J. Tervo, M. Kuittinen, P. Vahimaa, J. Turunen, T. Aalto, P. Heimala, M. Leppihalme, “Efficient Bragg waveguide-grating analysis by quasi-rigorous approach based on Redheffer’s star product,” Opt. Commun. 198, 265–272 (2001).

[CrossRef]

G. Granet, J. Chandezon, J. P. Plumey, K. Raniriharinosy, “Reformulation of the coordinate transformation method through the concept of adaptive spatial resolution: application to trapezoidal gratings,” J. Opt. Soc. Am. A 18, 2102–2108 (2001).

[CrossRef]

L. C. Botten, N. A. Nicorovici, A. A. Asatryan, R. C. McPhedran, C. M. de Sterke, P. A. Robinson, “Formulation for electromagnetic scattering and propagation through grating stacks of metallic and dielectric cylinders for photonic crystal calculations. Part I. Method,” J. Opt. Soc. Am. A 17, 2165–2176 (2000).

[CrossRef]

L. C. Botten, N. A. Nicorovici, A. A. Asatryan, R. C. McPhedran, C. M. de Sterke, P. A. Robinson, “Formulation for electromagnetic scattering and propagation through grating stacks of metallic and dielectric cylinders for photonic crystal calculations. Part II. Properties and implementation,” J. Opt. Soc. Am. A 17, 2177–2190 (2000).

[CrossRef]

E. Popov, B. Bozhkov, “Differential method applied for photonic crystals,” Appl. Opt. 39, 4926–4932 (2000).

[CrossRef]

P. Lalanne, E. Silberstein, “Fourier-modal method applied to waveguide computational problems,” Opt. Lett. 25, 1092–1094 (2000).

[CrossRef]

L. Li, J. Chandezon, “Improvement of the coordinate transformation method for surface-relief gratings with sharp edges,” J. Opt. Soc. Am. A 13, 2247–2255 (1996).

[CrossRef]

L. Li, G. Granet, J. P. Plumey, J. Chandezon, “Some topics in extending the C method to multilayer gratings of different profiles,” Pure Appl. Opt. 5, 141–156 (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, “Formulation and comparison of two recursive matrix algorithms for modeling layered diffraction gratings,” J. Opt. Soc. Am. A 13, 1024–1035 (1996).

[CrossRef]

E. Yablonovitch, D. F. Sievenpiper, “Knitting a finer net for photons,” Nature (London) 383, 665–666 (1996).

[CrossRef]

T. H. Krauss, R. M. De La Rue, S. Brand, “Two-dimensional photonic-bandgap structures operating at near-infrared wavelength,” Nature (London) 383, 699–702 (1996).

[CrossRef]

G. Granet, J.-P. Plumey, J. Chandezon, “Scattering by a periodically corrugated dielectric layer with non-identical faces,” Pure Appl. Opt. 4, 1–5 (1995).

[CrossRef]

T. W. Preist, N. P. K. Cotter, J. R. Samples, “Periodic multilayer gratings of arbitrary shape,” J. Opt. Soc. Am. A 12, 1740–1748 (1995).

[CrossRef]

M. G. Moharam, D. A. Pommet, E. B. Grann, T. K. Gaylord, “Stable implementation of the rigorous coupled-wave analysis for surface-relief gratings: enhanced transmittance matrix approach,” J. Opt. Soc. Am. A 12, 1077–1086 (1995).

[CrossRef]

E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58, 2059–2062 (1987).

[CrossRef]
[PubMed]

E. Popov, L. Mashev, “Convergence of Rayleigh–Fourier method and rigorous differential method for relief diffraction gratings,” Opt. Acta 33, 593–605 (1986).

[CrossRef]

J. Tervo, M. Kuittinen, P. Vahimaa, J. Turunen, T. Aalto, P. Heimala, M. Leppihalme, “Efficient Bragg waveguide-grating analysis by quasi-rigorous approach based on Redheffer’s star product,” Opt. Commun. 198, 265–272 (2001).

