Weak Scattering Of Scalar And Electromagnetic Random Fields
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Author | : Zhisong Tong |
Publisher | : |
Total Pages | : |
Release | : 2013 |
Genre | : |
ISBN | : |
Download Weak Scattering of Scalar and Electromagnetic Random Fields Book in PDF, Epub and Kindle
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 | : Ping Sheng |
Publisher | : World Scientific |
Total Pages | : 649 |
Release | : 1990-04-01 |
Genre | : Science |
ISBN | : 9814507644 |
Download Scattering And Localization Of Classical Waves In Random Media Book in PDF, Epub and Kindle
The past decade has witnessed breakthroughs in the understanding of the wave localization phenomena and its implications for wave multiple scattering in inhomogeneous media. This book brings together review articles written by noted researchers in this field in a tutorial manner so as to give the readers a coherent picture of its status. It would be valuable both as an up-to-date reference for active researchers as well as a readable source for students looking to gain an understanding of the latest results.
Author | : Olga Korotkova |
Publisher | : CRC Press |
Total Pages | : 366 |
Release | : 2017-12-19 |
Genre | : Science |
ISBN | : 1439819513 |
Download Random Light Beams Book in PDF, Epub and Kindle
Random Light Beams: Theory and Applications contemplates the potential in harnessing random light. This book discusses light matter interactions, and concentrates on the various phenomena associated with beam-like fields. It explores natural and man-made light fields and gives an overview of recently introduced families of random light beams. It outlines mathematical tools for analysis, suggests schemes for realization, and discusses possible applications. The book introduces the essential concepts needed for a deeper understanding of the subject, discusses various classes of deterministic paraxial beams and examines random scalar beams. It highlights electromagnetic random beams and matters relating to generation, propagation in free space and various media, and discusses transmission through optical systems. It includes applications that benefit from the use of random beams, as well as the interaction of beams with deterministic optical systems. • Includes detailed mathematical description of different model sources and beams • Explores a wide range of man-made and natural media for beam interaction • Contains more than 100 illustrations on beam behavior • Offers information that is based on the scientific results of the last several years • Points to general methods for dealing with random beams, on the basis of which the readers can do independent research It gives examples of light propagation through the human eye, laser resonators, and negative phase materials. It discusses in detail propagation of random beams in random media, the scattering of random beams from collections of scatterers and thin random layers as well as the possible uses for these beams in imaging, tomography, and smart illumination.
Author | : Timothy R. Field |
Publisher | : International Monographs on Ph |
Total Pages | : 199 |
Release | : 2009 |
Genre | : Business & Economics |
ISBN | : 0198570775 |
Download Electromagnetic Scattering from Random Media Book in PDF, Epub and Kindle
The book develops the dynamical theory of scattering from random media from first principles. Its key findings are to characterize the time evolution of the scattered field in terms of stochastic differential equations, and to illustrate this framework in simulation and experimental data analysis. The physical models contain all correlation information and higher order statistics, which enables radar and laser scattering experiments to be interpreted. An emphasis is placed on the statistical character of the instantaneous fluctuations, as opposed to ensemble average properties. This leads to various means for detection, which have important consequences in radar signal processing and statistical optics. The book is also significant also because it illustrates how ideas in mathematical finance can be applied to physics problems in which non-Gaussian noise processes play an essential role. This pioneering book represents a significant advance in this field, and should prove valuable to leading edge researchers and practitioners at the postgraduate level and above.
Author | : Ray F Streater |
Publisher | : World Scientific |
Total Pages | : 102 |
Release | : 2014-07-31 |
Genre | : Science |
ISBN | : 981461209X |
Download A Theory Of Scattering For Quasifree Particles Book in PDF, Epub and Kindle
In this book, the author presents the theory of quasifree quantum fields and argues that they could provide non-zero scattering for some particles. The free-field representation of the quantised transverse electromagnetic field is not closed in the weak*-topology. Its closure contains soliton-anti-soliton pairs as limits of two-photon states as time goes to infinity, and the overlap probability can be computed using Uhlmann's prescription. There are no free parameters: the probability is determined with no requirement to specify any coupling constant. All cases of the Shale transforms of the free field ϕ of the form ϕ→ϕ+φ, where φ is not in the one-particle space, are treated in the book. There remain the cases of the Shale transforms of the form ϕ → Tϕ, where T is a symplectic map on the one-particle space, not near the identity.
