Skip to main content
SpringerLink
Log in

Calculation of average intensity via semi-analytic method

  • Published:
Applied Physics B Aims and scope Submit manuscript

Abstract

We present a semi-analytic approach to the solution of the quadruple Huygens-Fresnel integral which is used to calculate the average receiver intensity of a source beam after it has propagated in a turbulent atmosphere. Our approach is based on a self-designed MATLAB function that reduces a quadruple integral to a single one by sequential operations using a form that is readily available from tables. In this manner exact numerical evaluations are obtained, whilst lengthy hand derivations are avoided. Additionally, the computation time of the new approach is not much different from that of the complete analytic solution. Two application examples are cited, also establishing agreement with our previously published results.

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. L.C. Andrews, R.L. Phillips, Laser Beam Propagation Through Random Media (SPIE, Bellingham, 2005)

    Book  Google Scholar 

  2. H.T. Eyyuboğlu, Opt. Commun. 245, 37 (2005)

    Article  ADS  Google Scholar 

  3. H.T. Eyyuboğlu, Y. Baykal, J. Opt. Soc. Am. A 22, 2709 (2005)

    Article  ADS  Google Scholar 

  4. Y. Cai, Q. Lin, H.T. Eyyuboğlu, Y. Baykal, Opt. Express 16, 7665 (2008)

    Article  ADS  Google Scholar 

  5. G. Zhou, X. Chu, Opt. Express 17, 10529 (2009)

    Article  ADS  Google Scholar 

  6. H.T. Eyyuboğlu, Appl. Phys. B 88, 259 (2007)

    Article  ADS  Google Scholar 

  7. H.T. Eyyuboğlu, F. Hardalaç, Opt. Laser Technol. 40, 343 (2008)

    Article  ADS  Google Scholar 

  8. H.T. Eyyuboğlu, Appl. Phys. B 91, 611 (2008)

    Article  ADS  Google Scholar 

  9. T. Wang, J. Pu, Z. Chen, Opt. Commun. 282, 1255 (2009)

    Article  ADS  Google Scholar 

  10. B. Chen, Z. Chen, J. Pu, Opt. Laser Technol. 40, 820 (2008)

    Article  ADS  Google Scholar 

  11. H.T. Eyyuboğlu, S. Altay, Y. Baykal, Opt. Commun. 264, 25 (2006)

    Article  ADS  Google Scholar 

  12. Ç. Arpali, C. Yazıcıoğlu, H.T. Eyyuboğlu, S.A. Arpali, Y. Baykal, Opt. Express 14, 8918 (2006)

    Article  ADS  Google Scholar 

  13. H.T. Eyyuboğlu, Y. Baykal, Opt. Commun. 278, 17 (2007)

    Article  ADS  Google Scholar 

  14. K. Duan, B. Lü, Opt. Commun. 250, 1 (2005)

    Article  ADS  Google Scholar 

  15. I.S. Gradshteyn, I.M. Ryzhik, Tables of Integrals, Series and Products (Academic Press, San Diego, 2000)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Electronic and Communication Engineering, Çankaya University, Öğretmenler Cad. No. 14 Yüzüncüyıl, 06530, Balgat, Ankara, Turkey

    H. T. Eyyuboğlu

  2. Department of Mathematics and Computer Science, Çankaya University, Öğretmenler Cad. No. 14 Yüzüncüyıl, 06530, Balgat, Ankara, Turkey

    E. Sermutlu

Authors
  1. H. T. Eyyuboğlu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. E. Sermutlu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to H. T. Eyyuboğlu.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Eyyuboğlu, H.T., Sermutlu, E. Calculation of average intensity via semi-analytic method. Appl. Phys. B 98, 865–870 (2010). https://doi.org/10.1007/s00340-009-3781-8

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00340-009-3781-8

PACS

Search

Navigation