共查询到20条相似文献,搜索用时 265 毫秒
1.
Wang Chun-Fang Tao Xiang-Yang Nie Yi-You Zeng zhao-Yang 《Optics & Laser Technology》2007,39(2):430-434
Based on the Collins formula, we study the focal switch of spherically aberrated Laguerre–Gaussian (L–G) beams passing through an optical system with the aperture and lens separated. Our results demonstrate that the behavior of the focal switch of spherically aberrated L–G beams is generally dependent on the spherical aberration coefficient, truncation parameter, Fresnel number and mode indices. The spherical aberration affects the relative focal shift, critical position of the focal switch and the relative transition. We also illustrate that there exists a minimum in addition to a maximum in the truncation parameter. Only inside the region between the minimum and the maximum the focal switch effect can be expected. The region depends on the spherical aberration coefficient as well as the Fresnel number. 相似文献
2.
部分相干光经柱面球差透镜聚焦所产生的焦移 总被引:7,自引:7,他引:0
利用Collins公式得出光强均匀部分相干光经柱面球差透镜聚焦后的轴上光强分布,并通过数值模拟的方法研究了入射光的菲涅耳数、相干度和透镜的球差对轴上点光强分布的影响.结果显示,当菲涅耳数较小、空间相干度较小的部分相干光经无球差透镜聚焦时,轴上点光强分布会产生焦移现象,而当部分相干光被球差透镜聚焦时,也会有焦移现象产生. 相似文献
3.
基于部分相干光的传输理论获得了部分相干涡旋光束被光阑透镜聚焦后的传输方程。基于这些方程研究了部分相干涡旋光束的焦移现象。研究结果表明,部分相干涡旋光束的焦移不仅依赖于菲涅耳数,而且依赖于光束的相干长度和涡旋光束的拓扑荷数。菲涅耳数越小,焦移量越大;部分相干涡旋光束的相干长度越小,焦移量越大;涡旋光束的拓扑荷数越大,焦移量越大。 相似文献
4.
柱面球差透镜聚焦部分相干光束的焦移 总被引:1,自引:1,他引:0
通过定义聚焦光束的等效菲涅耳数,研究了部分相干光经柱面球差透镜聚焦后的轴上光强分布,得到了相对焦移的简单公式,即相对焦移反比于等效菲涅耳数的平方.结果表明,这种基于等效菲涅耳数的计算聚焦光学系统的焦移方法是计算部分相干光束经球差透镜聚焦相对焦移简单且有效方法.还讨论了一种特殊等效菲涅耳数为纯虚数情况.结果证明,在这种情况下,该相对焦移简单公式仍然有效. 相似文献
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6.
Xiaoyun Liu 《Optik》2009,120(12):574-578
Based on the propagation law of partially coherent beams, the propagation equations of the partially coherent vortex beams focused by an aperture lens are derived. Based on these equations, the focal shift of partially coherent vortex beams is studied, and illustrative numerical results are given. It is found that the focal shift of the partially coherent vortex is dependent not only on the Fresnel number but also on the relative coherent length and the topological charge of the vortex. 相似文献
7.
Yongtao Zhang 《Optics & Laser Technology》2010,42(3):484-488
The phase singularities of plane beams focused by an aperture lens with astigmatism are studied. Numerical calculation results are given to illustrate the dependence of phase singularities of focused plane beams on the astigmatic coefficient and the Fresnel number. It is shown that as the Fresnel number gradually increases, the phase singularities shift not only towards the z-axis but also towards the geometrical focal plane in the presence of astigmatism, whereas the phase singularities move along the focal plane and always line in the focal plane for the astigmatism-free case. With increasing astigmatic coefficient, the phase singularities shift not only towards the z-axis but also far away from the geometrical focal plane. 相似文献
8.
We define the effective Fresnel number of a focused cylindrical spherical aberrated beam. Based on the effective Fresnel number, a simple analytical expression for evaluating the relative focal shift is presented. It is shown that the relative focal shift is determined by the effective Fresnel number, which is dependent on the spherical aberration and Fresnel number of the focused system. To illustrate the approach, a comparison between the results obtained by this new method and the numerical integral calculation is made. The results indicate that the relative focal shift can be simply and exactly evaluated using this new method. A special case is discussed, in which the effective Fresnel number turns out to be a pure imaginary number, and the corresponding relative focal shift is positive. 相似文献
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By introducing a hard aperture function into a finite sum of complex Gaussian functions, an approximate analytical expression predominating the distribution of axial intensity for the flat-topped Mathieu-Gauss (FTMG) beams passing through a system with the aperture and lens separated has been derived. The focal shift and the focal switch effect of FTMG beams passing through the system is studied in detail. Numerical calculations have shown that the position of real focal plane is not coincident with the geometrical focus but is somewhat shifted toward the lens. The focal shift and focal switch of FTMG beams take place when the relative separation s/f = 1 by a suitable choice of beam parameter and truncation parameter, for example, the beam parameter is smaller than its corresponding critical value or the truncation parameter is between its two corresponding critical values. 相似文献
11.
