Publications

Numbered as on the site since 2012, so that [17] in the text means the same paper everywhere. Each hosted paper has its own page with a short account of what it contributes and which code uses it; the full text is linked from there.

Methods the codes implement

1. [1]
   J Chandezon, G Raoult and D Maystre, “A new theoretical method for diffraction gratings and its numerical application”, J. Opt. 11, 235-241 (1980).

   doi:10.1088/0150-536x/11/4/005About this paperCited on: About MC Grating Software, The C method (Chandezon), Les équations de Maxwell sous forme covariante, Publications
2. [2]
   J. Chandezon, M. T. Dupuis, G. Cornet and D. Maystre, “Multicoated gratings: a differential formalism applicable in the entire optical region”, J. Opt. Soc. Am. 72, 839 (1982).

   doi:10.1364/josa.72.000839About this paperCited on: The C method (Chandezon), A new theoretical method for diffraction gratings and its numerical application, Publications
3. [3]
   Lifeng Li, “Multilayer-coated diffraction gratings: differential method of Chandezon et al revisited”, J. Opt. Soc. Am. A 11, 2816 (1994).

   doi:10.1364/josaa.11.002816About this paperCited on: The C method (Chandezon)
4. [4]
   Lifeng Li, G Granet, J P Plumey and J Chandezon, “Some topics in extending the C method to multilayer gratings of different profiles”, Pure Appl. Opt. 5, 141-156 (1996).

   doi:10.1088/0963-9659/5/2/002About this paperCited on: The C method (Chandezon), Multicoated gratings: a differential formalism applicable in the entire optical region
5. [5]
   I.C. Botten, M.S. Craig, R.C. McPhedran, J.L. Adams and J.R. Andrewartha, “The Dielectric Lamellar Diffraction Grating”, Optica Acta: International Journal of Optics 28, 413-428 (1981).

   doi:10.1080/713820571About this paperCited on: About MC Grating Software, The modal method (RCWA / FMM), Publications
6. [6]
   L.C. Botten, M.S. Craig, R.C. McPhedran, J.L. Adams and J.R. Andrewartha, “The Finitely Conducting Lamellar Diffraction Grating”, Optica Acta: International Journal of Optics 28, 1087-1102 (1981).

   doi:10.1080/713820680About this paperCited on: The modal method (RCWA / FMM)
7. [7]
   L.C. Botten, M.S. Craig and R.C. McPhedran, “Highly Conducting Lamellar Diffraction Gratings”, Optica Acta: International Journal of Optics 28, 1103-1106 (1981).

   doi:10.1080/713820701About this paperCited on: The modal method (RCWA / FMM)
8. [8]
   Lifeng Li, “A Modal Analysis of Lamellar Diffraction Gratings in Conical Mountings”, Journal of Modern Optics 40, 553-573 (1993).

   doi:10.1080/09500349314550631About this paperCited on: The modal method (RCWA / FMM)
9. [9]
   Maud Foresti, Ludivine Menez and Alexander V. Tishchenko, “Modal method in deep metal-dielectric gratings: the decisive role of hidden modes”, J. Opt. Soc. Am. A 23, 2501 (2006).

   doi:10.1364/josaa.23.002501About this paperCited on: About MC Grating Software, The modal method (RCWA / FMM)
10. [10]
    Philippe Lalanne and G. Michael Morris, “Highly improved convergence of the coupled-wave method for TM polarization”, J. Opt. Soc. Am. A 13, 779 (1996).

    doi:10.1364/josaa.13.000779About this paperCited on: About MC Grating Software, The modal method (RCWA / FMM), Publications
11. [11]
    Lifeng Li, “Use of Fourier series in the analysis of discontinuous periodic structures”, J. Opt. Soc. Am. A 13, 1870 (1996).

    doi:10.1364/josaa.13.001870About this paperCited on: The modal method (RCWA / FMM), Highly improved convergence of the coupled-wave method for TM polarization, Publications
12. [14]
    R. Fletcher and M. J. D. Powell, “A Rapidly Convergent Descent Method for Minimization”, The Computer Journal 6, 163-168 (1963).

    doi:10.1093/comjnl/6.2.163No copy hostedCited on: Optimization, Products
13. [20]
    Gérard Granet, “Analysis of diffraction by surface-relief crossed gratings with use of the Chandezon method: application to multilayer crossed gratings”, J. Opt. Soc. Am. A 15, 1121 (1998).

    doi:10.1364/josaa.15.001121About this paperCited on: About MC Grating Software, The C method (Chandezon), Publications
14. [21]
    Evgeni Popov and Michel Nevière, “Grating theory: new equations in Fourier space leading to fast converging results for TM polarization”, J. Opt. Soc. Am. A 17, 1773 (2000).

