Electromagnetic Scattering from Random Media

Hardcover | December 18, 2008

byTimothy R. Field

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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 dataanalysis.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.

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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 dataanalysis.The physical models contain all correlat...

Timothy Field studied undergraduate mathematics at King's College, Cambridge University, and went on to receive a doctorate in mathematics from New College and the Mathematical Institute, Oxford University in 1997, where he studied mathematical physics under Sir Roger Penrose. He formerly held a UK government sponsored research fello...

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Format:HardcoverDimensions:208 pages, 9.21 × 6.14 × 0.98 inPublished:December 18, 2008Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198570775

ISBN - 13:9780198570776

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Table of Contents

PART I: STOCHASTIC CALCULUS1. The Wiener process2. Introduction to stochastic differential equations3. The stochastic differential4. The stochastic integralPART II: SCATTERING DYNAMICS5. Diffusion models in electromagnetic scattering6. Rayleigh scattering7. Population models8. Scattering generating K-distributed noise9. Models of weak scattering10. Scattering from general populationsPART III: SIMULATION AND EXPERIMENT11. Discrete-time simulation12. Experimental tests13. Observability of the scattering cross-sectionAPPENDICESA. Filtrations and conditional probabilityB. Girsanov's theoremC. Ito's formulaD. Summary of K-scatteringE. List of open problemsF. Suggested further reading