Explicit solutions of the inhomogeneous paraxial wave equation in a linear and quadratic approximation are applied to wave fields with invariant features, such as oscillating laser beams in a parabolic waveguide and spiral light beams in varying media. A similar effect of superfocusing of particle beams in a thin monocrystal film, harmonic oscillations of cold trapped atoms, and motion in magnetic field are also mentioned.
- Spiral Laser Beams in Inhomogeneous Media
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Alex Mahalov, Erwin Suazo, and Sergei K. Suslov, "Spiral laser beams in inhomogeneous media," Opt. Lett. 38, 2763-2766 (2013) http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-38-15-2763