Spectral Theory of Localized Resonances and Applications
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Beschreibung
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.
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.
Treats several frontier topics in a unified manner from a mathematical and spectral perspective Offers in-depth analysis of distinct spectral phenomena and their connections to cutting-edge applications Includes the state-of-the-art developments and offers a handy reference for researchers in the field
Autor*in
Youjun Deng
Themen in »Spectral Theory of Localized Resonances and Applications«
Maxwell equations Helmholtz equations Elastic problems localized surface plasmon/polariton nanoparticle nanorod polarization tensor asymptotic expansion Drude model imaging transmission eigenfunctions spectral geometry surface localization wave concentration layer potentials