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Focal patterns of higher order hyperbolic-cosine-Gaussian beam with one optical vortex

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Abstract

Intensity distribution in focal region plays an important role in many optical systems. In this paper, the focal patterns of higher order hyperbolic-cosine-Gaussian (HOCG) beam in focal plane were investigated. The HOCG beam contains one spiral optical vortex on its optical axis. Results show that the focal pattern can be altered considerably by beam order of the incident HOCG beam, and some novel focal patterns may occur, including foursquare focal pattern, cross-shaped dark focal focus, foursquare intensity peaks chain, and multiple intensity peaks array. Focal pattern evolution principle on increasing beam order also differs remarkably under condition of different topological charge of the optical vortex and displacement parameter associated with the cosh parts. And like topological charge and displacement parameter, the beam order and numerical aperture may affect focal pattern.

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Authors and Affiliations

  1. Electronics and Information College, Hangzhou Dianzi University, Hangzhou, 310018, China

    Xiumin Gao

  2. Shanghai Key Laboratory of Modern Optics System, University of Shanghai for Science and Technology, Shanghai, 200093, China

    Xiumin Gao, Qi Wang, Hanming Guo & Songlin Zhuang

  3. China Standard Software Co., Ltd, Shanghai, 200030, People’s Republic of China

    Qiufang Zhan

  4. College of Physics Science, Qingdao University, Qingdao, 266071, China

    Maojin Yun

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  1. Xiumin Gao
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  2. Qi Wang
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  3. Qiufang Zhan
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  4. Maojin Yun
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  5. Hanming Guo
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Correspondence to Xiumin Gao.

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Gao, X., Wang, Q., Zhan, Q. et al. Focal patterns of higher order hyperbolic-cosine-Gaussian beam with one optical vortex. Opt Quant Electron 42, 367–380 (2011). https://doi.org/10.1007/s11082-011-9468-5

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  • DOI: https://doi.org/10.1007/s11082-011-9468-5

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