Biconic Zernike Lens

A Biconic Zernike Lens is either rectangular or elliptical in shape, with a standard surface on the front face and a biconic Zernike surface on the rear face. The rear surface is described by the following sag equation:

Where

and

Rx and Ry are the radius of curvature values in the x and y directions, k_x and k_y are the conic constants in the x and y directions, the α terms are the x aspheric coefficients, the β terms are the y aspheric coefficients, N is the number of Zernike coefficients in the series, A_i is the coefficient on the i^th Zernike Standard polynomial, r is the radial coordinate in lens units, ρ is the normalized radial coordinate, and is the angular coordinate. The Zernike Standard polynomials are defined in the table given in "Zernike Standard Coefficients".

The following parameters are used to define the Biconic Zernike Lens:

Parameter #	Description	Face Name	Face #
1	The Radial Height of the lens in the y direction in lens units.	NA	NA
2	The X Half-Width in lens units. If this parameter is zero, thenthe outer boundary of the lens will be a circle with a radial size equal to the Radial Height. If this parameter is positive, the outer boundary of the lens will be rectangular. If this parameter is negative, the outer boundary of the lens will be elliptical.	NA	NA
3	The center thickness of the lens.	Side	0
4-5	Unused.	NA	NA
6	The front face radius of curvature. Use zero for flat.	Front	1
7	The front conic constant.	Front	1
8-9	The rear face radius in the X/Y direction. Use zero for flat.	Back	2
10-11	The rear face conic in the X/Y direction.	Back	2
12	The number of Standard Zernike terms.	NA	NA
13	The normalization radius for the Zernike terms.	NA	NA
14-29	The x direction aspheric coefficients.	Back	2
30-45	The y direction aspheric coefficients.	Back	2
46-249	The Zernike Standard coefficients.	Back	2

Face Numbers: Front face is Face 1, back face is Face 2, all other faces are Face 0.

Next:

• Biconic Surface