15 research outputs found
Laguerre-Gaussian wave propagation in parabolic media
We report a new set of Laguerre-Gaussian wave-packets that propagate with
periodical self-focusing and finite beam width in weakly guiding inhomogeneous
media. These wave-packets are solutions to the paraxial form of the wave
equation for a medium with parabolic refractive index. The beam width is
defined as a solution of the Ermakov equation associated to the harmonic
oscillator, so its amplitude is modulated by the strength of the medium
inhomogeneity. The conventional Laguerre-Gaussian modes, available for
homogenous media, are recovered as a particular case.Comment: 11 pages, 5 figure