Abstract
We propose an alternative method for evaluating numerically the complete set of integer order Hankel transforms that constitute a free-space paraxial wave. This algorithm consists only of fast Fourier transforms and one-dimensional interpolations, making it fast and efficient. To prove its reliability we compare the reconstruction it provides with the analyzed wavefield for a wide variety of profiles. Additionally, we make use of this set of Hankel transforms to construct an alternative free-space beam propagation scheme which, based on the evidence presented, we can conclude hinders the aliasing effect inside a finite region of space.
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