Coherent anti-Stokes Raman spectroscopy (CARS): Selection rules, depolarization ratios and rotational structure

By putting the non-linear susceptibility tensors in irreducible spherical form it is found that orientation averaging, selection rules, and the angular dependence of intensity on field polarizations all follow in a straightforward way. These spherical tensor techniques are used to treat coherent anti-Stokes Raman scattering (CARS) in detail and a comparison is made with conventional Raman scattering. The selection rules for both processes are shown to be the same. The paper concludes with a brief discussion of the rotational structure in CARS.

[1]  Brian J. Orr,et al.  Perturbation theory of the non-linear optical polarization of an isolated system , 1971 .

[2]  M. Levenson,et al.  Dispersion of the nonlinear optical susceptibilities of organic liquids and solutions , 1974 .

[3]  R. W. Terhune,et al.  Study of Optical Effects Due to an Induced Polarization Third Order in the Electric Field Strength , 1965 .

[4]  T. C. Damen,et al.  Angular Dependence of the Raman Scattering from Benzene Excited by the He-Ne cw Laser , 1965 .

[5]  A. J. McCaffery,et al.  Circularly polarized Raman scattering. Direct approach to the determination of vibrational symmetries , 1974 .

[6]  D. Hanna,et al.  Nonlinear atomic susceptibilities , 1976 .

[7]  R. Begley,et al.  Low-power CW generation of coherent anti-stokes Raman radiation in CH4gas , 1975, IEEE Journal of Quantum Electronics.

[8]  L. Levin,et al.  Polarization characteristics of Raman scattered radiation as a function of angle between incident and scattered beams , 1973 .

[9]  P. Stokseth,et al.  Tunable Lasers and Applications , 1976 .

[10]  K. Altmann,et al.  Application of spherical tensors and Wigner 3-j-symbols to the calculation of relative intensities of rotational lines in Raman bands of molecular gases , 1972 .

[11]  J. Koningstein,et al.  Electronic Raman Spectra. III. Absolute Cross Sections for Electronic Raman and Rayleigh Scattering , 1968 .

[12]  J. Koningstein.  Introduction to the Theory of the Raman Effect , 1972 .

[13]  D. Hanna,et al.  Effects of spin-orbit coupling on resonant enhancement of stimulated electron Raman scattering , 1976 .