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Lommel
[L M] = Lommel(u,v,[tol])
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.
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Parameters |
Description |
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u [scalar] |
First argument - typically Fresnel number. |
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v [vector] |
Second argument - typically scaled radius aperture coordinate. |
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tol [scalar] |
(Optional) Tolerance or number of terms used in the series expansion. Defaults to 3. |
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Return Values |
Description |
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L [vector] |
Lommel function, L. |
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M [vector] |
Lommel function, M. |
K. D. Mielenz, "Algorithms for Fresnel Diffraction at Rectangular and Circular Apertures," J. Res. Natl. Inst. Stand. Technol., vol. 103, pp. 497-509, 1998.
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Description