The expression “generalized Lorenz–Mie theories” generically denotes a class of light-scattering theories describing the interaction between an illuminating electromagnetic arbitrary-shaped beam and a particle possessing a high degree of symmetry. This allows one to use the method of separation of variables in which the illuminating beam is expressed as an expansion over a set of basis functions. Such theories have been derived and applied over the past 35 years. Although, as a whole, these theories are now well developed, there remains a list of problems to be solved, some of which are described in this paper.
© 2013 Optical Society of America
Original Manuscript: August 14, 2012
Manuscript Accepted: September 21, 2012
Published: February 6, 2013
Gérard Gouesbet and James A. Lock, "List of problems for future research in generalized Lorenz–Mie theories and related topics, review and prospectus [Invited]," Appl. Opt. 52, 897-916 (2013)