Waves in Focal Regions : Propagation, Diffraction and Focusing of Light, Sound and Water Waves book cover
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Waves in Focal Regions
Propagation, Diffraction and Focusing of Light, Sound and Water Waves




ISBN 9780852744680
Published January 1, 1986 by CRC Press
618 Pages

 
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Book Description

Using numerous mathematical and numerical techniques of diffraction theory, Waves in Focal Regions: Propagation, Diffraction and Focusing of Light, Sound and Water Waves provides a full and richly illustrated description of waves in focal regions. Unlike most books, the author treats electromagnetic, acoustic, and water waves in one comprehensive volume.

After an introductory section, the book describes approximate diffraction theories and efficient numerical methods to study the focusing of various kinds of waves. It then covers the physical interpretation of the theories, their accuracy, and the computational savings obtained, emphasizing uniform asymptotic results that remain valid in the vicinity of shadow boundaries and caustics. The next part deals with the focusing of scalar waves, including thorough theoretical analyses and detailed contour maps of diffraction patterns in focal regions for a variety of different system parameters, such as f-number, Frensel number, aperture shape, amplitude distribution, and wavefront aberration. The author proceeds to explore the diffraction and focusing of electromagnetic waves. First solutions are derived for fields radiated by sources, reflected and refracted at plane interfaces, or diffracted by apertures in plane screens, and then these solutions are applied to study the focusing in homogeneous media and through a plane dielectric interface. In both cases, the author includes many computed results of the electromagnetic field distribution near focus. Presenting both theoretical and experimental results, the following part examines the focusing of sound and water waves by means of zone-plate lenses. The book concludes with a detailed study of the diffraction and focusing of water waves and a comparison of the results of both linear and nonlinear theories with those of experiments.

Table of Contents

INTRODUCTION TO IMAGE FORMATION AND FOCUSING
Brief history
Applications
Combined method of ray tracing and diffraction

DIFFRACTION OF SCALAR WAVES
Diffraction of three-dimensional waves
Diffraction of two-dimensional waves
Ray connection of Huygens principle
Numerical methods for evaluating diffraction integrals

ASYMPTOTIC THEORIES OF DIFFRACTION
Method of stationary phase for single integrals
Method of stationary phase for double integrals
Asymptotic theory of diffraction for two-dimensional waves
Asymptotic theory of diffraction for three-dimensional waves

FOCUSING OF SCALAR WAVES
Three-dimensional waves
Two-dimensional waves
Computation of focused fields

DIFFRACTION AND FOCUSING OF ELECTROMAGNETIC WAVES
Diffraction theory
Focusing problems

ZONE-PLATE LENSES OF SOUND
Zone-plate lenses for sound waves in water
Zone-plate lens for focusing of ocean swells

FOCUSING OF WATER WAVES
Linear waves
Nonlinear waves

REFERENCES
INDEX

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