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