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作者 Ammari, Habib, author
書名 Mathematical and computational methods in photonics and phononics / Habib Ammari, Brian Fitzpatrick, Hyeonbae Kang, Matias Ruiz, Sanghyeon Yu, Hai Zhang
出版項 Providence, Rhode Island : American Mathematical Society, [2018]
國際標準書號 9781470448004
book jacket
館藏地 索書號 處理狀態 OPAC 訊息 條碼
 數學所圖書室  TA1520 A46 2018    在架上    30340200561201
說明 viii, 509 pages : illustrations ; 27 cm
text txt rdacontent
unmediated n rdamedia
volume nc rdacarrier
系列 Mathematical surveys and monographs ; volume 235
Mathematical surveys and monographs ; no. 235
附註 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
主題 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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