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 481505) and index 

Part 1. Mathematical and computational tools  Part 2. Diffraction gratings and bandgap materials  Part 3. Subwavelength resonant structures and superresolution  Part 4. Metamaterials  Part 5. Subwavelength 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 subwavelength resonators, superfocusing and superresolution 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  Twodimensional 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

