Work

Scattering from analytic and piecewise analytic inhomogeneities

Year: 2026

Type: article

Abstract: We study scattering for the linear Helmholtz operator in two dimensions and develop a technique which can be used to ascertain scattering of a given incident wave from very regular inhomogeneities. This technique is then applied to a number of interesting examples.

Source: Archive for Rational Mechanics and Analysis

DOI: 10.1007/s00205-026-02215-2

Authors: Narek Hovsepyan, Michael S. Vogelius

Institutions: The University of Texas Rio Grande Valley, Rutgers, The State University of New Jersey

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: National Science Foundation