Измерение характеристик лазерного гироскопа. Учебно-методическое пособие к лабораторной работе по дисциплине «Системы управления, ориентации и навигации» (магистерская программа «Системы управления и информации в инженерии»)
Instructions contain theoretical information necessary to perform laboratory work "Measurements of laser gyro parameters", a description of the procedures and requirements to the report. Intended for master students studying the discipline "Control, orientation and navigation systems" (in the direction of learning 231300.68 Applied mathematics - master's program in "Control and information systems engineering").
The paper is devoted to the investigation of the physical reasons of time and temperature drifts of Zeeman laser gyro with periodic realignment of the laser longitudinal generation mode with the light wave opposite circular polarization. It is designated that gyro drift can be divided into magnetic and non-magnetic components having different nature and provides significantly different contribution to the final error. The expression of total error depending on the gyro operation mode is presented. The reasons of magnetic and non-magnetic drifts are described and optimal algorithmic methods of their compensation are proposed both with initial calibration and without it. Experimental results for several Zeeman laser gyroscopes with drifts typical values are analyzed.
The dynamics of a two-component Davydov-Scott (DS) soliton with a small mismatch of the initial location or velocity of the high-frequency (HF) component was investigated within the framework of the Zakharov-type system of two coupled equations for the HF and low-frequency (LF) fields. In this system, the HF field is described by the linear Schrödinger equation with the potential generated by the LF component varying in time and space. The LF component in this system is described by the Korteweg-de Vries equation with a term of quadratic influence of the HF field on the LF field. The frequency of the DS soliton`s component oscillation was found analytically using the balance equation. The perturbed DS soliton was shown to be stable. The analytical results were confirmed by numerical simulations.
In 1964 first laser gyros with Zeeman magnetooptical biasing were developed in RDI "Polyus". During elapsed years these devices passed several stages of improvements, and laser inertial systems at their base were created and are being produced to be applied in systems for moving objects control.
This paper desribes the history of a laser gyro, which originated from one of the fundamental physics area - optics of moving media, and in particular the Sagnac effect. The development of the ring laser gyro construction concepts from its first samples of minimal configuration to multi-frequency Zeeman modifications with nonplanar resonators is observed.The general trends in the inertial sensors market are presented.
Virtual laboratory workshop for laser gyroscope studying is described. The computer measurements concepts are explained according to the new Russian standard. The virtual models application at workshop designing and in the educational process are considered.
The results of development the optimal software for Zeeman laser gyro perimeter control and output signal false component compensation basing on the real operation conditions and own laser specifications.
Generalized error-locating codes are discussed. An algorithm for calculation of the upper bound of the probability of erroneous decoding for known code parameters and the input error probability is given. Based on this algorithm, an algorithm for selection of the code parameters for a specified design and input and output error probabilities is constructed. The lower bound of the probability of erroneous decoding is given. Examples of the dependence of the probability of erroneous decoding on the input error probability are given and the behavior of the obtained curves is explained.