Abstract
Starting from a dipole array theory of elastic light scattering by particles of arbitrary shape and composition, we develop long-wave asymptotic formulas for all sixteen elements of the Mueller scattering matrix, valid after orientation averaging. The six dipole elements have long been known to be asymptotically proportional to k4 where k is the wave vector length of the light. However, the remaining ten nondipole elements experience intricate cancellations within the averaging operation that cause the asymptotic behavior to go like k5, k8, or k9; or at certain angles, like k6. For example, we show that (M34)=Ck9 sin2(θ), where C is a constant dependent on particle properties, and θ is the scattering angle. We find analogous simple angular basis functions for all 16 of the formulas and we show that they agree with numerical results from the exact algorithm. We contrast dipole array theory with central multipole expansion theory, which fails to account correctly for six of the Mueller elements, no matter how many multipoles are used.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: 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.
