共查询到20条相似文献,搜索用时 171 毫秒
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本文根据光线在球面上的折射公式及光线微分方程,研究了光线经两端面为球面的锥形梯度折射率透镜的传播和变换,基于光线传递ABCD矩阵,提出了球面端面的锥形梯度折射率透镜的一种等效光学系统.文中给出了该透镜的主平面、焦平面和焦距计算公式,以及近轴成像高斯公式.当锥度为零时即得到球面端面的柱形或径向梯度折射率透镜的相应结果. 相似文献
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一阶光学系统分数傅里叶变换的相空间分析 总被引:1,自引:0,他引:1
在维格纳相空间中,通过将一阶光学系统的传输矩阵分解为坐标旋转、比例缩放和啁啾矩阵的组合,得到了一阶光学系统在空域的分数傅里叶表示.结果表明:任意一阶光学系统均可表示为经过比例缩放和二次相位调制的分数傅里叶变换.通过将输入输出光场在相空间中作π/2角旋转,得到了一阶光学系统在频域的传输矩阵和衍射积分公式,进而得到了一阶光学系统在频域的分数傅里叶表示.比较空域和频域一阶光学系统的相空间变换矩阵,说明2个系统本质上属同一变换在不同基坐标下的表示,并推导出了光学系统在空域和频域具有相同分数傅里叶变换的条件. 相似文献
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根据菲涅耳衍射公式,导出了含介质的单透镜与双透镜系统输出面的光场复振幅分布,并与分数傅里叶变换定义式比较,得到了实现分数傅里叶变换的系统结构参量.运用矩阵光学方法,导出上述系统的ABCD矩阵,并与分数傅里叶变换矩阵比较,研究发现两种方法所得结果一致. 相似文献
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《中国光学与应用光学文摘》2006,(1)
O4352006010016旋转椭球面折射成像的球差研究=Study of the sphericalaberration of refractedi mage onthe rotational ellipsoid[刊,中]/郑世旺(商丘师范学院物理与信息工程系.河南,商丘(476000))∥云南大学学报(自然科学版).—2005,27(6).—499-503研究单个折射面成像的球差是研究透镜及复杂光学仪器成像质量的基础。从折射定律出发,导出了旋转椭球面折射成像的精确球差公式,并由此比较了椭球面和球面及其透镜的成像质量。图3表2参12(杨妹清)TH7032006010017波前编码系统中相位掩模板的新设计=New design of cu-bic-phase-modulation … 相似文献
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R. Zwiggelaar M. G. F. Wilson 《International Journal of Infrared and Millimeter Waves》1993,14(8):1565-1574
In the past decade spectral changes depending on the spatial coherence of the source have been described by a cross-spectral density method. It is shown that for Gaussian-Schell model sources a quasi-optical approach is valid which uses Gaussian beams and ABCD matrices to describe the optical system. 相似文献
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We introduce the generalized Helmholtz-Gauss (gHzG) beam and analyze its propagation through optical systems described by ABCD matrices with real and complex elements. The transverse mathematical structure of the gHzG beam is form invariant under paraxial transformations and reduces to those of ordinary HzG and modified HzG beams as special cases. We derive a closed-form expression for the fractional Fourier transform of gHzG beams. 相似文献
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E. M. El Halba M. Boustimi L. Ez-zariy S. Hennani A. Belafhal 《Optical and Quantum Electronics》2017,49(8):269
Based on the Collins diffraction integral formula, this work focus to the study of the propagation properties of a Bessel-like beam through an ABCD optical system. As it is not easy to develop an analytical expression describing the transformation of the Bessel-like beams by an ABCD optical system, numerical integration method was indispensable to conduct this research. The characteristics of the transformation of Bessel-like beams by three optical systems: free space, Fourier transform, Fractional Fourier transform system and quadratic graded-index system are numerically examined and treated as examples of optical systems in this investigation. Some numerical results are carried-out to show how the superposition of multiple Airy beams propagates and transforms by an ABCD optical system. 相似文献
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将相位翻转高斯光束的概念推广到相位翻转高阶模光束.以相位翻转厄米-高斯光束为例,推导出相位翻转高斯光束通过近轴理想(无光阑)ABCD光学系统,以及带刀口和光阑的ABCD光学系统传输的递推方程,并用以研究相位翻转高斯光束的传输特性.特别是,得出对TEM1、TEM2和TEM3模相位翻转高斯光束,光阑效应可以忽略的条件分别是截断参量δ≥2.1,2.5和 3.0. 相似文献
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LI Jian-Long 《中国物理快报》2010,27(6):104-106
A class of new light beams of dark-hollow beams, named sinusoidal dark-hollow beams, is introduced. The propagation formula for a sinusoidal dark-hollow beam through a paraxial ABCD optical system is derived. The propagation properties of the sinusoidal dark-hollow beam are comparatively studied and illustrated with numerical examples. 相似文献
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A very general beam solution of the paraxial wave equation in circular cylindrical coordinates is presented. We call such a field a circular beam (CiB). The complex amplitude of the CiB is described by either the Whittaker functions or the confluent hypergeometric functions and is characterized by three parameters that are complex in the most general situation. The propagation through complex ABCD optical systems and the conditions for square integrability are studied in detail. Special cases of the CiB are the standard, elegant, and generalized Laguerre-Gauss beams; Bessel-Gauss beams; hypergeometric beams; hypergeometric-Gaussian beams; fractional-order elegant Laguerre-Gauss beams; quadratic Bessel-Gauss beams; and optical vortex beams. 相似文献
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Starting from the propagation equation of Hermite-cosh-Gaussian (HChG) beams and the intensity moments definition, an analytical expression for the propagation of the kurtosis parameter of unapertured HChG beams passing through paraxial optical ABCD systems is derived and illustrated numerically. Special interesting cases are discussed, in particular, the kurtosis parameter of HChG beams at the waist plane is obtained readily from our general propagation expression. 相似文献
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Transformation of Gaussian beams propagating through an axially asym-metric optical system is studied in detail by means of the complex curvature tensor andthe tensor ABCD law.Some important propagation characteristics of Gaussian beamswith simple or general astigmatism are demonstrated by typical numerical examples. 相似文献