30 May 1995 Scattering characteristics of photon density waves from an object embedded in a spherically two-layer turbid medium
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Abstract
We present an analytic solution to the amplitude and phase distributions of photon density waves in strongly scattering, spherically symmetric, two-layer media containing a spherical object. The normal mode series method is employed to solve the inhomogeneous Helmholtz equation in spherical coordinates, with suitable boundary conditions. By comparing the total field on the surface of the outer layer when the object is present to when it is absent, we evaluate the potential sensitivity of an optical imaging system to inhomogeneities in absorption and scattering. For four types of background media which are different in their absorption and scattering properties, we determine: i) the modulation frequency that achieves an optimal compromise between signal detection reliability and sensitivity to the presence of object; ii) the minimum detectable object radius, iii) the smallest detectable change in its absorption coefficient and iv) scattering coefficient for a fixed object size. A discussion of the qualitative and quantitative findings is given.
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Yuqi Yao, Yuqi Yao, Yao Wang, Yao Wang, Randall Locke Barbour, Randall Locke Barbour, Harry L. Graber, Harry L. Graber, Jenghwa Chang, Jenghwa Chang, } "Scattering characteristics of photon density waves from an object embedded in a spherically two-layer turbid medium", Proc. SPIE 2389, Optical Tomography, Photon Migration, and Spectroscopy of Tissue and Model Media: Theory, Human Studies, and Instrumentation, (30 May 1995); doi: 10.1117/12.209979; https://doi.org/10.1117/12.209979
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