    doi:10.1364/josaa.17.001773About this paperCited on: About MC Grating Software, The modal method (RCWA / FMM)
15. [22]
    Evgeny Popov and Michel Nevière, “Maxwell equations in Fourier space: fast-converging formulation for diffraction by arbitrary shaped, periodic, anisotropic media”, J. Opt. Soc. Am. A 18, 2886 (2001).

    doi:10.1364/josaa.18.002886About this paperCited on: The modal method (RCWA / FMM)
16. [23]
    Thomas Schuster, Johannes Ruoff, Norbert Kerwien, Stephan Rafler and Wolfgang Osten, “Normal vector method for convergence improvement using the RCWA for crossed gratings”, J. Opt. Soc. Am. A 24, 2880 (2007).

    doi:10.1364/josaa.24.002880About this paperCited on: The modal method (RCWA / FMM), Use of Fourier series in the analysis of discontinuous periodic structures, Publications
17. [25]
    Jean Chandezon, “Les équations de Maxwell sous forme covariante”, Thesis chapter, Université de Clermont-Ferrand ().

    About this paperCited on: The C method (Chandezon)
18. [26]
    Jean Chandezon and Gérard Granet, “Diffraction by gratings: from the C-method to the stochastic C-method”, J. Opt. Soc. Am. A 41, 1675 (2024).

    doi:10.1364/JOSAA.530262No copy hostedCited on: The C method (Chandezon), Stochastic C-method, Products

Work by the authors of MC Grating

1. [12]
   Nikolay M. Lyndin, Olivier Parriaux and Alexander V. Tishchenko, “Modal analysis and suppression of the Fourier modal method instabilities in highly conductive gratings”, J. Opt. Soc. Am. A 24, 3781 (2007).

   doi:10.1364/josaa.24.003781About this paperCited on: About MC Grating Software, The modal method (RCWA / FMM), Publications
2. [13]
   S M Loktev, N M Lyndin, O Parriaux, V A Sychugov and A V Tishchenko, “Reflection of a finite light beam from a finite waveguide grating”, Quantum Electron. 27, 445-449 (1997).

   doi:10.1070/qe1997v027n05abeh000959About this paperCited on: About MC Grating Software, Resonance search, Products
3. [15]
   N. M. Lyndin, V. A. Sychugov, A. V. Tishchenko, B. A. Usievich, "Analytical methods and apparatus employing an optical sensor device with refractive index modulation", US Patent 6, 218, 194 April 17, 2001

   No copy hostedCited on: Products
4. [16]
   N. M. Lyndin, "Optical grating structures and method for their manufacture", PCT Patent WO/2002/082130 October 17, 2002

   No copy hostedCited on: Products

Results computed with MC Grating

1. [17]
   V A Sychugov, V A Mikhailov, V A Kondratyuk, N M Lyndin, J Frahm, A I Zagumennyi, Yu D Zavartsev and P A Studenikin, “Short-wavelength (λ = 914 nm) microlaser operating on an Nd³⁺:YVO₄ crystal”, Quantum Electron. 30, 13-14 (2000).

   doi:10.1070/qe2000v030n01abeh001648About this paperCited on: About MC Grating Software, Optimization, Products, Examples
2. [18]
   Nathalie Destouches, Jean-Claude Pommier, Olivier Parriaux, Tina Clausnitzer, Nikolai Lyndin and Svetlen Tonchev, “Narrow band resonant grating of 100% reflection under normal incidence”, Opt. Express 14, 12613 (2006).

   doi:10.1364/oe.14.012613About this paperCited on: About MC Grating Software, Products
3. [19]
   N. Lyndin, M. Flury, S. Tonchev, R. Fechner and O. Parriaux, “Design and fabrication of an all-dielectric grating with top-hat high diffraction efficiency over a broad spectral range”, J. Eur. Opt. Soc.-Rapid Publ. 2, 07019 (2007).

   doi:10.2971/jeos.2007.07019About this paperCited on: About MC Grating Software, Products
4. [24]
   S I Derzhavin, O A Dyukel' and N M Lyndin, “Coherent summation of the radiation of a single-mode laser diode array”, Quantum Electron. 42, 561-564 (2012).

   doi:10.1070/qe2012v042n06abeh014826About this paperCited on: About MC Grating Software, Products, Examples
5. [27]
   I.M. Akhmedzhanov, J. Kh. Nurligareev and B.A. Usievich, “Modal analysis of the quasi-resonant extinction ratio enhancement in the amorphous silicon wire grid polarizer”, Opt. Commun. 549, 129912 (2023).

   doi:10.1016/j.optcom.2023.129912About this paperCited on: The modal method (RCWA / FMM), Products

A second, separate list of eight papers accompanies the modes-interference study.

How to cite MC Grating

N. M. Lyndin and B. A. Usievich, MC Grating Software, version 2026-05-25, General Physics Institute, Moscow.
https://mcgrating.com