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Electromagnetic Scattering from Random Media

Timothy R. Field

Price: £55.00 (hardback)
ISBN-13: 978-0-19-857077-6
Estimated publication date: December 2008
192 pages, 31 figs., 234x156 mm
Series: International Series of Monographs on Physics number 144
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Reviews

'Timely and significant, well pitched, and with adequate introductory and tutorial material to give less specialist readers the necessary background and motivation.' - John McWhirter, Cardiff University

Description

Unique development in the field.
Self contained, suitable for mathematicians, physicists and engineers.
No similar texts available.
Strong relevance to engineering, applied physics, mathematical finance communities and defence.
Addresses important physics problems unsolved for two decades.

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.

Readership: Postgraduate students and practitioners in the areas of applied electromagnetics, detection theory, scattering theory and statistics. It is aimed at mathematicians, physicists and engineers.

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

Authors, editors, and contributors

Timothy R. Field, McMaster University , Canada

Links to web resources and related information

More in the same subject area:
Physics
Mathematics
Electricity, magnetism & electromagnetism
Probability & statistics
Applied optics
Astrophysics
Theoretical & mathematical astronomy
Engineering: general
Finance

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