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**Mathematical Computational Methods in Photonics and Phonoics**

Habib Ammari, Brian Fitzpatrick, Hyeonbae Kang, Matias Ruiz, Sanghyeon Yu, and Hai Zhang

Publication Year: 2018

ISBN-10: 1-4704-4800-9

ISBN-13: 978-1-4704-4800-4

This page is maintained by the authors.

*Contact information*:

Habib Ammari

ETH Zurich

Department of Mathematics

Ramistrasse 101

CH-8092 Zurich, Switzerland

Email: Habib Ammari

http://www.sam.math.ethz.ch/~hammari/

Brian Fitzpatrick

ESAT - STADIUS

Stadius Centre for Dynamical Systems, Signal Processing and Data Analytics

Kasteelpark Arenberg 10 - box 2446

3001 Leuven, Belgium

Email: Brian Fitzpatrick

http://homes.esat.kuleuven.be/~sistawww/it/stadius_redesign/person.php?id=2257

Hyeonbae Kang

Inha University

Department of Mathematics

Incheon 22212, South Korea

Email: Hyeonbae Kang

Matias Ruiz

Imperial College

Department of Mathematics

180 Queen's Gate

London SW7 2AZ, United Kingdom

Email: Matias Ruiz

Sanghyeon Yu

HG J 48

ETH Zurich

Ramistrasse 101

CH-8092 Zurich, Switzerland

Email: Sanghyeon Yu

Hai Zhang

HKUST

Department of Mathematics

Clear Water Bay, Kowloon

Hong Kong SAR, China

Email: haizhang@ust.hk

http://www.math.ust.hk/~haizhang/

Algorithm demonstrations using MatLab

Chapter 1, Section 6 - Muller's method: Muller's method

Chapter 2, Section 2.4.5 - spectrum np operator: Spectrum of the Neumann-Poincar\'e operator

Chapter 2, Section 2.5.7 - conductivity problem: Conductivity problem

Chapter 2, Section 2.5.7 - equivalent ellipse: Equivalent ellipse

Chapter 2, Section 2.5.7 - polarization tensor: Polarization tensor

Chapter 2, Section 2.6.4 - periodic g s k laplace: Periodic Green's function for the Laplacian

Chapter 2, Section 2.9.7 - char disk: Eigenvalues calculations

Chapter 2, Section 2.9.7 - shape perturbation: Shape perturbations

Chapter 2, Section 13.4 - q periodic s k Helmholtz: Ewald's method for layer potentials

Chapter 2, Section 14.6 - scat coeffs maxwell: Scattering coefficients for the Maxwell equations

Chapter 4, Section 6 - 1d diff grating: One-dimensional dielectric gratings

Chapter 5, Section 4.2 - photonic crystal bands: Photonic bandgap calculations

Chapter 7, Section 4.1 - plasmonic res shift: Shift of the plasmonic resonances

Chapter 8, Section 5 - direct imaging music: MUSIC imaging functional

Chapter 9, Section 2.7 - super res: Super-resolution in high contrast media

Chapter 10, Section 4.4 - near cloaking: Near-cloaking

Chapter 11, Section 4.4 - anomalous res: Anomalous resonances

Chapter 12, Section 4 - plasmonic metasurfaces: Plasmonic metasurfaces

Chapter 14, Section 6-1 - bubble res: Minnaert bubble resonances