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Soviet Journal of Quantum Electronics

Optimal algorithm for amplitude-phase control in adaptive-optics systems and estimate of its quality

V. E. Kirakosyants, Vadim A. Loginov, V. V. Slonov

Published Dec 31, 1992• 0 citations
Publisher

Abstract

The problem of controlling the transmission of optical radiation through a randomly inhomogeneous medium is investigated for the case in which complete a priori information on the statistical properties of the propagation channel is available. An optimal control algorithm is found for adaptive-optics systems for an arbitrary ratio of the observation time interval to the coherence time of the propagation channel. Both cw and pulsed probe regimes are discussed. An estimate is obtained for the efficiency of this optimal algorithm for the steady adaptation state.

DOI
10.1070/qe1992v022n12abeh003684

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An analysis is made of the task of measuring and phase conjugation of the optical field against the background of noise in the case of a priori indeterminacy of the statistical properties of the received signal. Mode expansion of a useful signal is employed to show that the optimal algorithm may be realized in at least two variants: either on the basis of multichannel heterodyne reception and phase conjugation of the filtered signal at a radio frequency or with the aid of "physical" phase conjugation methods directly at an optical frequency. Expressions are obtained for estimating the quality of the measurements and phase conjugation. It is shown that practical realization of the latter variant of the optimal algorithm may result in a significant deterioration of the potential characteristics.
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We consider radiative transport in ultracold atomic systems under conditions of electromagnetically induced transparency. We calculate the macroscopic susceptibility and scattering tensors of the light and show that essential anisotropic optical properties such as dichroism and birefringence naturally appear. In such a case, light propagation through a spatially nonhomogeneous atomic cloud is considered for an arbitrary direction of the probe light. We determine the polarization properties of the coherently transmitted probe light as well as the polarization dependence of light incoherently scattered in an arbitrary direction. Both the steady state regime and time-dependent case are discussed. Concrete calculations are performed for the case of an inhomogeneous and ultracold sample of 87Rb^{87}\text{R}\text{b}87Rb atoms.
The theory of quantum state estimation is exploited here to investigate the most efficient strategies for this task, especially targeting a complete picture identifying optimal conditions in terms of Fisher information, quantum measurement, and associated estimator. The approach is specified to estimation of the phase of a qubit in a rotation around an arbitrary given axis, equivalent to estimating the phase of an arbitrary single-qubit quantum gate, both in noise-free and then in noisy conditions. In noise-free conditions, we establish the possibility of defining an optimal quantum probe, optimal quantum measurement, and optimal estimator together capable of achieving the ultimate best performance uniformly for any unknown phase. With arbitrary quantum noise, we show that in general the optimal solutions are phase dependent and require adaptive techniques for practical implementation. However, for the important case of the depolarizing noise, we again establish the possibility of a quantum probe, quantum measurement, and estimator uniformly optimal for any unknown phase. In this way, for qubit phase estimation, without and then with quantum noise, we characterize the phase-independent optimal solutions when they generally exist, and also identify the complementary conditions where the optimal solutions are phase dependent and only adaptively implementable.
Abstract In this paper, we have discussed the transmission and reflection properties of the infrared laser pulse propagated through one-dimensional photonic crystal (1DPC) with single layer of graphene nanotrusses. The single layer graphene system interacts with a probe laser field and two coupling lights. We analytically solve the optical susceptibility of the single layer graphene system for adapting the dielectric function of the 1DPC. After that we discuss the transmission and reflection properties of the incident laser pulse on 1DPC by controlling the intensity for the coupling lights and relative phase between applied lights. We have also found that the absorption and population spectrums of the medium can be controlled by the relative phase between applied lights. Our results show that the gain without population inversion can be obtained for the simultaneous slow light propagation in the transmission and reflection pulses. Our results may have potential application in the future of the all-optical devices in quantum technologies.