Correlations in Transmission of Light through a Disordered Amplifying Medium

Abstract

The angular and frequency correlation functions of the transmission coefficient for light propagation through a strongly scattering amplifying medium are considered. It is found that just as in the case of an elastic scattering medium the correlation function consists of three terms. However, the structure of the terms is rather different. Angular correlation has a power-law decay and exhibits oscillations. There is no "memory effect" as in the case of an elastic medium. Interaction between diffusion modes is strongly enhanced near the lasing threshold. Frequency correlation scale decreases close to the lasing threshold. We also consider time correlations of the transmission in the case of nonstationary inhomogeneities. We find short- and long-range time correlations. The scale of the short-range correlation decreases, while the long-range correlation scale becomes infinite near the threshold.

16 pages, 7 postscript figures

Cited by in corpus (8)

• Symmetry between absorption and amplification in disordered media
• Field and intensity correlations in amplifying random media
• Transmission and reflection in a perfectly amplifying and absorbing medium
• Photon noise in a random laser amplifier with fluctuating properties
• Temporal fluctuations of waves in weakly nonlinear disordered media
• Minimum reflection channel in amplifying random media
• Excess-noise suppression for a squeezed state propagating through random amplifying media via wave-front shaping
• Theory of light diffusion through amplifying photonic lattice