optical diffraction

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1: 11.12 Physical Applications

… ►Applications of Struve functions occur in water-wave and surface-wave problems (Hirata (1975) and Ahmadi and Widnall (1985)), unsteady aerodynamics (Shaw (1985) and Wehausen and Laitone (1960)), distribution of fluid pressure over a vibrating disk (McLachlan (1934)), resistive MHD instability theory (Paris and Sy (1983)), and optical diffraction (Levine and Schwinger (1948)). …

2: 36.14 Other Physical Applications

… ►Diffraction catastrophes describe the connection between ray optics and wave optics. …

3: Sidebar 7.SB1: Diffraction from a Straightedge

Sidebar 7.SB1: Diffraction from a Straightedge

… ►Photograph of light diffracted by a straightedge. …Fresnel integrals have many applications in optics. The faint circular patterns are additional diffraction effects due to imperfections in the edge.

4: Bibliography B

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Catastrophe optics: Morphologies of caustics and their diffraction patterns. In Progress in Optics, E. Wolf (Ed.), Vol. 18, pp. 257–346.

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Referenced by:

§36.14(ii), Ch.36.

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Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light. 7th edition, Cambridge University Press, Cambridge.

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External Links:

ISBN 0-521-64222-1

Referenced by:

§7.21.

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5: 9.16 Physical Applications

… ►Details of the Airy theory are given in van de Hulst (1957) in the chapter on the optics of a raindrop. … ►Within classical physics, they appear prominently in physical optics, electromagnetism, radiative transfer, fluid mechanics, and nonlinear wave propagation. …Extensive use is made of Airy functions in investigations in the theory of electromagnetic diffraction and radiowave propagation (Fock (1965)). …A quite different application is made in the study of the diffraction of sound pulses by a circular cylinder (Friedlander (1958)). … ►In the case of the rainbow, the scattering amplitude is expressed in terms of $\mathrm{Ai}\left(x\right)$, the analysis being similar to that given originally by Airy (1838) for the corresponding problem in optics. …

6: Bibliography F

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Electromagnetic Diffraction and Propagation Problems. International Series of Monographs on Electromagnetic Waves, Vol. 1, Pergamon Press, Oxford.

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External Links:

MathReview (R. F. Millar)

Referenced by:

§9.16.

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Diffraction of radio waves around the earth’s surface. Acad. Sci. USSR. J. Phys. 9, pp. 255–266.

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External Links:

MathReview, ZentralBlatt

Referenced by:

§9.1, Notations U, Notations V.

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Transverse cusp diffraction catastrophes produced by the reflection of ultrasonic tone bursts from a curved surface in water. J. Acoust. Soc. Amer. 92 (5), pp. 2869–2877.

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External Links:

Document

Referenced by:

§36.14(iv).

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Mémoire sur la diffraction de la lumière. Mém. de l’Académie des Sciences, pp. 247–382.

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Notes:

Œvres Complètes d’Augustin Fresnel, Paris, 1866

Referenced by:

Figure 7.3.4, Figure 7.3.4.

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Evaluation, design and extrapolation methods for optical signals, based on use of the prolate functions. In Progress in Optics, E. Wolf (Ed.), Vol. 9, pp. 311–407.

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Referenced by:

§30.15(i), §30.15(ii), §30.15(iii), §30.15(iv), §30.15(v), §30.15(v).

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7: Bibliography L

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Generating Bessel functions in Mie scattering calculations using continued fractions. Applied Optics 15 (3), pp. 668–671.

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Referenced by:

§3.10(iii), §3.10(iii), Erratum (V1.0.24) for Paragraph Steed’s Algorithm (in §3.10(iii)).

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On incomplete Airy functions and their application to diffraction problems. Radio Sci. 4 (10), pp. 959–969.

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External Links:

ISSN 0048-6604, Document, MathReview (T. Erber)

Referenced by:

§9.14.

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On the theory of diffraction by an aperture in an infinite plane screen. I. Phys. Rev. 74 (8), pp. 958–974.

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External Links:

Document, MathReview (C. J. Bouwkamp), ZentralBlatt

Referenced by:

§11.12.

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