MC Grating Software of a diffraction grating analysis and design that would run on a PC was developed from
1999 by Dr. Nikolay Lyndin – senior physicist of General Physics Institute, Moscow. Since 2018 the
software development is supported by Boris Usievich and Alexander Lyndin (lyndin1985@gmail.com).
For many years the author is involved with solving scientific and practical problems of using multilayer
grating structures in grating couplers, biochemistry sensors, laser resonator modes selection and others.
For this reason from the beginning this grating software was designed for personal use to insure a maximum
convenience for the user.
Initially the grating software included C-method [1-4] based codes that are very
appropriate for smooth grating profile analysis. In 2003 the grating software was extended with True Modes
Method [5-9] (TMM) and from 2007 with Fourier Modes Method [10-12]
(FMM). The modal methods codes are naturally adapted for the lamellar gratings and are complementary to the
C-method based codes. Reliable lamellar modes searching algorithm in TMM and suppression of the FMM
instabilities in highly conductive gratings [12] were developed and implemented. From
2008 Crossed-grating (FMM) with an automatic generation of NV-Field [21-23] and from 2010
(C-method [20]) software are available.
Additional features for obtaining results, scanning and optimization were added in 2016 and 2017. Advanced
features allow the following:
- To expand the possibility of output for obtained data.
- To extend scanning and optimization features when using any valid combination of the structure
parameters. Restrictions only apply to the parameters whose values alter position of other parameters in
the text structure (row and column indices).
- To simplify the calculations under the condition of Littrow or user-specified condition, using a valid
set of parameters.
References:
- J. Chandezon, D. Maystre, G. Raoult, "A new theoretical method for diffraction gratings and its
numerical application", J. Optics (Paris), 11, 235-241 (1980) [View]
- J. Chandezon, M. T. Dupuis, and G. Cornet, "Multicoated gratings: a differential formalism
applicable in the entire optical region", J. Opt. Soc. Am. 72, 839-846 (1982) [View]
- Lifeng Li, "Multilayer-coated diffraction gratings: differential method of Chandezon et al.
revisited", J. Opt. Soc. Am. 11, 2816-2828 (1994) [View]
- 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) [View]
- L. C. Botten, M. S. Graig, R. C. Mcphedran, J. L. Adams, and J. R. Andrewartha, "The dielectric
lamellar diffraction grating", Opt. Acta 28, 413-428 (1981) [View]
- L. C. Botten, M. S. Graig, R. C. Mcphedran, J. L. Adams, and J. R. Andrewartha, "The finitely
conducting lamellar diffraction grating", Opt. Acta 28, 1087-1102 (1981) [View]
- L. C. Botten, M. S. Graig, R. C. Mcphedran, "Highly conducting lamellar diffraction gratings",
Opt. Acta 28, 1103-1106 (1981) [View]
- Lifeng Li, "A modal analysis of lamella diffraction gratings in conical mountings", Journal of
Modern Optics, 40, 553-573 (1993) [View]
- M. Foresti, L. Menez, A. V. Tishchenko, "Modal method in deep metal-dielectric gratings: the
decisive role of hidden modes", J. Opt. Soc. Am. A, 23, 2501-2509 (2006) [View]
- 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) [View]
- Lifeng Li, "Use of Fourier series in the analysis of discontinuous periodic structures", J.
Opt. Soc. Am. A, 13, 1870-1876 (1996) [View]
- N. Lyndin, O. Parriaux and A.V. Tishchenko, "Modal analysis and suppression of the FMM
instabilities in highly conductive gratings", J. Opt. Soc. Am. A, 24, 3781-3788
(2007) [View]
- S. M. Loktev, N. M. Lyndin, O. Parriaux, V. A. Sychugov, A. V. Tishchenko, "Reflection of a finite
light beam from a finite waveguide grating", Sov. J. Quantum Electron. 27, 445-449
(1997) [View]
- R. Fletcher, M.J.D. Powell, "A rapidly convergent descent method for minimization", The
Computer Journal, 6, 163-168 (1963)
- 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
- N. M. Lyndin, "Optical grating structures and method for their manufacture", PCT Patent
WO/2002/082130 October 17, 2002
- V. A. Sychugov, V. A. Mikhailov, V. A. Kondratyuk, N. M. Lyndin, J. Frahm, A. I. Zagumennyi, Yu. D.
Zavartsev, P. A. Studenikin, "Short-wavelength (λ = 914 nm) microlaser operating on an Nd3+:YVO4
crystal", QUANTUM ELECTRON, 30, 13-14 (2000) [View]
- N. Destouches, J.-C. Pommier, O. Parriaux, T. Clausnitzer, N. Lyndin, S. Tonchev, "Narrow band
resonant grating of 100% reflection under normal incidence", Optics Express, 14,
12613-12622 (2006) [View]
- N. Lyndin, M. Flury, S. Tonchev, R. Fechner, O Parriaux, "Design and fabrication of an
all-dielectric grating with top-hat high diffraction efficiency over a broad spectral range", J.
European Optical Society – Rapid Publications 2, 07019-1-5 (2007) [View]
- G. 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,
1121-1131 (1998) [View]
- Evgeni Popov, Michel Nevie`re, "Grating theory: new equations in Fourier space leading to fast
converging results for TM polarization", J. Opt. Soc. Am. A 17, 1773-1784 (2000) [View]
- Evgeni Popov, Michel Nevie`re, "Maxwell equations in Fourier space: fast-converging formulation for
diffraction by arbitrary shaped, periodic, anisotropic media", J. Opt. Soc. Am. A
18, 2886-2894 (2001) [View]
- 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, 2880-2890 (2007) [View]
- S. I. Derzhavin, O. A. Dukel', N. M. Lyndin, "Coherent summation of the radiation of a single-mode
laser diode array", QUANTUM ELECTRON, 42, 561-564 (2012) [View]
- J. Chandezon, "Les equations de Maxwell sous forme covariante" (thanks to Jean Chandezon for
provided thesis) [View]