Abstract

Sensing and imaging methods based on the dynamic scattering of coherent light (including laser speckle, laser Doppler, diffuse correlation spectroscopy, dynamic light scattering, and diffusing wave spectroscopy) quantify scatterer motion using light intensity fluctuations. The underlying optical field autocorrelation, rather than being measured directly, is typically inferred from the intensity autocorrelation through the Siegert relationship, assuming that the scattered field obeys Gaussian statistics. Here, we demonstrate interferometric near-infrared spectroscopy for measuring the time-of-flight (TOF) resolved field and intensity autocorrelations in turbid media. We find that the Siegert relationship breaks down for short TOFs due to static paths whose optical field does not decorrelate over experimental time scales. We also show that eliminating such paths by polarization gating restores the validity of the Siegert relationship. The unique capability of measuring optical field autocorrelations, as demonstrated here, enables the study of non-Gaussian and non-ergodic light scattering processes. Moreover, direct measurements of field autocorrelations are more efficient than indirect measurements based on intensity autocorrelations. Thus, optical field measurements may improve the quantiffcation of scatterer dynamics with coherent light.

Highlights

  • Coherent light scattered from a turbid medium generates a random intensity distribution or speckle pattern [1,2], which fluctuates in time as the scatterers move

  • This effect serves as the basis for sensing and imaging methods based on dynamic scattering of coherent light (DSCL)

  • We demonstrate interferometric nearinfrared spectroscopy [32] for direct determination of TOF-resolved field and intensity autocorrelations

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Summary

INTRODUCTION

Coherent light scattered from a turbid medium generates a random intensity distribution or speckle pattern [1,2], which fluctuates in time as the scatterers move. Approaches to address non-ergodicity include the use of higher-order intensity autocorrelations [11,28], ensemble averaging of independent speckles [24,26] by inducing sample motion [29], spatial diversity [10,16,30], insertion of an additional ergodic medium [31], or fitting based on an assumed functional form of γ 1 τd [25]. These approaches entail either added complexity or extra measurements. This work extends beyond the intensity autocorrelations [32] demonstrated previously and determines field autocorrelations directly from the phase of the spectral interference

MEASUREMENT OF FIELD
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