1988
DOI: 10.1103/physrevlett.61.459
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Macroscopic Approach to Correlations in the Electronic Transmission and Reflection from Disordered Conductors

Abstract: Recently, a macroscopic theory of TV-channel disordered conductors treated the evolution (with the length L) of the probability distribution of the transfer matrix for the full conductor and allowed a theoretical description of the universal conductance fluctuations. Those results are used here to calculate the correlation function between transmission as well as reflection coefficients: In the case L^>W (width of the sample), the former essentially coincides with the one obtained from microscopic perturbative… Show more

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Cited by 144 publications
(122 citation statements)
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“…Defining a correlation length, δr, as the first zero of C 1 gives δr = π/k = λ/2. The intensity is correlated far beyond δr as a result of scattering within the medium [2,3,4,5,6,7] so that intensity values in remote speckle spots are not statistically independent. This gives rise to two additional contributions to C, which can therefore be expressed as, C = C 1 + C 2 + C 3 [3,8], and leads to greatly enhanced mesoscopic fluctuations [9].…”
mentioning
confidence: 99%
“…Defining a correlation length, δr, as the first zero of C 1 gives δr = π/k = λ/2. The intensity is correlated far beyond δr as a result of scattering within the medium [2,3,4,5,6,7] so that intensity values in remote speckle spots are not statistically independent. This gives rise to two additional contributions to C, which can therefore be expressed as, C = C 1 + C 2 + C 3 [3,8], and leads to greatly enhanced mesoscopic fluctuations [9].…”
mentioning
confidence: 99%
“…(7). If W > L the isotropy assumption breaks down [5] and we expect the peak to broaden over W/L modes. Fig.…”
mentioning
confidence: 99%
“…Following Mello, Akkermans, and Shapiro [5], we assume that u is uniformly distributed over the unitary group. This "isotropy assumption" is an approximation which ignores the finite time scale of transverse diffusion.…”
mentioning
confidence: 99%
“…The average photon flux is defined as n b (t) = â † b (t)â b (t) while the variance in the photon fluctuations is n 2 2 , where · · · describes the quantum mechanical expectation value. In the following, we focus on the setting in which the light beam is incident onto the medium through a single direction, a, thus the average photon flux for all other input modes is equal to zero.…”
Section: Theorymentioning
confidence: 99%
“…Mesoscopic intensity fluctuations that survive averaging over all configurations of disorder give rise to phenomena such as enhanced backscattering and Anderson localization of light [1]. To characterize such a disordered medium, it is essential to investigate spectral or temporal intensity correlations in the multiply scattered light [2][3][4]. In the diffusive regime, the light intensities of different spatial directions (i.e., independent speckles) are uncorrelated.…”
Section: Introductionmentioning
confidence: 99%