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1: Sidebar 9.SB2: Interference Patterns in Caustics

Sidebar 9.SB2: Interference Patterns in Caustics

… ►The oscillating intensity of the interference fringes across the caustic is described by the Airy function.

2: 7.3 Graphics

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Figure 7.3.4: ${|ℱ\left(x\right)|}^2$, $-8\le x\le 8$. Fresnel (1818) introduced the integral $ℱ\left(x\right)$ in his study of the interference pattern at the edge of a shadow. … Magnify

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3: 36.14 Other Physical Applications

… ►Diffraction catastrophes describe the (linear) wave amplitudes that smooth the geometrical caustic singularities and decorate them with interference patterns. … ►, swimming-pool patterns), and water-droplet “lenses” (e. …

4: Sidebar 9.SB1: Supernumerary Rainbows

… ►The faint line below the main colored arc is a ‘supernumerary rainbow’, produced by the interference of different sun-rays traversing a raindrop and emerging in the same direction. …

5: Bibliography B

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Pionic atoms. Annual Review of Nuclear and Particle Science 20, pp. 467–508.

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External Links:

Document

Referenced by:

§33.22(iv).

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Coulomb functions (negative energies). Comput. Phys. Comm. 20 (3), pp. 447–458.

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Notes:

Double-precision Fortran code.

External Links:

Document, Code

Referenced by:

1st item, 4th item.

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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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Some solutions of the problem of forced convection. Philos. Mag. Series 7 20, pp. 322–343.

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External Links:

Document, ZentralBlatt

Referenced by:

§10.73(iv).

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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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ISBN 0-521-64222-1

Referenced by:

§7.21.

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6: Sidebar 21.SB1: Periodic Surface Waves

… ►The caption reads “Mosaic of two overhead photographs, showing surface patterns of waves in shallow water”. …

7: Sidebar 7.SB1: Diffraction from a Straightedge

… ►The faint circular patterns are additional diffraction effects due to imperfections in the edge.

8: 20 Theta Functions

Chapter 20 Theta Functions

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9: 36.13 Kelvin’s Ship-Wave Pattern

§36.13 Kelvin’s Ship-Wave Pattern

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Figure 36.13.1: Kelvin’s ship wave pattern, computed from the uniform asymptotic approximation (36.13.8), as a function of $x=\rho \cos \varphi$, $y=\rho \sin \varphi$. Magnify

►For further information see Lord Kelvin (1891, 1905) and Ursell (1960, 1994).

10: Sidebar 5.SB1: Gamma & Digamma Phase Plots

… ►This pattern is analogous to one that would be seen in fluid flow generated by a semi-infinite line of vortices. …