A. Rathsfeld, G. Schmidt, and B. H. Kleemann,
“Fast integral equation method for diffraction
gratings,” CiCP 1, 984–1009(2006).

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

[CrossRef]

E. Popov, B. Bozhkov, D. Maystre, and J. Hoose,
“Integral method for echelles covered with lossless or absorbing
thin dielectric layers,” Appl. Opt. 38, 47–55
(1999).

[CrossRef]

L. Li, J. Chandezon, G. Granet, and J. P. Plumey,
“Rigorous and efficient grating-analysis method made easy for
optical engineers,” Appl. Opt. 38, 304–313
(1999).

[CrossRef]

M. Mansuripur, L. Li, and W.-H. Yeh,
“Diffraction gratings: part 2,” Opt. Photon. News 10,
44–48 (1999).

[CrossRef]

B. H. Kleemann, A. Mitreiter, and F. Wyrowski,
“Integral equation method with parametrization of grating
profile—theory and experiments,” J. Mod. Opt. 43,
1323–1349 (1996).

[CrossRef]

P. Lalanne and G. M. Morris, “Highly
improved convergence of the coupled-wave method for TM
polarization,” J. Opt. Soc. Am. A 13, 779–784
(1996).

[CrossRef]

G. Granet and B. Guizal, “Efficient
implementation of the coupled-wave method for metallic lamellar gratings in
TM polarization,” J. Opt. Soc. Am. A 13, 1019–1023
(1996).

[CrossRef]

L. Li, “Use of Fourier series in the
analysis of discontinuous periodic structures,” J. Opt. Soc. Am.
A 13, 1870–1876 (1996).

[CrossRef]

Y. Y. Lu and J. R. McLaughlin,
“Riccati method for the Helmholtz equation,” J.
Acoust. Soc. Am. 100, 1432–1446(1996).

[CrossRef]

L. Li, “Formulation and comparison of
two recursive matrix algorithms for modeling layered diffraction
gratings,” J. Opt. Soc. Am. A 13, 1024–1035
(1996).

[CrossRef]

A. Pomp, “Integral method for coated
gratings—computational cost,” J. Mod. Opt. 38,
109–120 (1991).

[CrossRef]

S. L. Chuang and J. A. Kong, “Wave
scattering from a periodic dielectric surface for a general angle of
incidence,” Radio Sci. 17, 545–557
(1982).

[CrossRef]

S. L. Chuang and J. A. Kong, “Wave
scattering from a periodic dielectric surface for a general angle of
incidence,” Radio Sci. 17, 545–557
(1982).

[CrossRef]

D. Colton and R. Kress, Inverse Acoustic and
Electromagnetic Scattering Theory, 2nd ed. (Springer-Verlag,
1998).

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

[CrossRef]

A. Rathsfeld, G. Schmidt, and B. H. Kleemann,
“Fast integral equation method for diffraction
gratings,” CiCP 1, 984–1009(2006).

B. H. Kleemann, A. Mitreiter, and F. Wyrowski,
“Integral equation method with parametrization of grating
profile—theory and experiments,” J. Mod. Opt. 43,
1323–1349 (1996).

[CrossRef]

S. L. Chuang and J. A. Kong, “Wave
scattering from a periodic dielectric surface for a general angle of
incidence,” Radio Sci. 17, 545–557
(1982).

[CrossRef]

D. Colton and R. Kress, Inverse Acoustic and
Electromagnetic Scattering Theory, 2nd ed. (Springer-Verlag,
1998).

M. Mansuripur, L. Li, and W.-H. Yeh,
“Diffraction gratings: part 2,” Opt. Photon. News 10,
44–48 (1999).

[CrossRef]

L. Li, J. Chandezon, G. Granet, and J. P. Plumey,
“Rigorous and efficient grating-analysis method made easy for
optical engineers,” Appl. Opt. 38, 304–313
(1999).

[CrossRef]

L. Li, “Formulation and comparison of
two recursive matrix algorithms for modeling layered diffraction
gratings,” J. Opt. Soc. Am. A 13, 1024–1035
(1996).

[CrossRef]

L. Li, “Use of Fourier series in the
analysis of discontinuous periodic structures,” J. Opt. Soc. Am.
A 13, 1870–1876 (1996).

[CrossRef]

L. Li, “Multilayer modal method for
diffraction gratings of arbitrary profile, depth, and
permittivity,” J. Opt. Soc. Am. A 10, 2581–2591
(1993).

