OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 73, Iss. 12 — Dec. 1, 1983
  • pp: 1732–1738

Investigation of light amplification by enhanced internal reflection. Part I. Theoretical reflectance and transmittance of an exponentially nonuniform gain region

R. F. Cybulski, Jr. and M. P. Silverman  »View Author Affiliations


JOSA, Vol. 73, Issue 12, pp. 1732-1738 (1983)
http://dx.doi.org/10.1364/JOSA.73.001732


View Full Text Article

Acrobat PDF (825 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We investigate the reflection of plane waves of s and p polarization from the interface between a homogeneous transparent medium and an amplifying medium with a gain profile decreasing exponentially with depth of penetration. For angles of incidence less than critical angle, the reflectance curves are essentially the same as those deduced from the usual Fresnel formulas for two transparent media. In the vicinity of critical angle, the reflection coefficients are virtually the same for both polarizations and are greater than unity. Beyond critical angle, the reflectances fall toward unity as grazing incidence is approached. Both the reflectance and the far-field transmittance peak in the immediate vicinity of critical angle. For angles less than critical angle, the transmittance can be 2 orders of magnitude greater than the reflectance. Certain values of gain parameters and incident angle lead to singularities in the theoretical reflectance. At these points the usual neglect of the effect of the transmitted wa ve on the population inversion is no longer valid.

© 1983 Optical Society of America

Citation
R. F. Cybulski, Jr. and M. P. Silverman, "Investigation of light amplification by enhanced internal reflection. Part I. Theoretical reflectance and transmittance of an exponentially nonuniform gain region," J. Opt. Soc. Am. 73, 1732-1738 (1983)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-73-12-1732


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. C. J. Koester, "Laser action by enhanced internal reflection," J. Quantum Electron. QE-2, 580–584 (1966).
  2. E. P. Ippen and C. V. Shank, "Evanescent-field-pumped dye laser," Appl. Phys. Lett. 21, 301–302 (1972).
  3. B. Ya. Kogan, V. M. Volkov, and S. A. Lebedev, "Superluminescence and generation of stimulated radiation under internal- reflection conditions," JETP Lett. 16, 100–101 (1972).
  4. S. A. Lebedev, V. M. Volkov, and B. Ya. Kogan, "Value of the gain for light internally reflected from a medium with inverted population," Opt. Spectrosc. 35, 565–566 (1973).
  5. S. A. Lebedev and B. Y. Kogan, "Light Amplification by internal reflection from an inverted medium," Opt. Spectrosc. 48, 564–565 (1980).
  6. G. N. Romanov and S. S. Shakhidzhanov, "Amplification of electromagnetic field in total internal reflection from a region of inverted population," JETP Lett. 16, 209–211 (1972).
  7. B. B. Boiko, V. G. Leshchenko, and N. S. Petrov, "Behavior of heterogeneous electromagnetic waves on the boundary between absorbing (amplifying) and transparent isotropic media," Zh. Prikl. Spektrosk. 19, 669–674 (1972).
  8. B. B. Boiko, N. S. Petrov, and I. Z. Dzhilavdari, "Reflection of electromagnetic waves from interface with amplifying medium," Zh. Prikl. Spektrosk. 18, 727–729 (1973).
  9. A. A. Kolokolov, "Reflection of plane waves from an amplifying medium," JETP Lett. 21, 312–313 (1975).
  10. W. Lukosz and P. P. Herrmann, "Amplification by reflection from an active medium," Opt. Commun. 17, 192–195 (1976).
  11. P. R. Callary and C. K. Carniglia, "Internal reflection from an amplifying layer," J. Opt. Soc. Am. 66, 775–779 (1976).
  12. B. B. Boiko, I. Z. Dzhilavdari, G. I. Olefit, and N. S. Petrov, "Reflection of light by a plane-parallel transparent layer in contact with an inverse medium," Zh. Prikl. Spektrosk. 26, 747–750 (1977).
  13. A. A. Kolokolov, "Structure of the lateral wave in the reflection of a beam from an active medium," Opt. Spectrosc. 44, 568–571 (1978).
  14. B. B. Boiko, I. Z. Dzhilavdari, and N. S. Petrov, "Reflection of light on the boundary of an exponentially inhomogeneous am- plifying medium (parallel polarization)," Zh. Prikl. Spektrosk. 22, 545–547 (1975).
  15. N. S. Petrov, B. B. Boiko, and I. Z. Dzhilavdari, "Reflection of light from a semi-infinite exponentially inhomogeneous amplifying medium," Zh. Prikl. Spectrosk. 23, 705–709 (1975).
  16. N. S. Petrov, B. B. Boiko, and I. Z. Dzhilavdari, "Reflection of light from an exponentially nonuniform amplifying medium in the case of parallel polarization," Zh. Prikl. Spektrosk. 24, 1038–1043 (1976).
  17. B. B. Boiko, I. Z. Dzhilavdari, and N. S. Petrov, "Amplification by reflection from a medium with population inversion," Zh. Prikl. Spektrosk. 25, 148–150 (1976).
  18. R. F. Cybulski, Jr. and C. K. Carniglia, "Internal reflection from an exponentially amplifying region," J. Opt. Soc. Am. 67, 1620–1627 (1977).
  19. Yu. N. Luk'yanov and V. G. Pan'kin, "Light reflection from an amplifying medium," Rad. Eng. Electron. Phys. 24, 21–25 (1979).
  20. R. F. Cybulski, Jr. and M. P. Silverman, "Enhanced internal reflection from an inverted medium," J. Opt. Soc. Am. 71, 1641 (1981).
  21. S. A. Lebedev and B. Ya Kogan, "Mechanism of anomalous light reflection from an inverted medium," Opt. Spectrosc. 48, 647–649 (1980).
  22. K. Sasaki, T. Fukao, T. Saito, and O. Hamano, "Thin-film waveguide evanescent dye laser and its gain measurement," J. Appl. Phys. 51, 3090–3092 (1980).
  23. K. Sasaki, T. Fukao, T. Saito, and O. Hamano, "Amplified oscillation in a slab-type optical directional coupler with an activated rhodamine 6G top layer," Appl. Phys. Lett. 37, 129–130 (1980).
  24. K. Sasaki, T. Saito, M. Serizawa, S. Furukawa, and O. Hamano, "Thin-film waveguiding evanescent dye laser with a corner reflecting resonator," Appl. Phys. Lett. 39, 300–301 (1981).
  25. R. F. Cybulski, Jr. and M. P. Silverman, "Reflectance from an exponentially nonuniform gain region," J. Opt. Soc. Am. 72, 1735 (1982).
  26. M. P. Silverman and R. F. Cybulski, Jr., "Light amplification by reflection from an inverted medium," Bull. Am. Phys. Soc. 28, 852 (1983).
  27. R. F. Cybulski, Jr., and M. P. Silverman, "Enhanced internal reflection from an exponential amplifying region," Opt. Lett. 8, 142–144 (1983).
  28. J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1975), pp. 17–22.
  29. S. A. Tuccio and F. C. Strome, Jr., "Design and operation of a tunable continuous dye laser," Appl. Opt. 11, 64–73 (1972).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited