Abstract

The correlation transport equation (CTE) is the natural generalization of the theory for diffusion correlation spectroscopy and represents a more precise model when dealing with measurements of particle movement in fluids or red blood cell flow in biological tissues. Unfortunately, the CTE is not methodically used due to the complexity of finding solutions. It is shown that actually a very simple modification of the theory/software for the solution of the radiative transport equation allows one to obtain exact solutions of the CTE. The presence of a static background is also taken into account and its influence on the CTE solutions is discussed. The proposed approach permits one to easily work beyond the diffusion regime and potentially for any optical and/or physiological value. The validity of the approach is demonstrated by using “gold standard” Monte Carlo simulations.

© 2016 Optical Society of America

Derivation of the correlation diffusion equation with static background and analytical solutions

Tiziano Binzoni, André Liemert, Alwin Kienle, and Fabrizio Martelli
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Generalized time-independent correlation transport equation with static background: influence of anomalous transport on the field autocorrelation function

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Study on the mathematical relationship existing between single-photon laser-Doppler flowmetry and diffuse correlation spectroscopy with static background

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Probability density function of the electric field in diffuse correlation spectroscopy of human bone in vivo

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