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‘Into a mist’: asymptotic theories on a caustic. (English) Zbl 1222.78001


MSC:

78-03 History of optics and electromagnetic theory
00A79 Physics
01A60 History of mathematics in the 20th century
78A10 Physical optics
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[1] Airy, G. B., On the Intensity of Light in the Neighbourhood of a Caustic, Transactions of the Cambridge Philosophical Society, 6, 379-403 (1838)
[2] Batterman, R. W., Universality, Unification, and Understanding (1996)
[3] Berry, M. V., ‘Stokes’ Phenomenon: Smoothing a Victorian Discontinuity, Publications Mathématiques de l’Institut des Hautes Études Scientifiques, 68, 211-221 (1989) · Zbl 0701.58012
[4] Berry, M. V., Beyond Rainbows, Current Science, 59, 21& 22, 1175-1191 (1990)
[5] Berry, M. V., Waves Near Stokes Lines, (Proceedings of the Royal Society of London A, 427 (1990)), 265-280 · Zbl 0694.34046
[6] Berry, M. V., Asymptotics, Superasymptotics, Hyperasymptotics…, (Segur, H.; Tanveer, S.; Levine, H., Asymptotics Beyond All Orders. Asymptotics Beyond All Orders, NATO ASI Series (1991), Plenum Press: Plenum Press New York)
[7] Berry, M. V.; Howls, C. J., Hyperasymptotics, (Proceedings of the Royal Society of London A, 430 (1990)), 653-667 · Zbl 0745.34052
[8] Dingle, R. B., Asymptotic Expansions and Converging Factors: Remarks on a Paper by Jeffreys, Buletinul Institutului Politehnic Din Iasi, 8, 53-60 (1962) · Zbl 0193.01702
[9] Dingle, R. B., Asymptotic Expansions: Their Derivation and Interpretation (1973), Academic Press: Academic Press London · Zbl 0279.41030
[10] Hardy, G. H., Divergent Series (1949), Clarendon Press: Clarendon Press Oxford · Zbl 0032.05801
[11] Meyer, R. E., A Simple Explanation of the Stokes Phenomenon, SIAM Review, 31, 435-445 (1989) · Zbl 0679.34068
[12] Nussenzveig, H. M., The Theory of the Rainbow, (Lynch, D. K., Atmospheric Phenomena: Readings from Scientific American (1980), Scientific American, Inc), 60-71
[13] Stokes, G. G., On the Discontinuity of Arbitrary Constants that Appear as Multipliers of Semi-convergent Series, (Mathematical and Physical Papers by the Late Sir George Gabriel Stokes, Vol. 5 (1966), Johnson Reprint Corporation: Johnson Reprint Corporation New York), 283-287
[14] Stokes, G. G., On the Discontinuity of Arbitrary Constants which Appear in Divergent Developments, (Mathematical and Physical Papers by the Late Sir George Gabriel Stokes, Vol. 4 (1966), Johnson Reprint Corporation: Johnson Reprint Corporation New York), 77-109 · JFM 02.0163.03
[15] Stokes, G. G., On the Numerical Calculation of a Class of Definite Integrals and Infinite Series, (Mathematical and Physical Papers by the Late Sir George Gabriel Stokes, Vol. 2 (1966), Johnson Reprint Corporation: Johnson Reprint Corporation New York), 329-357
[16] Voros, A., The Return of the Quartic Oscillator. The Complex WKB Method, Annales de l’Institut Henri Poincaré-Section A, 39, 3 (1983) · Zbl 0526.34046
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