Abstract
It is shown, as an exact consequence of the nonrelativistic quantum theory of light scattering, that the dependence of differential cross section on the incident and scattered wave vectors and polarization vectors is the same as it is in the Kramers–Heisenberg approximate result. Combining this result with previous work, we conclude that in systems of randomly oriented scattering molecules (with no external fields) there is a necessary condition for the diagonally polarized elements of the Perrin matrix 〈Pi3〉 and 〈P3i〉 (with i=1,2,4) to be nonzero. The condition is that the molecule be radiatively and/or nonradiatively damped, and/or that retarded multiple scattering is occurring within the molecule. To show observable retardation effects, molecular size need only be comparable to wavelength. The retarded component of the 〈P3i〉 elements has a frequency prefactor of ω6, in contrast to the total intensity prefactor of ω4. Therefore, the bluest possible laser should be used for their measurement.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.