球差使平顶光束通过透镜后的光束质量因子增大；
The spherical aberration results in an increase of the beam quality factor of flat-topped beams.
第五章主要利用张量方法分析了部分相干平顶光束的一些传输特性。
In chapter 5, the propagation properties of partially coherent flat-topped beam are analyzed by tensor method.
最近，一种由高斯-谢尔模光束叠加而成的部分相干平顶光束引起了人们的兴趣。
Recently, a new kind of partially coherent flat-topped beam, which may be treated as the superposition of several different GSM beams, was introduced.
光束阶数越大、相干长度越小，部分相干平顶光束序列的相对束腰宽度扩散较快；
The influence of atmospheric turbulence on the relative beam width spreading is larger for PCFT beam array with larger beam order and smaller coherence length.
对随机微扰型位相片，输出模式是部分相干的，在合适参数下，也可得到平顶光束。
For resonators with random disturbed phase mirror, its modes are partially coherent, and there also exists a suitable parameter to get flat top beam.
结果表明，使用分数傅立叶变换，我们可以方便地控制部分相干平顶光束的光强分布。
The results show that we can conveniently control the intensity distribution of the partially coherent flat-topped beam by use of the fractional Fourier transform optical system.
相干长度越小、光束阶数越大，部分相干平顶光束序列的斯特列尔比受湍流影响越小。
The strehl ratio of PCFT beam array with small coherence length and bigger beam order are less affected by turbulence.
提出了用平顶多高斯光束作为理想光束和使用离焦望远镜系统合成轴上平顶光束的一种新方法。
A new synthesis method for synthesizing on-axis flat-topped beams by using a defocusing telescope system;
通过控制各相关参数的取值，在聚焦场中获得了有广泛实际应用的具有涡旋性质的局域空心光束和平顶光束。
By adjusting the values of corresponding parameters, the bottle beams and the flat-topped beams which possess the characteristics of vortex are obtained and will have many significant applications.
在将高斯光束整形为平顶光束的整形系统中，由两个非球面镜组成的系统是比较简单的结构形式，该系统由平凹镜和平凸镜组成。
Among the reshaping systems converting a Gaussian beam to a flattop beam, the system composed of a plane-concave and a plane-convex lens, is a relatively simple structure.
对完全相干和非相干平顶高斯光束的传输特性作了详细研究。
The propagation properties of coherent and incoherent flattened Gaussian beams have been studied in detail.
对给定调制参数的余弦-高斯光束，通过适当选取分数傅里叶变化阶数可以获得平顶的光强分布。
A flat-topped beam can be achieved by a suitable choice of the transform order for the Cosine-Gaussian beams with the modulation parameter.
对平顶高斯光束有关的一些重要概念，例如场分布和束宽等作了物理分析。
Some important concepts relating to the flattened Gaussian beams (FGBs), such as the field distribution and beam width, are analyzed physically.
本文用数值模拟的方法研究了湍流对通过其后的部分相干平顶高斯光束的影响。
The influence of atmospheric turbulence on partially coherent flat-topped Gaussian beam is studied numerically in this paper.
利用惠更斯-菲涅尔衍射积分公式导出了部分相干平顶高斯光束（PCFGB）通过ABCD光学系统的传输公式。
The propagation formula of the cross-spectral density of partially coherent flattened Gaussian Beam(PCFGB) through ABCD optical system was derived using Huygens-Fresnel diffraction integral formula.
利用部分相干光理论，推导出柱坐标系下平顶高斯光束模相关系数的解析表达式。
By using the theory of partially coherent light, the analytical expression for the mode coherence coefficients of flattened Gaussian beams has been derived in the cylindrical coordinate system.
利用计算全息方法和空间光调制器产生了环形平顶涡旋光束。
We experimentally produce this beam with a computer-generated hologram (CGH) displayed on a spatial light modulator (SLM).
理论分析了高斯光束整形原理，并选择超洛伦兹函数作为平顶光分布函数；
The principle of shaping Gaussian beam was studied theoretically and the Flattened Lorentzian(FL) function was chosen as the distribution expression of the flattened beam.
基于多高斯函数叠加方法，提出了环形平顶涡旋光束模型。
A model of an annular flat-topped vortex beam based on multi-Gaussian superimposition is proposed.
模拟结果表明，利用三环相位光瞳滤波器，不仅可以在焦面上实现光强的平顶分布，而且还可以得到单环衍射光束。
The results indicate that flat-top beam shaping and single-circle beam shaping at the focal plane can all be realized by using three-zone annular phase pupil filters.
模拟结果表明，利用三环相位光瞳滤波器，不仅可以在焦面上实现光强的平顶分布，而且还可以得到单环衍射光束。
The results indicate that flat-top beam shaping and single-circle beam shaping at the focal plane can all be realized by using three-zone annular phase pupil filters.
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