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

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

Waves in Focal Regions

Propagation, Diffraction and Focusing of Light, Sound and Water Waves

ByJ.J Stamnes

Edition1st Edition

First Published1986

eBook Published13 November 2017

Pub. locationNew York

ImprintRoutledge

DOIhttps://doi.org/10.1201/9780203733998

Pages618 pages

eBook ISBN9780203733998

SubjectsEngineering & Technology, Physical Sciences

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.

Part 1|13 pages

Introduction to Image Formation and Focusing

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Chapter 1|7 pages

Brief History

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Chapter 2|2 pages

Applications

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Chapter 3|2 pages

Combined Method of Ray Tracing and Diffraction

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Part 2|71 pages

Diffraction of Scalar Waves

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Chapter 4|24 pages

Diffraction of Three-dimensional Waves

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Chapter 5|5 pages

Diffraction of Two-dimensional Waves

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Chapter 6|14 pages

Ray Connection of Huygens’ Principle

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Chapter 7|25 pages

Numerical Methods for Evaluating Diffraction Integrals

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Part 3|152 pages

Asymptotic Theories of Diffraction

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Chapter 8|45 pages

Method of Stationary Phase for Single Integrals

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Chapter 9|27 pages

Method of Stationary Phase for Double Integrals

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Chapter 10|38 pages

Asymptotic Theory of Diffraction for Two-Dimensional Waves

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Chapter 11|38 pages

Asymptotic Theory of Diffraction for Three-Dimensional Waves

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Part 4|178 pages

Focusing of Scalar Waves

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Chapter 12|134 pages

Three-dimensional Waves

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Chapter 13|21 pages

Two-dimensional Waves

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Chapter 14|19 pages

Computation of Focused Fields

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Part 5|84 pages

Diffraction and Focusing of Electromagnetic Waves

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Chapter 15|36 pages

Diffraction Theory

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Chapter 16|46 pages

Focusing Problems

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Part 6|31 pages

Zone-Plate Lenses for sound and Water Waves

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Chapter 17|25 pages

Zone-plate Lenses for Sound Waves in Water

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Chapter 18|4 pages

Zone-plate Lens for Focusing of Ocean Swells

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Part 7|45 pages

Focusing of Water Waves

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Chapter 19|22 pages

Linear Waves

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Chapter 20|21 pages

Non-linear Waves

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