[CrossRef]

L. Li, “Modal analysis of lamellar
diffraction gratings in conical mountings,” J. Mod. Opt. 40,
553–573 (1993).

[CrossRef]

Y. Wu and Y. Y. Lu, “Analyzing
diffraction gratings by a boundary integral equation Neumann-to-Dirichlet
map method,” J. Opt. Soc. Am. A 26, 2444–2451
(2009).

[CrossRef]

Y. Wu and Y. Y. Lu,
“Dirichlet-to-Neumann map method for analyzing periodic arrays of
cylinders with oblique incident waves,” J. Opt. Soc. Am. B 26,
1442–1449 (2009).

[CrossRef]

Y. Wu and Y. Y. Lu,
“Dirichlet-to-Neumann map method for analyzing interpenetrating
cylinder arrays in a triangular lattice,” J. Opt. Soc. Am. B 25,
1466–1473 (2008).

[CrossRef]

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

[CrossRef]

Y. Y. Lu and J. R. McLaughlin,
“Riccati method for the Helmholtz equation,” J.
Acoust. Soc. Am. 100, 1432–1446(1996).

[CrossRef]

M. Mansuripur, L. Li, and W.-H. Yeh,
“Diffraction gratings: part 2,” Opt. Photon. News 10,
44–48 (1999).

[CrossRef]

E. Popov, B. Bozhkov, D. Maystre, and J. Hoose,
“Integral method for echelles covered with lossless or absorbing
thin dielectric layers,” Appl. Opt. 38, 47–55
(1999).

[CrossRef]

D. Maystre, “Sur la diffraction et
l’absorption par les réseaux utilisés dans
l’infrarouge, le visible, et
l’ultraviolet,” (Ph.D. dissertation,
Université d’Aix-Marseille III, France,
1974).

D. Maystre, “Integral
methods,” in Electromagnetic Theory of Gratings, R.Petit, ed.
(Springer-Verlag, 1980), Chapter 3.

Y. Y. Lu and J. R. McLaughlin,
“Riccati method for the Helmholtz equation,” J.
Acoust. Soc. Am. 100, 1432–1446(1996).

[CrossRef]

B. H. Kleemann, A. Mitreiter, and F. Wyrowski,
“Integral equation method with parametrization of grating
profile—theory and experiments,” J. Mod. Opt. 43,
1323–1349 (1996).

[CrossRef]

A. Pomp, “Integral method for coated
gratings—computational cost,” J. Mod. Opt. 38,
109–120 (1991).

[CrossRef]

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

[CrossRef]

E. Popov, B. Bozhkov, D. Maystre, and J. Hoose,
“Integral method for echelles covered with lossless or absorbing
thin dielectric layers,” Appl. Opt. 38, 47–55
(1999).

[CrossRef]

M. Nevière and E. Popov, Light
Propagation in Periodic Media (Marcel Dekker, 2003).

A. Rathsfeld, G. Schmidt, and B. H. Kleemann,
“Fast integral equation method for diffraction
gratings,” CiCP 1, 984–1009(2006).

B. H. Kleemann, A. Mitreiter, and F. Wyrowski,
“Integral equation method with parametrization of grating
profile—theory and experiments,” J. Mod. Opt. 43,
1323–1349 (1996).

[CrossRef]

M. Mansuripur, L. Li, and W.-H. Yeh,
“Diffraction gratings: part 2,” Opt. Photon. News 10,
44–48 (1999).

[CrossRef]

E. Popov, B. Bozhkov, D. Maystre, and J. Hoose,
“Integral method for echelles covered with lossless or absorbing
thin dielectric layers,” Appl. Opt. 38, 47–55
(1999).

[CrossRef]

L. Li, J. Chandezon, G. Granet, and J. P. Plumey,
“Rigorous and efficient grating-analysis method made easy for
optical engineers,” Appl. Opt. 38, 304–313
(1999).

[CrossRef]

A. Rathsfeld, G. Schmidt, and B. H. Kleemann,
“Fast integral equation method for diffraction
gratings,” CiCP 1, 984–1009(2006).

Y. Y. Lu and J. R. McLaughlin,
“Riccati method for the Helmholtz equation,” J.
Acoust. Soc. Am. 100, 1432–1446(1996).

[CrossRef]

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

[CrossRef]

L. Li, “Modal analysis of lamellar
diffraction gratings in conical mountings,” J. Mod. Opt. 40,
553–573 (1993).

[CrossRef]

A. Pomp, “Integral method for coated
gratings—computational cost,” J. Mod. Opt. 38,
109–120 (1991).

[CrossRef]

B. H. Kleemann, A. Mitreiter, and F. Wyrowski,
“Integral equation method with parametrization of grating
profile—theory and experiments,” J. Mod. Opt. 43,
1323–1349 (1996).

