Mathematical and Computational Methods in Photonics and Phononics

2018-10-15 Mathematics

Author : Habib Ammari
Release : 2018-10-15
Genre : Mathematics
Kind : eBook
Book Rating : 009/5 ( reviews)

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Book Synopsis Mathematical and Computational Methods in Photonics and Phononics by : Habib Ammari

Download or read book Mathematical and Computational Methods in Photonics and Phononics written by Habib Ammari. This book was released on 2018-10-15. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Methods in Liquid Crystal Optics and Lens Design

Author : Eric Stachura
Release :
Genre :
Kind : eBook
Book Rating : 144/5 ( reviews)

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Book Synopsis Mathematical Methods in Liquid Crystal Optics and Lens Design by : Eric Stachura

Download or read book Mathematical Methods in Liquid Crystal Optics and Lens Design written by Eric Stachura. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt:

Applied Mathematical Problems in Geophysics

2022-07-23 Mathematics

Author : Massimo Chiappini
Release : 2022-07-23
Genre : Mathematics
Kind : eBook
Book Rating : 214/5 ( reviews)

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Book Synopsis Applied Mathematical Problems in Geophysics by : Massimo Chiappini

Download or read book Applied Mathematical Problems in Geophysics written by Massimo Chiappini. This book was released on 2022-07-23. Available in PDF, EPUB and Kindle. Book excerpt: This CIME Series book provides mathematical and simulation tools to help resolve environmental hazard and security-related issues. The contributions reflect five major topics identified by the SIES (Strategic Initiatives for the Environment and Security) as having significant societal impact: optimal control in waste management, in particular the degradation of organic waste by an aerobic biomass, by means of a mathematical model; recent developments in the mathematical analysis of subwave resonators; conservation laws in continuum mechanics, including an elaboration on the notion of weak solutions and issues related to entropy criteria; the applications of variational methods to 1-dimensional boundary value problems, in particular to light ray-tracing in ionospheric physics; and the mathematical modelling of potential electromagnetic co-seismic events associated to large earthquakes. This material will provide a sound foundation for those who intend to approach similar problems from a multidisciplinary perspective.

Maxwell’s Equations in Periodic Structures

2021-11-22 Mathematics

Author : Gang Bao
Release : 2021-11-22
Genre : Mathematics
Kind : eBook
Book Rating : 619/5 ( reviews)

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Book Synopsis Maxwell’s Equations in Periodic Structures by : Gang Bao

Download or read book Maxwell’s Equations in Periodic Structures written by Gang Bao. This book was released on 2021-11-22. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses recent developments in mathematical analysis and computational methods for solving direct and inverse problems for Maxwell’s equations in periodic structures. The fundamental importance of the fields is clear, since they are related to technology with significant applications in optics and electromagnetics. The book provides both introductory materials and in-depth discussion to the areas in diffractive optics that offer rich and challenging mathematical problems. It is also intended to convey up-to-date results to students and researchers in applied and computational mathematics, and engineering disciplines as well.

Applied Analysis of Composite Media

2019-11-05 Computers

Author : Piotr Drygas
Release : 2019-11-05
Genre : Computers
Kind : eBook
Book Rating : 706/5 ( reviews)

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Book Synopsis Applied Analysis of Composite Media by : Piotr Drygas

Download or read book Applied Analysis of Composite Media written by Piotr Drygas. This book was released on 2019-11-05. Available in PDF, EPUB and Kindle. Book excerpt: Applied Analysis of Composite Media: Analytical and Computational Approaches presents formulas and techniques that can used to study 2D and 3D problems in composites and random porous media. The main strength of this book is its broad range of applications that illustrate how these techniques can be applied to investigate elasticity, viscous flow and bacterial motion in composite materials. In addition to paying attention to constructive computations, the authors have also included information on codes via a designated webpage. This book will be extremely useful for postgraduate students, academic researchers, mathematicians and industry professionals who are working in structured media. Provides a uniform, computational methodology that can be applied to the main classes of transport and elastic problems by using a combination of exact formulae, advanced simulations and asymptotic methods Includes critical phenomena in transport and elastic problems for composites and porous media Applies computational methodology to biological structures Presents computer protocols/algorithms that can be used for materials design

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Mathematical and Computational Methods in Photonics and Phononics

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