多频声光层析成像的传输模型
A Transport Model for Multi-Frequency Acousto-Optic Tomography
摘要：
在介质中，介电常数在声波的存在下被扰动，光学散射产生频移光。在本文中，我们考虑的逆问题，恢复这种介质的光学性质的测量的频移光，使用辐射传输方程（RTE）模型的光传播。给出一些假设的规则性和各向同性的系数的RTE，我们表明，吸收系数可以重建从一个单一的精心选择的照明的边界测量，和散射系数可以重建从边界测量的一个参数家庭的照明。
英文摘要：
In a medium where the dielectric permittivity is perturbed in the presence of an acoustic wave, optical scattering generates frequency-shifted light. In this paper we consider the inverse problem of recovering the optical properties of this medium from measurements of the frequency-shifted light, using a radiative transport equation (RTE) model for light propagation. Given some assumptions on the regularity and isotropicity of the coefficients of the RTE, we show that the absorption coefficient can be reconstructed from the boundary measurements of a single well chosen illumination, and that the scattering coefficients can be reconstructed from boundary measurements of a one-parameter family of illuminations.
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