M. Yuan, T. K. Sarkar, "Computation of the Sommerfeld
integral tails using the matrix pencil method," IEEE
Trans. Antennas Propag. 54, 1358-1362 (2006).

N. J. Florous, K. Saitoh, M. Koshiba, "Modeling of two-dimensional
photonic crystal resonant cavities incorporating elliptically shaped dielectric
cylinders," IEEE Photon. Technol. Lett. 17, 2316-2318 (2005).

D. Pissoort, E. Michielssen, F. Olyslager, D. De Zutter, "Fast analysis of 2-D electromagnetic
crystal devices using a periodic Green function approach," J. Lightw. Technol. 23, 2294-2308 (2005).

M. Soljacic, J. D. Joannopoulos, "Enhancement of nonlinear effect
using photonic crystals," Nature 3, 211-219 (2004).

M. Soljacic, C. Luo, J. D. Joannopoulos, S. Fan, "Non-linear photonic crystal micro-devices for optical integration," Opt. Lett. 28, 637-639 (2003).

B. Denecker, F. Olyslager, L. Knockaert, D. De Zutter, "Generation of FDTD subcell
equations by means of reduced order modeling," IEEE
Trans. Antennas Propag. 51, 1806-1817 (2003).

S. Boscolo, M. Midrio, C. G. Someda, "Coupling and decoupling of
electromagnetic waves in parallel 2-D photonic crystal waveguides," IEEE J. Quantum Electron. 1, 47-53 (2002).

C. Jin, S. Han, X. Meng, B. Cheng, D. Zhang, "Demultiplexer using directly
resonant tunneling between point defects and waveguides in a photonic crystal," J. Appl. Phys. 91, 4771-4773 (2002).

S. Kawakami, "Analytically solvable model
of photonic crystal structures and novel phenomena," J.
Lightw. Technol. 20, 1644-1650 (2002).

H. Benisty, C. Weisbuch, M. Agio, M. Kafesaki, C. M. Soukoulis, M. Qiu, M. Swillo, A. Karlsson, B. Jaskorzynska, A. Talneau, J. Moosburger, M. Kamp, A. Forchell, R. Ferrini, R. Houdre, U. Oesterle, "Models
and measurements for the transmission of submicron-width waveguide bends defined
in two-dimensional photonic crystals," IEEE
J. Quantum Electron. 38, 770-785 (2002).

Moreno, D. Erni, C. Hafner, "Band structure computations of metallic
photonic crystals with the multiple multipole method," Phys.
Rev. B 65, 5120-5130 (2002).

E. I. Smirnova, C. Chen, M. A. Shapiro, J. R. Sirigiri, R. J. Temkin, "Simulation of photonic band gaps in metal
rod lattices for microwave applications," J.
Appl. Phys. 91, 960-968 (2002).

A. Adibi, Y. Xu, R. K. Lee, M. Loncar, A. Yariv, A. Scherer, "Role of distributed Bragg reflection in photonic-crystal
optical waveguides," Phys. Rev. B 64, 1102-1105 (2001).

P. Bienstman, R. Baets, "Optical modeling of photonic crystals and
VCSELs using eigenmode expansion and perfectly matched layers," Opt. Quantum Electron. 33, 327-341 (2001).

M. Koshiba, "Wavelength division multiplexing
and demultiplexing with photonic crystal waveguide couplers," J. Lightw. Technol. 19, 1970-1975 (2001).

A. Adibi, Y. Xu, R. K. Lee, M. Loncar, A. Yariv, A. Scherer, "Properties of the slab modes in photonic crystal optical
waveguides," J. Lightw. Technol. 18, 1554-1564 (2000).

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

A. Yariv, Y. Xu, R. K. Lee, A. Scherer, "Coupled-resonator optical waveguide: A proposal
and analysis," Opt. Lett. 24, 711-713 (1999).

W. Axmann, P. Kuchment, L. Kunyansky, "Asymptotic methods for thin
high-contrast two-dimensional PBG materials," J.
Lightw. Technol. 17, 1996-2007 (1999).

H. Derudder, D. De Zutter, F. Olyslager, "A new way to analyze waveguide
discontinuities using perfectly matched layers," Electron.
Lett. 34, 2138-2140 (1998).

M. G. Khazinsky, A. R. McGurn, "Green's function method for
waveguide and single impurity methods in 2-D photonic crystals: H-polarization," Phys. Lett. 237, 175-182 (1998).

I. Vorobeichil, M. Orenstein, "Intermediate-mode assisted
optical directional couplers via embedded periodic structures," IEEE J. Quantum Electron. 34, 1772-1781 (1998).

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

C. Hafner, "Multiple multipole program
computation of periodic structures," J. Opt.
Soc. Am. A 12, 1057-1067 (1995).

E. Yablonovitch, "Photonic bandgap structure," J. Opt. Soc. Amer. B 10, 283-295 (1993).

Y. L. Chow, J. J. Yang, D. G. Fang, G. E. Howard, "A closed-form spatial Green's
function for the thick microstrip substrate," IEEE
Trans. Microw. Theory Tech. 39, 588-592 (1991).

S. Singh, W. F. Richards, J. R. Zinecker, D. R. Wilton, "Accelerating the convergence
of series representing the free space periodic Green's function," IEEE Trans. Antennas Propag. 38, 1958-1962 (1990).

Y. Hua, T. K. Sarkar, "Generalized pencil-of-function
method for extracting poles of an EM system from its transient response," IEEE Trans. Antennas Propag. 37, 229-234 (1989).

R. Lampe, P. Klock, P. Mayes, "Integral transforms useful for the accelerated summation
of periodic free-space Green's function," IEEE
Trans. Microw. Theory Tech. 33, 734-736 (1985).

