Author: Tom G Mackay
Publisher: World Scientific
ISBN: 9811203156
Category : Science
Languages : en
Pages : 289
Book Description
The aim of this book is to extend and update the standard treatments of crystal optics found in classical textbooks. It provides a broad overview of electromagnetic anisotropy, bianisotropy, and chirality. The topics covered are constitutive relations (Chapter 1); examples of anisotropy, bianisotropy, and chirality (Chapter 2); spacetime symmetries (Chapter 3); planewave propagation (Chapter 4); dyadic Green functions including depolarization dyadics (Chapter 5); homogenization formalisms (Chapter 6); nonlinear aspects (Chapter 7); surface waves (Chapter 8) and topological insulators (Chapter 9). New additions in this second edition are: Chapters 8 and 9, expanded treatments of active mediums in Chapter 4, and the Huygens principle and the Ewald-Oseen extinction theorem in Chapter 5. This book is perfect for postbaccalaureate students and researchers seeking an introductory survey of the electromagnetic theory of complex mediums.
Electromagnetic Anisotropy And Bianisotropy: A Field Guide (Second Edition)
Electromagnetic Anisotropy and Bianisotropy
Author: Tom G. Mackay
Publisher: World Scientific
ISBN: 9814289612
Category : Science
Languages : en
Pages : 236
Book Description
The topics of anisotropy and bianisotropy are fundamental to electromagnetics from both theoretical and experimental perspectives. These properties underpin a host of complex and exotic electromagnetic phenomenons in naturally occurring materials and in relativistic scenarios, as well as in artificially produced metamaterials. As a unique guide to this rapidly developing field, the book provides a unified presentation of key classic and recent results on the studies of constitutive relations, spacetime symmetries, planewave propagation, dyadic Green functions, and homogenization of composite materials. This book also offers an up-to-date extension to standard treatments of crystal optics with coverage on both linear and weakly nonlinear regimes.
Publisher: World Scientific
ISBN: 9814289612
Category : Science
Languages : en
Pages : 236
Book Description
The topics of anisotropy and bianisotropy are fundamental to electromagnetics from both theoretical and experimental perspectives. These properties underpin a host of complex and exotic electromagnetic phenomenons in naturally occurring materials and in relativistic scenarios, as well as in artificially produced metamaterials. As a unique guide to this rapidly developing field, the book provides a unified presentation of key classic and recent results on the studies of constitutive relations, spacetime symmetries, planewave propagation, dyadic Green functions, and homogenization of composite materials. This book also offers an up-to-date extension to standard treatments of crystal optics with coverage on both linear and weakly nonlinear regimes.
Electromagnetic Anisotropy and Bianisotropy
Author: Tom G. Mackay
Publisher:
ISBN: 9789811203145
Category : SCIENCE
Languages : en
Pages : 289
Book Description
"The aim of this book is to extend and update the standard treatments of crystal optics found in classical textbooks. It provides a broad overview of electromagnetic anisotropy, bianisotropy, and chirality. The topics covered are constitutive relations (Chapter 1); examples of anisotropy, bianisotropy, and chirality (Chapter 2); spacetime symmetries (Chapter 3); planewave propagation (Chapter 4); dyadic Green functions including depolarization dyadics (Chapter 5); homogenization formalisms (Chapter 6); nonlinear aspects (Chapter 7); surface waves (Chapter 8) and topological insulators (Chapter 9). New additions in this second edition are: Chapters 8 and 9, expanded treatments of active mediums in Chapter 4, and the Huygens principle and the Ewald-Oseen extinction theorem in Chapter 5. This book is perfect for postbaccalaureate students and researchers seeking an introductory survey of the electromagnetic theory of complex mediums."--
Publisher:
ISBN: 9789811203145
Category : SCIENCE
Languages : en
Pages : 289
Book Description
"The aim of this book is to extend and update the standard treatments of crystal optics found in classical textbooks. It provides a broad overview of electromagnetic anisotropy, bianisotropy, and chirality. The topics covered are constitutive relations (Chapter 1); examples of anisotropy, bianisotropy, and chirality (Chapter 2); spacetime symmetries (Chapter 3); planewave propagation (Chapter 4); dyadic Green functions including depolarization dyadics (Chapter 5); homogenization formalisms (Chapter 6); nonlinear aspects (Chapter 7); surface waves (Chapter 8) and topological insulators (Chapter 9). New additions in this second edition are: Chapters 8 and 9, expanded treatments of active mediums in Chapter 4, and the Huygens principle and the Ewald-Oseen extinction theorem in Chapter 5. This book is perfect for postbaccalaureate students and researchers seeking an introductory survey of the electromagnetic theory of complex mediums."--
Modern Analytical Electromagnetic Homogenization
Author: Tom G Mackay
Publisher: Morgan & Claypool Publishers
ISBN: 1627057099
Category : Science
Languages : en
Pages : 154
Book Description
Electromagnetic homogenization is the process of estimating the effective electromagnetic properties of composite materials in the long-wavelength regime, wherein the length scales of nonhomogeneities are much smaller than the wavelengths involved. This is a bird’s-eye view of currently available homogenization formalisms for particulate composite materials. It presents analytical methods only, with focus on the general settings of anisotropy and bianisotropy. The authors largely concentrate on ‘effective’ materials as opposed to ‘equivalent’ materials, and emphasize the fundamental (but sometimes overlooked) differences between these two categories of homogenized composite materials. The properties of an ‘effective’ material represents those of its composite material, regardless of the geometry and dimensions of the bulk materials and regardless of the orientations and polarization states of the illuminating electromagnetic fields. In contrast, the properties of ‘equivalent’ materials only represent those of their corresponding composite materials under certain restrictive circumstances.
