A theory is presented for the detailed formulation of the nonlinear optics of laser beams endowed with orbital angular momentum. Following an introductory excursion into the general principles of such twisted beams, a quantum electrodynamical formulation is developed for representing the photonics of their interaction with matter. Detailed results are given for Laguerreï¿½Gaussian beams in the large-Rayleigh-range limit. Utilization of the theory in nonlinear optics is illustrated by application to second-harmonic generation.
|Number of pages||7|
|Journal||Journal of Optics B: Quantum and Semiclassical Optics|
|Publication status||Published - 19 Mar 2002|