Skip to main content
SpringerLink
Log in

Analysis of the Purcell effect in the waveguide mode by S-quantization

  • Physical Optics
  • Published:
Optics and Spectroscopy Aims and scope Submit manuscript

An Erratum to this article was published on 01 June 2019

This article has been updated

Abstract

A method for calculating the spontaneous-emission probability for arbitrary layered structures in the waveguide mode has been developed based on the scattering matrix formalism. The results of calculating the mode Purcell factor for the TE and TM modes of a planar waveguide are shown. Analytical estimates for the mode Purcell factor are obtained, and the conditions for achieving maximum amplification of spontaneous emission in a waveguide are determined.

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

Change history

  • 05 August 2019

    10.1134/S0030400X17050095

References

  1. R. Loudon, Quantum Theory of Light (Oxford Univ. Press, Oxford, 2000).

    MATH  Google Scholar 

  2. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge Univ. Press, Cambridge, 1995).

    Book  Google Scholar 

  3. E. M. Purcell, Phys. Rev. 69, 681 (1946).

    Article  Google Scholar 

  4. R. Coccioli, M. Boroditsky, K. W. Kim, Y. Rahmat-Samii, and E. Yablonovitch, IEE Proc.-J: Optoelectron. 145, 391 (1998).

    Google Scholar 

  5. E. A. Muljarov, W. Langbein, and R. Zimmermann, Europhys. Lett. 92, 50010 (2010).

    Article  ADS  Google Scholar 

  6. J. B. Khurgin, Nat. Nanotechnol. 10, 2 (2016).

    Article  ADS  Google Scholar 

  7. F. de Martini, M. Marrocco, P. Mataloni, L. Crescentini, and R. Loudon, Phys. Rev. A 43, 2480 (1991).

    Article  ADS  Google Scholar 

  8. M. S. Tomas and Z. Lenac, Phys. Rev. A 56, 4197 (1997).

    Article  ADS  Google Scholar 

  9. M. A. Kaliteevski, V. A. Mazlin, K. A. Ivanov, and A. R. Gubaydullin, Opt. Spectrosc. 119, 832 (2015).

    Article  ADS  Google Scholar 

  10. M. A. Kaliteevski, A. R. Gubaydullin, K. A. Ivanov, and V. A. Mazlin, Opt. Spectrosc. 121, 410 (2016).

    Article  ADS  Google Scholar 

  11. L. G. Suttorp, J. Phys. A: Math. Theor. 40, 3697 (2007).

    Article  ADS  MathSciNet  Google Scholar 

  12. T. G. Philbin, New J. Phys. 12, 123008 (2010).

    Article  ADS  Google Scholar 

  13. M. B. Doost, W. Langbein, and E. A. Muljarov, Phys. Rev. A 85, 23835 (2012).

    Article  ADS  Google Scholar 

  14. M. A. Kaliteevskii, V. V. Nikolaev, R. A. Abram, and S. Brand, Opt. Spectrosc. 91, 109 (2001).

    Article  ADS  Google Scholar 

  15. H. C. Casey and M. B. Panish, Heterostructure Lasers (Academic, New York, 1978), Vol. 1.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, 194021, Russia

    K. A. Ivanov, A. R. Gubaidullin, K. M. Morozov & M. A. Kaliteevskii

  2. ITMO University, St. Petersburg, 197101, Russia

    K. A. Ivanov, A. R. Gubaidullin & M. A. Kaliteevskii

  3. Ioffe Physical Technical Institute, Russian Academy of Sciences, St. Petersburg, 194021, Russia

    M. E. Sasin & M. A. Kaliteevskii

Authors
  1. K. A. Ivanov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. R. Gubaidullin
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. K. M. Morozov
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. M. E. Sasin
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. M. A. Kaliteevskii
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to K. A. Ivanov.

Additional information

Original Russian Text © K.A. Ivanov, A.R. Gubaidullin, K.M. Morozov, M.E. Sasin, M.A. Kaliteevskii, 2017, published in Optika i Spektroskopiya, 2017, Vol. 122, No. 5, pp. 864–872.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ivanov, K.A., Gubaidullin, A.R., Morozov, K.M. et al. Analysis of the Purcell effect in the waveguide mode by S-quantization. Opt. Spectrosc. 122, 835–842 (2017). https://doi.org/10.1134/S0030400X17050095

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0030400X17050095

Search

Navigation