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Journal of the Optical Society of America A

All-optical phase estimation system for high resolution adaptive phase compensation (A)

Arthur D. Fisher, Cardinal Warde

Published Aug 1, 1978• 0 citations
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The real-time estimation of a time-varying phase is of great importance in several fields. In order to estimate a time-varying phase with high precision and sensitivity, we propose and experimentally demonstrate an adaptive phase estimation method via weak value amplification by splitting the light into sensing path and monitoring path. In the proposed method, the phase shift can be amplified, an adjustable sensitivity and linear dynamic range can be obtained through the insertion of the reference phase, and a full-range phase estimation could be realized via an appropriate adjustment strategy. Furthermore, detectors with a higher resolution could be selected to detect weak signal by the adjustment of attenuation. Potentially, the phase estimation precision of about 10−8 rad could be achieved with the available equipment.
An analysis is made of the efficiency of compensation of distortions of the angular distribution by a phase-conjugate adaptive system of the heterodyne type. Numerical estimates are given of the time and energy characteristics of adaptive systems obtained for different values of the signal/noise ratio in the measuring scheme. It is shown that when the signal/noise ratio in a homogeneous system is of the order of unity, the use of adaptive correction is not very effective. Analytic and numerical results obtained in the present study make it possible to estimate approximately the potential characteristics of phase-conjugate adaptive systems.