L. Li, "Field singularities at lossless
metal-dielectric arbitrary-angle edges and their ramifications to the numerical
modeling of gratings," J. Opt. Soc. Amer. A 29, 593-604 (2012).

A. Akimov, N. Gippius, S. Tikhodeev, "Optical Fano resonances in
photonic crystal slabs near diffraction threshold anomalies," JETP Lett. 93, 427-430 (2011).

T. Weiss, N. A. Gippius, S. G. Tikhodeev, G. Granet, H. Giessen, "Derivation of plasmonic resonances
in the Fourier modal method with adaptive spatial resolution and matched coordinates," J. Opt. Soc. Amer. A 28, 238-244 (2011).

N. A. Gippius, T. Weiss, S. G. Tikhodeev, H. Giessen, "Resonant mode coupling of optical resonances
in stacked nanostructures," Opt. Exp. 18, 7569-7574 (2010).

D. A. Bykov, L. L. Doskolovich, "Magneto-optical resonances
in periodic dielectric structures magnetized in plane," J.
Mod. Opt. 57, 1611-1618 (2010).

N. A. Gippius, S. G. Tikhodeev, "The scattering matrix and optical
properties of metamaterials," Phys. Usp. 52, 1027-1030 (2009).

M. Liscidini, D. Gerace, L. C. Andreani, J. E. Sipe, "Scattering-matrix analysis
of periodically patterned multilayers with asymmetric unit cells and birefringent
media," Phys. Rev. B 77, (2008) Art. ID 035324.

T. Vallius, J. Tervo, P. Vahimaa, J. Turunen, "Electromagnetic field computation in semiconductor
laser resonators," J. Opt. Soc. Amer. A 23, 906-911 (2006).

V. Lomakin, E. Michielssen, "Transmission of transient plane
waves through perfect electrically conducting plates perforated by periodic
arrays of subwavelength holes," IEEE Trans.
Antennas Propag. 54, 970-984 (2006).

S. G. Tikhodeev, A. L. Yablonskii, E. A. Muljarov, N. A. Gippius, T. Ishihara, "Quasiguided modes and optical
properties of photonic crystal slabs," Phys.
Rev. B 66, 045102 (2002).

D. Felbacq, "Numerical computation of resonance
poles in scattering theory," Phys. Rev. E 64, (2001) Art.
ID 047702.

E. Centeno, D. Felbacq, "Optical bistability in finite-size
nonlinear bidimensional photonic crystals doped by a microcavity," Phys. Rev. B 62, R7683-R7686 (2000).

E. Centeno, D. Felbacq, "Rabi oscillations in bidimensional
photonic crystals," Phys. Rev. B 62, 10 101-10 108 (2000).

C. Chen, P. Berini, D. Feng, S. Tanev, V. Tzolov, "Efficient and accurate numerical analysis of multilayer
planar optical waveguides in lossy anisotropic media," Opt.
Exp. 7, 260-272 (2000).

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, H. A. Haus, "Channel drop tunneling through
localized states," Phys. Rev. Lett. 80, 960-963 (1998).

A. D. Rakic, A. B. Djurišic, J. M. Elazar, M. L. Majewski, "Optical properties of metallic
films for vertical-cavity optoelectronic devices," Appl.
Opt. 37, 5271-5283 (1998).

L. Yau, A. Ben-Israel, "The Newton and Halley methods
for complex roots," Am. Math. Mon. 105, 806-818 (1998).

L. Li, "Formulation and comparison
of two recursive matrix algorithms for modeling layered diffraction gratings," J. Opt. Soc. Amer. A 13, 1024-1035 (1996).

L. Li, "Use of Fourier series in the
analysis of discontinuous periodic structures," J.
Opt. Soc. Amer. A 13, 1870-1876 (1996).

M. G. Moharam, E. B. Grann, D. A. Pommet, T. K. Gaylord, "Formulation for stable and
efficient implementation of the rigorous coupled-wave analysis of binary gratings," J. Opt. Soc. Amer. A 12, 1068-1076 (1995).

M. Nevière, E. Popov, R. Reinisch, "Electromagnetic resonances in linear and
nonlinear optics: Phenomenological study of grating behavior through the poles
and zeros of the scattering operator," J. Opt.
Soc. Amer. A 12, 513-523 (1995).

E. Anemogiannis, E. Glytsis, T. Gaylord, "Efficient solution of eigenvalue
equations of optical waveguiding structures," J.
Lightw. Technol. 12, 2080-2084 (1994).

Y. Hua, T. K. Sarkar, "On SVD for estimating generalized
eigenvalues of singular matrix pencil in noise," IEEE
Trans. Signal Process. 39, 892-900 (1991).

Y. Hua, T. K. Sarkar, "Matrix pencil and system poles," Signal Process. 21, 195-198 (1990).

Y. Hua, T. K. Sarkar, "Matrix pencil method for estimating
parameters of exponentially damped/undamped sinusoids in noise," IEEE Trans. Acoust., Speech, Signal Process. 38, 814-824 (1990).

L. Yau, A. Ben-Israel, "The Newton and Halley methods
for complex roots," Am. Math. Mon. 105, 806-818 (1998).

A. D. Rakic, A. B. Djurišic, J. M. Elazar, M. L. Majewski, "Optical properties of metallic
films for vertical-cavity optoelectronic devices," Appl.
Opt. 37, 5271-5283 (1998).

