Mathematical and Computational Methods in Photonics and Phononics

Habib Ammari, Sanghyeon Yu, Matias Ruiz, Brian Fitzpatrick, Hyeonbae Kang

ISBN 10: 1470448009 / ISBN 13: 9781470448004

Verlag: American Mathematical Society, US, 2018

Beschreibung

The fields of photonics and phononics encompass the fundamental science of light and sound propagation and interactions in complex structures, as well as its technological applications. This book reviews new and fundamental mathematical tools, computational approaches, and inversion and optimal design methods to address challenging problems in photonics and phononics.An emphasis is placed on analyzing sub-wavelength resonators, super-focusing and super-resolution of electromagnetic and acoustic waves, photonic and phononic crystals, electromagnetic cloaking, and electromagnetic and elastic metamaterials and metasurfaces. Throughout this book, the authors demonstrate the power of layer potential techniques for solving challenging problems in photonics and phononics when they are combined with asymptotic analysis. This book might be of interest to researchers and graduate students working in the fields of applied and computational mathematics, partial differential equations, electromagnetic theory, elasticity, integral equations, and inverse and optimal design problems in photonics and phononics.

Bestandsnummer des Verkäufers LU-9781470448004

Bibliografische Details

• Titel: Mathematical and Computational Methods in Photonics and Phononics
• Verlag: American Mathematical Society, US
• Erscheinungsjahr: 2018
• Sprache: Englisch
• ISBN-10: 1470448009
• ISBN-13: 9781470448004
• Einband: Hardback
• Zustand: New
• Gewicht: 1040 Gramm

Über diesen Titel

Inhaltsangabe

The fields of photonics and phononics encompass the fundamental science of light and sound propagation and interactions in complex structures, as well as its technological applications. This book reviews new and fundamental mathematical tools, computational approaches, and inversion and optimal design methods to address challenging problems in photonics and phononics.

An emphasis is placed on analyzing sub-wavelength resonators, super-focusing and super-resolution of electromagnetic and acoustic waves, photonic and phononic crystals, electromagnetic cloaking, and electromagnetic and elastic metamaterials and metasurfaces. Throughout this book, the authors demonstrate the power of layer potential techniques for solving challenging problems in photonics and phononics when they are combined with asymptotic analysis. This book might be of interest to researchers and graduate students working in the fields of applied and computational mathematics, partial differential equations, electromagnetic theory, elasticity, integral equations, and inverse and optimal design problems in photonics and phononics.

Über die Autorin bzw. den Autor

Habib Ammari, ETH, Zurich, Switzerland.

Brian Fitzpatrick, ETH, Zurich, Switzerland.

Hyeonbae Kang, Inha University, Incheon, Korea.

Matias Ruiz, Ecole Normale Superieure, Paris, France.

Sanghyeon Yu, ETH, Zurich, Switzerland.

Hai Zhang, HKUST, Kowloon, Hong Kong.