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- Title
Uniqueness Results for Some Inverse Electromagnetic Scattering Problems with Phaseless Far-Field Data.
- Authors
Zhu, Xianghe; Guo, Jun; Wang, Haibing
- Abstract
Consider three electromagnetic scattering models, namely, electromagnetic scattering by an elastic body, by a chiral medium, and by a cylinder at oblique incidence. We are concerned with the corresponding inverse problems of determining the locations and shapes of the scatterers from phaseless far-field patterns. There are certain essential differences from the usual inverse electromagnetic scattering problems, and some fundamental conclusions need to be proved. First, we show that the phaseless far-field data are invariant under the translation of the scatterers and prove the reciprocity relations of the scattering data. Then, we justify the unique determination of the scatterers by utilizing the reference ball approach and the superpositions of a fixed point source and plane waves as the incident fields. The proofs are based on the reciprocity relations, Green's formulas, and the analyses of the wave fields in the reference ball.
- Subjects
ELASTIC scattering; ELECTROMAGNETIC wave scattering; PLANE wavefronts; COMPUTATIONAL electromagnetics; WAVE analysis; INVERSE problems; DEDEKIND sums
- Publication
Axioms (2075-1680), 2023, Vol 12, Issue 12, p1069
- ISSN
2075-1680
- Publication type
Article
- DOI
10.3390/axioms12121069