An error was encountered while trying to add the item to the cart. Please try again.
Copy To Clipboard
Successfully Copied!
Mathematical and Computational Methods in Photonics and Phononics

Habib Ammari ETH, Zürich, Switzerland
Brian Fitzpatrick ETH, Zürich, Switzerland
Hyeonbae Kang Inha University, Incheon, Korea
Matias Ruiz École Normale Supérieure, Paris, France
Sanghyeon Yu ETH, Zürich, Switzerland
Hai Zhang HKUST, Clear Water Bay, Hong Kong
Available Formats:
Hardcover ISBN: 978-1-4704-4800-4
Product Code: SURV/235
List Price: $135.00 MAA Member Price:$121.50
AMS Member Price: $108.00 Electronic ISBN: 978-1-4704-4909-4 Product Code: SURV/235.E List Price:$135.00
MAA Member Price: $121.50 AMS Member Price:$108.00
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $202.50 MAA Member Price:$182.25
AMS Member Price: $162.00 Click above image for expanded view Mathematical and Computational Methods in Photonics and Phononics Habib Ammari ETH, Zürich, Switzerland Brian Fitzpatrick ETH, Zürich, Switzerland Hyeonbae Kang Inha University, Incheon, Korea Matias Ruiz École Normale Supérieure, Paris, France Sanghyeon Yu ETH, Zürich, Switzerland Hai Zhang HKUST, Clear Water Bay, Hong Kong Available Formats:  Hardcover ISBN: 978-1-4704-4800-4 Product Code: SURV/235  List Price:$135.00 MAA Member Price: $121.50 AMS Member Price:$108.00
 Electronic ISBN: 978-1-4704-4909-4 Product Code: SURV/235.E
 List Price: $135.00 MAA Member Price:$121.50 AMS Member Price: $108.00 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$202.50 MAA Member Price: $182.25 AMS Member Price:$162.00
• Book Details

Mathematical Surveys and Monographs
Volume: 2352018; 509 pp
MSC: Primary 47; 31; 34; 35; 45; 30;

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.

Graduate students and researchers interested in recent development in mathematical and computational advances in photonics and phononics (light and sound propagation on complex structures).

• Chapters
• Introduction
• Part 1. Mathematical and computation tools
• Generalized argument principle and Rouché’s theorem
• Layer potentials
• Perturbations of cavities and resonators
• Part 2. Diffraction gratings and band-gap materials
• Diffraction gratings
• Photonic band gaps
• Phononic band gaps
• Part 3. Sub-wavelength resonant structures and super-resolution
• Plasmonic resonances for nanoparticles
• Imaging of small particles
• Super-resolution imaging
• Part 4. Metamaterials
• Near-cloaking
• Anomalous resonance cloaking and shielding
• Plasmonic metasurfaces
• Part 5. Sub-wavelength phonics
• Helmholtz resonator
• Minnaert resonances for bubbles
• Appendix A. Spectrum of self-adjoint operators
• Appendix B. Optimal control and level set representation

• Requests

Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Volume: 2352018; 509 pp
MSC: Primary 47; 31; 34; 35; 45; 30;

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.

Graduate students and researchers interested in recent development in mathematical and computational advances in photonics and phononics (light and sound propagation on complex structures).

• Chapters
• Introduction
• Part 1. Mathematical and computation tools
• Generalized argument principle and Rouché’s theorem
• Layer potentials
• Perturbations of cavities and resonators
• Part 2. Diffraction gratings and band-gap materials
• Diffraction gratings
• Photonic band gaps
• Phononic band gaps
• Part 3. Sub-wavelength resonant structures and super-resolution
• Plasmonic resonances for nanoparticles
• Imaging of small particles
• Super-resolution imaging
• Part 4. Metamaterials
• Near-cloaking
• Anomalous resonance cloaking and shielding
• Plasmonic metasurfaces
• Part 5. Sub-wavelength phonics
• Helmholtz resonator
• Minnaert resonances for bubbles
• Appendix A. Spectrum of self-adjoint operators
• Appendix B. Optimal control and level set representation
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
You may be interested in...
Please select which format for which you are requesting permissions.