Y. Hua, T. K. Sarkar, "On SVD for estimating generalized
eigenvalues of singular matrix pencil in noise," IEEE
Trans. Signal Process. 39, 892-900 (1991).

V. Lomakin, E. Michielssen, "Transmission of transient plane
waves through perfect electrically conducting plates perforated by periodic
arrays of subwavelength holes," IEEE Trans.
Antennas Propag. 54, 970-984 (2006).

Y. Hua, T. K. Sarkar, "Matrix pencil method for estimating
parameters of exponentially damped/undamped sinusoids in noise," IEEE Trans. Acoust., Speech, Signal Process. 38, 814-824 (1990).

E. Anemogiannis, E. Glytsis, T. Gaylord, "Efficient solution of eigenvalue
equations of optical waveguiding structures," J.
Lightw. Technol. 12, 2080-2084 (1994).

D. A. Bykov, L. L. Doskolovich, "Magneto-optical resonances
in periodic dielectric structures magnetized in plane," J.
Mod. Opt. 57, 1611-1618 (2010).

L. Li, "Use of Fourier series in the
analysis of discontinuous periodic structures," J.
Opt. Soc. Amer. A 13, 1870-1876 (1996).

M. Nevière, E. Popov, R. Reinisch, "Electromagnetic resonances in linear and
nonlinear optics: Phenomenological study of grating behavior through the poles
and zeros of the scattering operator," J. Opt.
Soc. Amer. A 12, 513-523 (1995).

T. Vallius, J. Tervo, P. Vahimaa, J. Turunen, "Electromagnetic field computation in semiconductor
laser resonators," J. Opt. Soc. Amer. A 23, 906-911 (2006).

T. Weiss, N. A. Gippius, S. G. Tikhodeev, G. Granet, H. Giessen, "Derivation of plasmonic resonances
in the Fourier modal method with adaptive spatial resolution and matched coordinates," J. Opt. Soc. Amer. A 28, 238-244 (2011).

M. G. Moharam, E. B. Grann, D. A. Pommet, T. K. Gaylord, "Formulation for stable and
efficient implementation of the rigorous coupled-wave analysis of binary gratings," J. Opt. Soc. Amer. A 12, 1068-1076 (1995).

L. Li, "Field singularities at lossless
metal-dielectric arbitrary-angle edges and their ramifications to the numerical
modeling of gratings," J. Opt. Soc. Amer. A 29, 593-604 (2012).

L. Li, "Formulation and comparison
of two recursive matrix algorithms for modeling layered diffraction gratings," J. Opt. Soc. Amer. A 13, 1024-1035 (1996).

A. Akimov, N. Gippius, S. Tikhodeev, "Optical Fano resonances in
photonic crystal slabs near diffraction threshold anomalies," JETP Lett. 93, 427-430 (2011).

C. Chen, P. Berini, D. Feng, S. Tanev, V. Tzolov, "Efficient and accurate numerical analysis of multilayer
planar optical waveguides in lossy anisotropic media," Opt.
Exp. 7, 260-272 (2000).

N. A. Gippius, T. Weiss, S. G. Tikhodeev, H. Giessen, "Resonant mode coupling of optical resonances
in stacked nanostructures," Opt. Exp. 18, 7569-7574 (2010).

S. G. Tikhodeev, A. L. Yablonskii, E. A. Muljarov, N. A. Gippius, T. Ishihara, "Quasiguided modes and optical
properties of photonic crystal slabs," Phys.
Rev. B 66, 045102 (2002).

E. Centeno, D. Felbacq, "Optical bistability in finite-size
nonlinear bidimensional photonic crystals doped by a microcavity," Phys. Rev. B 62, R7683-R7686 (2000).

E. Centeno, D. Felbacq, "Rabi oscillations in bidimensional
photonic crystals," Phys. Rev. B 62, 10 101-10 108 (2000).

M. Liscidini, D. Gerace, L. C. Andreani, J. E. Sipe, "Scattering-matrix analysis
of periodically patterned multilayers with asymmetric unit cells and birefringent
media," Phys. Rev. B 77, (2008) Art. ID 035324.

D. Felbacq, "Numerical computation of resonance
poles in scattering theory," Phys. Rev. E 64, (2001) Art.
ID 047702.

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, H. A. Haus, "Channel drop tunneling through
localized states," Phys. Rev. Lett. 80, 960-963 (1998).

N. A. Gippius, S. G. Tikhodeev, "The scattering matrix and optical
properties of metamaterials," Phys. Usp. 52, 1027-1030 (2009).

Y. Hua, T. K. Sarkar, "Matrix pencil and system poles," Signal Process. 21, 195-198 (1990).

F. R. Gantmacher, The Theory of Matrices (Nauka, 1988).

A. S. Householder, The Numerical Treatment of a Single
Nonlinear Equation (McGraw-Hill, 1970).

T. Weiss, Advanced numerical and semi-analytical
scattering matrix calculations for modern nano-optics Ph.D.
dissertation Fakult ä t
Mathematik und Physik Physikalisches Institut der UniversitätStuttgartGermany (2011).

D. Felbacq, "Finding resonance poles by
means of cauchy integrals," Proc. 13th Int.
Conf. Transparent Optical Networks (2011).

F. Zolla, G. Renversez, A. Nicolet, B. Kuhlmey, S. Guenneau, D. Felbacq, Foundations of Photonic Crystal
Fibres (Imperial College, 2005).