Angular Spectrum Representation of Scattered Electromagnetic Fields PDF Download
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Author: Ari T. Friberg
Publisher:
ISBN:
Category :
Languages : en
Pages : 9
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Book Description
Angular spectrum representation is derived for the electromagnetic field scattered from any linear, time-independent medium. In particular, the medium may be homogeneous or inhomogeneous, isotropic or anisotropic, spatially nondispersive or spatially dispersive, and it may be dielectric, magnetic, or magnetoelectric. The spectral amplitudes of the plane-wave modes of the scattered field are found to depend in a relatively simple manner on the induced polarization and on the induced magnetization. In the special case when the first Born approximation applies, the results take a particurly simple form and may be used to determine the scattered electromagnetic field vectors at any distance from the scatterer.
Author: Ari T. Friberg
Publisher:
ISBN:
Category :
Languages : en
Pages : 9
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Book Description
Angular spectrum representation is derived for the electromagnetic field scattered from any linear, time-independent medium. In particular, the medium may be homogeneous or inhomogeneous, isotropic or anisotropic, spatially nondispersive or spatially dispersive, and it may be dielectric, magnetic, or magnetoelectric. The spectral amplitudes of the plane-wave modes of the scattered field are found to depend in a relatively simple manner on the induced polarization and on the induced magnetization. In the special case when the first Born approximation applies, the results take a particurly simple form and may be used to determine the scattered electromagnetic field vectors at any distance from the scatterer.
Author: P. C. Clemmow
Publisher:
ISBN:
Category : Electromagnetic fields
Languages : en
Pages : 208
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Book Description
Author: Manuel Nieto Vesperinas
Publisher: World Scientific Publishing Company
ISBN: 9813106522
Category : Science
Languages : en
Pages : 455
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Book Description
This book presents a comprehensive tutorial on propagation, diffraction and scattering problems from the basic principles of physical optics. Beginning with the fundamental differential and integral equations for wavefields, the text presents an exhaustive discussion on the extinction theorem as a non-local boundary condition; this has been extensively employed for the rigorous solution of scattering and diffraction problems.There is also an in-depth presentation of the topic of scattering from rough surfaces, in particular the phenomenon of enhanced backscattering, as well as a detailed development of the angular spectrum representation of fields leading to questions on non-diffraction beams. Of key interest in near field optical microscopy and nanooptics, the S-matrix theory based on the angular spectrum for propagating components and the recently discovered properties of the S-matrix for evanescent components of wavefields are considered. In addition, the book deals with the healing effect of phase conjugation on waves, and focuses on some applications concerning the relationship with time reversal.Readers will also find discussions on image recovery from partial information data (phase problems and super-resolution problems), as well as a chapter on the fundamentals of near field optical microscopy techniques, including the hot topic of propagation in negative index media.
Author: P. C. Clemmow
Publisher: Elsevier
ISBN: 1483149544
Category : Science
Languages : en
Pages : 194
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Book Description
The Plane Wave Spectrum Representation of Electromagnetic Fields presents the theory of the electromagnetic field with emphasis to the plane wave. This book explains how fundamental electromagnetic fields can be represented by the superstition of plane waves traveling in different directions. Organized into two parts encompassing eight chapters, this book starts with an overview of the methods whereby plane wave spectrum representation can be used in attacking different characteristic problems belonging to the theories of radiation, diffraction, and propagation. This book then discusses the concept of relative simplicity of plane wave solutions of Maxwell's equations whereby their use enables some of the significant elementary physical and engineering characteristics of the electromagnetic field to be clarified. Other chapters consider the concept of an infinitely thin screen that is absolutely absorbing. The final chapter deals with the complicated problems that occur when anisotropic media are involved. Mathematicians and physicists will find this book useful.
Author: Zhisong Tong
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
This dissertation encompasses several studies relating to the theory of weak potential scattering of scalar and electromagnetic random, wide-sense statistically stationary fields from various types of deterministic or random linear media. The proposed theory is largely based on the first Born approximation for potential scattering and on the angular spectrum representation of fields. The main focus of the scalar counterpart of the theory is made on calculation of the second-order statistics of scattered light fields in cases when the scattering medium consists of several types of discrete particles with deterministic or random potentials. It is shown that the knowledge of the correlation properties for the particles of the same and different types, described with the newly introduced pair-scattering matrix, is crucial for determining the spectral and coherence states of the scattered radiation. The approach based on the pair-scattering matrix is then used for solving an inverse problem of determining the location of an "alien" particle within the scattering collection of "normal" particles, from several measurements of the spectral density of scattered light. Weak scalar scattering of light from a particulate medium in the presence of optical turbulence existing between the scattering centers is then approached using the combination of the Born's theory for treating the light interaction with discrete particles and the Rytov's theory for light propagation in extended turbulent medium. It is demonstrated how the statistics of scattered radiation depend on scattering potentials of particles and the power spectra of the refractive index fluctuations of turbulence. This theory is of utmost importance for applications involving atmospheric and oceanic light transmission. The second part of the dissertation includes the theoretical procedure developed for predicting the second-order statistics of the electromagnetic random fields, such as polarization and linear momentum, scattered from static media. The spatial distribution of these properties of scattered fields is shown to be substantially dependent on the correlation and polarization properties of incident fields and on the statistics of the refractive index distribution within the scatterers. Further, an example is considered which illustrates the usefulness of the electromagnetic scattering theory of random fields in the case when the scattering medium is a thin bio-tissue layer with the prescribed power spectrum of the refractive index fluctuations. The polarization state of the scattered light is shown to be influenced by correlation and polarization states of the illumination as well as by the particle size distribution of the tissue slice.
