Abstract

Light-scattering methods are widely used in soft matter physics and biomedical optics to probe dynamics in turbid media, such as diffusion in colloids or blood flow in biological tissue. These methods typically rely on fluctuations of coherent light intensity, and therefore cannot accommodate more than a few modes per detector. This limitation has hindered efforts to measure deep tissue blood flow with high speed, since weak diffuse light fluxes, together with low single-mode fiber throughput, result in low photon count rates. To solve this, we introduce multimode fiber (MMF) interferometry to the field of diffuse optics. In doing so, we transform a standard complementary metal-oxide-semiconductor (CMOS) camera into a sensitive detector array for weak light fluxes that probe deep in biological tissue. Specifically, we build a novel CMOS-based, multimode interferometric diffusing wave spectroscopy (iDWS) system and show that it can measure ∼20 speckles simultaneously near the shot noise limit, acting essentially as ∼20 independent photon-counting channels. We develop a matrix formalism, based on MMF mode field solutions and detector geometry, to predict both coherence and speckle number in iDWS. After validation in liquid phantoms, we demonstrate iDWS pulsatile blood flow measurements at 2.5 cm source-detector separation in the adult human brain in vivo. By achieving highly sensitive and parallel measurements of coherent light fluctuations with a CMOS camera, this work promises to enhance performance and reduce cost of diffuse optical instruments.

Highlights

  • Fluctuations of scattered light can noninvasively probe the microscopic motion of scatterers in turbid media such as colloids, foams, gels, and biological tissue

  • signal-to-additive-noise ratio (SANR) are estimated from statistical simulations of noise-added and digitized heterodyne signals using Eq (10) and realistic photon numbers, and speckle numbers are estimated from statistical simulations of digitized heterodyne signals without additive noise using Eq (12); 2

  • We describe the interferometric diffusing wave spectroscopy (iDWS) system with a multimode interference transmission matrix (MMITM), built from vectorial modes of the multimode fiber (MMF)

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Summary

Introduction

Fluctuations of scattered light can noninvasively probe the microscopic motion of scatterers in turbid media such as colloids, foams, gels, and biological tissue. Diffusing wave spectroscopy (DWS) uses intensity fluctuations of multiply scattered coherent light to infer the dynamics of a turbid medium (or sample) [1,2]. When DWS is applied to quantify blood flow in biological tissue by modeling transport with the correlation diffusion equation solution for a semi-infinite turbid medium [3], the term “diffuse correlation spectroscopy” (DCS) is often used [4,5,6,7]. DWS and DCS are homodyne methods, as they measure the intensity fluctuations formed by Heterodyne optical methods interfere a strong reference light field with the weak scattered sample field(s) to boost signal. The use of SMF or few-mode fiber (FMF) collectors in homodyne DCS limits achievable photon count rates at large source-detector (S-D) separations, making deep tissue, high-speed measurements challenging [4,5]. While time-of-flight-resolved methods enable deep tissue measurements at short S-D separations [12,13], their speed remains limited by the collection fiber throughput

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