Ammari and colleagues offer a self-contained synthesis of recent mathematical and computational developments in photonics--concerned with light--and phononics--concerned with sound. They cover mathematical and computational tools, differential gratings and band-gap materials, sub-wavelength resonant structures and super-resolution, metamaterials, and sub-wavelength phononics. Among their topics are the generalized argument principle and Rouch�'s theorem, perturbations of cavities and resonators, photonic and phononic band gaps, plasmonic resonances for nanoparticles, near-cloaking, and Helmholtz resonators, and Minnaert resonances for bubbles. Annotation �2018 Ringgold, Inc., Portland, OR (protoview.com)

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