K. Gwarek, "Higher-order modelling of media interfaces for enhanced FDTD analysis of microwave circuits," in Proceedings of the 24th European Microwave Conference (1994), pp. 1530-1535.

S. T. Chu, W. P. Huang, and S. K. Chaudhuri, "Simulation and analysis of waveguide based optical integrated circuits," Comput. Phys. Commun. 68, 451-484 (1991).

[CrossRef]

W. P. Huang, S. T. Chu, A. Goss, and S. K. Chaudhuri, "A scalar finite-difference time-domain approach to guided-wave optics," IEEE Photon. Technol. Lett. 3, 524-526 (1991).

[CrossRef]

S. T. Chu and S. K. Chaudhuri, "A finite-difference time-domain method for the design and analysis of guided-wave optical structures," J. Lightwave Technol. 7, 2033-2038 (1989).

[CrossRef]

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "High transmission through sharp bends in photonic crystal waveguides," Phys. Rev. Lett. 77, 3787-3790 (1996).

[CrossRef]
[PubMed]

J. C. Chen, A. Haus, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "Optical filters from photonic band gap air bridges," J. Lightwave Technol. 14, 2575-2580 (1996).

[CrossRef]

S. M. Lee, W. C. Chew, M. Moghaddam, M. A. Nasir, S-L. Chuang, R. W. Herrick, and C. L. Balestra. "Modeling of rough-surface effects in an optical turning mirror using the finite-difference time-domain method," J. Lightwave Technol. 9, 1471-1480 (1991).

[CrossRef]

B. E. Little, J. S. Foresi, G. Steinmeyer, E. R. Thoen, S. T. Chu, H. A. Haus, E. P. Ippen, L. C. Kimerling, and W. Greene, "Ultra-compact Si-SiO_{2} microring resonator optical channel dropping filters," IEEE Photon. Technol. Lett. 10, 549-551 (1998).

[CrossRef]

S. T. Chu, W. P. Huang, and S. K. Chaudhuri, "Simulation and analysis of waveguide based optical integrated circuits," Comput. Phys. Commun. 68, 451-484 (1991).

[CrossRef]

W. P. Huang, S. T. Chu, A. Goss, and S. K. Chaudhuri, "A scalar finite-difference time-domain approach to guided-wave optics," IEEE Photon. Technol. Lett. 3, 524-526 (1991).

[CrossRef]

S. T. Chu and S. K. Chaudhuri, "A finite-difference time-domain method for the design and analysis of guided-wave optical structures," J. Lightwave Technol. 7, 2033-2038 (1989).

[CrossRef]

S. M. Lee, W. C. Chew, M. Moghaddam, M. A. Nasir, S-L. Chuang, R. W. Herrick, and C. L. Balestra. "Modeling of rough-surface effects in an optical turning mirror using the finite-difference time-domain method," J. Lightwave Technol. 9, 1471-1480 (1991).

[CrossRef]

W. Cai and S. Deng, "An upwinding embedded boundary method for Maxwell's equations in media with material interfaces: 2D case," J. Comput. Phys. 190, 159-183 (2003).

[CrossRef]

T. Deveze, L. Beaulieu, and W. Tabbara, "A fourth-order scheme for the FDTD algorithm applied to Maxwell's equations," in IEEE Antennas Propagation Society International Symposium (IEEE, 1992), pp. 346-349.

A. Ditkowski, K. Dridi, and J. S. Hesthaven, "Convergent Cartesian grid methods for Maxwell's equations in complex geometries," J. Comput. Phys. 170, 39-80 (2001).

[CrossRef]

K. H. Dridi, J. S. Hesthaven, and A. Ditkowski, "Staircase-free finite-difference time-domain formulation for general materials in complex geometries," IEEE Trans. Antennas Propag. 49, 749-756 (2001).

[CrossRef]

A. Ditkowski, K. Dridi, and J. S. Hesthaven, "Convergent Cartesian grid methods for Maxwell's equations in complex geometries," J. Comput. Phys. 170, 39-80 (2001).