Publisher: Morgan & Claypool Publishers
ISBN: 1627057099
Category : Science
Languages : en
Pages : 154
Book Description
Electromagnetic homogenization is the process of estimating the effective electromagnetic properties of composite materials in the long-wavelength regime, wherein the length scales of nonhomogeneities are much smaller than the wavelengths involved. This is a bird’s-eye view of currently available homogenization formalisms for particulate composite materials. It presents analytical methods only, with focus on the general settings of anisotropy and bianisotropy. The authors largely concentrate on ‘effective’ materials as opposed to ‘equivalent’ materials, and emphasize the fundamental (but sometimes overlooked) differences between these two categories of homogenized composite materials. The properties of an ‘effective’ material represents those of its composite material, regardless of the geometry and dimensions of the bulk materials and regardless of the orientations and polarization states of the illuminating electromagnetic fields. In contrast, the properties of ‘equivalent’ materials only represent those of their corresponding composite materials under certain restrictive circumstances.
Infinite-Space Dyadic Green Functions in Electromagnetism
Author: Muhammad Faryad
Publisher: Morgan & Claypool Publishers
ISBN: 1681745577
Category : Science
Languages : en
Pages : 165
Book Description
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.
Publisher: Morgan & Claypool Publishers
ISBN: 1681745577
Category : Science
Languages : en
Pages : 165
Book Description
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.
Adventures in Contemporary Electromagnetic Theory
Author: Tom G. Mackay
Publisher: Springer Nature
ISBN: 3031246179
Category : Technology & Engineering
Languages : en
Pages : 548
Book Description
This book describes the most recent advances in electromagnetic theory, motivated and partly informed by developments in engineering science and nanotechnology. The collection of chapters provided in this edited book, authored by leading experts in the field, offers a bird’s eye view of recent progress in electromagnetic theory, spanning a wide range of topics of current interest, ranging from fundamental issues to applications.
Publisher: Springer Nature
ISBN: 3031246179
Category : Technology & Engineering
Languages : en
Pages : 548
Book Description
This book describes the most recent advances in electromagnetic theory, motivated and partly informed by developments in engineering science and nanotechnology. The collection of chapters provided in this edited book, authored by leading experts in the field, offers a bird’s eye view of recent progress in electromagnetic theory, spanning a wide range of topics of current interest, ranging from fundamental issues to applications.
The Transfer-Matrix Method in Electromagnetics and Optics
Author: Tom G. Mackay
Publisher: Morgan & Claypool Publishers
ISBN: 1681737930
Category : Technology & Engineering
Languages : en
Pages : 128
Book Description
The transfer-matrix method (TMM) in electromagnetics and optics is a powerful and convenient mathematical formalism for determining the planewave reflection and transmission characteristics of an infinitely extended slab of a linear material. While the TMM was introduced for a homogeneous uniaxial dielectric-magnetic material in the 1960s, and subsequently extended for multilayered slabs, it has more recently been developed for the most general linear materials, namely bianisotropic materials. By means of the rigorous coupled-wave approach, slabs that are periodically nonhomogeneous in the thickness direction can also be accommodated by the TMM. In this book an overview of the TMM is presented for the most general contexts as well as for some for illustrative simple cases. Key theoretical results are given; for derivations, the reader is referred to the references at the end of each chapter. Albums of numerical results are also provided, and the computer code used to generate these results are provided in an appendix.
Publisher: Morgan & Claypool Publishers
ISBN: 1681737930
Category : Technology & Engineering
Languages : en
Pages : 128
Book Description
The transfer-matrix method (TMM) in electromagnetics and optics is a powerful and convenient mathematical formalism for determining the planewave reflection and transmission characteristics of an infinitely extended slab of a linear material. While the TMM was introduced for a homogeneous uniaxial dielectric-magnetic material in the 1960s, and subsequently extended for multilayered slabs, it has more recently been developed for the most general linear materials, namely bianisotropic materials. By means of the rigorous coupled-wave approach, slabs that are periodically nonhomogeneous in the thickness direction can also be accommodated by the TMM. In this book an overview of the TMM is presented for the most general contexts as well as for some for illustrative simple cases. Key theoretical results are given; for derivations, the reader is referred to the references at the end of each chapter. Albums of numerical results are also provided, and the computer code used to generate these results are provided in an appendix.
