Correlation transfer theory: Application of radiative transfer solution methods to photon correlation in fluid-particle suspensions

• Main Author: Reguigui, Nafaa Mohammed
• Format: Dissertation
• Language: English
• Published: ProQuest Dissertations & Theses 01-01-1994
• Subjects: Mechanical engineering; Nuclear physics; Radiation
• ISBN: 9798209442943

Scope and method of study. In this work, the derivation of the correlation transfer equation (CTE) governing the temporal field correlation function for multiple scattering of light through suspensions of diffusing particles is presented. It was shown here that there exists a formal similarity between the CTE and the radiative transfer equation (RTE). Several radiative transfer solution techniques (approximate and exact) were applied to obtain solutions for the field correlation function in isotropic and anisotropic one-dimensional media subjected to either natural or polarized radiation. Findings and conclusions. Numerical solutions were presented for the field correlation function back-scattered and transmitted from plane parallel media. Overall trends of the solutions agree very well with published experimental observations. The agreement is improved when anisotropic effects and index of refraction effects are taken into consideration. It is shown that CTE is in excellent agreement with Diffusive Wave Spectroscopy and the single scattering theory. Results for the polarized CTE follow trends of published experimental results. However, the P$\sb1$ approximation for the polarized CTE fails at low optical thicknesses (L $\leq$ 1).