J. Yuan, Y. Y. Lu, X. Antoine, "Modeling photonic crystals by boundary integral
equations and Dirichlet-to-Neumann maps," J. Comput. Phys. 227, 4617-3629 (2008).

Y. Huang, Y. Y. Lu, S. Li, "Analyzing photonic crystal waveguides by
Dirichlet-to-Neumann maps," J. Opt. Soc. America B 24, 2860-2867 (2007).

L. Yuan, Y. Y. Lu, "A recursive doubling Dirichlet-to-Neumann map method
for periodic waveguides," J. Lightw. Technol. 25, 3649-3656 (2007).

C. H. Chen, Y. Fainman, "Photonic bandgap microcavities with flat-top response," IEEE J. Sel. Topics Quantum Electron. 13, 262-269 (2007).

J. Čtyroký, "Improved bidirectional mode expansion propagation
algorithm based on Fourier series," J. Lightw. Technol. 25, 2321-2330 (2007).

M. Gnan, G. Bellanca, H. M. H. Chong, P. Bassi, R. M. De la Rue, "Modelling of photonic wire Bragg gratings," Opt. Quantum Electron. 38, 133-148 (2006).

L. Yuan, Y. Y. Lu, "An efficient bidirectional propagation method based on
Dirichlet-to-Neumann maps," IEEE Photon. Technol. Lett. 18, 1967-1969 (2006).

Y. Huang, Y. Y. Lu, "Scattering from periodic arrays of cylinders by
Dirichlet-to-Neumann maps," J. Lightw. Technol. 24, 3448-3453 (2006).

Y. Y. Lu, "Minimizing the discrete reflectivity of perfectly
matched layers," IEEE Photon. Technol. Lett. 18, 487-489 (2006).

A. S. Jugessur, P. Pottier, R. M. De La Rue, "Engineering the filter response of photonic crystal
microcavity filters," Opt. Expr. 12, 1304-1312 (2004).

J. Ctyroky, S. Helfert, R. Pregla, P. Bienstman, R. Baets, R. De Ridder, R. Stoffer, G. Klaasse, J. Petracek, P. Lalanne, J. P. Hugonin, R. M. De La Rue, "Bragg waveguide grating as a 1D photonic band gap
structure: COST 268 modelling task," Opt. Quantum Electron. 34, 455-470 (2002).

E. Popov, M. Nevière, B. Gralak, G. Tayeb, "Staircase approximation validity for arbitrary-shaped
gratings," J. Opt. Soc. Amer. A 19, 33-42 (2002).

P. L. Ho, Y. Y. Lu, "A bidirectional beam propagation method for periodic
waveguides," IEEE Photon. Technol. Lett. 14, 325-327 (2002).

Y. Y. Lu, S. H. Wei, "A new iterative bidirectional beam propagation method," IEEE Photon. Technol. Lett. 14, 1533-1535 (2002).

P. L. Ho, Y. Y. Lu, "A stable bidirectional propagation method based on
scattering operators," IEEE Photon. Technol. Lett. 13, 1316-1318 (2001).

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

E. Silberstein, P. Lalanne, J. P. Hugonin, Q. Cao, "Use of grating theories in integrated optics," J. Opt. Soc. Amer. A 18, 2865-2875 (2001).

H. El-Refaei, D. Yevick, I. Betty, "Stable and noniterative bidirectional beam propagation
method," IEEE Photon. Technol. Lett. 12, 389-391 (2000).

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

H. Rao, R. Scarmozzino, R. M. Osgood, "A bidirectional beam propagation method for multiple
dielectric interfaces," IEEE Photon. Technol. Lett. 11, 830-832 (1999).

S. F. Helfert, R. Pregla, "Efficient analysis of periodic structures," J. Lightw. Technol. 16, 1694-1702 (1998).

T. F. Krauss, B. Vogele, C. R. Stanley, R. M. De la Rue, "Waveguide microcavity based on photonic
microstructures," IEEE Photon. Technol. Lett. 9, 176-178 (1997).

J. S. Foresi, P. R. Villeneuve, J. Ferrera, E. R. Thoen, G. Steinmeyer, S. Fan, J. D. Joannopoulos, L. C. Kimerling, H. I. Smith, E. P. Ippen, "Photonic-bandgap microcavities in optical waveguides," Nature 390, 143-145 (1997).

J. P. Zhang, D. Y. Chu, S. L. Wu, W. G. Bi, R. C. Tiberio, R. M. Joseph, A. Taflove, C. W. Tu, S. T. Ho, "Nanofabrication of 1-D photonic bandgap structures
along a photonic wire," IEEE Photon. Technol. Lett. 8, 491-493 (1996).

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

P. R. Villeneuve, S. H. Fan, J. D. Joannopoulos, K. Y. Lim, G. S. Petrich, L. A. Kolodziejski, R. Reif, "Air-bridge microcavities," Appl. Phys. Lett. 67, 167-169 (1995).

J. Willems, J. Haes, R. Baets, "The bidirectional mode expansion method for
2-dimensional wave-guides—The TM case," Opt. Quantum Electron. 27, 995-1007 (1995).

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

W. C. Chew, W. H. Weedon, "A 3D perfectly matched medium from modified Maxwells
equations with stretched coordinates," Microw. Opt. Technol. Lett. 7, 599-604 (1994).

G. Sztefka, H. P. Nolting, "Bidirectional eigenmode propagation for large
refractive index steps," IEEE Photon. Technol. Lett. 5, 554-557 (1993).

Q. H. Liu, W. C. Chew, "Analysis of discontinuities in planar dielectric
waveguides: An eigenmode propagation method," IEEE Trans. Microw. Theory Tech. 39, 422-430 (1991).