Author | : George Dassios |
Publisher | : Oxford University Press |
Total Pages | : 322 |
Release | : 2000 |
Genre | : Language Arts & Disciplines |
ISBN | : 9780198536789 |
Download Low Frequency Scattering Book in PDF, Epub and Kindle
Scattering theory deals with the interactions of waves with obstacles in their path, and low frequency scattering occurs when the obstacles involved are very small. This book gives an overview of the subject for graduates and researchers, for the first time unifying the theories covering acoustic, electromagnetic and elastic waves.
Author | : Claude Bourrely |
Publisher | : World Scientific |
Total Pages | : 374 |
Release | : 1989-03-01 |
Genre | : |
ISBN | : 981461887X |
Download Electromagnetic And Acoustic Scattering: Detection And Inverse Problems - Proceedings Of The Conference Book in PDF, Epub and Kindle
Contents:Light Scattering Problems in Astrophysics (J M Perrin)Surface Integral Operators and their Use in Acoustics and Electromagnetics (A Berthon)Acoustic Diffraction by Slender Bodies of Arbitrary Shape (M Tran-Van-Nhieu)High and Low Energy Approximations for the Electromagnetic Scattering by Irregular Objects (B Torresani)Electromagnetic Scattering and Mutual Interactions Between Closely Spaced Spheroids (J Dalmas & R Deleuil)Acoustical Imaging of 2D Fluid Targets Buried in a Half Space: A Diffraction Tomography Approach Using Line-Sources Insonification (B Duchene et al)Contribution of Radar Polarimetry in Radar Target Discrimination. The “Poincaré Planisphere”: a New Representation Method (E Pottier)Electromagnetic and Acoustic Waves in Random Media: from Propagation to Anderson Localization (B Souillard)Weak Disorder: Homogeneisation Method and Propagation (C Bardos)Coherent Propagation of Surface Acoustic Waves in Quasi-Periodic and Random Arrays of Grooves (D Sornette et al)On Asymptotic Behaviour of Waves States in Random Media (F Bentosela & R Rodriguez)A Study of Acoustic Transmission of Transient Signal in a Inhomogeneous Medium with the Help of a Wavelet Transform. Application to an Air-Water Plane Interface (G Saracco & Ph Tchamitchian)Three-Dimensional Impedance Scattering Theory (P Sabatier)Survey of Optimization Algorithms Applied to Inverse Problems (A Roger)A Linearized Inverse Problem: Acoustic Impedance Tomography of Biological Media (J P Lefebvre)and others Readership: Electrical engineers and mathematicians.
Author | : Emil Wolf |
Publisher | : Elsevier |
Total Pages | : 378 |
Release | : 2012-09-05 |
Genre | : Science |
ISBN | : 0444594221 |
Download Progress in Optics Book in PDF, Epub and Kindle
In the 50 years since the first volume of Progress in Optics was published, optics has become one of the most dynamic fields of science. The volumes in this series that have appeared up to now contain more than 300 review articles by distinguished research workers, which have become permanent records for many important developments, helping optical scientists and optical engineers stay abreast of their fields. Comprehensive, in-depth reviews Edited by the leading authority in the field
Author | : S.S. Vinogradov |
Publisher | : CRC Press |
Total Pages | : 516 |
Release | : 2002-04-29 |
Genre | : Mathematics |
ISBN | : 084938706X |
Download Canonical Problems in Scattering and Potential Theory Part II Book in PDF, Epub and Kindle
Although the analysis of scattering for closed bodies of simple geometric shape is well developed, structures with edges, cavities, or inclusions have seemed, until now, intractable to analytical methods. This two-volume set describes a breakthrough in analytical techniques for accurately determining diffraction from classes of canonical scatterers
Author | : Soon K. Cho |
Publisher | : Springer Science & Business Media |
Total Pages | : 405 |
Release | : 2012-12-06 |
Genre | : Technology & Engineering |
ISBN | : 1461390648 |
Download Electromagnetic Scattering Book in PDF, Epub and Kindle
0.1 Introduction The present volume is about the physics of electromagnetic scattering, not mathematics, and is intended as a reference book for engineering and physics students as well as researchers in electromagnetic scattering. Although the subject is on electromagnetic scattering, acoustic or scalar scattering will be discussed occasionally when it is deemed helpful and advantageous. In the current decade we are witnessing an emergence of inverse scattering theory. Before we embark on this exciting journey, perhaps this is an appropriate time to summarize and assess in one volume some of the important re sults of electromagnetic scattering which have been found in recent decades. Since the end of WW II two significant physical phenomena in electromag netic scattering, optimal polarization and exterior resonant frequencies, have been discovered and a powerful mathematical technique, called the integral equation method, has been incorporated. These physical quantities, which characterize the scattered field for a given scatterer, are not directly observ able but can only be extracted by mathematical means from the measured scattering data. They are given special attention.