An asymptotic formula for perturbations in an electromagnetic eigenvalue problem due to the presence of small deformable dielectric inclusion
Abstract We consider a homogeneous electromagnetic material enclosing a bounded ‐domain with a small dielectric inclusion. We derive a rigorous asymptotic expansion of the eigenvalues of the Maxwell operator as the diameter of the inclusion goes to zero.
Authors
- Abdessatar Khelifi (ORCID: https://orcid.org/0000-0002-2797-1646)
- Siwar Saidani (ORCID: https://orcid.org/0009-0005-3557-4199)
Institutions
- University of Carthage (TN)
Publication Details
- Journal
- ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
- Published
- 2024-11-03
- DOI
- https://doi.org/10.1002/zamm.202400128
- Primary Topic
- Advanced Mathematical Modeling in Engineering
- Type
- article
- Field-Weighted Citation Impact
- 0.00