物理学报2017，Vol.66Issue(8)：96-106,11.DOI:10.7498/aps.66.084202
偏振双向衰减对光学成像系统像质影响的矢量平面波谱理论分析
Analysis of the influence of diattenuation on optical imaging system by using the theory of vector plane wave sp ectrum
摘要
Abstract
In most of the researches of polarization aberration, the influence of diattenuation is not large enough to affect imaging quality evidently. However, the modulation transfer function decreases when optical elements with complex planar dielectric structures and low transmittance, such as beam-splitter and optical modulator, are introduced into an imaging system. In this paper, a vector optical model in Descartes coordinate system is proposed based on the concept of vector plane wave spectrum (VPWS). The results of calculation show that the VPWS model is consistent with Debye model. Compared with Debye vector diffraction integral, the VPWS method is more suitable to the description of the PA introduced by planar optical device with opaque mask, such as larger surface quantum-confined-stark-effect electro-absorption modulator, which is used to modulate the light collected by optical antenna of time-of-flight (TOF) depth system or modulating-retroreflector free-space-optical communication system. In order to simplify the calculation and obtain the conclusion of the change in imaging quality directly, the formula of optical transfer function is decomposed into three parts (TE component, TM component and the correlation of them) instead of polynomial expansion of pupil function. The influences of diattenuation on MTF is studied globally and locally in a range of cut-off frequency of optical imaging system (2N A/λ). Allowance of diattenuation is analysed by numerical calculation, and a mathematical expression is derived. The result shows that the change of diattenuation can be neglected when the spatial frequency v is less than 0.2N A/λ, and the range of allowance decreases with the increase of spatial frequency. According to numerical calculation shown in Fig. 7 and the derived formulas (15) and (16), the ratios of reflection/transmission coefficient of s-light and p-light √Dα should range respectively from 0.63 to 1.6(0.2N A/λ < v < 0.8N A/λ) and from 0.9 to 1.11(v >0.8N A/λ) when the MTF is required to be not less than 90% of the value in ideal diffraction-limited system. The range of allowance becomes larger gradually with the increase of angleθn between the normal of optical interface n and the optical axis of imaging system z?. If a polarization beam splitter is considered,√Dα→∞,θn/sin?1 N A should be greater than 1–3.关键词
矢量光学/偏振像差/调制传递函数Key words
vector optics/polarization aberration/modulation transfer function引用本文复制引用
张敏睿,贺正权,汪韬,田进寿..偏振双向衰减对光学成像系统像质影响的矢量平面波谱理论分析[J].物理学报,2017,66(8):96-106,11.基金项目
国家自然科学基金(批准号:11274377)和财政部重大科研装备仪器项目(批准号:ZDY2011-2)资助的课题.Project supported by the National Natural Science Foundation of China (Grant No.11274377) and the State Major Research Equipment Project,China (Grant No.ZDY2011-2). （批准号:11274377）
