Abstract

The form of the off-axis Gaussian beam is constructed by solving the paraxial wave equation for a parabolic index medium. This construction is accomplished by reducing the problem to the solution of an Ermakov equation. It is shown that the dynamics of the system is comprised in, both, the beam width and the position of the center of the wavepacket, that are defined by the focusing properties of the material. The cases of on-axis behavior and propagation in a homogeneous medium are obtained as special cases.

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