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1 March 2019 Monte Carlo weighted algorithms for calculation of radiation characteristics and their derivatives in the biomedical optics problems
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Abstract
Two families of new non-analog algorithms of the Monte Carlo method are suggested for calculation of linear characteristics of optical radiation field in turbid heterogeneous media, biological tissues, first of all. One of the families is specifically aimed at calculating the readings of small-aperture radiation detectors. The algorithms allow us with high differential accuracy simultaneously for a large set of the media with different optical parameters (including phase function ones) to calculate the readings of detectors and their derivatives with respect to the parameters. This makes the algorithms high perspective for solving inverse problems of biomedical optics, in particular, for determination of optical parameters of biological tissues from measurements of radiation characteristics. The result is obtained using a rigorous approach based on the theory of Monte Carlo method for linear integral equations. For this purpose, we wrote (in the framework of the kinetic model) the adjoint integral representations for linear radiation characteristics in a heterogeneous turbid medium, correctly considering the reflection and refraction of the light on the surfaces of refractive index discontinuity.
Conference Presentation
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Alexander V. Lappa and Anastasiya E. Anchugova "Monte Carlo weighted algorithms for calculation of radiation characteristics and their derivatives in the biomedical optics problems", Proc. SPIE 10876, Optical Interactions with Tissue and Cells XXX, 108760S (1 March 2019); doi: 10.1117/12.2507896; https://doi.org/10.1117/12.2507896
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