Method and apparatus for second-rank tensor generation

Details Method and apparatus for second-rank tensor generation Method and apparatus for second-rank tensor generation

1989-02-16

1991-04-09

LaRoche, Eugene R.

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350353, 350358, 364713, 364822, 364837, 364841, 364845, 364846, G02B 523, G06G 716, G06G 7162, G06G 900

Patent

active

050059548

ABSTRACT:
A method and apparatus for generation of second-rank tensors using a photorefractive crystal to perform the outer-product between two vectors via four-wave mixing, thereby taking 2n input data to a control n.sup.2 output data points. Two orthogonal amplitude modulated coherent vector beams x and y are expanded and then collimated before directing them onto two opposing parallel sides of the photorefractive crystal in exact opposition. A beamsplitter is used to direct a coherent pumping beam onto the crystal at an appropriate angle so as to produce a conjugate beam that is the matrix product of the vector beams x and y, and to separate the resulting conjugate beam that propagates in the exact opposite direction from the pumping beam. The conjugate beam thus separated is the tensor output xy.sup.T.

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Pepper, D. M. et al.; "Spatial Convolution and Correlation of Optical Fields via Degenerate Four-Wave Mixing"; Jul. 1978; p. 79; Optic Letters.
Shkunov et al.; "Optical Phase Conjugation"; Dec. 1985; pp. 54-59; Scientific American.

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