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矢量非傍轴双曲余弦-高斯光束 总被引:3,自引:3,他引:0
引入了矢量非傍轴双曲余弦-高斯(ChG)光束概念。使用矢量瑞利-索末菲衍射积分公式推导出了矢量非傍轴ChG光束在自由空间传输的解析公式。矢量非傍轴ChG光束轴上和远场的解析式以及傍轴结果作为一般传输公式的特例给出。研究表明,对矢量非傍轴ChG光束,其非傍轴性主要由f参数决定,但偏心参数会影响其横向光强剖面形状和非傍轴行为。 相似文献
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部分相干双曲余弦-高斯光束的传输特性和空间整形 总被引:1,自引:0,他引:1
通过加入高斯项的空间相干度,引入部分相干双曲余弦-高斯(ChG)光束,推导出部分相干ChG光束通过近轴ABCD光学系统传输的解析表达式,并用以研究其传输特性和空间整形。结果表明,部分相干ChG光束的光强分布不能保持传输不变性,其光强分布不仅与传输距离和离心参数有关,而且还与空间相干参数有关。在传输距离固定时,适当改变部分相干ChG 光束的离心参数和空间相干参数,可实现光束的空间整形。光束质量因子随空间相干性的增大和离心参数的减小而减小。高斯-谢尔模型光束和完全相干ChG光束可作为部分相干ChG光束的特例处理。 相似文献
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基于矢量瑞利-索末菲衍射积分公式,得出了波动方程的一个解,它代表矢量非傍轴离轴高斯光束,其在自由空间的传输方程表示为解析的结果.矢量非傍轴离轴高斯光束的轴上和远场公式,矢量非傍轴高斯光束的传输方程,以及傍轴的结果都可作为一般表达式的特例而得出.研究表明,f参数对光束的非傍轴特性有重要影响,而离心参数也影响非傍轴行为.与共轴情况不同的是,对离轴情况,在y方向存在场的纵向分量.
关键词:
激光光学
矢量非傍轴离轴高斯光束
瑞利-索末菲衍射积分
f参数
离轴参数 相似文献
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利用矢量瑞利衍射积分公式,推导出非傍轴矢量高斯光束圆屏衍射的解析表示式.非傍轴矢量高斯光束圆屏衍射的轴上场分布、远场表示式、自由空间中的传输公式,以及傍轴近似下高斯光束圆屏衍射的菲涅耳和夫琅禾费衍射公式可以作为一般公式的特例统一处理.数 值计算和比较实例说明了非傍轴矢量高斯光束的光强分布和远场特性.分析表明,在圆屏衍 射中,f参数和截断参数决定光束的非傍轴行为.
关键词:
传输光学
非傍轴矢量高斯光束
圆屏衍射
矢量瑞利衍射积分公式 相似文献
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根据广义惠更斯-菲涅尔衍射积分方法,推导出按矩形方式排布的部分相干高斯-谢尔模型阵列光束的光谱传输公式,定量分析了部分相干高斯-谢尔模型阵列光束在自由空间传输时轴上和离轴相对谱移的变化,并详细讨论了阵列参数和子光束的空间相干参数对相对谱移的影响。结果表明,部分相干高斯-谢尔模型阵列光束通过自由空间传输后,其相对谱移与光源处的谱密度、子光束的空间相干参数以及子光束数目和子光束间距等阵列参数有关,其中,阵列参数对相对谱移的影响非常显著。 相似文献
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Haixia Wang Chaoliang Ding Zhiguo Zhao Yongtao Zhang Liuzhan Pan 《Optics & Laser Technology》2012,44(6):1800-1807
Based on the generalized Rayleigh–Sommerfeld diffraction integral, the analytical expression for 3×3 cross-spectral density matrix of nonparaxial spatially and spectrally partially coherent electromagnetic Cosh-Gaussian (ChG) pulsed beams propagating in free space is derived, and used to formulate the spectral density and spectral degree of polarization of electromagnetic pulsed beams at the z-plane. It is found that the parameters f and fαα are the key parameters in determining the nonparaxiality of spatially and spectrally partially coherent electromagnetic ChG pulsed beams. And the decentered parameter, pulse duration and temporal coherence length can change the nonparaxial behavior of the electromagnetic ChG pulsed beams. The effect of decentered parameter, pulse duration and temporal coherence length on the spectral density and spectral degree of polarization of electromagnetic ChG pulsed beams is illustrated through numerical calculations. Propagation of nonparaxial spatially and spectrally partially coherent electromagnetic Gaussian Schell-model pulsed beams can be treated as a special case when the decentered parameter of electromagnetic ChG pulsed beams approaches to zero. 相似文献
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C. L. Ding L. Z. Pan B. Lü 《The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics》2010,59(2):329-336
Taking the stochastic electromagnetic J
0-correlated Schell-model pulsed
(JSMP) beam as a typical example of stochastic spatially and spectrally
partially coherent electromagnetic pulsed beams, the analytical expressions
for the cross-spectral density matrix, spectral density, spectral degree of
polarization and spectral degree of coherence of stochastic electromagnetic
JSMP beams propagating in free space are derived, and used to study the
changes in the spectrum, polarization, and coherence of stochastic spatially
and spectrally partially coherent electromagnetic JSMP beams. It is shown
that the on-axis spectrum is blue-shifted in free-space propagation and is
dependent on the pulse temporal coherence length and spatial correlation
parameter. The distribution of the on-axis spectral degree of polarization
