Skip to main content
Log in

Density-matrix formalism for partially coherent optical fields propagating in slightly inhomogeneous media

  • Published:
Optical and Quantum Electronics Aims and scope Submit manuscript

Abstract

The integral of motion method and the density matrix formalism are used to describe the propagation of partially coherent radiation in slightly inhomogeneous media. Expressions for the parameters of partially coherent gaussian beams in media with general square-law refractive-index distributions are obtained using operator algebra. New equations for the correlation function are formulated and beam invariants are obtained.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. V. I. MAN'KO, ‘Quantum Electrodynamics with External Field’ (Tomsk University, Tomsk, 1978) p. 101.

    Google Scholar 

  2. S. G. KRIVOSHLYKOV and I. N. SISSAKIAN,Opt. Quantum Electron. 12 (1980) 463.

    Google Scholar 

  3. S. G. KRIVOSHLYKOV, N. I. PETROV and I. N. SISSAKIAN, ‘Group Theoretical Methods in Physics’; Proceedings of the International 1982 Seminar (Nauka, Moscow, 1983) p. 235.

    Google Scholar 

  4. Idem, Pis'ma Zh. Tech. Fiz. 9 (1983) 1489.

    Google Scholar 

  5. V. FANO,Rev. Mod. Phys. 29 (1957) 74.

    Google Scholar 

  6. D. Ter HAAR,Rep. Progr. Phys. 24 (1961) 304.

    Google Scholar 

  7. G. B. PARRENT and P. ROMAN,Nuovo Cimento 15 (1960) 370.

    Google Scholar 

  8. H. Gamo, ‘Progress in Optics’ edited by E. Wolf, Vol. III (1964) p. 187.

  9. K. BLUM, ‘Density Matrix Theory and Applications’ (Plenum, New York, 1981).

    Google Scholar 

  10. W. LOUISELL, ‘Radiation and Noise in Quantum Electronics’ (McGraw-Hill, New York, 1964).

    Google Scholar 

  11. J. R. KLAUDER and E. C. G. SUDARSHAN, ‘Fundamentals of Quantum Optics’ (Benjamin, New York, Amsterdam, 1968).

    Google Scholar 

  12. S. G. KRIVOSHLYKOV and I. N. SISSAKIAN,Pis'ma Zh. Tech. Fiz. 6 (1980) 257.

    Google Scholar 

  13. K. MAEDA and J. HAMASAKI,J. Opt. Soc. Am. 70 (1980) 381.

    Google Scholar 

  14. I. A. MALKIN and V. I. MAN'KO, ‘Dynamical Symmetry and Coherent States of Quantum Systems’ (Nauka, Moscow, 1979).

    Google Scholar 

  15. M. LAUE,Ann. Phys. 23 (1907) 1.

    Google Scholar 

  16. S. A. AKHMANOV, Y. E. DJAKOV and A. S. CHIRKIN, ‘Introduction to Statistical Radiophysics and Optics’ (Nauka, Moscow, 1981).

    Google Scholar 

  17. D. MARCUSE, ‘Light Transmission Optics’ (Van Nostrand Reinhold, New York, 1972).

    Google Scholar 

  18. M. A. LEONTOVICH and V. A. FOCK,Zh. Eksp. Teor. Fiz. 16 (1946) 557.

    Google Scholar 

  19. J. A. ARNAUD,Appl. Opt. 8 (1969) 1909.

    Google Scholar 

  20. D. I. BLOHINTZEV, ‘Fundamentals of Quantum Mechanics’ (Nauka, Moscow, 1976).

    Google Scholar 

  21. S. G. KRIVOSHLYKOV and I. N. SISSAKIAN,Kvant. Electron. 10 (1983) 735.

    Google Scholar 

  22. S. G. KRIVOSHLYKOV, N. I. PETROV and I. N. SISSAKIAN,Zh. Tech. Fiz. 55 (1985) 1763.

    Google Scholar 

  23. E. BIANCIARDI, V. PIZZOLI and C. G. SOMEDA,Electron. Lett. 13 (1977) 25.

    Google Scholar 

  24. E. L. O'NEILL, ‘Introduction to Statistical Optics’ (Addison-Wesley, London, 1963).

    Google Scholar 

  25. S. G. KRIVOSHLYKOV, N. I. PETROV and I. N. SISSAKIAN,Kvant. Electron. 12 (1985) 501.

    Google Scholar 

  26. S. G. Krivoshlykov, E. V. Kurmyshev and I. N. Sissakian, Preprint No. 116 (P.N. Lebedev Physical Institute of the USSR Academy of Sciences, 1983).

  27. S. G. Krivoshlykov, N. I. Petrov and I. N. Spissakian, Preprint No. 10 (General Physics Institute USSR Academy of Sciences, Moscow, 1985).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Krivoshlykov, S.G., Petrov, N.I. & Sissakian, I.N. Density-matrix formalism for partially coherent optical fields propagating in slightly inhomogeneous media. Opt Quant Electron 18, 253–264 (1986). https://doi.org/10.1007/BF02029870

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02029870

Keywords

Navigation