Two mirror system
AssigneesDrexel University, The Trustees of the University of Pennsylvania
InventorsRobert Andrew Hicks, Christopher Croke
Life of this patent
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Abstract
A method for producing a multiple surface system that may be a two-mirror surface. The method involves first finding from a given primary curve an appropriate secondary curve. The method then uses ideas from exterior differential systems to grow from the primary curve and the secondary curve, primary and secondary mirror surfaces. The Cartan-Kähler theorem gives a strong indication of the existence of such solution surfaces.
Claims19
A method for producing a multiple surface system comprising:
- generating a primary curve;
- determining from the primary curve a secondary curve based on the primary curve so that the resulting secondary curve is a Cauchy curve in six dimensions that is Kähler regular;
- progressively determining a primary surface and a secondary surface based on the primary curve and the secondary curve;
- and
- producing the primary surface and the secondary surface.
A two-mirror system produced by a method comprising:
- generating a primary curve;
- determining a secondary curve based on the primary curve so that the resulting Cauchy curve in six dimensions is Kähler regular;
- progressively determining a primary mirror surface and a secondary mirror surface based on the primary curve and the secondary curve;
- and
- producing the primary mirror surface and the secondary mirror surface.
A method for producing a multiple mirror system comprising:
- generating a primary curve;
- determining from the primary curve a secondary curve using exterior differential systems;
- progressively determining a primary mirror surface and a secondary mirror surface based on the primary curve and the secondary curve;
- and
- producing the primary mirror surface and the secondary mirror surface.
Dependencies are inferred from the claim text.