[CrossRef]

K. H. Dridi, J. S. Hesthaven, and A. Ditkowski, "Staircase-free finite-difference time-domain formulation for general materials in complex geometries," IEEE Trans. Antennas Propag. 49, 749-756 (2001).

[CrossRef]

R. U. Ahmad, F. Pizzuto, G. S. Camarda, R. L. Espinola, H. Rao, and R. M. Osgood, "Resonant frequencies and quality factors for optical equilateral triangle resonators calculated by FDTD technique and the Pade approximation," IEEE Photon. Technol. Lett. 14, 65-67 (2000).

[CrossRef]

C. Manolatou, S. G. Johnson, S. Fan, P. R. Villeneuve, H. A. Haus, and J. D. Joannopoulos, "High-density integrated optics," J. Lightwave Technol. 17, 1682-1692 (1999).

[CrossRef]

J. C. Chen, A. Haus, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "Optical filters from photonic band gap air bridges," J. Lightwave Technol. 14, 2575-2580 (1996).

[CrossRef]

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "High transmission through sharp bends in photonic crystal waveguides," Phys. Rev. Lett. 77, 3787-3790 (1996).

[CrossRef]
[PubMed]

J. Fang, "Time domain finite difference computation for Maxwell's equations," Ph.D. dissertation (University of California at Berkeley, 1989).

B. E. Little, J. S. Foresi, G. Steinmeyer, E. R. Thoen, S. T. Chu, H. A. Haus, E. P. Ippen, L. C. Kimerling, and W. Greene, "Ultra-compact Si-SiO_{2} microring resonator optical channel dropping filters," IEEE Photon. Technol. Lett. 10, 549-551 (1998).

[CrossRef]

J. L. Young, D. Gaitonde, and J. J. S. Shang, "Toward the construction of a fourth-order difference scheme for transient EM wave simulation: staggered grid approach," IEEE Trans. Antennas Propag. 45, 1573-1580 (1997).

[CrossRef]

S. V. Georgakopoulos, C. R. Birtcher, C. A. Balanis, and R. A. Renaut, "Higher-order finite-difference schemes for electromagnetic radiation, scattering, and penetration, part I: Theory," IEEE Antennas Propag. Magazine 44, 134-142 (2002).

[CrossRef]

W. P. Huang, S. T. Chu, A. Goss, and S. K. Chaudhuri, "A scalar finite-difference time-domain approach to guided-wave optics," IEEE Photon. Technol. Lett. 3, 524-526 (1991).

[CrossRef]

B. E. Little, J. S. Foresi, G. Steinmeyer, E. R. Thoen, S. T. Chu, H. A. Haus, E. P. Ippen, L. C. Kimerling, and W. Greene, "Ultra-compact Si-SiO_{2} microring resonator optical channel dropping filters," IEEE Photon. Technol. Lett. 10, 549-551 (1998).

[CrossRef]

W.-H. Guo, Y.-Z. Huang, and Q.-M. Wang, "Resonant frequencies and quality factors for optical equilateral triangle resonators calculated by FDTD technique and the Pade approximation," IEEE Photon. Technol. Lett. 12, 813-815 (2000).

[CrossRef]

M. Celuch-Marcysiak and W. K. Gwarek, "Higher-order modelling of media interfaces for enhanced FDTD analysis of microwave circuits," in Proceedings of the 24th European Microwave Conference (1994), pp. 1530-1535.

M. F. Hadi and M. Piket-May, "A modified FDTD (2, 4) scheme for modeling electrically large structures with high-phase accuracy," IEEE Trans. Antennas Propag. 45, 254-264 (1997).

[CrossRef]

A. Taflove and S. C. Hagness, Computational Electrodynamics: the Finite-Difference Time-Domain Method, 2nd ed. (Artech House, 2000).

J. C. Chen, A. Haus, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "Optical filters from photonic band gap air bridges," J. Lightwave Technol. 14, 2575-2580 (1996).

