Spectral Geometry and Inverse Scattering Theory
Inverse scattering problems are a vital subject for both theoretical and experimental studies and remain an active field of research in applied mathematics. This book provides a detailed presentation of typical setup of inverse scattering problems for time-harmonic acoustic, electromagnetic and elas...
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| 主要な著者: | , |
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| フォーマット: | 電子媒体 eBook |
| 言語: | 英語 |
| 出版事項: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2023.
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| 版: | 1st ed. 2023. |
| 主題: | |
| オンライン･アクセス: | https://doi.org/10.1007/978-3-031-34615-6 |
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目次:
- Introduction. -Geometric structures of Laplacian eiegenfunctions
- Geometric structures of Maxwellian eigenfunctions
- Inverse obstacle and diffraction grating scattering problems
- Path argument for inverse acoustic and electromagnetic obstacle scattering problems
- Stability for inverse acoustic obstacle scattering problems. - Stability for inverse electromagnetic obstacle scattering problems
- Geometric structures of Helmholtz’s transmission eigenfunctions with general transmission conditions and applications
- Geometric structures of Maxwell’s transmission eigenfunctions and applications
- Geometric structures of Lame’s transmission eigenfunctions with general ´ transmission conditions and applications
- Geometric properties of Helmholtz’s transmission eigenfunctions induced by curvatures and applications. - Stable determination of an acoustic medium scatterer by a single far-field pattern
- Stable determination of an elastic medium scatterer by a single far-field measurement and beyond.