• Chinese Optics Letters
  • Vol. 15, Issue 3, 030011 (2017)
Yuanhui Wen1, Yujie Chen1、*, Yanfeng Zhang1, and Siyuan Yu1、2
Author Affiliations
  • 1State Key Laboratory of Optoelectronic Materials and Technologies, School of Electronics and Information Technology, Sun Yat-sen University, Guangzhou 510275, China
  • 2Photonics Group, Merchant Venturers School of Engineering, University of Bristol, Bristol BS8 1UB, UK
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    DOI: 10.3788/COL201715.030011 Cite this Article Set citation alerts
    Yuanhui Wen, Yujie Chen, Yanfeng Zhang, Siyuan Yu. Highly adjustable helical beam: design and propagation characteristics (Invited Paper)[J]. Chinese Optics Letters, 2017, 15(3): 030011 Copy Citation Text show less

    Abstract

    Light fields with extraordinary propagation behaviors, such as nondiffracting and self-bending, are useful in the optical delivery of energy, information, and even objects. A kind of helical beam is constructed here based on the caustic method. With the appropriate design, the main lobe of these helical beams can be both well-confined and almost nondiffracting, while moving along a helix with its radius, period, number of rotations, and main lobes highly adjustable. In addition, the peak intensity of the main lobe fluctuates below 15% during propagation. These promising characteristics may enable a variety of potential applications based on these beams.
    E(X,Y,Z)=r(kx,ky)eiφ(kx,ky)ei(kxX+kyY+kzZ)dkxdky,(1)

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    X=usint,Y=ucost,Z=at,(2)

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    Xu·sin(t)u·cos(t)=Y+u·cos(t)u·sin(t)=Za·ta,(3)

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    x=u·[sin(t)t·cos(t)],y=u·[cos(t)+t·sin(t)],(4)

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    kxk=XZ=u·cos(t)a,kyk=YZ=u·sin(t)a,(5)

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    kr=kx2+ky2=u·ka,kθ=arctan(kykx)=t.(6)

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    φkx=x=u·[sin(kθ)kθ·cos(kθ)],(7)

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    φky=y=u·kθ·[cos(kθ)+sin(kθ)],(8)

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    φkr=φkx·kxkr+φky·kykr=u·kθ,(9)

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    φkθ=φkx·kxkθ+φky·kykθ=u·kr,(10)

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    φ(kr,kθ)=u·kr·kθ.(11)

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    Ψ(r,θ)=l·θ·(Kr/r0).(12)

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    Yuanhui Wen, Yujie Chen, Yanfeng Zhang, Siyuan Yu. Highly adjustable helical beam: design and propagation characteristics (Invited Paper)[J]. Chinese Optics Letters, 2017, 15(3): 030011
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