Abstract
In optical data transmission, among the information carriers of special interest are laser beams, whose shape does not change on propagation in free space and in a homogeneous medium. In this work, we study a continuous superposition of paraxial propagation-invariant off-axis Gaussian beams. We obtain conditions when this superposition yields an offaxis elliptic beam with a given geometric parameters (center displacement, waist radii, tilt angle), which conserves its shape on propagation and rotates around the optical axis. Properties are derived of the normalized-to-power orbital angular momentum of such beams.
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