Electromagnetic Scattering from Random Media

Electromagnetic Scattering from Random Media

by Timothy R. Field
     
 

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

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Overview

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 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.

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Product Details

ISBN-13:
9780198570776
Publisher:
Oxford University Press
Publication date:
02/28/2009
Series:
International Series of Monographs on Physics Series, #144
Pages:
192
Product dimensions:
6.10(w) x 9.30(h) x 0.60(d)
Age Range:
3 Months

Table of Contents

PART I: STOCHASTIC CALCULUS
1. Heat equation and Brownian motion
2. Ito calculus
3. Stochastic differential geometry
4. Examples of stochastic differential equations
PART II: SCATTERING DYNAMICS
5. Diffusion models of scattering
6. Rayleigh scattering
7. Population dynamics
8. Dynamics of K-scattering
9. Models of weak scattering
10. Scattering from general populations
PART III: SIMULATION AND EXPERIMENT
11. Simulation of K-scattering
12. Experimental tests
13. Non-linear dynamics of sea clutter
14. Observability of scattering cross-section A. Stability and infinite divisibility B. Ito versus Stratonovich stochastic integrals C. Filtrations, conditional probability and Markov property D. Girsanov's theorem E. Partition function solution to BDI model F. Summary of K-scattering G. Iterative solution for vector processes H. Open problems I. Suggested further reading References Index

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