Skip to main content
SpringerLink
Log in

On the generalized Twiss parameters and Courant-Snyder invariant in classical and quantum optics

  • Published:
Il Nuovo Cimento B (1971-1996)

Summary

In this paper we show how the mathematical tools of the charged-beam transport theory can be applied to classical and quantum optics problems. We discuss the theory of optical-beam transport in fibers, using Twiss parameters and Courant-Snyder invariants. The same quantities are then exploited to discuss the dynamical behaviour of quantum squeezed states. Finally we present generalized Twiss parameters and Courant-Snyder invariants for quadratic Hamiltonians withn degrees of freedom.

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. D. Dattoli, V. Loreto, C. Mari, M. Richetta andA. Torre:Nuovo Cimento B,106, 1357, 1375, 1391 (1991).

    Article  MathSciNet  ADS  Google Scholar 

  2. E. D. Courant andH. S. Snyder:Ann. Phys.,3, 1 (1958).

    Article  ADS  MATH  Google Scholar 

  3. G. Dattoli, G. P. Gallerano, C. Mari, A. Torre andM. Richetta:Twiss parameters and evolution of quantum harmonic oscillator states, to be published inNuovo Cimento B.

  4. D. F. Walls:Nature,306, 141 (1983).

    Article  ADS  Google Scholar 

  5. L. C. Teng:Frontiers or Particle Beams; Observation, Diagnosis and Correction, Proceedings Anacapri 1988 (Springer-Verlag, Berlin, 1989).

    Google Scholar 

  6. K. L. Brown andR. V. Servranckx:Nucl. Instrum. Methods A,258, 480 (1987).

    Article  ADS  Google Scholar 

  7. A. Yariv:Quantum Electronics, 2nd edition (J. Wiley, New York, N.Y., 1975).

    Google Scholar 

  8. G. Dattoli, S. Solimeno andA. Torre:Phys. Rev. A,35, 1668 (1987).

    Article  ADS  Google Scholar 

  9. G. Dattoli, M. Richetta, G. Schettini andA. Torre:J. Math. Phys.,31, 2856 (1990).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  10. J. Wei andE. Norman:J. Math. Phys.,4, 575 (1963).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  11. H. R. Lewis jr.:J. Math. Phys.,9, 1976 (1968);H. R. Lewis jr. andW. B. Riesenfeld:J. Math. Phys.,10, 1458 (1969).

    Article  ADS  MATH  Google Scholar 

  12. P. K. Aravind:J. Opt. Soc. Am. B,5, 1545 (1988).

    Article  ADS  Google Scholar 

  13. M. Weissbluth:Photon-Atom Interactions (Academic Press, 1989).

  14. G. Dattoli, C. Mari, C. Ronsivalle andA. Torre:Nuovo Cimento B,107, 179 (1992).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. ENEA-Dip. Sviluppo Tecnologie di Punta, Centro Ricerche Energia Frascati, C.P. 65, 00044, Frascati, Roma, Italia

    G. Dattoli, C. Mari, M. Richetta (ENEA guest) & A. Torre

Authors
  1. G. Dattoli
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. C. Mari
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. Richetta
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. A. Torre
    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

Dattoli, G., Mari, C., Richetta, M. et al. On the generalized Twiss parameters and Courant-Snyder invariant in classical and quantum optics. Nuov Cim B 107, 269–287 (1992). https://doi.org/10.1007/BF02728489

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02728489

Keywords

Search

Navigation