3 October 2008 Effective reconstruction of dynamics of medium response spectrum
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A new algorithm is suggested to visualize the dynamics of medium response spectrum in terahertz diapason by the singly measured set of partially intersected integral characteristics of the signal. The algorithm is based on SVD method and window sliding method. The analysis, we carried out, demonstrates many advantages of the new algorithm in com-parison with the Gabor-Fourier approach, which allows obtaining the dynamics of only one spectral line for one set of measurements. Among which it is necessary to mention the possibility to get the dynamics of many spectral components simultaneously for one set of measurements as well and therefore to get the complete information about the spectrum dynamics. This allows to identify specific materials with known spectral lines and to distinguish materials with similar spectra, which is of great importance for the detection and identification of different chemicals, pharmaceutical substances and explosives. To demonstrate the efficiency of a proposed algorithm, we compare spectrum dynamics of chocolate and soap, which possess the similar spectra. Our investigation shows that their dynamics widely vary in spec-tral lines. The proposed algorithm can be also applied to voice identification and to reconstruction of a laser beam profile with a great number of local maxima. Developed algorithm allows to measure the characteristic time of medium responce. It is very important for various problems of spectroscopy.
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Vyacheslav A. Trofimov, Vyacheslav A. Trofimov, Svetlana A. Varentsova, Svetlana A. Varentsova, } "Effective reconstruction of dynamics of medium response spectrum", Proc. SPIE 7119, Optics and Photonics for Counterterrorism and Crime Fighting IV, 71190N (3 October 2008); doi: 10.1117/12.800607; https://doi.org/10.1117/12.800607

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