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Journal article
A new type of CGO solutions and its applications in corner scattering
Inverse problems, v 38(3), p34001
01 Mar 2022
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Abstract
We consider corner scattering for the operator del . gamma(x) del + k (2) rho(x) in R-2, with gamma a positive definite symmetric matrix and rho a positive scalar function. A corner is referred to one that is on the boundary of the (compact) support of gamma(x) - I or rho(x) - 1, where I stands for the identity matrix. We assume that gamma is a scalar function in a small neighborhood of the corner. We show that any admissible incident field will be scattered by such corners, which are allowed to be concave. Moreover, we provide a brief discussion on the existence of non-scattering waves when gamma - I has a jump across the corner. In order to prove the results, we construct a new type of complex geometric optics solutions.
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Details
- Title
- A new type of CGO solutions and its applications in corner scattering
- Creators
- Jingni Xiao - Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA
- Publication Details
- Inverse problems, v 38(3), p34001
- Publisher
- IOP Publishing Ltd
- Number of pages
- 23
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000746154600001
- Scopus ID
- 2-s2.0-85124136858
- Other Identifier
- 991021878015004721
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Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Mathematics, Applied
- Physics, Mathematical