Advances in Inverse Problems for Partial Differential Equations
Author: Dinh-Liem Nguyen
Publisher: American Mathematical Society
ISBN: 1470469685
Category : Mathematics
Languages : en
Pages : 218
Book Description
This volume contains the proceedings of two AMS Special Sessions “Recent Developments on Analysis and Computation for Inverse Problems for PDEs,” virtually held on March 13–14, 2021, and “Recent Advances in Inverse Problems for Partial Differential Equations,” virtually held on October 23–24, 2021. The papers in this volume focus on new results on numerical methods for various inverse problems arising in electrical impedance tomography, inverse scattering in radar and optics problems, reconstruction of initial conditions, control of acoustic fields, and stock price forecasting. The authors studied iterative and non-iterative approaches such as optimization-based, globally convergent, sampling, and machine learning-based methods. The volume provides an interesting source on advances in computational inverse problems for partial differential equations.
Publisher: American Mathematical Society
ISBN: 1470469685
Category : Mathematics
Languages : en
Pages : 218
Book Description
This volume contains the proceedings of two AMS Special Sessions “Recent Developments on Analysis and Computation for Inverse Problems for PDEs,” virtually held on March 13–14, 2021, and “Recent Advances in Inverse Problems for Partial Differential Equations,” virtually held on October 23–24, 2021. The papers in this volume focus on new results on numerical methods for various inverse problems arising in electrical impedance tomography, inverse scattering in radar and optics problems, reconstruction of initial conditions, control of acoustic fields, and stock price forecasting. The authors studied iterative and non-iterative approaches such as optimization-based, globally convergent, sampling, and machine learning-based methods. The volume provides an interesting source on advances in computational inverse problems for partial differential equations.
Mathematical Analysis of Deterministic and Stochastic Problems in Complex Media Electromagnetics
Author: G. F. Roach
Publisher: Princeton University Press
ISBN: 1400842654
Category : Mathematics
Languages : en
Pages : 400
Book Description
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.
Publisher: Princeton University Press
ISBN: 1400842654
Category : Mathematics
Languages : en
Pages : 400
Book Description
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.
Photonics, Volume 1
Author: David L. Andrews
Publisher: John Wiley & Sons
ISBN: 1118225538
Category : Technology & Engineering
Languages : en
Pages : 486
Book Description
Covers modern photonics accessibly and discusses the basic physical principles underlying all the applications and technology of photonics. This volume covers the basic physical principles underlying the technology and all applications of photonics from statistical optics to quantum optics. The topics discussed in this volume are: Photons in perspective; Coherence and Statistical Optics; Complex Light and Singular Optics; Electrodynamics of Dielectric Media; Fast and slow Light; Holography; Multiphoton Processes; Optical Angular Momentum; Optical Forces, Trapping and Manipulation; Polarization States; Quantum Electrodynamics; Quantum Information and Computing; Quantum Optics; Resonance Energy Transfer; Surface Optics; Ultrafast Pulse Phenomena. Comprehensive and accessible coverage of the whole of modern photonics Emphasizes processes and applications that specifically exploit photon attributes of light Deals with the rapidly advancing area of modern optics Chapters are written by top scientists in their field Written for the graduate level student in physical sciences; Industrial and academic researchers in photonics, graduate students in the area; College lecturers, educators, policymakers, consultants, Scientific and technical libraries, government laboratories, NIH.
Publisher: John Wiley & Sons
ISBN: 1118225538
Category : Technology & Engineering
Languages : en
Pages : 486
Book Description
Covers modern photonics accessibly and discusses the basic physical principles underlying all the applications and technology of photonics. This volume covers the basic physical principles underlying the technology and all applications of photonics from statistical optics to quantum optics. The topics discussed in this volume are: Photons in perspective; Coherence and Statistical Optics; Complex Light and Singular Optics; Electrodynamics of Dielectric Media; Fast and slow Light; Holography; Multiphoton Processes; Optical Angular Momentum; Optical Forces, Trapping and Manipulation; Polarization States; Quantum Electrodynamics; Quantum Information and Computing; Quantum Optics; Resonance Energy Transfer; Surface Optics; Ultrafast Pulse Phenomena. Comprehensive and accessible coverage of the whole of modern photonics Emphasizes processes and applications that specifically exploit photon attributes of light Deals with the rapidly advancing area of modern optics Chapters are written by top scientists in their field Written for the graduate level student in physical sciences; Industrial and academic researchers in photonics, graduate students in the area; College lecturers, educators, policymakers, consultants, Scientific and technical libraries, government laboratories, NIH.