[CrossRef]

C. Manolatou, S. G. Johnson, S. Fan, P. R. Villeneuve, H. A. Haus, and J. D. Joannopoulos, "High-density integrated optics," J. Lightwave Technol. 17, 1682-1692 (1999).

[CrossRef]

B. E. Little, J. S. Foresi, G. Steinmeyer, E. R. Thoen, S. T. Chu, H. A. Haus, E. P. Ippen, L. C. Kimerling, and W. Greene, "Ultra-compact Si-SiO_{2} microring resonator optical channel dropping filters," IEEE Photon. Technol. Lett. 10, 549-551 (1998).

[CrossRef]

M. Qiu and S. He, "Numerical method for computing defect modes in two-dimensional photonic crystals with dielectric or metallic inclusions," Phys. Rev. B 61, 12871-12876 (2000).

[CrossRef]

S. M. Lee, W. C. Chew, M. Moghaddam, M. A. Nasir, S-L. Chuang, R. W. Herrick, and C. L. Balestra. "Modeling of rough-surface effects in an optical turning mirror using the finite-difference time-domain method," J. Lightwave Technol. 9, 1471-1480 (1991).

[CrossRef]

A. Ditkowski, K. Dridi, and J. S. Hesthaven, "Convergent Cartesian grid methods for Maxwell's equations in complex geometries," J. Comput. Phys. 170, 39-80 (2001).

[CrossRef]

K. H. Dridi, J. S. Hesthaven, and A. Ditkowski, "Staircase-free finite-difference time-domain formulation for general materials in complex geometries," IEEE Trans. Antennas Propag. 49, 749-756 (2001).

[CrossRef]

T. Hirono, Y. Yoshikuni, and Y. Shibata, "Third-order effective permittivities for the 4th-order FDTD method in the 2D TM polarization case," in Physics and Simulation of Optoelectronic Devices X, P. Blood, M. Osinski, and Y. Arakawa, eds., Proc. SPIE 4646, 630-640 (2002).

[CrossRef]

T. Hirono, W. Lui, S. Seki, and Y. Yoshikuni, "A three-dimensional fourth-order finite-difference time-domain scheme using a symplectic integrator propagator," IEEE Trans. Microwave Theory Tech. 49, 1640-1648 (2001).

[CrossRef]

T. Hirono, Y. Shibata, W. W. Lui, S. Scki, and Y. Yoshikuni, "The second-order condition for the dielectric interface orthogonal to the Yee-lattice axis in the FDTD scheme," IEEE Microw. Guid. Wave Lett. 10, 359-361 (2000).

[CrossRef]

T. Hirono, W. W. Lui, and S. Seki, "Successful applications of PML-ABC to the symplectic FDTD scheme with 4th-order accuracy in time and space," in IEEE MTT-S International Microwave Symposium Digest (IEEE, 1999), pp. 1293-1296.

N. Feng, G. Zhou, and W. P. Huang, "Space mapping technique for design optimization of antireflection coatings in photonic devices," J. Lightwave Technol. 21, 281-285 (2003).

[CrossRef]

W. P. Huang, S. T. Chu, A. Goss, and S. K. Chaudhuri, "A scalar finite-difference time-domain approach to guided-wave optics," IEEE Photon. Technol. Lett. 3, 524-526 (1991).

[CrossRef]

S. T. Chu, W. P. Huang, and S. K. Chaudhuri, "Simulation and analysis of waveguide based optical integrated circuits," Comput. Phys. Commun. 68, 451-484 (1991).

[CrossRef]

W.-H. Guo, Y.-Z. Huang, and Q.-M. Wang, "Resonant frequencies and quality factors for optical equilateral triangle resonators calculated by FDTD technique and the Pade approximation," IEEE Photon. Technol. Lett. 12, 813-815 (2000).

[CrossRef]

B. E. Little, J. S. Foresi, G. Steinmeyer, E. R. Thoen, S. T. Chu, H. A. Haus, E. P. Ippen, L. C. Kimerling, and W. Greene, "Ultra-compact Si-SiO_{2} microring resonator optical channel dropping filters," IEEE Photon. Technol. Lett. 10, 549-551 (1998).