[CrossRef]

L. C. Botten, N. A. Nicorovici, A. A. Asatryan, R. C. McPhedran, C. M. de Sterke, P. A. Robinson, “Formulation for electromagnetic scattering and propagation through grating stacks of metallic and dielectric cylinders for photonic crystal calculations. Part I. Method,” J. Opt. Soc. Am. A 17, 2165–2176 (2000).

[CrossRef]

L. C. Botten, N. A. Nicorovici, A. A. Asatryan, R. C. McPhedran, C. M. de Sterke, P. A. Robinson, “Formulation for electromagnetic scattering and propagation through grating stacks of metallic and dielectric cylinders for photonic crystal calculations. Part II. Properties and implementation,” J. Opt. Soc. Am. A 17, 2177–2190 (2000).

[CrossRef]

L. C. Botten, N. A. Nicorovici, A. A. Asatryan, R. C. McPhedran, C. M. de Sterke, P. A. Robinson, “Formulation for electromagnetic scattering and propagation through grating stacks of metallic and dielectric cylinders for photonic crystal calculations. Part II. Properties and implementation,” J. Opt. Soc. Am. A 17, 2177–2190 (2000).

[CrossRef]

L. C. Botten, N. A. Nicorovici, A. A. Asatryan, R. C. McPhedran, C. M. de Sterke, P. A. Robinson, “Formulation for electromagnetic scattering and propagation through grating stacks of metallic and dielectric cylinders for photonic crystal calculations. Part I. Method,” J. Opt. Soc. Am. A 17, 2165–2176 (2000).

[CrossRef]

T. H. Krauss, R. M. De La Rue, S. Brand, “Two-dimensional photonic-bandgap structures operating at near-infrared wavelength,” Nature (London) 383, 699–702 (1996).

[CrossRef]

G. Granet, J. Chandezon, J. P. Plumey, K. Raniriharinosy, “Reformulation of the coordinate transformation method through the concept of adaptive spatial resolution: application to trapezoidal gratings,” J. Opt. Soc. Am. A 18, 2102–2108 (2001).

[CrossRef]

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

[CrossRef]

L. Li, G. Granet, J. P. Plumey, J. Chandezon, “Some topics in extending the C method to multilayer gratings of different profiles,” Pure Appl. Opt. 5, 141–156 (1996).

[CrossRef]

L. Li, J. Chandezon, “Improvement of the coordinate transformation method for surface-relief gratings with sharp edges,” J. Opt. Soc. Am. A 13, 2247–2255 (1996).

[CrossRef]

G. Granet, J.-P. Plumey, J. Chandezon, “Scattering by a periodically corrugated dielectric layer with non-identical faces,” Pure Appl. Opt. 4, 1–5 (1995).

[CrossRef]

J. Chandezon, M. T. Dupuis, G. Cornet, D. Maystre, “Multicoated gratings: a differential formalism applicable in the entire optical region,” J. Opt. Soc. Am. 72, 839–846 (1982).

[CrossRef]

B. Datta, A. N. Singh, History of Hindu Mathematics, 2nd ed. (Asia Publishing House, Bombay, India, 1962), pp. 75–77.

T. H. Krauss, R. M. De La Rue, S. Brand, “Two-dimensional photonic-bandgap structures operating at near-infrared wavelength,” Nature (London) 383, 699–702 (1996).

[CrossRef]

L. C. Botten, N. A. Nicorovici, A. A. Asatryan, R. C. McPhedran, C. M. de Sterke, P. A. Robinson, “Formulation for electromagnetic scattering and propagation through grating stacks of metallic and dielectric cylinders for photonic crystal calculations. Part I. Method,” J. Opt. Soc. Am. A 17, 2165–2176 (2000).

[CrossRef]

L. C. Botten, N. A. Nicorovici, A. A. Asatryan, R. C. McPhedran, C. M. de Sterke, P. A. Robinson, “Formulation for electromagnetic scattering and propagation through grating stacks of metallic and dielectric cylinders for photonic crystal calculations. Part II. Properties and implementation,” J. Opt. Soc. Am. A 17, 2177–2190 (2000).

