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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 66, Iss. 8 — Aug. 1, 1976
  • pp: 775–779

Internal reflection from an amplifying layer

P. R. Callary and C. K. Carniglia  »View Author Affiliations


JOSA, Vol. 66, Issue 8, pp. 775-779 (1976)
http://dx.doi.org/10.1364/JOSA.66.000775


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Abstract

The reflectance of a homogeneous amplifying layer between two transparent regions is determined theoretically with the help of the Fresnel formulas. The transparent region containing the incident beam has a higher refractive index, corresponding to an internal reflection configuration. In the limit of infinite layer thickness, the reflectance is a continuous monotonic function of incident angle, greater than unity for all angles. For certain finite values of layer thickness, the reflectance has a singular point. The results explain the reported observation of a reflectance of 1000 from an excited laser dye in contact with a quartz prism.

© 1976 Optical Society of America

Citation
P. R. Callary and C. K. Carniglia, "Internal reflection from an amplifying layer," J. Opt. Soc. Am. 66, 775-779 (1976)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-66-8-775


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References

  1. G. N. Romanov and S. S. Shakhidzhanov, ZhETF Pis. Red. 16, 298–301 (1972) [JETP Lett. 16, 209 (1972)].
  2. S. A. Lebedev, V. M. Volkov, and B. Ya. Kogan, Opt. Spectrosc. 35, 565 (1973).
  3. The sign convention regarding γ assumes waves of the form exp[i(k · r – ωt)].
  4. B. Ya. Kogan, V. M. Volkov, and S. A. Lebedev, ZhETF Pis. Red. 16, 144–147 (1972) [JETP Lett. 16, 100 (1972)].
  5. O. S. Heavens, Optical Properties of Thin Solid Films (Butterworths, London, 1955), p. 57. Note: The sign of δ differs from ours due to the different form of the waves used. See Ref. 3 above.
  6. S. A. Tuccio and F. C. Strome, Jr., Appl. Opt. 11, 64 (1972).

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