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Physics Letters A

Frequency shifts in the spectral distribution of the reflectivity from a resonant medium with spatially modulated density

Richard M. Friedberg, Jamal T. Manassah

Published Aug 5, 2004• 2 citations
Publisher
DOI
10.1016/j.physleta.2004.07.039

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We compute the spectral distributions of the transmitted and reflected signals from an extended optically dense superradiant amplifier. We show that, if the amplifier length is in the neighborhood of an integer multiple of the resonance transition half-wavelength, the frequency shift in the spectral distributions of the transmitted and reflected signals are modified by the Dynamical Lorentz Shift. The broken spatial inversion symmetry, manifested through an asymmetrical distribution of the population difference with respect to a spatial inversion around the midpoint of the sample, is shown to be at the origin of this spectral asymmetry in these so-called asymmetrical transition domains.
Specific characteristics of the radiation of a resonant medium excited by an ultrashort light pulse propagating through the medium with a superluminal velocity are considered. The medium is assumed to consist of identical linear harmonic oscillators with a spatial density periodically modulated along the direction of propagation of the superluminal excitation. The field of radiation of the resonant medium under these conditions is calculated. It is shown that, under the superluminal excitation, the radiation spectrum of the medium shows, along with the fundamental frequency of the oscillators, new frequencies that depend on the spatial frequency of the distribution of oscillators and on the angle of observation. Possible application of the effect is discussed.