Study On A New Type Of Wave-Front Reconstruction Algorithm

The traditional imaging system can only perceive the intensity information of the optical filed at a specific position,which is a physical quantity with various properties such as amplitude,phase of wave-front,wavelength and so on.To proved the optical system imaging quality,it is necessary to obtain all the information of the optical field.In recent years,with the development of optical filed imaging technology,the optical filed camera came into being,which can simultaneously obtain the frequency and intensity of information.This feature provides us a new ideas of wave-front reconstruction.In this paper,the traditional signal analysis algorithm such as Wigner transform,ambiguity function,the fractional Fourier transform are introduced into the optical wave-front reconstruction algorithm.A new wave-front reconstruction algorithm is proposed to recover the wave-front aberration of input plane.The paper consist of three parts: the theoretical analysis,numerical simulation,experimental verification.Firstly,reviewing the development process of wave-front reconstruction algorithm,and summarizing the limitation of various methods.The process of optical field camera is introduced,and the four-dimensional optical filed information obtained from micro-lens is analyzed.Compared with the four-dimensional optical filed information and Wigner distribution of phase space optical,the traditional Hartmann wave-front sensor also can obtain the spatial and spatial frequency.Based on these characteristics,the theory and method of wave-front reconstruction using Wigner distribution is described.On the other hand,the relationship between the free space of light and fractional Fourier transform and wigner transform is analyzed.Introducing the relation the spatial frequency of the input plane and the phase of wave-front is obtained by using the correlation definition of the ambiguity function in phase space optical.Then,establishing the simulation model of the new wave-front reconstruction algorithm.The signal-order and multi-order modes of Zernike aberration are analyzed,which include the recovery effect.The simulation results show that the new algorithm can effectively recovery the phase of input plane.For the fixed phase plane,the new reconstruction algorithm based on Hartmann sensor is influence by the spatial resolution and the spatial frequency resolution,and the optimization value is exist for the highest accuracy.In the effectively dynamic range of the algorithm,the new algorithm can achieve reconstruction with less error.By analyzing the wave-front reconstruction algorithm based on the fractional Fourier transformation,it is found that this analysis algorithm can effectively recovered the input phase plane.In the allowable dynamicrange,that is,the aberration of the first 10 order PV is less than 9285.22?,the recovery error is small.Finally,we built an optical experiment platform for verify the new wave-front reconstruction algorithm based on Hartmann sensor.Under the conditions of the laboratory,the optical path of the system is designed and built.The experiment results show that this algorithm can effectively recover the wave-front of the input beam,and achieve desired effect,which verified the feasibility of the algorithm.The Wigner distribution and ambiguity function of the phase space optical can simultaneously represent the spatial and the spatial frequency distribution,which introduced into the wave-front reconstruction.Extending the wave-front detection technique,which can help to promote the development of wave-front reconstruction algorithm.