Geodesic
Synthesis of highly efficient multilayer dielectric diffraction gratings for spectral combining of laser beams
Numerical methods and programming, Tome 22 (2021) no. 3, pp. 201-210.

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The paper is devoted to the synthesis of multilayer dielectric reflection diffraction gratings providing high-efficiency spectral combining of the beams with different wavelengths in a given diffraction order. The results are presented for solving the synthesis problems for multilayer dielectric diffraction gratings providing spectral combining in the first or minus first diffraction order. Besides, the synthesis problem for such gratings is solved with account taken of possible technological constraints imposed by the height of the grating profile (etch depth). The solution of the synthesis problem is obtained by means of Nelder-Mead minimization of the merit function depending on the grating parameters. At each minimization step the direct problem is solved using a combination of the incomplete Galerkin method and scattering matrix method.
Keywords: multilayer diffraction grating, spectral beam combining, incomplete Galerkin method, scattering matrix method, synthesis problem. 
@article{VMP_2021_22_3_a1,
     author = {A. A. Petukhov},
     title = {Synthesis of highly efficient multilayer dielectric diffraction gratings for spectral combining of laser beams},
     journal = {Numerical methods and programming},
     pages = {201--210},
     publisher = {mathdoc},
     volume = {22},
     number = {3},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2021_22_3_a1/}
}
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A. A. Petukhov. Synthesis of highly efficient multilayer dielectric diffraction gratings for spectral combining of laser beams. Numerical methods and programming, Tome 22 (2021) no. 3, pp. 201-210. http://geodesic.mathdoc.fr/item/VMP_2021_22_3_a1/