1.

Record Nr.

UNINA9910736986503321

Autore

Li Jingzhi

Titolo

Numerical Methods for Inverse Scattering Problems / / by Jingzhi Li, Hongyu Liu

Pubbl/distr/stampa

Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2023

ISBN

981-9937-72-8

Edizione

[1st ed. 2023.]

Descrizione fisica

1 online resource (373 pages)

Altri autori (Persone)

LiuHongyu

Disciplina

515.357

Soggetti

Mathematical physics

Acoustics

Electrodynamics

Continuum mechanics

Crystallography

Mathematical Methods in Physics

Mathematical Physics

Classical Electrodynamics

Continuum Mechanics

Crystallography and Scattering Methods

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Introduction -- Direct Acoustic Scattering Problems -- Numerical Inverse Acoustic Scattering Problems -- Direct Electromagnetic Scattering Problems -- Numerical Inverse Electromagnetic Scattering Problems -- Direct Elastic Scattering Problems -- Numerical Inverse Elastic Scattering Problems -- Miscellaneous topics -- Others.

Sommario/riassunto

This book highlights the latest developments on the numerical methods for inverse scattering problems associated with acoustic, electromagnetic, and elastic waves. Inverse scattering problems are concerned with identifying unknown or inaccessible objects by wave probing data, which makes possible many industrial and engineering applications including radar and sonar, medical imaging, nondestructive testing, remote sensing, and geophysical exploration. The mathematical study of inverse scattering problems is an active field



of research. This book presents a comprehensive and unified mathematical treatment of various inverse scattering problems mainly from a numerical reconstruction perspective. It highlights the collaborative research outputs by the two groups of the authors yet surveys and reviews many existing results by global researchers in the literature. The book consists of three parts respectively corresponding to the studies on acoustic, electromagnetic, and elastic scatteringproblems. In each part, the authors start with in-depth theoretical and computational treatments of the forward scattering problems and then discuss various numerical reconstruction schemes for the associated inverse scattering problems in different scenarios of practical interest. In addition, the authors provide an overview of the existing results in the literature by other researchers. This book can serve as a handy reference for researchers or practitioners who are working on or implementing inverse scattering methods. It can also serve as a graduate textbook for research students who are interested in working on numerical algorithms for inverse scattering problems.