Electromagnetic Scattering from Random Media

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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 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

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Harvard Library

Princeton University Library

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 in electromagnetic 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; APPENDICES; 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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Electromagnetic Scattering from Random Media（International Series of Monographs on Physics） 任意介质电磁波散射 物理学史

Electromagnetic Scattering from Random Media（International Series of Monographs on Physics）

任意介质电磁波散射
物理学史