## Principles of Optics, 6th Ed

- M. Born, E. Wolf
- 1980

@article{Cerjan2006BesselzernikeDV, title={Bessel-zernike discrete variable representation basis.}, author={Charles J Cerjan}, journal={The journal of physical chemistry. A}, year={2006}, volume={110 16}, pages={5495-8} }

- Published 2006 in The journal of physical chemistry. A

The connection between the Bessel discrete variable basis expansion and a specific form of an orthogonal set of Jacobi polynomials is demonstrated. These so-called Zernike polynomials provide alternative series expansions of suitable functions over the unit interval. Expressing a Bessel function in a Zernike expansion provides a straightforward method of generating series identities. Furthermore, the Zernike polynomials may also be used to efficiently evaluate the Hankel transform for rapidly… CONTINUE READING

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