Diffusing-wave spectroscopy: Difference between revisions

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with <math>k_0=\frac{2\pi n}{\lambda}</math> and <math>l*</math> is the transport mean free path of scattered light.
 
For simple cell geometries, it is thus possible to calculate the mean square displacement of the particles <Δr<sup>2</sup>> from the measured g<sub>2</sub>-1 values analytically. For example, for the backscattering geometry, an infinitely thick cell, large laser spot illumination and detection of photons coming from the center of the spot, the relation ship between g<sub>2</sub>-1 and <Δr<sup>2</sup>> is:
 
<math>g_2(\tau)-1=\exp\left(-2 \gamma \sqrt{\langle\Delta r^2(\tau)\rangle k_0^2}\right)</math>, γ value is around 2.