[CrossRef]

C. Manolatou, S. G. Johnson, S. Fan, P. R. Villeneuve, H. A. Haus, and J. D. Joannopoulos, "High-density integrated optics," J. Lightwave Technol. 17, 1682-1692 (1999).

[CrossRef]

J. C. Chen, A. Haus, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "Optical filters from photonic band gap air bridges," J. Lightwave Technol. 14, 2575-2580 (1996).

[CrossRef]

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "High transmission through sharp bends in photonic crystal waveguides," Phys. Rev. Lett. 77, 3787-3790 (1996).

[CrossRef]
[PubMed]

J. Yamauchi, H. Kanbara, and H. Nakano, "Analysis of optical waveguides with high-reflection coatings using the FD-TD method," IEEE Photon. Technol. Lett. 10, 111-113 (1998).

[CrossRef]

B. E. Little, J. S. Foresi, G. Steinmeyer, E. R. Thoen, S. T. Chu, H. A. Haus, E. P. Ippen, L. C. Kimerling, and W. Greene, "Ultra-compact Si-SiO_{2} microring resonator optical channel dropping filters," IEEE Photon. Technol. Lett. 10, 549-551 (1998).

[CrossRef]

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "High transmission through sharp bends in photonic crystal waveguides," Phys. Rev. Lett. 77, 3787-3790 (1996).

[CrossRef]
[PubMed]

S. M. Lee, W. C. Chew, M. Moghaddam, M. A. Nasir, S-L. Chuang, R. W. Herrick, and C. L. Balestra. "Modeling of rough-surface effects in an optical turning mirror using the finite-difference time-domain method," J. Lightwave Technol. 9, 1471-1480 (1991).

[CrossRef]

C. Zhang and R. J. LeVeque, "The immersed interface method for acoustic wave equations with discontinuous coefficients," Wave Motion 25, 237-263 (1997).

[CrossRef]

B. E. Little, J. S. Foresi, G. Steinmeyer, E. R. Thoen, S. T. Chu, H. A. Haus, E. P. Ippen, L. C. Kimerling, and W. Greene, "Ultra-compact Si-SiO_{2} microring resonator optical channel dropping filters," IEEE Photon. Technol. Lett. 10, 549-551 (1998).

[CrossRef]

T. Hirono, W. Lui, S. Seki, and Y. Yoshikuni, "A three-dimensional fourth-order finite-difference time-domain scheme using a symplectic integrator propagator," IEEE Trans. Microwave Theory Tech. 49, 1640-1648 (2001).

[CrossRef]

T. Hirono, Y. Shibata, W. W. Lui, S. Scki, and Y. Yoshikuni, "The second-order condition for the dielectric interface orthogonal to the Yee-lattice axis in the FDTD scheme," IEEE Microw. Guid. Wave Lett. 10, 359-361 (2000).

[CrossRef]

T. Hirono, W. W. Lui, and S. Seki, "Successful applications of PML-ABC to the symplectic FDTD scheme with 4th-order accuracy in time and space," in IEEE MTT-S International Microwave Symposium Digest (IEEE, 1999), pp. 1293-1296.

D. Marcuse, Theory of Dielectric Optical Waveguides (Academic, 1974), pp. 7-17.

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "High transmission through sharp bends in photonic crystal waveguides," Phys. Rev. Lett. 77, 3787-3790 (1996).

[CrossRef]
[PubMed]

S. M. Lee, W. C. Chew, M. Moghaddam, M. A. Nasir, S-L. Chuang, R. W. Herrick, and C. L. Balestra. "Modeling of rough-surface effects in an optical turning mirror using the finite-difference time-domain method," J. Lightwave Technol. 9, 1471-1480 (1991).

[CrossRef]

J. Yamauchi, H. Kanbara, and H. Nakano, "Analysis of optical waveguides with high-reflection coatings using the FD-TD method," IEEE Photon. Technol. Lett. 10, 111-113 (1998).

