AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution

Mathematical and Computational Methods in Photonics and Phononics

About this Title

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 and Hai Zhang, HKUST, Clear Water Bay, Hong Kong

Publication: Mathematical Surveys and Monographs
Publication Year: 2018; Volume 235
ISBNs: 978-1-4704-4800-4 (print); 978-1-4704-4909-4 (online)
DOI: https://doi.org/10.1090/surv/235
MathSciNet review: MR3837172
MSC: Primary 78-01; Secondary 31A10, 35Q60, 74J20, 78A25, 78A45, 78A60

View full volume as PDF

Read more about this volume

Table of Contents

Download chapters as PDF

Front/Back Matter

• View this volume's front and back matter

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