Abstract
Basis vectors of a spherical system are shown to be linear combinations of functions commonly used in light scattering. These expressions are used to obtain an expansion for the unit dyadic as a linear combination of products of these functions, and this expansion is used to motivate the use of matrix orthonormality to obtain a complete set of sum rules for products of scalar light scattering functions. As an example demonstrating the utility of these expressions, sum rules are obtained for dyadic, component, and inner products of vector spherical harmonics used in the theory of light scattering.
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.
