Wolfram Language

Compute the Hankel Transform of a Function

Hankel transforms arise naturally in many applications, such as the study of waves, optics and acoustics. The HankelTransform function underlies the computation of Fourier transforms for two-dimensional radially symmetric functions in Version 12.

Compute the Hankel transform of an exponential function.

Obtain the original function using InverseHankelTransform.

Create a table of basic Hankel transforms.

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Define a radially symmetric function in two dimensions.

Compute the Fourier transform of the function.

Plot the Fourier transform:

Obtain the same result in polar coordinates using HankelTransform.

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