Spectral Theory of Localized Resonances and Applications
Published on 23. March 2025
Book
Paperback/Softback
IX, 362 pages
978-981-99-6246-4 (ISBN)
Description
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.
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.
More details
Language
English
Place of publication
Singapore
Singapore
Target group
Professional and scholarly
Illustrations
47 farbige Abbildungen, 2 s/w Abbildungen
IX, 362 p. 49 illus., 47 illus. in color.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 21 mm
Weight
563 gr
ISBN-13
978-981-99-6246-4 (9789819962464)
DOI
10.1007/978-981-99-6244-0
Schweitzer Classification
Other editions
Additional editions
Youjun Deng | Hongyu Liu
Spectral Theory of Localized Resonances and Applications
Book
03/2024
Springer
€139.09
Shipment within 3-4 weeks
Persons
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.
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.
Content
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.