TY - BOOK AU - Field,Timothy R. TI - Electromagnetic scattering from random media T2 - International series of monographs on physics SN - 9780198570776 AV - QC20.7.S8 F54 2009 U1 - 530.141 22 PY - 2009/// CY - Oxford, New York PB - Oxford University Press KW - Stochastic processes KW - Random fields KW - Mathematical physics KW - Electromagnetic waves KW - Scattering N1 - engineering bookfair2015; Includes bibliographical references (p. 174-180) and index; 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 N2 - 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 UR - http://repository.fue.edu.eg/xmlui/handle/123456789/2872 ER -