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Total Internal Reflection in Gain Media

Hanan Herzig Sheinfux, Bo Zhen, Ido E. Kaminer, Mordechai Segev

Published Jan 1, 2015• 1 citation
Publisher

Abstract

We resolve the controversy around total internal reflection from gain media, propose new effects of (extremely) amplified reflection from a single interface, and snow sensitivity to subwavelengtn features.
DOI
10.1364/cleo_qels.2015.fm2d.3

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 At these points the usual neglect of the effect of the transmitted wave on the population inversion is no longer valid.