Scattering from analytic and piecewise analytic inhomogeneities

Authors

• Narek Hovsepyan, The University of Texas Rio Grande Valley
• Michael S. Vogelius

Document Type

Article

Publication Date

6-19-2026

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.

Comments

This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material.

Recommended Citation

Hovsepyan, Narek, and Michael S. Vogelius. "Scattering from analytic and piecewise analytic inhomogeneities." Archive for Rational Mechanics and Analysis 250, no. 4 (2026): 60. https://doi.org/10.1007/s00205-026-02215-2

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Publication Title

Archive for Rational Mechanics and Analysis

DOI

10.1007/s00205-026-02215-2