• Chinese Optics Letters
  • Vol. 15, Issue 3, 030003 (2017)
Martin Neugebauer1、2, Andrea Aiello1、2, and Peter Banzer1、2、*
Author Affiliations
  • 1Max Planck Institute for the Science of Light, Staudtstr. 2, Erlangen D-91058, Germany
  • 2Institute of Optics, Information and Photonics, University Erlangen-Nuremberg, Staudtstr. 7/B2, Erlangen D-91058, Germany
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    DOI: 10.3788/COL201715.030003 Cite this Article Set citation alerts
    Martin Neugebauer, Andrea Aiello, Peter Banzer. Linear and angular momenta in tightly focused vortex segmented beams of light (Invited Paper)[J]. Chinese Optics Letters, 2017, 15(3): 030003 Copy Citation Text show less

    Abstract

    We investigate the linear momentum density of light, which can be decomposed into spin and orbital parts, in the complex three-dimensional field distributions of tightly focused vortex segmented beams. The chosen angular spectrum exhibits two spatially separated vortices of opposite charge and orthogonal circular polarization to generate phase vortices in a meridional plane of observation. In the vicinity of those vortices, regions of negative orbital linear momentum occur. Besides these phase vortices, the occurrence of transverse orbital angular momentum manifests in a vortex charge-dependent relative shift of the energy density and linear momentum density.
    p=ps+po.(1)

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    s=Im[ϵ0E*×E+μ0H*×H]/4ω,(2)

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    ps=×s/2,(3)

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    po=Im[ϵ0E*·()E+μ0H*·()H]/4ω.(4)

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    E(x,y)=exp[(a(xd)2+y2w0)2]exp(imφ+)e++exp[(a(x+d)2+y2w0)2]exp(imφ)e.(5)

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    w=wE+wH=ε0|E|2/4+μ0|H|2/4,(6)

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    Martin Neugebauer, Andrea Aiello, Peter Banzer. Linear and angular momenta in tightly focused vortex segmented beams of light (Invited Paper)[J]. Chinese Optics Letters, 2017, 15(3): 030003
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