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Journal of Experimental and Theoretical Physics Letters

Symmetry breaking in distributed coupling of counterpropagating waves in a superradiant laser

Igor V. Mel’nikov

Published Feb 1, 1996• 0 citations
Publisher

Abstract

The instability of superfluorescent decay is investigated for the case in which the sample length is greater than or comparable to the resonant wavelength. This instability can inhibit emission in the direction of the pump pulse and even cause the forward emission to be switched off.
DOI
10.1134/1.566997

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On working beyond the slowly varying envelope approximation, the instability of superfluorescent decay is investigated for the case in which the sample size is greater than or comparable to the resonant wavelength. The instability is associated with coupling between counterpropagating waves and can inhibit emission in the direction of the pump pulse. In particular, it is shown that tiny changes of the sample length can cause the forward emission to be switched off, suggesting that the optical analog of a directing antenna may be experimentally accessible.
Correlation of the parameters (delay times, peak intensities) of counterpropagating superfluorescence pulses is studied within the framework of a one-dimensional theoretical model depending on the sharpness of boundaries of the excitation region. The concentration N 0 of the initially excited active centers is described by a smoothed profile (decaying to zero within the h − and h + wide intervals at the left-and right-hand ends of the sample, respectively), rather than by a rectangular profile. It is established that variation of the excitation region boundary widths h ± does not eliminate the observed correlations. Moreover, the correlations can significantly increase for the samples with a length of L = n λ/2, where n is any natural number and λ is the resonance light wavelength. The oscillating dependence of the parameters of counterpropagating superfluorescence pulses on the h ± values and a significant asymmetry of these pulses for h − ≠ h + are discussed.
Mode superradiance (i.e. superfluorescence) in an open Fabry—Perot resonator is characterised by simultaneous emission of counterpropagating coherent pulses even when the mirrors have very low (but finite) reflection coefficients, beginning from R cr ≪ 1. It is shown that for any value of the resonator Q factor, even when R ≫ R cr or R ~ 1, a self-matched λ /2 grating of the population inversion in a two-level medium does not result in significant Bragg reflection which would exceed the reflection from the mirrors. A consistent allowance for the interference of inhomogeneous conterpropagating waves significantly alters the spatial and temporal dynamics of depletion of the population inversion and, consequently, greatly changes he profile of collective spontaneous radiation pulses, compared with the predictions of the mean field and unidirectional superradiance theories. A new nonlinear equation for superradiance in an open resonator is derived.