Lecture 9 Notes: Hankel Transform, Fourier Bessel Transform, and

OPTI512R - Linear Systems and Fourier Optics

Lecture 9 Notes: Hankel Transform, Fourier Bessel Transform, and Radon Transform

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Many of the two-dimensional functions that we would be interested in in our optics class will have azimuthal symmetry. Examples are circular lenses and apertures. For the most part, we will consider only functions that do not vary with azimuth at all. However, the analysis tools that we develop here are generally applicable to other types of symmetry.

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