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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Photon echo possibilities with information processing in hypercomplex space

Anatolii N. Leukhin, Ivan I. Popov

Published Nov 15, 2001• 0 citations
Publisher

Abstract

Mode of photon echo (PE) exciting is theoretically considered, when in quality the pulse-code is used a set of pulses with the different time and polarizing characteristics. It is offered to consider a combination of polarizing and peak-time characteristics of a PE signal in algebra of quaternion. A principle of information processing with quaternion representation of signals is experimentally realized.

DOI
10.1117/12.447951

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Bulletin of the Russian Academy of Sciences Physics•Feb 1, 2009•1 citation
Mode of photon echo (PE) exciting is theoretically considered, when in quality the pulse-code is used a set of pulses with the different time and polarizing characteristics. It is offered to consider a combination of polarizing and peak-time characteristics of a PE signal in algebra of quaternion. A principle of information processing with quaternion representation of signals is experimentally realized.
The work is devoted to the problem of presentation of informative parameters of photon echo signal in different hypercomplex spaces. Particular attention is directed to the polarization and time properties of photon echo, which can be useful for compression information in one optic channel. The experimental result of separating information by the polarization character are shown. The new effective scheme of coding information in technique of photon echo are discussed in detail. The considering of collection of informative parameters of photon echo signal is offered to consider in one of the isomorphic hypercomplex algebra.
The effect of the rotating of the photon echo polarization vector is offered for a construction of the opto-electronic current transformer. As an active medium that allows get the photon echo the vapors of molecular iodine are used. The theoretical model of the opto-electronic current transformer is discussed. The results of investigation of photon echo (PE), excited by complexly coded laser pulses in molecular Iodine vapors under action of the homogeneous longitudinal magnetic field are given in this work. The recording possibility of special information by exciting pulses on a pair of quantum levels of resonant gas (molecular Iodine vapors) in technique PE is shown experimentally. In this shown experiment the information has two by two values of two relevant features and is represented by the amplitude-time shape and direction of linear polarization vector of radiation. The possibility of using the detected features of formation PE under the action of magnetic field for development the physical principles of the quantum control and for optical information processing introduced by hypercomplex number - quaternion - is shown.
This work is dedicated to investigation the properties and opportunities of photon echo with the purpose of development the physical principle of embodying the optical evaluations on a superposition state of the group of excited particles of resonant gas, which could serve as a basis for increasing of features of quantum information processing regime which is supposed in work. One of the possible physical representations of a quaternion in the signal of photon echo is offered. The principle of the optical echo-processor operation is described to fulfill the operations with quantities which are introduced by quaternions. The example of optical transformation of quaternion quantity in the optical echo-processor is given.