Fractal properties of absorption spectra of vibration-rotation bands of gas molecules

Yury V. Kistenev; Yurii N. Ponomarev; Anatoly Shapovalov

doi:10.1117/12.375359

25 January 2000 Fractal properties of absorption spectra of vibration-rotation bands of gas molecules

Yury V. Kistenev, Yurii N. Ponomarev, Anatoly Shapovalov

Proceedings Volume 4063, 13th Symposium and School on High-Resolution Molecular Spectroscopy; (2000) https://doi.org/10.1117/12.375359
Event: 13th Symposium and School on High-Resolution Molecular Spectroscopy, 1999, Tomsk, Russian Federation

Abstract

The aim of the work is to apply multifractal analysis to absorption spectra of basic molecules of the atmosphere H₂O, CO₂, O₃. We have shown that the absorption spectra of vibration-rotation bands of gas molecules possess nontrivial multifractal features. The spectrum of multifractal dimensions is generated by the `absorption density' (the normalized summary absorption per the unit of spectral interval). The singularity spectrum depends on molecular and isotopic composition of gas and of type of vibration-rotation band of absorption.

Citation Download Citation

Yury V. Kistenev, Yurii N. Ponomarev, and Anatoly Shapovalov "Fractal properties of absorption spectra of vibration-rotation bands of gas molecules", Proc. SPIE 4063, 13th Symposium and School on High-Resolution Molecular Spectroscopy, (25 January 2000); https://doi.org/10.1117/12.375359

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