Deformation of the spot of an off-axis Gaussian beam after passing through a lens-like glass fiber (SELFOC®) with the fourth-order aberration is investigated by using first-order perturbation theory and numerical calculation. A method for determining the coefficient of the fourth-order aberration is proposed. By this method, it is found that a SELFOC sample (0.5 mm in diameter and 150 mm in length) has a coefficienthof about 1.1, if the dielectric constant in the meridional plane of the sample is expressed asε(x) = ε(0) (1 - g²x² + hg⁴x⁴), wherexis the distance from the axis of the medium andgis a positive constant.
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Kitano et al. (1973) studied this question.
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