Work

Algorithm for Searching Inhomogeneities in Inverse Nonlinear Diﬀraction Problems

Year: 2024

Type: article

Abstract: This study aims to solve the inverse problem for determining the heterogeneity of an object. The scattered ﬁeld was measured outside its boundaries at a set of observation points. Both the radiation source and observation points were assumed to be located outside the object. The scattered ﬁeld was modeled by solving the direct problem. The inverse problem was solved using a two-step method. Nonlinearities of various types were considered. When introducing the computational grid, the generalized grid method was applied. A numerical method for solving the problem was proposed and implemented. The numerical results obtained illustrate how the problem is solved for speciﬁed experimental data.

Source: Učenye zapiski Kazanskogo gosudarstvennogo universiteta. Seriâ Fiziko-matematičeskie nauki/Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki

DOI: 10.26907/2541-7746.2024.3.395-406

Authors: A. O. Lapich, M. Y. Medvedik

Institution: Penza State University

Language: English

Topic: Numerical methods in inverse problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Ministry of Science and Higher Education of the Russian Federation

Award: G6128891788