在单个方波脉冲入射情况下,利用共轭梯度法对一维梯度折射率介质的折射率、吸收系数以及散射系数进行了反演.正问题采用间断有限元法求解,反问题的解则在正问题的基础上通过共轭梯度法得到.研究结果表明,利用单个方波脉冲入射情况下的时域半球反射率以及时域半球透射率作为测试值能够有效地反演一维梯度折射率介质的光学特性及其分布情况.
Based on the conjugate gradient method,the refractive index,absorption and scattering coefficients in one-dimensional graded index media are estimated for the case in which the boundary is subjected to single square pulse.The discontinuous finite element method is extended to solve the direct problem,and then the conjugate gradient method is used to solve the inverse problem bv optimizing the objective function.The results show that,by using the time-resolved hemisphere reflectance and transmittance as the test value,the optical property and its distribution in a one-dimensional graded index medium are effectively estimated.
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