This book provides an up-to-date review of the theories that have been developed for the study of acoustic, elastic and electromagnetic wave scattering from randomly rough surfaces. Theory of Wave Scattering from Random Rough Surfaces is the first comprehensive summary, in one volume, of all the intensive studies thta have been undertaken over the last few decades. Emphasis is placed on those theories which lead to soluble equations and which are of practical interest. Experimental data are used to illustrate the usefulness of the different theories, and areas where future progress might be possible are also outlined. After covering some of the problems associated with random rough surfaces the author describes the well-known perturbation and Kirchhoff approaches, showing their regimes of validity. Methods for multiple scattering are then considered, emphasising those techniques which are likely to lead to solutions for problems of practical interest. Further considerations include multiple scales of roughness, surface self-shadowing and field statistics. Numerical simulation techniques are also discussed, showing the power of this approach for solving otherwise intractable problems. These techniques have only recently been developed and have not previously been discussed in book form. Theory of Wave Scattering from Random Rough Surfaces will be invaluable to graduate scientists and engineers working on wave scattering from rough surfaces, whether this be for radar, sonar, ultrasonic or optical applications.
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Researchers in applied mathematics, physics, non-destructive testing, optics and radar.
ISBN-13
978-0-7503-0063-6 (9780750300636)
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Schweitzer Klassifikation
Introduction: Earlier review literature. The Rayleigh criterion. Surface roughness as a non-intrinsic property. Phase considerations. Outline of book . The nature of random rough surfaces: Statistical descriptions. Alternative descriptive methods. Surface measurement. Slightly rough surfaces: 'Perturbation' theories: Perturbation theory. Rayleigh theory. Extinction theorem. Comparison with experiment. Kirchhoff theory: Formulation of scalar Kirchhoff theory. Accuracy of Kirchhoff theory. Comparison with experiment. Comparison of Kirchoff theory with perturbation theory. Vector wave scattering and depolarisation: Electromagnetic wave scattering. Elastic wave scattering. Multiple scattering and depolarisation of electromagnetic waves. Multiple scattering: Boss models. Variational methods. Integral equation techniques. Other approaches. Further considerations: Multiple scales of roughness. Surface self-shadowing. Statistics of the scattered field. Numerical simulation techniques: Methods of random variate generation. Applications to scattering from random rough surfaces. Discussion. Summary. References. Index.