Lommel

MATLAB

[L M] = Lommel(u,v,[tol])

Description

Computes values of the Lommel functions L and M using U and V Lommel functions to within an absolute tolerance of tol. If tol is an integer, TOL terms will be used in the series expansion.

Parameters

Parameters	Description
u [scalar]	First argument - typically Fresnel number.
v [vector]	Second argument - typically scaled radius aperture coordinate.
tol [scalar]	(Optional) Tolerance or number of terms used in the series expansion. Defaults to 3.

Return Values

Return Values	Description
L [vector]	Lommel function, L.
M [vector]	Lommel function, M.

References

K. D. Mielenz, "Algorithms for Fresnel Diffraction at Rectangular and Circular Apertures," J. Res. Natl. Inst. Stand. Technol., vol. 103, pp. 497-509, 1998.