Decentered Gaussian beams

Abstract

A generalization of the Gaussian beam is obtained by introducing a complex-valued shift in the transverse dimension. The resulting beam has a Gaussian intensity distribution with width varying as an ordinary Gaussian beam, but whose peak traces an inclined linear trajectory. The wave fronts are displaced laterally in a sheared fashion. This generalized beam preserves its form after passing through arbitrary paraxial optical components, even if they are decentered. The peak-intensity line is modified by such systems as if it were a ray.

Incoherent combination of fiber lasers using a collimating and focusing optical system in fiber-based laser fusion

“…E m is actually the decentered Gaussian beam described in [14,15]. Thus, the intensity of the mth laser beam at the plane z = z T can be expressed as:…”

Extending cavity-enhanced high-harmonic generation with Bessel-Gauss beams

“…6,7 Decentered Gaussian beams are exact solutions to the paraxial wave equation that closely resemble normal Gaussian beams whose propagation direction is tilted with respect to the optical axis. 8 If we consider a family of many such decentered beams that all have the same tilt, we see that the propagation directions lie on the surface of a cone. Superposing these beams yields the Bessel-Gauss beam.…”

Fractional Fourier transform for off-axis dark-hollow beams

“…While in most of the previous literature on, the FRT for laser beams the laser beams have assumed to be on-axis, in most practical cases, the beams are off-axis. In the past several years, the propagation properties of off-axis beams have been widely studied [17][18][19][20][21]. Recently, Zheng has studied the FRT for off-axis Gaussian schell-model beams [22].…”