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Frontiers in Optics

Dynamics and Excitation of Absorbing and Amplifying Random Media

Yiming Huang, Yuhao Kang, Azriel Z. Genack

Published Jan 1, 2020• 0 citations
Publisher

Abstract

Using microwave measurements, numerical simulations and analytic theory, we find expressions for the spectra of the transmission time, energy density and density of states in nonunitary random media.
DOI
10.1364/fio.2020.jm6a.17

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A general theory is presented for the photodetection statistics of coherent radiation that has been amplified by a disordered medium. The beating of the coherent radiation with the spontaneous emission increases the noise above the shot-noise level. The excess noise is expressed in terms of the transmission and reflection matrices of the medium, and evaluated using the methods of random-matrix theory. Intermode scattering between N propagating modes increases the noise figure by up to a factor of N, as one approaches the laser threshold. Results are contrasted with those for an absorbing medium.
We demonstrate enhanced wavelike character of diffuse photon density waves (DPDW) in an amplifying random medium. The amplifying nature makes it necessary to choose the wave solution that grows inside the amplifying medium, and has a propagation vector pointing opposite to the growth direction. This results in negative refraction of the DPDW at an absorbing-amplifying random medium interface as well as the possibility of supporting ``anti''-surface-like modes at the interface. A slab of an amplifying random medium sandwiched between two absorbing random media supports waveguide resonances that can be utilized to extend the imaging capabilities of DPDW.
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