Acoustic hologram reconstructor using surface acoustic wave devices

A hologram reconstructor, which is part of a system for converting an acoustical hologram developed from a square acoustic image comprising N.sup.2 elements, into a focused optical image, the square having a side of length L, comprising:

• means for accepting a stream of electrical input data, A cos .phi. and A sin .phi. developed from the acoustic image, A being an amplitude and .phi. being a phase angle, both being a function of Z, the distance from a point acoustic source to the plane of N.sup.2 transducers located in an array perpendicular to Z, one output of this means being the discrete signal U.sub.s (nl,.sub.ml), where m=n=0,1,2, . . . , N-1, l = (L/N) = the spacing between the hydrophones, another output of the means being the quantity Z;
• a memory, connected to and which receives the U.sub.s (nl,ml), signal from, said input data means, which stores the N.sup.2 discrete values of the signal U.sub.s (nl,ml);
• means, connected to said memory, for controlling the movement of the stream of electrical input data;
• a first function generator, whose input is connected to said input data means and said controlling means which generates the signals cos .alpha. n.sup.2 and sin .alpha. n.sup.2, the term .alpha. including a focusing term for the Z dimension of the planar array, which corrects for near-field phase curvature;
• a second function generator for generating the two functions sin (.pi./N) k.sup.2 and cos (.pi./N) k.sup.2 ;
• a pair of convolvers, whose inputs are connected to the outputs of said controlling means and said two function generators, which convolve the input signals, said controlling means causing a row-by-row flow of a continuous stream of Fourier coefficients from said two convolvers, which coefficients are written back into said memory, read out column-by-column, and fed back into said convolvers, to be transformed into two-dimensional Fourier transform coefficients;
• and
• a squaring and summing circuit, whose input is connected to the output of said controlling means, which accepts the Fourier transformed coefficients from said two convolvers, where they are converted into N.sup.2 intensity signals in a square array of N rows and N columns.