[CrossRef]

S. M. Lee, W. C. Chew, M. Moghaddam, M. A. Nasir, S-L. Chuang, R. W. Herrick, and C. L. Balestra. "Modeling of rough-surface effects in an optical turning mirror using the finite-difference time-domain method," J. Lightwave Technol. 9, 1471-1480 (1991).

[CrossRef]

R. U. Ahmad, F. Pizzuto, G. S. Camarda, R. L. Espinola, H. Rao, and R. M. Osgood, "Resonant frequencies and quality factors for optical equilateral triangle resonators calculated by FDTD technique and the Pade approximation," IEEE Photon. Technol. Lett. 14, 65-67 (2000).

[CrossRef]

A. Yefet and P. G. Petropoulos, "A staggered fourth-order accurate explicit finite difference scheme for the time-domain Maxwell's equations," J. Comput. Phys. 168, 286-315 (2001).

[CrossRef]

M. F. Hadi and M. Piket-May, "A modified FDTD (2, 4) scheme for modeling electrically large structures with high-phase accuracy," IEEE Trans. Antennas Propag. 45, 254-264 (1997).

[CrossRef]

A. Byers, I. Rumsey, Z. Popovic, and M. Piket-May, "Surface-wave guiding using periodic structures," in IEEE Antennas Propagation Society International Symposium (IEEE, 2000), Vol. 1, pp. 342-345.

R. U. Ahmad, F. Pizzuto, G. S. Camarda, R. L. Espinola, H. Rao, and R. M. Osgood, "Resonant frequencies and quality factors for optical equilateral triangle resonators calculated by FDTD technique and the Pade approximation," IEEE Photon. Technol. Lett. 14, 65-67 (2000).

[CrossRef]

A. Byers, I. Rumsey, Z. Popovic, and M. Piket-May, "Surface-wave guiding using periodic structures," in IEEE Antennas Propagation Society International Symposium (IEEE, 2000), Vol. 1, pp. 342-345.

M. Qiu and S. He, "Numerical method for computing defect modes in two-dimensional photonic crystals with dielectric or metallic inclusions," Phys. Rev. B 61, 12871-12876 (2000).

[CrossRef]

R. U. Ahmad, F. Pizzuto, G. S. Camarda, R. L. Espinola, H. Rao, and R. M. Osgood, "Resonant frequencies and quality factors for optical equilateral triangle resonators calculated by FDTD technique and the Pade approximation," IEEE Photon. Technol. Lett. 14, 65-67 (2000).

[CrossRef]

S. V. Georgakopoulos, C. R. Birtcher, C. A. Balanis, and R. A. Renaut, "Higher-order finite-difference schemes for electromagnetic radiation, scattering, and penetration, part I: Theory," IEEE Antennas Propag. Magazine 44, 134-142 (2002).

[CrossRef]

A. Byers, I. Rumsey, Z. Popovic, and M. Piket-May, "Surface-wave guiding using periodic structures," in IEEE Antennas Propagation Society International Symposium (IEEE, 2000), Vol. 1, pp. 342-345.

T. Hirono, Y. Shibata, W. W. Lui, S. Scki, and Y. Yoshikuni, "The second-order condition for the dielectric interface orthogonal to the Yee-lattice axis in the FDTD scheme," IEEE Microw. Guid. Wave Lett. 10, 359-361 (2000).

[CrossRef]

T. Hirono, W. Lui, S. Seki, and Y. Yoshikuni, "A three-dimensional fourth-order finite-difference time-domain scheme using a symplectic integrator propagator," IEEE Trans. Microwave Theory Tech. 49, 1640-1648 (2001).

[CrossRef]

T. Hirono, W. W. Lui, and S. Seki, "Successful applications of PML-ABC to the symplectic FDTD scheme with 4th-order accuracy in time and space," in IEEE MTT-S International Microwave Symposium Digest (IEEE, 1999), pp. 1293-1296.

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[CrossRef]

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