Description

Book Synopsis
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 mathematical tools, computational approaches, and inversion and optimal design methods to address challenging problems in photonics and phononics.

Table of Contents
  • Introduction
  • Part 1. Mathematical and computation tools: Generalized argument principle and Rouche'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
  • Bibliography
  • Index.

    Mathematical and Computational Methods in

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      £109.80

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      RRP £122.00 – you save £12.20 (10%)

      Order before 4pm tomorrow for delivery by Wed 24 Jun 2026.

      A Hardback by Habib Ammari, Brian Fitzpatrick, Hyeonbae Kang

      1 in stock


        View other formats and editions of Mathematical and Computational Methods in by Habib Ammari

        Publisher: MP-AMM American Mathematical
        Publication Date: 11/30/2018 12:00:00 AM
        ISBN13: 9781470448004, 978-1470448004
        ISBN10: 1470448009

        Description

        Book Synopsis
        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 mathematical tools, computational approaches, and inversion and optimal design methods to address challenging problems in photonics and phononics.

        Table of Contents
        • Introduction
        • Part 1. Mathematical and computation tools: Generalized argument principle and Rouche'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
        • Bibliography
        • Index.

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