Biconic Zernike
The biconic Zernike surface is similar to a biconic surface, with the added capability to add X, Y, and Zernike polynomial deformations. The sag of a biconic Zernike is given by:
Where
and the Zi terms are the Zernike standard terms as described in "Zernike Standard Sag".
Parameter 0 is the extrapolate flag. If the extrapolate flag is set to 0, the Zernike terms are ignored outside of the normalization radius. If the extrapolate flag is set to 1, then the Zernike terms are considered no matter where the ray lands on the surface; even if the ray lands beyond the normalization radius. The radius and conic in the x direction are set in the parameter 1 and 2 columns. If the radius is set to zero, the x radius is interpreted to be infinity. Parameter 3 is the maximum number of Zernike terms, this value may be between 0 and 210, inclusive. Parameter 4 is the normalization radius used in the Zernike expansion.
PARAMETER DEFINITIONS FOR BICONIC ZERNIKE SURFACES
| Parameter # | Definition |
| 0 | Extrapolate |
| 1 | Rx |
| 2 | kx |
| 3 | Number of Zernike terms (maximum 210) |
| 4 | Normalization Radius |
| 13-28 | Coefficients on powers of x |
| 29-44 | Coefficients on powers of y |
| 45-254 | Coefficient on the Zernike Standard polynomials |
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