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Optics Letters

Enhanced internal reflection from an exponential amplifying region

R. F. Cybulski, Mark P. Silverman

Published Mar 1, 1983• 5 citations
Publisher

Abstract

The reflectance of a p-polarized wave from an interface between a transparent medium and an amplifying medium with an exponential gain profile is derived. Experimentally determined reflectance curves are in agreement with theory and show amplification in the vicinity of the critical angle.
DOI
10.1364/ol.8.000142

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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 At these points the usual neglect of the effect of the transmitted wave on the population inversion is no longer valid.