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4 - Rayleigh and Raman Scattering from Linear Molecules

Published online by Cambridge University Press:  24 February 2022

Chiao-Yao She  and
Jonathan S. Friedman
Chiao-Yao She
Affiliation:
Colorado State University
Jonathan S. Friedman
Affiliation:
Universidad Ana G. Mendez
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Summary

In Chapter 4, we look at nonresonant scattering, specifically Rayleigh and Raman scattering from linear molecules. We continue with the semiclassical (quantum) treatment, leading to the induced dipole moment and associated differential scattering cross section. Explicitly adding vibrational and rotational manifolds of the ground state, we show the results for all three regimes: Rayleigh, rotational Raman, and vibrational Raman scattering. We then apply these results to nitrogen and oxygen molecules and associate the results with macroscopic quantities, such as the index of refraction of an ensemble, or gas. From this point, we focus specifically on Rayleigh + vibrational Raman spectra of O2 and N2, determining vibrational and rotational constants and the thermal populations of the states, based on their molecular energies, which leads to the spectral strengths of individual lines. We finish this chapter with a description of the Cabannes spectrum and the effect of the density fluctuations on its lineshape, considering the success of theoretical models in reproducing these spectra in Knudson (low-density), kinetic (medium-density) and hydrodynamic (high-density) regimes.

Keywords

Rayleigh scatteringRotational Raman scatteringvibrational Raman scatteringRayleigh cross sections for nitrogen and oxygenRaman cross sections for nitrogen and oxygenpolarizability and macroscopic propertiesRayleigh spectra for nitrogen and oxygenRaman spectra for nitrogen and oxygendensity perturbationsand Cabannes spectra
Type
Chapter
Information
Atmospheric Lidar Fundamentals
Laser Light Scattering from Atoms and Linear Molecules
 , pp. 50 - 93
Publisher: Cambridge University Press
Print publication year: 2022

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