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The math derivation of Huygens principle in 2D, applied to a plane wavefront propagation, gives the following field complex amplitude at a distance "d" of the initial wavefront (the unit for distances is the wavelength):

[ATTACH=full]3[/ATTACH]

Numerical integration gives the expected value (pure delay operator):

[ATTACH=full]4[/ATTACH]

But Mathematica(r) fails to derive a close form solution to the above integrale.

Does anybody knows a way to derive it?


Regards,


Jean-Paul


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