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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 67, Iss. 12 — Dec. 1, 1977
  • pp: 1620–1627

Internal reflection from an exponential amplifying region

R. F. Cybulski, Jr. and C. K. Carniglia  »View Author Affiliations

JOSA, Vol. 67, Issue 12, pp. 1620-1627 (1977)

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The reflectance from an amplifying region in which the gain decreases exponentially with distance from the surface is calculated as a function of incident angle. The results are similar in some respects to the reflectance from a uniform amplifying layer reported previously. In particular, a singular point occurs in the reflectance for certain values of the thickness of the amplifying region. However, the results for the exponential case do not explain the previously reported observation of large reflectance from a pumped laser dye. An asymptotic form of the reflectance for a thick amplifying region is presented. The results for asymptotic case are compared with various other theories of reflection from an amplifying region.

© 1978 Optical Society of America

R. F. Cybulski, Jr. and C. K. Carniglia, "Internal reflection from an exponential amplifying region," J. Opt. Soc. Am. 67, 1620-1627 (1977)

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  1. 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).
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  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. A. A. Kolokolov, "Reflection of plane waves from an amplifying medium," JETP Lett. 21, 312–313 (1975).
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  10. P. S. Epstein, "Reflection of waves in an inhomogeneous absorbing medium," Proc. Nat. Acad. Sci. 16, 627–637 (1930).

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