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Spectral theory of localized resonances and applications

Record Type:	Electronic resources : Monograph/item
Title/Author:	Spectral theory of localized resonances and applicationsby Youjun Deng, Hongyu Liu.
Author:	Deng, Youjun.
other author:	Liu, Hongyu.
Published:	Singapore :Springer Nature Singapore :2024.
Description:	ix, 362 p. :ill. (chiefly col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Spectral theory (Mathematics)
Online resource:	https://doi.org/10.1007/978-981-99-6244-0
ISBN:	9789819962440$q(electronic bk.)

Spectral theory of localized resonances and applications
Deng, Youjun.

Spectral theory of localized resonances and applications[electronic resource] /by Youjun Deng, Hongyu Liu. - Singapore :Springer Nature Singapore :2024. - ix, 362 p. :ill. (chiefly col.), digital ;24 cm.

Introduction and preliminaries -- Mathematical theory of plasmon/polariton resonances in quasi-static regime -- Anomalous localized resonances and its cloaking effect -- Localized resonances for anisotropic geometry -- Localized resonances beyond the quasi-static approximation -- Interior transmission resonances.

This book is devoted to the spectral theory of localized resonances including surface plasmon/polariton resonances, atypical resonances, anomalous localized resonances and interior transmission resonances. Those resonance phenomena arise in different physical contexts, but share similar features. They form the fundamental basis for many cutting-edge technologies and applications including invisibility cloaking and super-resolution imaging. The book presents a systematic and comprehensive treatment on these resonance phenomena and the associated applications in a unified manner from a mathematical and spectral perspective, covering acoustic, electromagnetic and elastic wave scattering. The book can serve as a handy reference book for researchers in this field and it can also serve as a textbook or an inspiring source for postgraduate students who are interested in entering this field.

ISBN: 9789819962440$q(electronic bk.)

Standard No.: 10.1007/978-981-99-6244-0doiSubjects--Topical Terms:

182365
Spectral theory (Mathematics)

LC Class. No.: QC20.7.S64

Dewey Class. No.: 515.7222

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505 0 $a Introduction and preliminaries -- Mathematical theory of plasmon/polariton resonances in quasi-static regime -- Anomalous localized resonances and its cloaking effect -- Localized resonances for anisotropic geometry -- Localized resonances beyond the quasi-static approximation -- Interior transmission resonances.
520 $a This book is devoted to the spectral theory of localized resonances including surface plasmon/polariton resonances, atypical resonances, anomalous localized resonances and interior transmission resonances. Those resonance phenomena arise in different physical contexts, but share similar features. They form the fundamental basis for many cutting-edge technologies and applications including invisibility cloaking and super-resolution imaging. The book presents a systematic and comprehensive treatment on these resonance phenomena and the associated applications in a unified manner from a mathematical and spectral perspective, covering acoustic, electromagnetic and elastic wave scattering. The book can serve as a handy reference book for researchers in this field and it can also serve as a textbook or an inspiring source for postgraduate students who are interested in entering this field.
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