Beltrami Fields In Chiral Media
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| Author | : Akhlesh Lakhtakia |
| Publisher | : World Scientific |
| Total Pages | : 570 |
| Release | : 1994 |
| Genre | : Science |
| ISBN | : 9789810214036 |
Beltrami fields exist commonly in all areas of wave theory. In particular, Beltrami fields are necessary to analyze electromagnetic wave propagation in isotropic chiral materials, numerous examples of which are found in organic chemistry. Artificial chiral composites are evaluated for electromagnetic engineering purposes as well. In this book a comprehensive analysis of electromagnetic fields in chiral materials has been made.
| Author | : G. F. Roach |
| Publisher | : Princeton University Press |
| Total Pages | : 400 |
| Release | : 2012-03-04 |
| Genre | : Mathematics |
| ISBN | : 1400842654 |
Electromagnetic complex media are artificial materials that affect the propagation of electromagnetic waves in surprising ways not usually seen in nature. Because of their wide range of important applications, these materials have been intensely studied over the past twenty-five years, mainly from the perspectives of physics and engineering. But a body of rigorous mathematical theory has also gradually developed, and this is the first book to present that theory. Designed for researchers and advanced graduate students in applied mathematics, electrical engineering, and physics, this book introduces the electromagnetics of complex media through a systematic, state-of-the-art account of their mathematical theory. The book combines the study of well posedness, homogenization, and controllability of Maxwell equations complemented with constitutive relations describing complex media. The book treats deterministic and stochastic problems both in the frequency and time domains. It also covers computational aspects and scattering problems, among other important topics. Detailed appendices make the book self-contained in terms of mathematical prerequisites, and accessible to engineers and physicists as well as mathematicians.
| Author | : Nicholas J. Daras |
| Publisher | : Springer |
| Total Pages | : 424 |
| Release | : 2017-03-14 |
| Genre | : Mathematics |
| ISBN | : 3319515004 |
Mathematical methods and theories with interdisciplinary applications are presented in this book. The eighteen contributions presented in this Work have been written by eminent scientists; a few papers are based on talks which took place at the International Conference at the Hellenic Artillery School in May 2015. Each paper evaluates possible solutions to long-standing problems such as the solvability of the direct electromagnetic scattering problem, geometric approaches to cyber security, ellipsoid targeting with overlap, non-equilibrium solutions of dynamic networks, measuring ballistic dispersion, elliptic regularity theory for the numerical solution of variational problems, approximation theory for polynomials on the real line and the unit circle, complementarity and variational inequalities in electronics, new two-slope parameterized achievement scalarizing functions for nonlinear multiobjective optimization, and strong and weak convexity of closed sets in a Hilbert space. /divGraduate students, scientists, engineers and researchers in pure and applied mathematical sciences, operations research, engineering, and cyber security will find the interdisciplinary scientific perspectives useful to their overall understanding and further research.
| Author | : John Lekner |
| Publisher | : Springer |
| Total Pages | : 539 |
| Release | : 2016-01-13 |
| Genre | : Science |
| ISBN | : 331923627X |
This book deals with the reflection of electromagnetic and particle waves by interfaces. The interfaces can be sharp or diffuse. The topics of the book contain absorption, inverse problems, anisotropy, pulses and finite beams, rough surfaces, matrix methods, numerical methods, reflection of particle waves and neutron reflection. Exact general results are presented, followed by long wave reflection, variational theory, reflection amplitude equations of the Riccati type, and reflection of short waves. The Second Edition of the Theory of Reflection is an updated and much enlarged revision of the 1987 monograph. There are new chapters on periodically stratified media, ellipsometry, chiral media, neutron reflection and reflection of acoustic waves. The chapter on anisotropy is much extended, with a complete treatment of the reflection and transmission properties of arbitrarily oriented uniaxial crystals. The book gives a systematic and unified treatment reflection and transmission of electromagnetic and particle waves at interfaces. It is intended for physicists, chemists, applied mathematicians and engineers, and is written in a simple direct style, with all necessary mathematics explained in the text.
| Author | : A. Priou |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 397 |
| Release | : 2012-12-06 |
| Genre | : Technology & Engineering |
| ISBN | : 9401157340 |
Recent advances in our understanding of complex composite media, especially chiral media for microwave applications, suggest the feasibility of creating novel materials with unusual properties and the possibility of constructing new microwave devices using such materials. The emphasis of the book is on bi-anisotropic materials, whose most interesting feature is the magnetoelectric interaction of the fields. The materials are expected to supply useful applications in radar technology, aerospace, microwave engineering, manufacturing technology, etc., such as absorbers for low-reflectivity shields, reciprocal phase shifters, polarization transformers. The first experiments with artificial bi-anisotropic media have been successfully carried out.
