## List of problems for future research in generalized Lorenz–Mie theories and related topics, review and prospectus [Invited]

Applied Optics, Vol. 52, Issue 5, pp. 897-916 (2013)

http://dx.doi.org/10.1364/AO.52.000897

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### Abstract

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

**OCIS Codes**

(260.2110) Physical optics : Electromagnetic optics

(290.4020) Scattering : Mie theory

(140.3295) Lasers and laser optics : Laser beam characterization

**ToC Category:**

Scattering

**History**

Original Manuscript: August 14, 2012

Manuscript Accepted: September 21, 2012

Published: February 6, 2013

**Virtual Issues**

(2013) *Advances in Optics and Photonics*

Vol. 8, Iss. 3 *Virtual Journal for Biomedical Optics*

**Citation**

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)

http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-52-5-897

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