“Pearcey integral”的意思、由来-开放百科全书

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Pearcey integral

释义

Graphs
References

In mathematics, the Pearcey^[1] integral^[2] is defined as^[3]

The Pearcey integral is a class of canonical diffraction integrals, often used in wave propagation and optical diffraction problems^[4]

In optics, the Pearcey integral can be used to model diffraction effects at a cusp caustic.

Graphs

References

1. ^https://csiropedia.csiro.au/Pearcey-Trevor/
2. ^T. Pearcey, The structure of an electromagnetic field in the neighbourhood of a cusp of a caustic, The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 37, 311-317, 1946
3. ^Frank W. J. Olver, Daniel W. Lozier, Ronald F. Boisvert, Charles W. Clark, NIST Handbook of Mathematical Functions, p. 777, Cambridge, 2010
4. ^R.B.Paris, Hadamard Expansions and Hyperasymptotic Evaluation, p. 207, Encyclopedia of Mathematics and its Applications, 141, Cambridge, 2011

1 : Special functions

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