
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.
This book investigates the dynamical theory of electromagnetic scattering from random media by applying stochastic differential equations to characterize the time evolution of scattered fields. Timothy R. Field, an expert in the field, constructs a framework that prioritizes the statistical nature of instantaneous fluctuations over traditional ensemble averages. By integrating methodologies from mathematical finance, the author provides a rigorous approach to interpreting radar and laser scattering data involving non-Gaussian noise processes.
What You Will Find
Scope Limits
Experts recognize this work as a specialized resource for researchers dealing with complex signal processing and statistical optics. Readers frequently note the high level of mathematical density required to engage with the author's application of stochastic processes to physical scattering problems.
Page Count:
192
Publication Date:
2008-01-01
Publisher:
OUP Oxford
ISBN-10:
0191547174
ISBN-13:
9780191547171
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