[CrossRef]

G. Granet, J. Chandezon, J. P. Plumey, K. Raniriharinosy, “Reformulation of the coordinate transformation method through the concept of adaptive spatial resolution: application to trapezoidal gratings,” J. Opt. Soc. Am. A 18, 2102–2108 (2001).

[CrossRef]

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

[CrossRef]

L. Li, G. Granet, J. P. Plumey, J. Chandezon, “Some topics in extending the C method to multilayer gratings of different profiles,” Pure Appl. Opt. 5, 141–156 (1996).

[CrossRef]

G. Granet, J.-P. Plumey, J. Chandezon, “Scattering by a periodically corrugated dielectric layer with non-identical faces,” Pure Appl. Opt. 4, 1–5 (1995).

[CrossRef]

J. Tervo, M. Kuittinen, P. Vahimaa, J. Turunen, T. Aalto, P. Heimala, M. Leppihalme, “Efficient Bragg waveguide-grating analysis by quasi-rigorous approach based on Redheffer’s star product,” Opt. Commun. 198, 265–272 (2001).

[CrossRef]

T. H. Krauss, R. M. De La Rue, S. Brand, “Two-dimensional photonic-bandgap structures operating at near-infrared wavelength,” Nature (London) 383, 699–702 (1996).

[CrossRef]

J. Tervo, M. Kuittinen, P. Vahimaa, J. Turunen, T. Aalto, P. Heimala, M. Leppihalme, “Efficient Bragg waveguide-grating analysis by quasi-rigorous approach based on Redheffer’s star product,” Opt. Commun. 198, 265–272 (2001).

[CrossRef]

J. Tervo, M. Kuittinen, P. Vahimaa, J. Turunen, T. Aalto, P. Heimala, M. Leppihalme, “Efficient Bragg waveguide-grating analysis by quasi-rigorous approach based on Redheffer’s star product,” Opt. Commun. 198, 265–272 (2001).

[CrossRef]

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

[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, “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, J. Chandezon, “Improvement of the coordinate transformation method for surface-relief gratings with sharp edges,” J. Opt. Soc. Am. A 13, 2247–2255 (1996).

[CrossRef]

L. Li, G. Granet, J. P. Plumey, J. Chandezon, “Some topics in extending the C method to multilayer gratings of different profiles,” Pure Appl. Opt. 5, 141–156 (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]

E. Popov, L. Mashev, “Convergence of Rayleigh–Fourier method and rigorous differential method for relief diffraction gratings,” Opt. Acta 33, 593–605 (1986).

[CrossRef]

L. C. Botten, N. A. Nicorovici, A. A. Asatryan, R. C. McPhedran, C. M. de Sterke, P. A. Robinson, “Formulation for electromagnetic scattering and propagation through grating stacks of metallic and dielectric cylinders for photonic crystal calculations. Part I. Method,” J. Opt. Soc. Am. A 17, 2165–2176 (2000).

[CrossRef]

L. C. Botten, N. A. Nicorovici, A. A. Asatryan, R. C. McPhedran, C. M. de Sterke, P. A. Robinson, “Formulation for electromagnetic scattering and propagation through grating stacks of metallic and dielectric cylinders for photonic crystal calculations. Part II. Properties and implementation,” J. Opt. Soc. Am. A 17, 2177–2190 (2000).

[CrossRef]

L. C. Botten, N. A. Nicorovici, A. A. Asatryan, R. C. McPhedran, C. M. de Sterke, P. A. Robinson, “Formulation for electromagnetic scattering and propagation through grating stacks of metallic and dielectric cylinders for photonic crystal calculations. Part II. Properties and implementation,” J. Opt. Soc. Am. A 17, 2177–2190 (2000).

[CrossRef]

L. C. Botten, N. A. Nicorovici, A. A. Asatryan, R. C. McPhedran, C. M. de Sterke, P. A. Robinson, “Formulation for electromagnetic scattering and propagation through grating stacks of metallic and dielectric cylinders for photonic crystal calculations. Part I. Method,” J. Opt. Soc. Am. A 17, 2165–2176 (2000).

