Skip to main content
SpringerLink
Log in

Exact analytical solution for the change of the photon statistics due tok-photon absorption

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

For unsaturatedk-photon absorption the exact solution of the master equation for the diagonal elements is presented. This solution is found by Laplace-transformation and recursion. It has the form of a double sum over the initial values. Commuting the order of summation we then show, that fork≧2 the photon distribution does not depend on the initial distribution if the initial mean photon number is sufficiently high and the square of the resulting photon number is small against the initial photon number.

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. Agarwal, G.S.: Phys. Rev. A1, 1445 (1970)

    Google Scholar 

  2. McNeil, K.J., Walls, D.F.: J. Phys. A: Math. Nucl. Gen.7, 617 (1974)

    Google Scholar 

  3. Tornau, N., Bach, A.: Opt. Commun.11, 46 (1974)

    Google Scholar 

  4. Simaan, H.D., Loudon, R.L.: J. Phys. A: Math. Gen.8, 539 (1975); J. Phys. A: Math. Gen.11, 435 (1978)

    Google Scholar 

  5. Bandilla, A., Ritze, H.-H.: Phys. Lett.55A, 258 (1975); Ann. Physik33, 207 (1976)

    Google Scholar 

  6. Paul, H., Mohr, U., Brunner, W.: Opt. Commun.17, 145 (1976)

    Google Scholar 

  7. Haken, H.: Lasertheory, Handbuch der Physik, S. Flügge (ed.). Vol. 25/2c. Berlin, Heidelberg, New York: Springer 1970

    Google Scholar 

  8. Schell, A., Barakat, R.: J. Phys. A: Math. Nucl. Gen.6, 826 (1973)

    Google Scholar 

  9. Bandilla, A.: Opt. Commun.23, 299 (1977)

    Google Scholar 

  10. Lambropoulos, P.: Phys. Rev.156, 286 (1967)

    Google Scholar 

  11. Erdélyi, A. (ed.). Tables of integral transforms. Vol. I, New York: McGraw-Hill Book Comp. 1954

    Google Scholar 

  12. Magnus, W., Oberhettinger, F., Soni, R.P.: Formulas and theorems for the special functions of mathematical physics. Berlin, Heidelberg, New York: Springer 1966

    Google Scholar 

  13. Abramowitz, M., Stegun, I.: Handbook of mathematical functions. New York: Dover Publications 1965

    Google Scholar 

Download references

Author information

Author notes

  1. H. Voigt

    Present address: Wissenschaftliches Informationszentrum, Akademie der Wissenschaften der DDR, Schiffbauerdamm 19, 104, Berlin, German Democratic Republic

Authors and Affiliations

  1. Zentralinstitut für Optik und Spektroskopie, Akademie der Wissenschaften der DDR, Rudower Chaussee 6, DDR-1199, Berlin-Adlershof, Democratic Republic of Germany

    H. Voigt, A. Bandilla & H. -H. Ritze

Authors
  1. H. Voigt
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. Bandilla
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. H. -H. Ritze
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Voigt, H., Bandilla, A. & Ritze, H.H. Exact analytical solution for the change of the photon statistics due tok-photon absorption. Z Physik B 36, 295–302 (1980). https://doi.org/10.1007/BF01325293

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01325293

Keywords

Search

Navigation