| Author | : Gang Bao |
| Publisher | : SIAM |
| Total Pages | : 349 |
| Release | : 2001-01-01 |
| Genre | : Science |
| ISBN | : 9780898717594 |
This volume addresses recent developments in mathematical modeling in three areas of optical science: diffractive optics, photonic band gap structures, and waveguides. Particular emphasis is on the formulation of mathematical models and the design and analysis of new computational approaches. The book contains cutting-edge discourses on emerging technology in optics that provides significant challenges and opportunities for applied mathematicians, researchers, and engineers.
| Author | : Muhammad Faryad |
| Publisher | : Morgan & Claypool Publishers |
| Total Pages | : 165 |
| Release | : 2018-08-13 |
| Genre | : Science |
| ISBN | : 1681745577 |
In any linear system, the input and the output are connected by means of a linear operator. When the input can be notionally represented by a function that is null valued everywhere except at a specific location in spacetime, the corresponding output is called the Green function in field theories. Dyadic Green functions are commonplace in electromagnetics, because both the input and the output are vector functions of space and time. This book provides a survey of the state-of-the-art knowledge of infinite space dyadic Green functions.
| Author | : Dimitrios Ioannou Fotiadis |
| Publisher | : World Scientific |
| Total Pages | : 454 |
| Release | : 2006 |
| Genre | : Science |
| ISBN | : 9812773193 |
This volume comprises the papers presented at the Seventh International Workshop on Scattering Theory and Biomedical Engineering, focusing on the hottest topics in scattering theory and biomedical technology. All the contributions are state-of-the-art and have been fully reviewed. The authors are recognized as being eminent both in their field and in the science community. Sample Chapter(s). Chapter 1: A Method to Solve Inverse Scattering Problems for Electromagetic Fields in Chiral Media (891 KB). Contents: A Method to Solve Inverse Scattering Problems for Electromagnetic Fields in Chiral Media (C Athanasiadis & E Kardasi); Nonlinear Integral Equations in Inverse Obstacle Scattering (O Ivanyshyn & R Kres); Homogenization in Chiral Elasticity (G Barbatis & I G Stratis); Shape Control and Damage Identification of Piezoelectric Smart Beams Using Finite Element Modelling and Genetic Optimization (E P Hadjigeorgiou et al.); A Fast Numerical Method for a Simplified Phase Field Model (C A Sfyrakis & V A Dougalis); On the Hidden Electromagnetic Activity of the Brain (G Dassios); A Decision Tree Based Approach for the Identification of Ischaemic Beats in ECG Recordings (T P Exarchos et al.); An Automatic Microcalcification Detection System Utilizing Mammorgraphic Enhancement Techniques (A N Papadopoulos & D I Fotiadis); Multidimensional Cardiac Models (D G Tsalikakis et al.); Mobile and Electronic Medical Support and Education for Dyslexic Students (M Virvou & E Alepis); and other papers. Readership: Graduate students, academics and researchers in industry working in biomedical engineering, computational biology, mathematical biology and mathematical physics.
| Author | : Christos V Massalas |
| Publisher | : World Scientific |
| Total Pages | : 454 |
| Release | : 2006-08-01 |
| Genre | : Science |
| ISBN | : 9814477591 |
This volume comprises the papers presented at the Seventh International Workshop on Scattering Theory and Biomedical Engineering, focusing on the hottest topics in scattering theory and biomedical technology.All the contributions are state-of-the-art and have been fully reviewed. The authors are recognized as being eminent both in their field and in the science community.
| Author | : Ali Akdagli |
| Publisher | : BoD – Books on Demand |
| Total Pages | : 458 |
| Release | : 2011-07-05 |
| Genre | : Science |
| ISBN | : 9533073020 |
This comprehensive volume thoroughly covers wave propagation behaviors and computational techniques for electromagnetic waves in different complex media. The chapter authors describe powerful and sophisticated analytic and numerical methods to solve their specific electromagnetic problems for complex media and geometries as well. This book will be of interest to electromagnetics and microwave engineers, physicists and scientists.