H. Derudder, D. De Zutter, F. Olyslager, "A new way to analyze waveguide
discontinuities using perfectly matched layers," Electron.
Lett. 34, 2138-2140 (1998).

H. Benisty, C. Weisbuch, M. Agio, M. Kafesaki, C. M. Soukoulis, M. Qiu, M. Swillo, A. Karlsson, B. Jaskorzynska, A. Talneau, J. Moosburger, M. Kamp, A. Forchell, R. Ferrini, R. Houdre, U. Oesterle, "Models
and measurements for the transmission of submicron-width waveguide bends defined
in two-dimensional photonic crystals," IEEE
J. Quantum Electron. 38, 770-785 (2002).

B. Denecker, F. Olyslager, L. Knockaert, D. De Zutter, "Generation of FDTD subcell
equations by means of reduced order modeling," IEEE
Trans. Antennas Propag. 51, 1806-1817 (2003).

M. Yuan, T. K. Sarkar, "Computation of the Sommerfeld
integral tails using the matrix pencil method," IEEE
Trans. Antennas Propag. 54, 1358-1362 (2006).

R. Lampe, P. Klock, P. Mayes, "Integral transforms useful for the accelerated summation
of periodic free-space Green's function," IEEE
Trans. Microw. Theory Tech. 33, 734-736 (1985).

Y. L. Chow, J. J. Yang, D. G. Fang, G. E. Howard, "A closed-form spatial Green's
function for the thick microstrip substrate," IEEE
Trans. Microw. Theory Tech. 39, 588-592 (1991).

I. Vorobeichil, M. Orenstein, "Intermediate-mode assisted
optical directional couplers via embedded periodic structures," IEEE J. Quantum Electron. 34, 1772-1781 (1998).

S. Boscolo, M. Midrio, C. G. Someda, "Coupling and decoupling of
electromagnetic waves in parallel 2-D photonic crystal waveguides," IEEE J. Quantum Electron. 1, 47-53 (2002).

N. J. Florous, K. Saitoh, M. Koshiba, "Modeling of two-dimensional
photonic crystal resonant cavities incorporating elliptically shaped dielectric
cylinders," IEEE Photon. Technol. Lett. 17, 2316-2318 (2005).

S. Singh, W. F. Richards, J. R. Zinecker, D. R. Wilton, "Accelerating the convergence
of series representing the free space periodic Green's function," IEEE Trans. Antennas Propag. 38, 1958-1962 (1990).

Y. Hua, T. K. Sarkar, "Generalized pencil-of-function
method for extracting poles of an EM system from its transient response," IEEE Trans. Antennas Propag. 37, 229-234 (1989).

E. I. Smirnova, C. Chen, M. A. Shapiro, J. R. Sirigiri, R. J. Temkin, "Simulation of photonic band gaps in metal
rod lattices for microwave applications," J.
Appl. Phys. 91, 960-968 (2002).

S. Kawakami, "Analytically solvable model
of photonic crystal structures and novel phenomena," J.
Lightw. Technol. 20, 1644-1650 (2002).

W. Axmann, P. Kuchment, L. Kunyansky, "Asymptotic methods for thin
high-contrast two-dimensional PBG materials," J.
Lightw. Technol. 17, 1996-2007 (1999).

C. Jin, S. Han, X. Meng, B. Cheng, D. Zhang, "Demultiplexer using directly
resonant tunneling between point defects and waveguides in a photonic crystal," J. Appl. Phys. 91, 4771-4773 (2002).

M. Koshiba, "Wavelength division multiplexing
and demultiplexing with photonic crystal waveguide couplers," J. Lightw. Technol. 19, 1970-1975 (2001).

D. Pissoort, E. Michielssen, F. Olyslager, D. De Zutter, "Fast analysis of 2-D electromagnetic
crystal devices using a periodic Green function approach," J. Lightw. Technol. 23, 2294-2308 (2005).

A. Adibi, Y. Xu, R. K. Lee, M. Loncar, A. Yariv, A. Scherer, "Properties of the slab modes in photonic crystal optical
waveguides," J. Lightw. Technol. 18, 1554-1564 (2000).

C. Hafner, "Multiple multipole program
computation of periodic structures," J. Opt.
Soc. Am. A 12, 1057-1067 (1995).

E. Yablonovitch, "Photonic bandgap structure," J. Opt. Soc. Amer. B 10, 283-295 (1993).

M. Soljacic, J. D. Joannopoulos, "Enhancement of nonlinear effect
using photonic crystals," Nature 3, 211-219 (2004).

M. Soljacic, C. Luo, J. D. Joannopoulos, S. Fan, "Non-linear photonic crystal micro-devices for optical integration," Opt. Lett. 28, 637-639 (2003).

A. Yariv, Y. Xu, R. K. Lee, A. Scherer, "Coupled-resonator optical waveguide: A proposal
and analysis," Opt. Lett. 24, 711-713 (1999).

P. Bienstman, R. Baets, "Optical modeling of photonic crystals and
VCSELs using eigenmode expansion and perfectly matched layers," Opt. Quantum Electron. 33, 327-341 (2001).

Moreno, D. Erni, C. Hafner, "Band structure computations of metallic
photonic crystals with the multiple multipole method," Phys.
Rev. B 65, 5120-5130 (2002).

M. G. Khazinsky, A. R. McGurn, "Green's function method for
waveguide and single impurity methods in 2-D photonic crystals: H-polarization," Phys. Lett. 237, 175-182 (1998).

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

A. Adibi, Y. Xu, R. K. Lee, M. Loncar, A. Yariv, A. Scherer, "Role of distributed Bragg reflection in photonic-crystal
optical waveguides," Phys. Rev. B 64, 1102-1105 (2001).

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

R. Collin, Field Theory of Guided Waves (McGraw-Hill, 1991).