The method of layer potentials for electromagnetic waves in chiral media

DOI10.1515/form.2001.016zbMath0987.78009OpenAlexW2023008821MaRDI QIDQ2716426

Marius Mitrea

Publication date: 20 May 2001

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/473c7eb97dc7fb3c3a1a5bcfbbf519c957e1ddaf

zbMATH Keywords

electromagnetic wavesintegral equation methodschiral mediumchiral scatterer

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with optics and electromagnetic theory (35Q60) Waves and radiation in optics and electromagnetic theory (78A40) Integral equations with kernels of Cauchy type (45E05)

Related Items (6)

Double-negative electromagnetic metamaterials due to chirality ⋮ A right inverse operator for \(\operatorname{curl}+\lambda \) and applications ⋮ The method of fundamental solutions for electromagnetic scattering by a perfect conductor in chiral environment ⋮ The method of fundamental solutions for scattering of electromagnetic waves by a chiral object ⋮ Transmission problems in contrasting chiral media ⋮ A priori estimates for a singular limit approximation of the constitutive laws for chiral media in the time domain

Cites Work

• Propagation along the direction of inhomogeneity in an inhomogeneous chiral medium
• Finite energy solutions of Maxwell's equations and constructive Hodge decompositions on nonsmooth Riemannian manifolds
• Uniqueness for inverse conductivity and transmission problems in the class of lipschitz domains
• The two-dimensional electromagnetic inverse scattering problem for chiral media
• Inverse acoustic and electromagnetic scattering theory
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