Analytical Model of an Adaptive POE in the Form of a Thin Plate with Discrete Actuators

Abstract

This part will provide a model of an adaptive POE in the form of a thin plate with discrete piezoactuators. The model is based on the provisions of the thin plate theory. We found analytical expressions for the response function of the adaptive POE, the range of displacements of the substrate under the action of the actuator, the energy conversion efficiency of the control signal to the energy of elastic deformation of the substrate. The results obtained in the framework of the response function model are in good agreement with the experimental response function of a 19-element cooled POE with magnetostrictive actuators. Presented are the results of the numerical simulation of the actuator operation in the adaptive POE. Generation of aberration-free fluxes of coherent radiation is a challenge in power optics. One of the promising methods for solving the problem is the use of adaptive POEs consisting of a phase distortion corrector, a wavefront sensor and a control system. If the phase distortions, which must be compensated for, are smooth, the high quality correction can be obtained by using adaptive POEs with a continuously deformable surface. However, due to non-locality and non-orthogonality of the response function such a correction is associated with significant difficulties. Furthermore, there is no analytical model with a continuously deformable surface that would describe the work of the adaptive POE and predict its characteristics, such as the form of the response function and the range of displacements of the substrate under the action of actuators in the design of this or that POE.