Spectral Theory of Localized Resonances and Applications

Youjun Deng, Hongyu Liu (Autoren)

Buch | Softcover

362 Seiten

2025
Springer Verlag, Singapore
9789819962464 (ISBN)

Titel nicht im Sortiment

Artikel merken

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.

Deng Youjun, Professor at School of Mathematics and Statistics, Central South University. He was an postdoctoral researcher at Inha University and Ecole Normale Supérieure, respectively. His main research fields are applied mathematics and computational mathematics, including inverse problems in mathematical physics, wave imaging and invisibility, partial differential equations, mathematical theory in metamaterials, integral operator spectrum theory and numerical calculation. Hongyu Liu, Professor of Mathematics at City University of Hong Kong. He held faculty positions at Hong Kong Baptist University, University of North Carolina at Charlotte (USA), University of Reading (UK) and University of Washington at Seattle (USA) before taking up the current position. His research focuses on the analysis, computations and applications of inverse problems, wave imaging, partial differential equations, mathematical materials science, scattering theory and spectral theory, as well as bionic learning and artificial intelligence.

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.

Erscheint lt. Verlag	23.3.2025
Zusatzinfo	47 Illustrations, color; 2 Illustrations, black and white
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Optik
Schlagworte	asymptotic expansion • Drude model • elastic problems • Helmholtz equations • Imaging • Layer Potentials • localized surface plasmon/polariton • Maxwell Equations • Nanoparticle • nanorod • polarization tensor • Spectral Geometry • surface localization • transmission eigenfunctions • wave concentration
ISBN-13	9789819962464 / 9789819962464
Zustand	Neuware