P. R. Villeneuve, S. H. Fan, J. D. Joannopoulos, K. Y. Lim, G. S. Petrich, L. A. Kolodziejski, R. Reif, "Air-bridge microcavities," Appl. Phys. Lett. 67, 167-169 (1995).

C. H. Chen, Y. Fainman, "Photonic bandgap microcavities with flat-top response," IEEE J. Sel. Topics Quantum Electron. 13, 262-269 (2007).

T. F. Krauss, B. Vogele, C. R. Stanley, R. M. De la Rue, "Waveguide microcavity based on photonic
microstructures," IEEE Photon. Technol. Lett. 9, 176-178 (1997).

J. P. Zhang, D. Y. Chu, S. L. Wu, W. G. Bi, R. C. Tiberio, R. M. Joseph, A. Taflove, C. W. Tu, S. T. Ho, "Nanofabrication of 1-D photonic bandgap structures
along a photonic wire," IEEE Photon. Technol. Lett. 8, 491-493 (1996).

H. Rao, R. Scarmozzino, R. M. Osgood, "A bidirectional beam propagation method for multiple
dielectric interfaces," IEEE Photon. Technol. Lett. 11, 830-832 (1999).

H. El-Refaei, D. Yevick, I. Betty, "Stable and noniterative bidirectional beam propagation
method," IEEE Photon. Technol. Lett. 12, 389-391 (2000).

P. L. Ho, Y. Y. Lu, "A stable bidirectional propagation method based on
scattering operators," IEEE Photon. Technol. Lett. 13, 1316-1318 (2001).

P. L. Ho, Y. Y. Lu, "A bidirectional beam propagation method for periodic
waveguides," IEEE Photon. Technol. Lett. 14, 325-327 (2002).

Y. Y. Lu, S. H. Wei, "A new iterative bidirectional beam propagation method," IEEE Photon. Technol. Lett. 14, 1533-1535 (2002).

L. Yuan, Y. Y. Lu, "An efficient bidirectional propagation method based on
Dirichlet-to-Neumann maps," IEEE Photon. Technol. Lett. 18, 1967-1969 (2006).

G. Sztefka, H. P. Nolting, "Bidirectional eigenmode propagation for large
refractive index steps," IEEE Photon. Technol. Lett. 5, 554-557 (1993).

Y. Y. Lu, "Minimizing the discrete reflectivity of perfectly
matched layers," IEEE Photon. Technol. Lett. 18, 487-489 (2006).

Q. H. Liu, W. C. Chew, "Analysis of discontinuities in planar dielectric
waveguides: An eigenmode propagation method," IEEE Trans. Microw. Theory Tech. 39, 422-430 (1991).

J. Yuan, Y. Y. Lu, X. Antoine, "Modeling photonic crystals by boundary integral
equations and Dirichlet-to-Neumann maps," J. Comput. Phys. 227, 4617-3629 (2008).

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

J. Čtyroký, "Improved bidirectional mode expansion propagation
algorithm based on Fourier series," J. Lightw. Technol. 25, 2321-2330 (2007).

S. F. Helfert, R. Pregla, "Efficient analysis of periodic structures," J. Lightw. Technol. 16, 1694-1702 (1998).

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

Y. Huang, Y. Y. Lu, "Scattering from periodic arrays of cylinders by
Dirichlet-to-Neumann maps," J. Lightw. Technol. 24, 3448-3453 (2006).

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

L. Yuan, Y. Y. Lu, "A recursive doubling Dirichlet-to-Neumann map method
for periodic waveguides," J. Lightw. Technol. 25, 3649-3656 (2007).

E. Popov, M. Nevière, B. Gralak, G. Tayeb, "Staircase approximation validity for arbitrary-shaped
gratings," J. Opt. Soc. Amer. A 19, 33-42 (2002).

E. Silberstein, P. Lalanne, J. P. Hugonin, Q. Cao, "Use of grating theories in integrated optics," J. Opt. Soc. Amer. A 18, 2865-2875 (2001).

Y. Huang, Y. Y. Lu, S. Li, "Analyzing photonic crystal waveguides by
Dirichlet-to-Neumann maps," J. Opt. Soc. America B 24, 2860-2867 (2007).

W. C. Chew, W. H. Weedon, "A 3D perfectly matched medium from modified Maxwells
equations with stretched coordinates," Microw. Opt. Technol. Lett. 7, 599-604 (1994).

J. S. Foresi, P. R. Villeneuve, J. Ferrera, E. R. Thoen, G. Steinmeyer, S. Fan, J. D. Joannopoulos, L. C. Kimerling, H. I. Smith, E. P. Ippen, "Photonic-bandgap microcavities in optical waveguides," Nature 390, 143-145 (1997).

A. S. Jugessur, P. Pottier, R. M. De La Rue, "Engineering the filter response of photonic crystal
microcavity filters," Opt. Expr. 12, 1304-1312 (2004).

J. Ctyroky, S. Helfert, R. Pregla, P. Bienstman, R. Baets, R. De Ridder, R. Stoffer, G. Klaasse, J. Petracek, P. Lalanne, J. P. Hugonin, R. M. De La Rue, "Bragg waveguide grating as a 1D photonic band gap
structure: COST 268 modelling task," Opt. Quantum Electron. 34, 455-470 (2002).

M. Gnan, G. Bellanca, H. M. H. Chong, P. Bassi, R. M. De la Rue, "Modelling of photonic wire Bragg gratings," Opt. Quantum Electron. 38, 133-148 (2006).

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

J. Willems, J. Haes, R. Baets, "The bidirectional mode expansion method for
2-dimensional wave-guides—The TM case," Opt. Quantum Electron. 27, 995-1007 (1995).