[CrossRef]

G. Granet, J. Chandezon, J. P. Plumey, K. Raniriharinosy, “Reformulation of the coordinate transformation method through the concept of adaptive spatial resolution: application to trapezoidal gratings,” J. Opt. Soc. Am. A 18, 2102–2108 (2001).

[CrossRef]

L. Li, G. Granet, J. P. Plumey, J. Chandezon, “Some topics in extending the C method to multilayer gratings of different profiles,” Pure Appl. Opt. 5, 141–156 (1996).

[CrossRef]

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

[CrossRef]

G. Granet, J.-P. Plumey, J. Chandezon, “Scattering by a periodically corrugated dielectric layer with non-identical faces,” Pure Appl. Opt. 4, 1–5 (1995).

[CrossRef]

R. Redheffer, “Difference equations and functional equations in transmission-line theory,” Chap. 12 in Modern Mathematics for the Engineer, E. F. Beckenbach, ed. (McGraw-Hill, New York, 1961).

L. C. Botten, N. A. Nicorovici, A. A. Asatryan, R. C. McPhedran, C. M. de Sterke, P. A. Robinson, “Formulation for electromagnetic scattering and propagation through grating stacks of metallic and dielectric cylinders for photonic crystal calculations. Part I. Method,” J. Opt. Soc. Am. A 17, 2165–2176 (2000).

[CrossRef]

L. C. Botten, N. A. Nicorovici, A. A. Asatryan, R. C. McPhedran, C. M. de Sterke, P. A. Robinson, “Formulation for electromagnetic scattering and propagation through grating stacks of metallic and dielectric cylinders for photonic crystal calculations. Part II. Properties and implementation,” J. Opt. Soc. Am. A 17, 2177–2190 (2000).

[CrossRef]

E. Yablonovitch, D. F. Sievenpiper, “Knitting a finer net for photons,” Nature (London) 383, 665–666 (1996).

[CrossRef]

B. Datta, A. N. Singh, History of Hindu Mathematics, 2nd ed. (Asia Publishing House, Bombay, India, 1962), pp. 75–77.

J. Tervo, M. Kuittinen, P. Vahimaa, J. Turunen, T. Aalto, P. Heimala, M. Leppihalme, “Efficient Bragg waveguide-grating analysis by quasi-rigorous approach based on Redheffer’s star product,” Opt. Commun. 198, 265–272 (2001).

[CrossRef]

J. Tervo, M. Kuittinen, P. Vahimaa, J. Turunen, T. Aalto, P. Heimala, M. Leppihalme, “Efficient Bragg waveguide-grating analysis by quasi-rigorous approach based on Redheffer’s star product,” Opt. Commun. 198, 265–272 (2001).

[CrossRef]

J. Turunen, “Diffraction theory of microrelief gratings,” Chap. 2 in Micro-Optics: Elements, Systems, and Applications, H. P. Herzig, ed. (Taylor & Francis, London, 1997).

J. Tervo, M. Kuittinen, P. Vahimaa, J. Turunen, T. Aalto, P. Heimala, M. Leppihalme, “Efficient Bragg waveguide-grating analysis by quasi-rigorous approach based on Redheffer’s star product,” Opt. Commun. 198, 265–272 (2001).

[CrossRef]

E. Yablonovitch, D. F. Sievenpiper, “Knitting a finer net for photons,” Nature (London) 383, 665–666 (1996).

[CrossRef]

E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58, 2059–2062 (1987).

[CrossRef]
[PubMed]

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

[CrossRef]

E. Popov, B. Bozhkov, “Differential method applied for photonic crystals,” Appl. Opt. 39, 4926–4932 (2000).

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

[CrossRef]

T. W. Preist, N. P. K. Cotter, J. R. Samples, “Periodic multilayer gratings of arbitrary shape,” J. Opt. Soc. Am. A 12, 1740–1748 (1995).

