Diffraction of TE polarized electromagnetic waves by a nonlinear layer: saturated and Kerr nonlinearities. Issue 15 (17th November 2020)

• Record Type: Journal Article
• Authors: Smirnov, Yury; Smolkin, Eugene; Kurseeva, Valery
• Is Part Of: Applicable analysis. Volume 99:Issue 15(2020)
• Page Start: 2692
• Page End: 2706
• Publication Date: 2020-11-17
• Subjects: Michael Klibanov; TE polarized electromagnetic waves -- Kerr nonlinearity -- nonlinearity with saturation -- Maxwell's equations; 78A45 -- 78A60 -- 65L10; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2019.1579905
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : The diffraction of a TE wave by a dielectric layer filled with a nonlinear medium is considered. The layer is located between two half-spaces with constant permittivities. Two types of nonlinearities (nonlinearity with saturation and Kerr nonlinearity) are considered and compared. In this paper, we show the difference between solvability results of the problem in these cases. Namely the diffraction problem with saturated nonlinearity has a unique solution under some additional conditions. At the same time, the diffraction problem in the case of Kerr nonlinearity has an infinite number of solutions. The analytical and numerical solution techniques are developed. Numerical results are presented.