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Method for Constructing the Dynamic Frequency Characteristics of Laser Gyrometer with Alternating Frequency Meander Stand

Authors: Sudakov V.F. Published: 12.08.2016
Published in issue: #4(109)/2016  
DOI: 10.18698/0236-3933-2016-4-129-141

 
Category: Physics | Chapter: Optics  
Keywords: laser gyrometer, the phase equation, stand frequency, frequency response, stand type meander

Complex (combined) stands with alternating frequency are used in laser gyrometers (LH) to approximate the shape of their frequency characteristics (CH) to an ideal straight line. The known analytical methods for calculating of CH cannot be applied in these cases. It takes unacceptably long to use personal computers (PC). This article offers a method to calculate the dynamic frequency characteristics (VX) for alternating frequency stands. In particular, the increment of the beat signal phase during the period of the stand can be regarded as the rotation angle from the phase plane for the same time. Vector is the solution of an auxiliary linear vector differential equation. Thus, instead of solving nonlinear phase equation the article offers to solve a linear Hamiltonian system of differential equations of the second order. As a result, the most time-consuming part of the calculation is formulated in analytical form. The calculations of the recurrent type take little time and are executed in Mathcad 15. Meander type of stand has been studied repeatedly and its characteristics are well known. Therefore, it is a good option for a test of the proposed method. This article applies the method for the calculation of the dynamic frequency characteristics (VX) for alternating frequency meander stand.

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