Research On Precision Displacement Measurement Based On Self-conjugate Interference Of Vortex Beams

The science of precision measurement is one of the key scientific techniques that drive new scientific discoveries and improve the quality of human life.The continued exploration of precision measurement science has led to fresh discoveries of physical quantities and physical laws that are critical for the development of frontier sciences such as physics,earth sciences,and biomedical sciences.At the same time,precision measurement technology is facing major strategic needs and people’s quality of life demands in the country.At the national strategy level,precision measurements play an essential role in resource exploration,mapping and navigation,human health,and other vital links.In terms of production and life,precision measurement technology has boosted the development of various industries,improved production efficiency and quality,and improved the quality of people’s lives.We will advance bio-medicine and contribute to people’s lives and health.As a key factor in physical science,the accuracy and reliability of displacement measurements is crucial.At present,optical displacement measurement technology has developed into a number of directions,including laser triangulation,optical fiber displacement measurement,grating displacement measurement and laser interferometry,they can provide accurate displacement data,for human exploration in various fields to provide further information,so as to promote the progress of society and the development of science.Laser interferometric displacement measurements have made tremendous progress in recent years,with vortex beam interferometry being a notable breakthrough.Each photon in the beam carries a specific orbital angular momentum and has a unique helicity phase property.Due to its various properties,it also has new applications in the field of displacement measurement and has great potential.Due to the development of fabrication and testing techniques,the study of vortex beam in precision measurements is becoming increasingly important.In this paper,we theoretically investigate the relationship between vortex beam interference and displacement.Based on the self-conjugate interference of vortex beam,an exact displacement measurement scheme is proposed,which is optimized by a differential evolution algorithm.The main body of the paper is as follows.1.In this paper,we analyze the relation between the vortex beam and the displacement under various interference conditions and propose a new precision displacement measurement scheme based on the self-conjugate interference principle for vortex beams.In this paper,we present the specific principles and methods of precision displacement measurements,and construct an experimental system based on the modified structure of Mach-Zehnder by means of system simulation and experimental design.The effectiveness of the displacement measurement scheme was demonstrated in a multi-group measurement experiment using a piezoelectric ceramic nano-positioner to generate a quantitative displacement.2.During the displacement measurements,there may be some distortion in the interferogram due to the aberration of the optical system.The cause of the aberration may be due to surface shape errors of the optical elements in the interferometric module and system installation errors,which may lead to a reduction in precision or error in the measurement results.A global optimization algorithm based on a differential evolution algorithm is proposed to correct the distortion due to the propagation of vortex beam.The distortion of the vortex interferogram is resolved and the precision of the displacement measurement is improved.