Method for characterising particles in suspension from frequency domain photon migration measurements
First Claim
1. A method for measuring an isotropic scattering coefficient for radiation having a selected wavelength and being multiply scattered in a suspension of particles, comprising:
- (a) placing the suspension between a source and a detector of the radiation, the source and the detector being disposed at a first selected distance apart, the radiation having an intensity, the intensity being modulated at a first selected frequency of modulation;
(b) measuring at least two characteristics of the radiation at the source and the detector, the two characteristics being selected from among AC attenuation of the radiation, DC attenuation of the radiation, and phase shift of the radiation;
(c) changing the selected distance apart of the source and the detector to a different selected distance apart and repeating step (b);
(d) from the selected two characteristics and a mathematical solution of the diffusion equation for propagation of light through a multiple scattering medium expressed as a linear function of the selected distance, calculating the scattering coefficient; and
(e) generating an output signal indicative of the calculated scattering coefficient.
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Abstract
Methods are provided for measuring isotropic scattering coefficients of suspensions using multiply scattered radiation that is modulated in amplitude at selected modulation frequencies. The radiation may be light. Quantities describing diffusion of the multiply scattered radiation are preferably measured at a plurality of distances between source and receiver and a plurality of frequencies. Linear regression techniques are provided for maximizing accuracy of the scattering data at a selected wavelength of a radiation. Methods are provided for inversing an integral equation so as to determine a calculated value of scattering coefficient. Parameters are varied to minimize the difference between the calculated and measured scattering coefficients and thereby to determine volume fraction, particle size distribution and interparticle force between the particles in a suspension. By incorporating a first principles model to account for interparticle force, the measurements can be used to determine a parameter governing interparticle forces in a suspension. The suspension may be in a liquid or a gas.
32 Citations
12 Claims
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1. A method for measuring an isotropic scattering coefficient for radiation having a selected wavelength and being multiply scattered in a suspension of particles, comprising:
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(a) placing the suspension between a source and a detector of the radiation, the source and the detector being disposed at a first selected distance apart, the radiation having an intensity, the intensity being modulated at a first selected frequency of modulation; (b) measuring at least two characteristics of the radiation at the source and the detector, the two characteristics being selected from among AC attenuation of the radiation, DC attenuation of the radiation, and phase shift of the radiation; (c) changing the selected distance apart of the source and the detector to a different selected distance apart and repeating step (b); (d) from the selected two characteristics and a mathematical solution of the diffusion equation for propagation of light through a multiple scattering medium expressed as a linear function of the selected distance, calculating the scattering coefficient; and (e) generating an output signal indicative of the calculated scattering coefficient. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12)
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Specification