Waves in Focal Regions: Propagation, Diffraction and Focusing of Light, Sound and Water Waves, 1st Edition (Hardback) book cover

Waves in Focal Regions

Propagation, Diffraction and Focusing of Light, Sound and Water Waves, 1st Edition

By J.J Stamnes

CRC Press

618 pages

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pub: 1986-01-01
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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

About the Series

Series in Optics and Optoelectronics

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Subject Categories

BISAC Subject Codes/Headings:
SCI053000
SCIENCE / Optics
SCI055000
SCIENCE / Physics
TEC019000
TECHNOLOGY & ENGINEERING / Lasers & Photonics