A.A. Chabanov, Abe Pena (UT-San Antonio) Jing Wang, A.Z. Genack (Queens College of CUNY) Speckle Fluctuations and Correlation.

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Presentation transcript:

A.A. Chabanov, Abe Pena (UT-San Antonio) Jing Wang, A.Z. Genack (Queens College of CUNY) Speckle Fluctuations and Correlation

Speckles

Wave propagation in disordered media mean free path wavelength Field Intensity

Average intensity: Gaussian statistics: only the pairs of identical paths have the same phase and thus give a contribution to the average intensity Wave diffusion in a disordered medium wavelength mean free path

Diffusion equation for the average intensity: Wave diffusion in a disordered medium (This equation would yield the Ohm’s law for a disordered conductor)

Wave interference A A*A* Probability of return: waveparticle transport reduction nonlocal correlation weak localization non-Gaussian statistics

Transmission coefficients a′a′ b Transmitted intensity = speckle intensity Total transmission = brightness Transmittance = conductance a b′b′

Transmission coefficients i.e., Beenakker, RMP (1997)

Statistics of t ab and T ab Kogan & Kaveh, PRB (1995) AAC & Genack, PRA (2005)

Alumina sample d=0.9 cm n=3.14 f=0.068 alumina sphere: copper tube: D=7.3 cm

L=60 cm, 10,000 sample configurations A: ν = GHz, var( s ab )=1.18, diffusive wave B: ν = GHz, var( s ab )=6.18, localized wave C: t=740 ns, var[ s ab (t)]=20.1, strongly localized wave Transmission in alumina samples Frequency (GHz) time (ns) ABC σ = 5 MHz

Transmitted field distribution Gaussian statistics:

Characteristic and distribution functions of total transmission Nieuwenhuizen & vanRossen (1995) Stoytchev & Genack (1999)

Factorizing of statistics of the field and intensity Fluctuations: Correlations:

Correlation with polarization AAC, Hu & Genack (2004)

Statistics of total transmission In localized regime (only one open channel):

Statistics of transmission quantities in localized regime Pnini (2001)

Correlation with wave polarization

Intensity correlation of localized waves

In a given random configuration, the statistics of transmitted field is Gaussian for both diffusive and localized waves; non- Gaussian mesoscopic field statistics arise in ensemble of configurations due to mesoscopic fluctuations of transmission In localized regime, the transmitted intensity can be written as a product of three statistically independent variables; two of them have Rayleigh distribution Future work: Conclusions In diffusive regime (many channels): ?