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Quantum Electronics

Method for optical data processing based on a two-pulse photon echo

Sergey M. Zakharov, Eduard A. Manykin

Published Feb 28, 1995• 1 citation
Publisher

Abstract

The principles of optical processing based on dynamic spatial—temporal properties of two-pulse photon echo signals are considered. The properties of a resonant medium as an on-line filter of temporal and spatial frequencies are discussed. These properties are due to the sensitivity of such a medium to the Fourier spectrum of the second exiting pulse. Degeneracy of quantum resonant systems, demonstrated by the coherent response dependence on the square of the amplitude of the second pulse, can be used for 'simultaneous' correlation processing of optical 'signals'. Various methods for the processing of the Fourier optical image are discussed.

DOI
10.1070/qe1995v025n02abeh000315

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The principles of optical processing based on dynamic spatial—temporal properties of two-pulse photon echo signals are considered. The properties of a resonant medium as an on-line filter of temporal and spatial frequencies are discussed. These properties are due to the sensitivity of such a medium to the Fourier spectrum of the second exiting pulse. Degeneracy of quantum resonant systems, demonstrated by the coherent response dependence on the square of the amplitude of the second pulse, can be used for 'simultaneous' correlation processing of optical 'signals'. Various methods for the processing of the Fourier optical image are discussed.
We examined the principles or designing optical inrormation processing systems based on the dmamic spatial and temporal properties o two—pulsed photon echo signals. Also discussed are the pro— perties o1 the resonant medium taken as an operational filter o tern— poral and spational frequencies conditioned by the sensitivity or ex— citing light pulses to the Fourier—spectrum. It was shown that the ability o quantum resonant schemes to degenerate, maniresting itseir depending on the resonant response rorn the square amplitude o the second exciting light pulse, can be used ror simultaneous correlative processing or optical images formed at the same time moments. Dir— rerences between methods o1 simultaneous image processing obtained by means or the Fourier optics are also discussed in the paper.
Principles for analog and digital optical processing based on the two- pulse photon echo (PE) phenomenon are considered. Various architecture designs of optical pattern recognition systems and optical processors for analog and digital processing are discussed. Also various schemes of digital processors for vector-matrix multiplication with the pixel structure and of holographic type are suggested. These realizations depend on using of digital temporal or spatial mixed binary multiplication based on the PE.
The effect of two-pulse photon echoes at the complicated action on a two-level medium with large inhomogeneous broadening of supremely short and quasiresonant pulses is investigated. Two versions of the action sequence of both pulses are considered. It is shown that the temporal properties of the echo signal are depended largely on the action order of indicated pulses. The effect of suppression of the optical echoes in the both cases at the action on a medium of the supremely short zeroth 'area' pulse is predicted. The qualitative procedure of definition of the complicated echoes spatial properties has been proposed and applied. It is shown that in indicated cases the diagrams of the echo signal intensity direction are not so peaked as in the case of common light echo.
Two-frequency correlation between the profiles of signals of the primary and long-lived (stimulated) photon echos in a three-level medium excited by combined sequences of resonance quasimonochromatic (encoding) signals and femtosecond pulses consisting of a few optical oscillations (down to one) is predicted. It is shown that the profiles of echo responses of both frequencies correlate with each other and with the profiles of encoding pulses, copy them, and induce mirror rotations, as well as scaling transformations in time in dependence on the methods of forming exciting sequences.
The photon echo application for optical digital processing of discrete images by the method of managing operators was examined. Photon echo is the pulse of light which is emitted spontaneously from a system of atoms previously irradiated by two or more coherent light pulses with length and power of 102divided by10-1 ps and 104divided by105 kW, respectively. These systems of resonant atoms are crystals with various paramagnetic activators. By using photon echo, the resonant systems are able to store and retrieve wave-front and temporal form of one of the excitation pulses. The photon echo application for information processing allows one to solve a number of problems with high efficiency. Different photon echo generating conditions can be utilized practically in all processor components, which creates certain prospects for using this effect in optical computing purposes.