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Series : International Series of Monographs on Physics

Electromagnetic Scattering from Random Media

Electromagnetic Scattering from Random Media
Author
Field, Timothy R. 
Publisher
Oxford University Press 
Publication Date
Feb, 2009 
ISBN
0198570775 or 9780198570776
HARDCOVER 
184 Pages
出版済み 3-5週間でお届けいたします。
The delivery time takes 3 to 5 weeks

¥ 12,481 (tax included)

Description

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.

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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