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Adaptive Fresnel

Roy Vincent L. Canseco, MSEE      Jan 2014


Physicists use the Fresnel integrals to compute for the intensity of light near a straight edge.


C(x) = int(cos((1/2)*Pi*t^2), t = 0 .. x)

and

S(x) = int(sin((1/2)*Pi*t^2), t = 0 .. x)



We perform numerical adaptive integration using Maple software.






0.56362893130.4991872880

We compare the results to the Maple Fresnel routines.

0.56363118870.4991913819


The error is only in the order of  10^-4.



Information on the partitioning can be found using the following Maple command

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