• 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)," Chin. Opt. Lett. 15, 030003 (2017) 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)," Chin. Opt. Lett. 15, 030003 (2017)
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