Abstract

A mathematical expression of reflectance point-spread function, whichis defined as the spatial distribution of light diffuse-reflected frombio-tissues irradiated by an infinitely narrow photon beam, is derivedfrom the diffusion approximation (DA) theory. With the introduction ofreflectance point-spread function to describe the reflectancecharacteristics of bio-tissues, the convolution method is used tocalculate the spatial resolved reflectance from dense and thick tissuesirradiated by different photon beams. This is called the DA basedconvolution method and is used to calculate the responses of thesemi-infinite bio-tissues irradiated by a Gaussian beam and a flat beamwith different beam radius. The calculation results show that the DAbased convolution method has much higher computing efficiency comparedto the Monte Carlo method.

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