Huygens principle

Discussion in 'Differentiation and Integration' started by PETILLON, Aug 16, 2017.

  1. PETILLON

    PETILLON

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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):
    WaveFrontPropagation.png
    Numerical integration gives the expected value (pure delay operator):
    PureDelay.png
    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
     
    PETILLON, Aug 16, 2017
    #1
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