Symmetry between absorption and amplification in disordered media

Details Symmetry between absorption and amplification in disordered media Symmetry between absorption and amplification in disordered media

1999-04-21

arxiv.org/abs/cond-mat/9904309v1

PRB, vol.59, 9007(1999)

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

10.1103/PhysRevB.59.R9007

We address the issue of whether amplification, like absorption, suppresses wave transmission at large gain, as has been claimed in previous studies of wave propagation in active random media. A closer examination reveals that the paradoxical symmetry between absorption and amplification is an artifact of unphysical solutions from the time-independent wave equation. Solutions from the time-dependent equation demonstrate clearly that when gain is above the threshold, the amplitude of both the transmitted and the reflected wave actually increases with time, apparently without bound. The implications of the current finding is discussed

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