Biconic Surface



A biconic surface is similar to a toroidal surface, except the conic constant and base radius may be different in the X and Y directions. The biconic surface allows specification of Rx, Ry, Kx, and Ky directly. The sag of a biconic is given by:

Where

and

The biconic surface is defined by 13 parameters:

Parameter # Description Face Name Face #
1 The base radius of curvature in the XZ plane. If this value is zero, then the XZ curvature is assumed to be zero. All Faces 0
2 The base radius of curvature in the YZ plane. If this value is zero, then the YZ curvature is assumed to be zero. All Faces 0
3 The X direction conic. All Faces 0
4 The Y direction conic. All Faces 0
5-6 The maximum X/Y aperture in lens units. All Faces 0
7-8 The minimum X/Y aperture in lens units. These parameters are ignored if the "Is Rectangle?" parameter is zero. All Faces 0
9-10 Unused. All Faces 0
11 The "Is Rectangle?" flag. If zero, the resulting surface shape will have an elliptical boundary. If non-zero, the surface will have a rectangular boundary. All Faces 0
12 The "Is Top Hyper?" flag. If zero, the maximum Y aperture will lie on the non-hyperhemispheric portion of the surface. If non-zero, the maximum Y aperture of the surface will be hyperhemispheric. This parameter is ignored if the "Is Rectangle?" parameter is zero, if the Y direction conic is less than or equal to -1.0, if the maximum Y aperture is less than zero, or if the XZ base radius is non-zero. All Faces 0
13 The "Is Bot Hyper?" flag. If zero, the minimum Y aperture will lie on the non-hyperhemispheric portion of the surface. If non-zero, the minimum Y aperture of the surface will be hyperhemispheric. This parameter is ignored if the surface is elliptical, if the Y direction conic is less than or equal to -1.0, if the minimum Y aperture is greater than zero, or if the XZ base radius is non-zero. All Faces 0

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