Mathematical and Computational Methods in Photonics and Phononics (Mathematical Surveys and Monographs) - Hardcover

Habib Ammari (author), Brian Fitzpatrick (author), Hyeonbae Kang (author), Matias Ruiz (author) & Sanghyeon Yu (author)

Hardcover

ISBN 10: 1470448009 ISBN 13: 9781470448004

Publisher: American Mathematical Society, 2018

Synopsis

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.

About this title

About the Author

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.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2018
• Language: English
• ISBN 10: 1470448009
• ISBN 13: 9781470448004
• Binding: Hardcover
• Number of pages: 500