Making a Hyperhemispheric Surface

The biconic surface can also be used to make a hyperhemispheric cylinder surface, but only under these conditions:

1) The Rx and Kx values are set to zero.

2) The "Is Rectangle?" flag is set to 1 (that is, the surface boundary is a rectangle).

3) The Ky value is greater than -1.

For a surface that is hyperhemispheric on the top half, set the maximum Y aperture to a positive value and set the "Is Top Hyper?" flag to unity.

For a surface that is hyperhemispheric on the bottom half, set the minimum Y aperture to a negative value and set the "Is Bot Hyper?" flag to unity.

The surface may be hyperhemispheric in both the top and bottom portions at once, but currently only for the case of Rx = 0.0. If either the top or bottom is hyperhemispheric, the actual maximum Y aperture is given by

In this special case, a hyperhemispherical cylinder will result.

Face Numbers: All faces Face 0.

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• Biconic Zernike Surface