In this paper studied application of Kamers-Kronig relations in spectral analysis of diffuse reflected IR radiation. Two methods of the Kramers-Kronig relations calculation were considered: Maclaurin’s Formula (MF method) and Method of Peterson-Knight (PK method). Influence of using MF and PK methods on synthetic and real experimental spectra were studied. Accuracy and calculating time of these methods were compared. According to the results of numerical experiments, conclusions about the perspectives and application possibilities of the considered methods were discussed.

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Abstract. The article briefly describes distinctive features of quantum cascade lasers (QCL). It also describes an experimental set-up for acquiring mid-infrared absorption spectra using QCL. The paper demonstrates experimental results in the form of normed spectra. We tested the application of the least squares method for spectrum analysis. We used this method for substance identification and extraction of concentration data. We compare the results with more common methods of absorption spectroscopy. Eventually, we prove the feasibility of using this simple method for quantitative and qualitative analysis of experimental data acquired with QCL.

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