Extended Odd Asphere Lens

The Extended Odd asphere surface shape is defined by the following equation:

where N is the number of polynomial coefficients in the series and α_i is the coefficient on the i^th extended polynomial term. The normalized radial coordinate ρ is used so that the coefficients α_i all have units of lens units. The maximum order number on the polynomial terms is 118 for each face.

The Extended Odd Asphere Lens object is composed of two of these faces, separated by a thickness. The object shape is defined by the following parameters:

Parameter #	Description	Face Name	Face #
1	The radial height of the lens object in lens units. This value is used for the y direction half height if the lens is rectangular or elliptical.	NA	NA
2	The x half-width in lens units. If this parameter is zero, then the 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 nega- tive, the outer boundary of the lens will be elliptical.	NA	NA
3	The center thickness of the lens in lens units.	Side	0
4	The front face radius of curvature. If this value is zero, then the curvature is assumed to be zero.	Front	1
5	The front face conic constant k.	Front	1
6	The front face normalization radius.	Front	1
7	The front face number of extended polynomial terms.	Front	1
8	The rear face radius of curvature. If this value is zero, then the curvature is assumed to be zero.	Back	2
9	The rear face conic constant k.	Back	2
10	The rear face normalization radius.	Back	2
11	The rear face number of extended polynomial terms.	Back	2
12 - 129	Front polynomial coeffecients (up to 118 terms)	Front	1
130-247	Back polynomial coeffecients (up to 118 terms)	Back	2

The reference coordinate is the center of the front face.

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

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• Extended Polynomial Lens