depends on the frequency and spatial correlation parameter. The spectral
degree of coherence increases with increasing pulse temporal coherence
length. The results derived are interpreted physically. 相似文献
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By using the generalized vectorial Rayleigh-Sommerfeld diffraction integral, the analytical expression for the spectral degree of polarization (SDP) of stochastic spatially and spectrally partially coherent electromagnetic pulsed beams (SSSPCEPB) is derived, and used to study the changes in the SDP of SSSPCEPB in the nonparaxial regime. Similar to that of continuous beams, the f parameter and fαα parameter of pulsed beams also play an important role in determining the nonparaxiality of SSSPCEPB. However, the pulse duration and temporal coherence length of the pulse can change the nonparaxiality of SSSPCEPB. The dependence of SDP on the f parameter, pulse duration and temporal coherence length is emphasized and illustrated numerically. 相似文献
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Dongbing Liu 《Optics Communications》2010,283(3):379-385
The analytical expression for the spectrum of spatially and spectrally partially coherent cosh-Gaussian pulsed (ChGP) beams focused by an aperture lens is derived and used to study their spectral properties at the focal plane and on the axis. The effect of the truncation parameter, spatial correlation parameter, decentered parameter and temporal coherence length on the spectral shifts and spectral switches of spatially and spectrally partially coherent ChGP beams is stressed. The results are illustrated numerically and interpreted physically. 相似文献
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The concept of partially coherent vectorial nonparaxial cosh-Gaussian (ChG) beams is introduced, and their analytical propagation expressions for the cross-spectral density matrix in free space are derived by using the generalized vectorial Rayleigh diffraction integrals. Some interesting cases, in particular, the vectorial nonparaxial Gaussian-Schell-model (GSM) beams are discussed and treated as special cases of our general expressions. It is shown that the f and fσ parameters play a crucial role in determining the vectorial property and nonparaxiality of partially coherent ChG beams, but the decentered parameter additionally affects their behavior. 相似文献
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The analytical expressions for the spectral degree of coherence and spectral intensity of spatially and spectrally partially coherent cosh-Gaussian pulsed (ChGP) beams propagating in free space are derived. It is shown that the spectral degree of coherence and spectral intensity of spatially and spectrally partially coherent ChGP beams depend on the spatial correlation parameter, decentered parameter and temporal coherence length. Depending on the decentered parameter, the effective width of the spectral degree of coherence can be larger than, smaller than or equal to that of the spectral intensity. The results are illustrated by numerical examples. 相似文献
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Can two partially coherent cosh-Gaussian beams generate far fields with the same spectral degree of coherence? 下载免费PDF全文
Taking partially coherent cosh--Gaussian (ChG) beams as an example
of more general partially coherent beams, we have studied the
spectral degree of coherence of partially coherent ChG beams in the
far field. It is shown that, unlike Gaussian Schell-model (GSM)
beams, in the strict sense there do not exist two partially coherent
ChG beams which can generate far fields with the same spectral
degree of coherence. However, under certain conditions it is
possible to find two partially coherent ChG beams with the same
spectral degree of coherence in the far field. 相似文献