Author: Michael A Fiddy
Publisher: CRC Press
ISBN: 146656959X
Category : Science
Languages : en
Pages : 242
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Book Description
Obtain the Best Estimate of a Strongly Scattering Object from Limited Scattered Field DataIntroduction to Imaging from Scattered Fields presents an overview of the challenging problem of determining information about an object from measurements of the field scattered from that object. It covers widely used approaches to recover information about th
Author: Motoichi Ohtsu
Publisher: Springer Science & Business Media
ISBN: 3540232362
Category : Science
Languages : en
Pages : 220
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Book Description
Focuses on fundamental aspects of nano-electro-optics. Starting with fiber probes and related devices for generating and detecting the optical near-field with high efficiency and resolution, the next chapter addresses the modulation of an electron beam by optical near-fields. Further topics include: fluorescence spectroscopy, in which sample molecules are excited by the evanescent surface plasmon field close to metallic surfaces; spatially resolved near-field photoluminescence spectroscopy of semiconductor quantum dots, which will become an essential issue in future electro-optical devices and systems; and, finally, the quantum theory of the optical near-field. This latter theory accounts for all the essential features of the interaction between optical near-fields and nanomaterials, atoms and molecules.
Author: Xudong Chen
Publisher: John Wiley & Sons
ISBN: 1119311985
Category : Science
Languages : en
Pages : 325
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Book Description
A comprehensive and updated overview of the theory, algorithms and applications of for electromagnetic inverse scattering problems Offers the recent and most important advances in inverse scattering grounded in fundamental theory, algorithms and practical engineering applications Covers the latest, most relevant inverse scattering techniques like signal subspace methods, time reversal, linear sampling, qualitative methods, compressive sensing, and noniterative methods Emphasizes theory, mathematical derivation and physical insights of various inverse scattering problems Written by a leading expert in the field
Author: M. Nieto-Vesperinas
Publisher: Wiley-Interscience
ISBN:
Category : Science
Languages : en
Pages : 424
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Book Description
Beginning with the basic principles, this book presents a tutorial and comprehensive treatment of the modern concepts of physical optics in connection with diffraction and scattering problems. Both graduate students and research scientists will benefit from this unified selection of up-to-date topics, so far only available in course notes and research papers.
Author: Max Born
Publisher: CUP Archive
ISBN: 9780521784498
Category : Science
Languages : en
Pages : 996
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Book Description
Principles of Optics is one of the classic science books of the twentieth century, and probably the most influential book in optics published in the past 40 years. The new edition is the first ever thoroughly revised and expanded edition of this standard text. Among the new material, much of which is not available in any other optics text, is a section on the CAT scan (computerized axial tomography), which has revolutionized medical diagnostics. The book also includes a new chapter on scattering from inhomogeneous media which provides a comprehensive treatment of the theory of scattering of scalar as well as of electromagnetic waves, including the Born series and the Rytov series. The chapter also presents an account of the principles of diffraction tomography - a refinement of the CAT scan - to which Emil Wolf, one of the authors, has made a basic contribution by formulating in 1969 what is generally regarded to be the basic theorem in this field. The chapter also includes an account of scattering from periodic potentials and its connection to the classic subject of determining the structure of crystals from X-ray diffraction experiments, including accounts of von Laue equations, Bragg's law, the Ewald sphere of reflection and the Ewald limiting sphere, both generalized to continuous media. These topics, although originally introduced in connection with the theory of X-ray diffraction by crystals, have since become of considerable relevance to optics, for example in connection with deep holograms. Other new topics covered in this new edition include interference with broad-band light, which introduces the reader to an important phenomenon discovered relatively recently by Emil Wolf, namely the generation of shifts of spectral lines and other modifications of spectra of radiated fields due to the state of coherence of a source. There is also a section on the so-called Rayleigh-Sommerfield diffraction theory which, in recent times, has been finding increasing popularity among optical scientists. There are also several new appendices, including one on energy conservation in scalar wavefields, which is seldom discussed in books on optics. The new edition of this standard reference will continue to be invaluable to advanced undergraduates, graduate students and researchers working in most areas of optics.
