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In mathematics, the Pearcey integral is defined as
:
The Pearcey integral is a class of canonical diffraction 
In optics, the Pearcey integral can be used to model diffraction effects at a cusp caustic, which corresponds to the boundary between two regions of geometric optics: on one side, each point is contained in three light rays; on the other side, each point is contained in one light ray.
In mathematics, the Pearcey integral is defined as
:
The Pearcey integral is a class of canonical diffraction integrals
In mathematics, an integral assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinitesimal data. The process of finding integrals is called integration. Along with di ...
, often used in wave propagation
Wave propagation is any of the ways in which waves travel. Single wave propagation can be calculated by 2nd order wave equation ( standing wavefield) or 1st order one-way wave equation.
With respect to the direction of the oscillation relative to ...
and optical diffraction
Diffraction is defined as the interference or bending of waves around the corners of an obstacle or through an aperture into the region of geometrical shadow of the obstacle/aperture. The diffracting object or aperture effectively becomes a s ...
problems The first numerical evaluation of this integral was performed by Trevor Pearcey
Trevor Pearcey (5 March 1919 – 27 January 1998) was a British-born Australian scientist, who created CSIRAC, one of the first stored-program electronic computers in the world.
Born in Woolwich, London, he graduated from Imperial College in 194 ...
using the quadrature formula.
In optics, the Pearcey integral can be used to model diffraction effects at a cusp caustic, which corresponds to the boundary between two regions of geometric optics: on one side, each point is contained in three light rays; on the other side, each point is contained in one light ray.
References