相干光成像理论及振铃振荡的计算研究  

Calculation of Coherent Optical Imaging Theory and Ringing Oscillation

作　　者：李俊昌[1] 宋庆和[1,2] 桂进斌 夏海廷[1,2] Li Junchang;Song Qinghe;Gui Jinbin;Xia Haiting(Department of Physics,Faculty of Science,Kunming University of Science and Technology,Kunming 650500,Yunnan,China;Yunnan Key Laboratory for Disaster Reduction in Civil Engineering,Kunming 650500,Yunnan,China)

机构地区：[1]昆明理工大学理学院物理系,云南昆明650500 [2]云南省土木工程防灾重点实验室,云南昆明650500

出　　处：《光学学报》2024年第4期99-107,共9页Acta Optica Sinica

基　　金：国家自然科学基金(62165007,62065010,11862008)。

摘　　要：通过光波场空间追迹导出相干光成像计算公式,基于所导出的公式对经典的相干光成像理论进行简要讨论。为证明所导出公式的准确性,设计了矩形透光孔为物的成像实验,利用经典的相干光成像理论与所导出的公式同时对实验测量像强度进行了模拟计算。结果表明,所导出的公式能够准确地计算矩形孔像光场强度图像及像边沿的振铃振荡分布。Objective In modern optical research,the electromagnetic theory of light propagation,interference,and diffraction was systematically described in M.Born and E.Wolf's Principles of Optics and Joseph W.Goodman's Introduction to Fourier Optics.The coherent optical imaging theories in the two classic works are widely cited by contemporary scientists and technological workers.However,both theories are obtained in approximate conditions.The calculation formulas given in Principles of Optics are derived based on assuming the existence of an"isoplanatic region"in the image plane.The derived formula introduces a pupil function that is only related to the optical system aberration and the exit pupil does not provide a specific expression for the pupil function,which cannot be employed for practical calculations.The calculation formula given in Introduction to Fourier Optics can only calculate the amplitude distribution of the image field when the object size is less than 1/4 of the diameter of the incident pupil.From a mathematical perspective,the formulas derived from the two optical masterpieces have the same form,and coherent optical imaging systems are both linear space-invariant systems.The physical meaning of the transfer function defined by the outgoing pupil is a filter for the ideal image spectrum.With the advancing technology,the above approximate theories are gradually unable to meet practical needs.For example,experimental observations indicate that the imaging quality varies in different regions of the image plane,and the imaging system illuminated by coherent light is not a linear space-invariant system.Additionally,in modern optical detection research,the amplitude and phase of the image field are equally important physical quantities,and the theory that can only calculate the amplitude distribution of the image field cannot meet the requirements.Therefore,it is necessary to study theories that can accurately calculate the amplitude and phase distribution of image light fields.Methods Based on Fresnel diffra

关 键 词：衍射 相干光成像 振铃振荡 

分 类 号：O438.2[机械工程—光学工程]