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Spectral Theory of Localized Resonances and Applications / by Youjun Deng, Hongyu Liu.
Springer Nature - Springer Mathematics and Statistics eBooks 2024 English International Available online
View online- Format:
- Book
- Author/Creator:
- Deng, Youjun, author.
- Liu, Hongyu, author.
- Language:
- English
- Subjects (All):
- Mathematical analysis.
- Optics.
- Mathematical physics.
- Analysis.
- Optics and Photonics.
- Mathematical Physics.
- Local Subjects:
- Analysis.
- Optics and Photonics.
- Mathematical Physics.
- Physical Description:
- 1 online resource (IX, 362 p. 49 illus., 47 illus. in color.)
- Edition:
- 1st ed. 2024.
- Place of Publication:
- Singapore : Springer Nature Singapore : Imprint: Springer, 2024.
- Summary:
- 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.
- Contents:
- 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.
- Notes:
- Includes bibliographical references.
- ISBN:
- 9789819962440
- 9819962447
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