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Pearcey integral

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Pearcey integral

In mathematics, the Pearcey integral is defined as

Pe ( x , y ) = exp ( i ( t 4 + x t 2 + y t ) ) d t .

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

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

References

Pearcey integral Wikipedia