KEYWORDS: Signal processing, Channel projecting optics, Analog electronics, Chemical species, Modeling, Digital signal processing, Chemical elements, Semiconductor lasers, Modulators, Information science
We inform on modelling a photon echo (PhE) shaping conditions as analog process which substitutes a part of labourconsuming
computing operations at numerical calculation PhE in a formalism of quaternions algebra, and about its
application for a computer construction (CC) for quaternion magnitudes.
Principle possibility of construction of optical echo-processors with hypercomplex architecture on the basis of physics of photon echo for computational process is shown. Mathematical basis of presentation of quaternion type in optical echo processor is developed. Coding and decoding protocols of information processing with quaternion type are
offered. Example of calculating quaternion Fourier transform is demonstrated.
KEYWORDS: Chemical species, Mathematical modeling, Plutonium, Vector spaces, Electromagnetism, Space operations, Chemical elements, Differential equations, Argon, Signal processing
Mathematical formalism of photon echo exciting at interaction of two-level quantum system with an electromagnetic field within the framework of quaternion algebra is offered. The rotation quaternion is used instead of density operator for representation of interaction dynamics of an exterior field with two-level atom, where the components of rotation quaternion are the coordinates of Bloch vector. Liouville fon-Neumann equation for density matrix evolution is substituted by the differential quaternion equation in a quaternion model. The expression for rotation quaternion appropriating to an unitary operator of rotation in matrix representation is obtained. It is shown that the solution of the differential quaternion equation does not require the difficult mathematical operation connected to an evaluation of an exponent from a matrix. The expression for a quaternion superoperator is obtained.
KEYWORDS: Chemical species, Signal processing, Quantum computing, Chemical elements, Quantum optics, Electromagnetism, Vector spaces, Physics, Optical signal processing, Quantum physics
Quaternion algebra is offered as the mathematical formalism of dynamics of interaction of a two-level quantum system with an electromagnetic field. Condition of two-level atom, densities operator, Bloch vector, “gyrating moment” vector are considered as the elements of a one-dimensional vector space of quaternion H1, i.e. are represented as quaternion. Bloch equations in a quaternion formalism are noted. Solution method of the differential quaternion Bloch equation is obtained.
KEYWORDS: Polarization, Data processing, Signal processing, Iodine, Sensors, Photon polarization, Molecules, Signal detection, Personal protective equipment, Channel projecting optics
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.
Visual method of identification of the branch type of resonant transition is suggested in this paper. the method is based on the measurement of ratio of primary photon echo amplitude to stimulated photon echo amplitude in the magnetic field, when the effect of non-Faraday rotation of the photon echo polarization vector is occurred. The experimental results of identification of the resonant transitions in the vapor of molecular iodine are demonstrated. The results were checked by the measurement of the maximum rotation angle range of primary photon polarization vector. This parameter is similarly characterized the resonant transition. For the first time fact of registration of the non-Faraday rotation polarization vector of stimulated echo, formed on the different resonant transitions, is reported.
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.
For a construction of the opto-electronic current transformer the effect of rotating of the photon echo (PE) polarization vector is offered. As an active ambience allowing get the photon echo the vapors of molecular iodine are used. The theoretical model of the opto-electronic current transformer (OECT) is discussed. The explanatory graphs of the n echo polarization vector rotating effect, as well as the principle scheme of the current measurement, are shown in the paper.
Principles of the laser cooling detection by means of photon echo technicians are considered in this paper. The experiment allowing register a degree of short-pulse laser cooling is described in this paper. By means of coherent part of radiating it is realized registration of mode cooling.
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