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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: 20XX
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


Brian Fitzpatrick
Stadius Centre for Dynamical Systems, Signal Processing and Data Analytics
Kasteelpark Arenberg 10 - box 2446
3001 Leuven, Belgium
Email: Brian Fitzpatrick


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
Department of Mathematics
Clear Water Bay, Kowloon
Hong Kong SAR, China



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 13.3 - q periodic g helmholts: Quasi-periodic Green's function for the Helmholtz equation

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

Chapter 2, Section 13.5 - q biperiodic g helmhlotz:  Quasi-biperiodic Green's function for the Helmholtz equation

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




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