A Hankel transform distribution algorithm for paraxial wavefields with an application to free-space optical beam propagation

作者：Ruelas Adrian^*; Lopez Aguayo Servando; Gutierrez Vega Julio C

来源：Journal of Optics, 2016, 18(9): 095605.

DOI：10.1088/2040-8978/18/9/095605

• Hankel transform
• free-space paraxial optics
• optical beam propagation
• Bessel beam spatial modes
• orbital angular momentum

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.

• 出版日期2016-9