从理论上研究部分相干光被一环形透镜聚焦,在焦点附近的轴上点的光强分布。研究结果表明,当部分相干光被一环形透镜聚焦时,最大聚焦光强不在几何焦点,而是位于透镜与几何焦点之间,出现焦移现象。并且,焦移量不仅依赖于透镜外半径的菲涅耳数,还依赖于部分相干光的空间相干度和中心拦截比。透镜的菲涅耳数越小,焦移越大;部分相干光的空间相干度越低,焦移越大。当菲涅耳数一定时,环形透镜的中心拦截比越大,焦移越大;当空间相干度很小时,情况就变得比较复杂。 相似文献
12.
Zhangrong Mei 《Optics Communications》2011,284(22):5248-5252
The focal shifts of focused truncated random electromagnetic beams are investigated. Based on the complex Gaussian expansion method for a hard-edged aperture function, the analytical propagation formula of cross-spectral density matrix for a random electromagnetic beam focused by an optical system with a thin lens and a circular aperture is derived. The Fresnel numbers related with the beam and system parameters are defined and used to examine focal shifts. The dependence of the focal shifts on the different Fresnel numbers and polarization distribution are discussed in detail with numerical examples. 相似文献
13.
This paper studies the focusing properties of Gaussian Schell-model
(GSM) beams by an astigmatic aperture lens. It is shown that the
axial irradiance distribution, the maximum axial irradiance and its
position of focused GSM beams by an astigmatic aperture lens depend
upon the astigmatism of the lens, the coherence of partially
coherent light, the truncation parameter of the aperture and Fresnel
number. The numerical calculation results are given to illustrate
how these parameters affect the focusing property. 相似文献
14.
从部分相干光的传输理论出发,研究了高斯-谢尔模型光束通过光阑像散透镜聚焦的光谱异变和光谱开关。研究表明,在考虑像散的情况下,聚焦场轴上也会出现光谱异变和光谱开关。光谱异变和光谱开关不仅与空间相关性、截断参量、菲涅耳数和源光谱谱宽有关,透镜像散对光谱异变和光谱开关也会产生影响。通过数值计算结果,重点对透镜像散对光谱移动和光谱开关的影响进行了分析。与无像散情况相比,像散会使出现光谱开关的临界位置发生变化,当像散较大时出现光谱开关的临界位置明显向几何焦面移动,特别是当像散增加到一定数值时,光谱开关会消失。 相似文献
15.
Dependence of focal shift on Fresnel number and angular aperture 总被引:1,自引:0,他引:1
The effect of angular aperture on the focal shift in optical systems of finite Fresnel number is considered. It is shown that the focal shift for a given Fresnel number decreases with increasing angular aperture. 相似文献
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17.
Based on the beam coherent-polarization (BCP) matrix approach and propagation law of partially coherent beams, the focal shift and focal switch of partially polarized Gaussian Schell-model (PGSM) beams passing through a system with the aperture and spherically aberrated lens separated is studied in detail. Our main attention is focused on the effect of spherical aberration and partial coherence on the focal shift and focal switch of PGSM beams. It is shown that for polarizer-free case there is no focal switch of PGSM beams, the focal shift of PGSM beams is closely related with spherical aberration coefficient C4, auto-coherence length σa, truncation parameter δ and relative position s/f between the aperture and lens in general, and is independent of the cross-coherence length σc. After inserting a polarizer the focal switch can take place. Numerical calculation results are given to illustrate how the spherical aberration and partial coherence affect the focal shift and focal switch of PGSM beams. 相似文献
18.
Focal shift is inevitable in conventional lens systems due to the Fresnel number and angular aperture. In this Letter, we demonstrate that there is no focal shift when a paraxial Gaussian beam passes through a left-handed material slab lens without absorption or gain. However, the effect is exhibited in the presence of absorption or gain, and becomes larger as the absorption or gain increases. When the absorption is equal to the gain, the phenomenon of the focal shift caused by the gain is more obvious. In addition, the field distribution is not affected by the absorption or gain and always remains Gaussian both in internal and external focus planes. 相似文献
19.
We report the experimental observation of focal shifts in partially coherent beams of Gaussian Schell-model (GSM) type focused by a circularly apertured thin lens. The relative focal shift increases as the aperture radius or the state of coherence of the GSM source decrease. The experimental results agree well with theoretical predictions. 相似文献
20.
Lalithambigai K Suresh P Ravi V Prabakaran K Jaroszewicz Z Rajesh KB Anbarasan PM Pillai TV 《Optics letters》2012,37(6):999-1001
We investigate the focusing properties of a double-ring-shaped azimuthally polarized beam by a high numerical aperture (NA) lens axicon based on vector diffraction theory. We observe that our proposed system generates a sub wavelength focal hole of 0.5λ having large uniform focal depth of 48λ without any annular aperture. We also observed that the distribution of the total intensity near the focus has little variation with the degree of truncation β of the incident beam by the pupil. The authors expect such a super-long dark channel may find applications in optical, biological, and atmospheric sciences. 相似文献