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

, by Stamnes; J.J

$Waves in Focal Regions: Propagation, Diffraction and Focusing of Light, Sound and Water Waves by Stamnes; J.J, 9780852744680$

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ISBN: 9780852744680 | 0852744684
Cover: Hardcover
Copyright: 1/1/1986

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A comprehensive treatment of electromagnetic, acoustic & water waves in a single volume. Mathematical & numerical techniques of diffraction theory are used to give a full & richly illustrated description of waves in focal regions for researchers, practitioners & graduate students in the fields of wave propagation, diffraction, asymptotics, image formation & focusing.

Series Editors' Preface

Preface

xiii

Acknowledgments

xvii

PART I INTRODUCTION TO IMAGE FORMATION AND FOCUSING

Brief History

(7)

Rectilinear propagation of light

(1)

Camera obscura

(1)

Optical instruments

(1)

Diffraction

(1)

Diffraction theory of imaging

(4)

Applications

(2)

Imaging

(1)

Energy concentration

(1)

Focusing techniques

(1)

Combined Method of Ray Tracing and Diffraction

(5)

PART II DIFFRACTION OF SCALAR WAVES

Diffraction of Three-dimensional Waves

(24)

Angular-spectrum representations

(3)

Rayleigh-Sommerfeld and Kirchhoff diffraction integrals

(2)

Formulation of diffraction problems

(2)

Comparison of Rayleigh-Sommerfeld and Kirchhoff theories of diffraction by apertures in plane screens

(17)

Diffraction of Two-dimensional Waves

(5)

Angular-spectrum representation

(1)

Impulse-response integral

(2)

Parabolic approximation

(2)

Ray Connection of Huygens' Principle

(14)

Geometrical rays and edge diffraction

(1)

Diffracted rays

(2)

Ray formulations of diffraction problems

(11)

Numerical Methods for Evaluating Diffraction Integrals

(31)

Linear approximations to phase and amplitude

(3)

Parabolic approximations to phase and amplitude

(18)

Fast Fourier transform techniques

(10)

PART III ASYMPTOTIC THEORIES OF DIFFRACTION

Method of Stationary Phase for Single Integrals

(45)

Non-uniform asymptotic approximations

(6)

Transitional and uniform asymptotic approximations

(39)

Method of Stationary Phase for Double Integrals

136

(27)

Non-uniform asymptotic approximations

137

(16)

Uniform asymptotic approximations

153

(10)

Asymptotic Theory of Diffraction for Two-dimensional Waves

163

(38)

Diffraction of a diverging cylindrical wave

164

(8)

Diffraction of a converging cylindrical wave

172

(12)

Focusing with first-order cylindrical aberration

184

(17)

Asymptotic Theory of Diffraction for Three-dimensional Waves

201

(42)

Diffraction of a diverging spherical wave by a circular aperture

202

(22)

Diffraction of a converging spherical wave by a circular aperture

224

(19)

PART IV FOCUSING OF SCALAR WAVES

Three-dimensional Waves

243

(134)

Approximate theories

243

(38)

Focusing at low Fresnel numbers

281

(33)

Perfect incident wave

314

(9)

Rectangular and elliptical apertures

323

(8)

Gaussian beams

331

(19)

Results of classical theory

350

(27)

Two-dimensional Waves

377

(21)

Approximate theories

377

(12)

Focusing of perfect and non-perfect waves

389

(9)

Computation of Focused Fields

398

(21)

Transition from ray tracing to diffraction theory

398

(5)

Merit and applicability of various computational methods

403

(6)

Other methods

409

(10)

PART V DIFFRACTION AND FOCUSING OF ELECTROMAGNETIC WAVES

Diffraction Theory

419

(36)

Radiation problem

419

(7)

Plane-interface problems

426

(11)

Rigorous theory of edge diffraction

437

(12)

Approximate theories of diffraction by apertures

449

(6)

Focusing Problems

455

(48)

Debye theory for rotationally symmetric optical system

456

(26)

Focusing through a plane dielectric interface

482

(21)

PART VI ZONE-PLATE LENSES FOR SOUND AND WATER WAVES

Zone-plate Lenses for Sound Waves in Water

503

(25)

Single zone-plate lens

503

(19)

Zone-plate doublet

522

(6)

Zone-plate Lens for Focusing of Ocean Swells

528

(7)

PART VII FOCUSING OF WATER WAVES

Linear Waves

535

(22)

Propogation theory

535

(7)

Focusing problems

542

(15)

Non-linear Waves

557

(22)

Linear parabolic theory

559

(4)

Non-linear parabolic theory

563

(2)

Non-linear evolution of spectral amplitude

565

(4)

Experimental procedure

569

(8)

Comparison between experiment and theory

577

(2)

References

579

(10)

Subject Index

589

(8)

Author Index

597

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

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