Abstract
Zernike polynomials provide a well known, orthogonal set of scalar functions over a circular domain, and are commonly used to represent wavefront phase or surface irregularity. A related set of orthogonal functions is given here which represent vector quantities, such as mapping distortion or wavefront gradient. Previously, we have developed a basis of functions generated from gradients of Zernike polynomials. Here, we complete the basis by adding a complementary set of functions with zero divergence - those which are defined locally as a rotation or curl.
Original language | English (US) |
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Pages (from-to) | 6586-6591 |
Number of pages | 6 |
Journal | Optics Express |
Volume | 16 |
Issue number | 9 |
DOIs | |
State | Published - Apr 28 2008 |
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics