Circularly symmetric Hermite-Gaussian correlated Schell-model beam

IF 1.6 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
Mengyuan Guo, Kaixin Wu, Wenhui Yang, Yan Yang, Huilong Liu
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引用次数: 0

Abstract

We introduce a novel class of random stationary, scalar source for producing far field with ring-shaped intensity profile, named as circularly symmetric Hermite-Gaussian correlated Schell-model (CSHGCSM) source. The analytical expressions for the cross-spectral density (CSD) function of a CSHGCSM beam propagating in free space and in linear isotropic random media are derived, respectively. It is shown that the CSHGCSM beam exhibits a robust ring-shaped profile in far field, and three-dimensionally (3D) optical cage could be obtained when the CSHGCSM beam focused by a thin lens. The optical cage length is dependent on parameters of mode order n, transverse coherence width δ, focal length f, and beam wavelength λ. Furthermore, it is demonstrated that the CSHGCSM beam propagating in linear random media at small distance from the source exhibits annular profile, then converts into Gaussian beam as the propagation distance increases. There is a phenomenon of regenerative oscillation for the spectral degree of coherence (SDOC) of the CSHGCSM beam in the presence of random media.

Abstract Image

圆形对称赫米特-高斯相关谢尔模型光束
我们引入了一类新的随机静止标量源,用于产生具有环形强度曲线的远场,命名为圆对称赫米特-高斯相关谢尔模型(CSHGCSM)源。分别推导了在自由空间和线性各向同性随机介质中传播的 CSHGCSM 光束的交叉谱密度(CSD)函数的解析表达式。结果表明,CSHGCSM光束在远场表现出稳健的环形轮廓,当CSHGCSM光束被薄透镜聚焦时,可以得到三维(3D)光笼。光笼长度取决于模阶 n、横向相干宽度 δ、焦距 f 和光束波长 λ 等参数。此外,研究还证明,在线性随机介质中传播的 CSHGCSM 光束在距离光源较小的距离上呈现环形轮廓,然后随着传播距离的增加转变为高斯光束。在随机介质存在的情况下,CSHGCSM 光束的相干谱度(SDOC)存在再生振荡现象。
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来源期刊
Indian Journal of Physics
Indian Journal of Physics 物理-物理:综合
CiteScore
3.40
自引率
10.00%
发文量
275
审稿时长
3-8 weeks
期刊介绍: Indian Journal of Physics is a monthly research journal in English published by the Indian Association for the Cultivation of Sciences in collaboration with the Indian Physical Society. The journal publishes refereed papers covering current research in Physics in the following category: Astrophysics, Atmospheric and Space physics; Atomic & Molecular Physics; Biophysics; Condensed Matter & Materials Physics; General & Interdisciplinary Physics; Nonlinear dynamics & Complex Systems; Nuclear Physics; Optics and Spectroscopy; Particle Physics; Plasma Physics; Relativity & Cosmology; Statistical Physics.
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