Geodesic
The new mathematical model for the analysis of subtle substrate imperfections
Matematičeskoe modelirovanie, Tome 22 (2010) no. 5, pp. 122-130

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A novel mathematical model for the analysis subtle substrate imperfections such as flat pit and bump in a substrate has been proposed. An investigation has been carried out and the result of the application of the model has been obtained in the case of three-dimensional scattering problem for different types of substrate imperfections.
Keywords: substrate imperfections, scattering problem. 
A. V. Baryshev; Yu. A. Eremin. The new mathematical model for the analysis of subtle substrate imperfections. Matematičeskoe modelirovanie, Tome 22 (2010) no. 5, pp. 122-130. http://geodesic.mathdoc.fr/item/MM_2010_22_5_a11/
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[1] Eremin Yu. A., Sveshnikov A. G., Metod diskretnykh istochnikov v zadachakh elektromagnitnoi difraktsii, Izd-vo MGU, M., 1992, 182 pp.

[2] Zakharov E. V., Pimenov Yu. V., Chislennyi analiz difraktsii radiovoln, Radio i svyaz, M., 1982, 184 pp. | MR | Zbl

[3] Baryshev A. V., Eremin Yu. A., “Obosnovanie integro-funktsionalnogo metoda resheniya zadach difraktsii v prisutstvii poluprostranstva”, Differentsialnye uravneniya, 44:9 (2008), 1233–1239 | MR

[4] Eremin Yu. A., Orlov N. V., Sveshnikov A. G., “Models of Electromagnetic Scattering Problems Based on Discrete Sources Methods”, Generalized Multipole Techniques for Electromagnetic and Light Scattering, ed. T. Wriedt, Elsevier Science, Amsterdam, 1999, 39–79

[5] Eremin Yu. A., “Obobschenie opticheskoi teoremy na osnove integro-funktsionalnykh sootnoshenii”, Differentsialnye uravneniya, 43:9 (2007), 1168–1172 | MR | Zbl