Abstract
We analyze the off-axial aberrations of a slightly inclined Gaussian beam in a thin radial graded-index (GRIN) lens. We assume that the endfaces of the lens are flat and the aperture stop is generally not in contact with the lens surface. First we formulate the diffraction of a complex-source-point spherical wave through a thin GRIN lens, while the terms of up to fourth order in aperture variables are taken into account. Then we find a ray-optical solution to the diffracted beam which is represented in terms of aberration coefficients of the Seidel type. Finally we evaluate the effect of off-axial aberrations on the quality of the diffracted Gaussian beam. The quality of an oblique Gaussian beam is much degraded by increasing the angle of inclination (or the spot size) of the beam and taking the aperture stop out of the lens surface.
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