[CrossRef]

D. W. Prather, M. S. Mirotznik, and J. N. Mait,
“Boundary integral methods applied to the analysis of diffractive
optical elements,” J. Opt. Soc. Am. A 14, 34–43
(1997).

[CrossRef]

G. Bao, Z. M. Chen, and H. J. Wu,
“Adaptive finite-element method for diffraction
gratings,” J. Opt. Soc. Am. A 22, 1106–1114
(2005).

[CrossRef]

P. Lalanne and G. M. Morris, “Highly
improved convergence of the coupled-wave method for TM
polarization,” J. Opt. Soc. Am. A 13, 779–784
(1996).

[CrossRef]

G. Granet and B. Guizal, “Efficient
implementation of the coupled-wave method for metallic lamellar gratings in
TM polarization,” J. Opt. Soc. Am. A 13, 1019–1023
(1996).

[CrossRef]

L. Li, “Use of Fourier series in the
analysis of discontinuous periodic structures,” J. Opt. Soc. Am.
A 13, 1870–1876 (1996).

[CrossRef]

L. I. Goray and G. Schmidt, “Solving
conical diffraction with integral equations,” J. Opt. Soc. Am. A
27, 585–597(2010).

[CrossRef]

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

[CrossRef]

I. Gushchin and A. V. Tishchenko,
“Fourier modal method for relief gratings with oblique boundary
conditions,” J. Opt. Soc. Am. A 27, 1575–1583
(2010).

[CrossRef]

N. M. Lyndin, O. Parriaux, and A. V. Tishchenko,
“Modal analysis and suppression of the Fourier modal method
instabilities in highly conductive gratings,” J. Opt. Soc. Am. A
24, 3781–3788(2007).

[CrossRef]

K. M. Gundu and A. Mafi, “Reliable
computation of scattering from metallic binary gratings using Fourier-based
modal methods,” J. Opt. Soc. Am. A 27, 1694–1700
(2010).

[CrossRef]

Y. Wu and Y. Y. Lu, “Analyzing
diffraction gratings by a boundary integral equation Neumann-to-Dirichlet
map method,” J. Opt. Soc. Am. A 26, 2444–2451
(2009).

[CrossRef]

L. Li, “Multilayer modal method for
diffraction gratings of arbitrary profile, depth, and
permittivity,” J. Opt. Soc. Am. A 10, 2581–2591
(1993).

[CrossRef]

T. Magath and A. E. Serebryannikov,
“Fast iterative, coupled-integral-equation technique for
inhomogeneous profiled and periodic slabs,” J. Opt. Soc. Am. A
22, 2405–2418(2005).

[CrossRef]

L. Li, “Formulation and comparison of
two recursive matrix algorithms for modeling layered diffraction
gratings,” J. Opt. Soc. Am. A 13, 1024–1035
(1996).

[CrossRef]

L. Wang, J. A. Cox, and A. Friedman,
“Modal analysis of homogeneous optical waveguides by the boundary
integral formulation and the Nyström method,” J. Opt.
Soc. Am. A 15, 92–100 (1998).

[CrossRef]

M. Mansuripur, L. Li, and W.-H. Yeh,
“Diffraction gratings: part 2,” Opt. Photon. News 10,
44–48 (1999).

[CrossRef]

S. L. Chuang and J. A. Kong, “Wave
scattering from a periodic dielectric surface for a general angle of
incidence,” Radio Sci. 17, 545–557
(1982).

[CrossRef]

D. Colton and R. Kress, Inverse Acoustic and
Electromagnetic Scattering Theory, 2nd ed. (Springer-Verlag,
1998).

D. Maystre, “Sur la diffraction et
l’absorption par les réseaux utilisés dans
l’infrarouge, le visible, et
l’ultraviolet,” (Ph.D. dissertation,
Université d’Aix-Marseille III, France,
1974).

D. Maystre, “Integral
methods,” in Electromagnetic Theory of Gratings, R.Petit, ed.
(Springer-Verlag, 1980), Chapter 3.

R.Petit, ed., Electromagnetic Theory of Gratings
(Speinger-Verlag, 1980).

[CrossRef]

G.Bao, L.Cowsar, and W.Masters, eds.,
Mathematical Modeling in Optical Sciences (Society for Industrial and
Applied Mathematics, 2001).

[CrossRef]

M. Nevière and E. Popov, Light
Propagation in Periodic Media (Marcel Dekker, 2003).