Highly Accurate Reconstruction of Spectral Optical Characteristics of a Medium Using Terahertz Pulsed Spectroscopy

Solving the inverse ill-posed problem is considered, which is connected with reconstruction of spectral optical properties of the sample based on results of its investigation using terahertz pulsed spectroscopy. A novel algorithm for determination of the spectral complex refractive index of a flat sample is developed. In contrast to the existing methods for solving this problem, the developed technique allows studying the samples with low refractive index and (or) small thickness. At the same time the required accuracy of the a priori determination of sample thickness is significantly reduced. Since the algorithm has the procedure for numerical refinement of sample thickness, it provides the correct reconstruction of optical characteristics of the sample with an accuracy of the sample thickness measurement no worse than ±100 μm. This imprecision is much smaller than the ordinary technique permits. Reconstruction ofTHz optical properties of the sample is implemented by means of the error functional minimization. The functional is based on two functions: experimental complex transfer function of the sample and quasi-Fabry-Perot-model of the sample transfer function. The algorithm is programmed and experimentally approved.

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