[CrossRef]

L. Li, J. Chandezon, “Improvement of the coordinate transformation method for surface-relief gratings with sharp edges,” J. Opt. Soc. Am. A 13, 2247–2255 (1996).

[CrossRef]

G. Granet, J. Chandezon, J. P. Plumey, K. Raniriharinosy, “Reformulation of the coordinate transformation method through the concept of adaptive spatial resolution: application to trapezoidal gratings,” J. Opt. Soc. Am. A 18, 2102–2108 (2001).

[CrossRef]

D. Nyyssonen, C. P. Kirk, “Optical microscope imaging of lines patterned in thick layers with variable edge geometry,” J. Opt. Soc. Am. A 5, 1270–1280 (1988).

[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]

M. G. Moharam, D. A. Pommet, E. B. Grann, T. K. Gaylord, “Stable implementation of the rigorous coupled-wave analysis for surface-relief gratings: enhanced transmittance matrix approach,” J. Opt. Soc. Am. A 12, 1077–1086 (1995).

[CrossRef]

T. Vallius, “Comparing the Fourier modal method FMM with the C method: analysis of conducting multilevel gratings in TM polarization,” J. Opt. Soc. Am. A 19, 1555–1562 (2002).

[CrossRef]

L. C. Botten, N. A. Nicorovici, A. A. Asatryan, R. C. McPhedran, C. M. de Sterke, P. A. Robinson, “Formulation for electromagnetic scattering and propagation through grating stacks of metallic and dielectric cylinders for photonic crystal calculations. Part I. Method,” J. Opt. Soc. Am. A 17, 2165–2176 (2000).

[CrossRef]

L. C. Botten, N. A. Nicorovici, A. A. Asatryan, R. C. McPhedran, C. M. de Sterke, P. A. Robinson, “Formulation for electromagnetic scattering and propagation through grating stacks of metallic and dielectric cylinders for photonic crystal calculations. Part II. Properties and implementation,” J. Opt. Soc. Am. A 17, 2177–2190 (2000).

[CrossRef]

E. Yablonovitch, D. F. Sievenpiper, “Knitting a finer net for photons,” Nature (London) 383, 665–666 (1996).

[CrossRef]

T. H. Krauss, R. M. De La Rue, S. Brand, “Two-dimensional photonic-bandgap structures operating at near-infrared wavelength,” Nature (London) 383, 699–702 (1996).

[CrossRef]

E. Popov, L. Mashev, “Convergence of Rayleigh–Fourier method and rigorous differential method for relief diffraction gratings,” Opt. Acta 33, 593–605 (1986).

[CrossRef]

J. Tervo, M. Kuittinen, P. Vahimaa, J. Turunen, T. Aalto, P. Heimala, M. Leppihalme, “Efficient Bragg waveguide-grating analysis by quasi-rigorous approach based on Redheffer’s star product,” Opt. Commun. 198, 265–272 (2001).

[CrossRef]

E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58, 2059–2062 (1987).

[CrossRef]
[PubMed]

L. Li, G. Granet, J. P. Plumey, J. Chandezon, “Some topics in extending the C method to multilayer gratings of different profiles,” Pure Appl. Opt. 5, 141–156 (1996).

[CrossRef]

G. Granet, J.-P. Plumey, J. Chandezon, “Scattering by a periodically corrugated dielectric layer with non-identical faces,” Pure Appl. Opt. 4, 1–5 (1995).

[CrossRef]

J. Turunen, “Diffraction theory of microrelief gratings,” Chap. 2 in Micro-Optics: Elements, Systems, and Applications, H. P. Herzig, ed. (Taylor & Francis, London, 1997).

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

R. Redheffer, “Difference equations and functional equations in transmission-line theory,” Chap. 12 in Modern Mathematics for the Engineer, E. F. Beckenbach, ed. (McGraw-Hill, New York, 1961).

B. Datta, A. N. Singh, History of Hindu Mathematics, 2nd ed. (Asia Publishing House, Bombay, India, 1962), pp. 75–77.