Skip to main content
SpringerLink
Log in

Orbital angular momentum of the laser beam and the second order intensity moments

  • Published:
Science in China Series A: Mathematics Aims and scope Submit manuscript

Abstract

From the wave equation of a generalized beam the orbital angular momentum is studied. It is shown that the orbital angular momentum exists not only in the Laguerre-Gaussian beam, but in any beam with an angular-dependent structure. By calculating the second order intensity moments of the beam the relation between the orbital angular momentum and the second order moments (x θy), (y θx) is given. As an example the orbital angular momentum of the general astigmatic Gaussian beam is studied.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Siegman, A. E., New developments in laser resonators, SPIE, 1990, 1224: 2.

    Article  Google Scholar 

  2. Nemes, G., Siegman, A. E., Measurement of all ten second-order moments of an astigmatic beam by use of rotating simple astigmatic optics, J. Opt. Soc. Am. A, 1994,11: 2257.

    Article  Google Scholar 

  3. Weber, H., Propagation of higher-order intensity moments in quadratic-index media, Opt. and Quan. Elec., 1992, 24:S1027.

    Article  Google Scholar 

  4. Allen, L., Beijersbergen, M. W., Spreeuv, R. J. C. et al., Orbital angular momentum of light and the transformation of Laguerre- Gaussian laser modes, Phys. Rev., 1992, A45: 8185.

    Google Scholar 

  5. Baennet, S. M., Allen, L., Orbital angular momentum and nonparaxial light beams, Opt. Comm., 1994, 110 670.

    Article  Google Scholar 

  6. Jackson, J. D., Classical Electrodynamics, New York: John Wiley & Sons, Inc., 1962.

    Google Scholar 

  7. Simpson, N. B., Dholakia, K., Allen, L. et al., Mechanical equivalence of spin and orbital angular momentum of light: an optical spanner, Opt. Lett., 1997, 22: 52.

    Article  Google Scholar 

  8. Eppich, B., Gao, C., Weber, H., Determination of the ten second order moments, Opt. & Laser Tech., 1998, 30: 337.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Optical Engineering Department, Beijing Institute of Technology, 100081, Beijing, China

    Chunqing Gao & Guanghui Wei

  2. Optical Institute, Technical University Berlin, Strasse des 17. Juni 135, D-10623, Berlin, Germany

    Horst Weber

Authors
  1. Chunqing Gao
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Guanghui Wei
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Horst Weber
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Chunqing Gao.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gao, C., Wei, G. & Weber, H. Orbital angular momentum of the laser beam and the second order intensity moments. Sci. China Ser. A-Math. 43, 1306–1311 (2000). https://doi.org/10.1007/BF02880068

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02880068

Keywords

Search

Navigation