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Author Ammari, Habib, author
Title Mathematical and computational methods in photonics and phononics / Habib Ammari, Brian Fitzpatrick, Hyeonbae Kang, Matias Ruiz, Sanghyeon Yu, Hai Zhang
Imprint Providence, Rhode Island : American Mathematical Society, [2018]
2018
book jacket
LOCATION CALL # STATUS OPACMSG BARCODE
 Mathematics Library  TA1520 A46 2018    AVAILABLE    30340200561201
Descript viii, 509 pages : illustrations ; 27 cm
text txt rdacontent
unmediated n rdamedia
volume nc rdacarrier
Series Mathematical surveys and monographs ; volume 235
Mathematical surveys and monographs ; no. 235
Note Includes bibliographical references (pages 481-505) and index
Part 1. Mathematical and computational tools -- Part 2. Diffraction gratings and band-gap materials -- Part 3. Subwavelength resonant structures and super-resolution -- Part 4. Metamaterials -- Part 5. Sub-wavelength phononics
The fields of 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 and fundamental mathematical tools, computational approaches, and inversion and optimal design methods to address challenging problems in photonics and phononics. An emphasis is placed on analyzing sub-wavelength resonators, super-focusing and super-resolution of electromagnetic and acoustic waves, photonic and phononic crystals, electromagnetic cloaking, and electromagnetic and elastic metamaterials and metasurfaces. Throughout this book, the authors demonstrate the power of layer potential techniques for solving challenging problems in photonics and phononics when they are combined with asymptotic analysis. This book might be of interest to researchers and graduate students working in the fields of applied and computational mathematics, partial differential equations, electromagnetic theory, elasticity, integral equations, and inverse and optimal design problems in photonics and phononics
Subject Photonics -- Mathematics
Sound -- Mathematics
Operator theory -- General theory of linear operators -- Eigenvalue problems
Potential theory -- Two-dimensional theory -- Integral representations, integral operators, integral equations methods
Ordinary differential equations -- General theory -- Inverse problems
Partial differential equations -- Miscellaneous topics -- Inverse problems
Partial differential equations -- Qualitative properties of solutions -- Resonances
Integral equations -- Inverse problems -- Inverse problems
Functions of a complex variable -- Miscellaneous topics of analysis in the complex domain -- Boundary value problems
Alt Author Fitzpatrick, Brian (Mathematician), author
Kang, Hyeonbae, author
Ruiz, Matias (Mathematician), author
Yu, Sanghyeon (Mathematician), author
Zhang, Hai, 1984- author
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