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1: Sidebar 9.SB2: Interference Patterns in Caustics

Sidebar 9.SB2: Interference Patterns in Caustics

… ►The bright sharp-edged triangle is a caustic, that is a line of focused light. The oscillating intensity of the interference fringes across the caustic is described by the Airy function.

2: 36.14 Other Physical Applications

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§36.14(i) Caustics

►The physical manifestations of bifurcation sets are caustics. …Diffraction catastrophes describe the (linear) wave amplitudes that smooth the geometrical caustic singularities and decorate them with interference patterns. …

3: 9.16 Physical Applications

§9.16 Physical Applications

… ► Airy on the intensity of light in the neighborhood of a caustic (Airy (1838, 1849)). …

4: Bibliography

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High-order interior caustics produced in scattering of a diagonally incident plane wave by a circular cylinder. J. Opt. Soc. Amer. A 14 (6), pp. 1305–1315.

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§36.14(ii).

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On the intensity of light in the neighbourhood of a caustic. Trans. Camb. Phil. Soc. 6, pp. 379–402.

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§9.16, §9.16.

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Supplement to a paper “On the intensity of light in the neighbourhood of a caustic”. Trans. Camb. Phil. Soc. 8, pp. 595–599.

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§9.16.

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5: 36.13 Kelvin’s Ship-Wave Pattern

… ►The wake is a caustic of the “rays” defined by the dispersion relation (“Hamiltonian”) giving the frequency $\omega$ as a function of wavevector $𝐤$: …

6: Bibliography N

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Natural Focusing and Fine Structure of Light: Caustics and Wave Dislocations. Institute of Physics Publishing, Bristol.

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ISBN 0-7503-0610-6, MathReview (Peter Giblin), ZentralBlatt

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§36.14(ii).

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7: Bibliography K

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Asymptotic solution of Maxwell’s equations near caustics. Izv. Vuz. Radiofiz. 7, pp. 1049–1056.

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§36.14(i).

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Rays and caustics as physical objects. In Progress in Optics, E. Wolf (Ed.), Vol. 26, pp. 227–348.

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ISBN 0444870962

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§36.14(i).

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8: Bibliography P

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The structure of an electromagnetic field in the neighbourhood of a cusp of a caustic. Philos. Mag. (7) 37, pp. 311–317.

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MathReview (C. J. Bouwkamp)

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§36.2(ii).

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9: Bibliography F

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Travel time surface of a transverse cusp caustic produced by reflection of acoustical transients from a curved metal surface. J. Acoust. Soc. Amer. 95 (2), pp. 650–660.

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§36.14(iv).

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10: Bibliography W

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Caustics: Mathematical curves generated by light shined through rippled plastic. Scientific American 249, pp. 146–153.

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§36.14(ii).

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