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Article Dans Une Revue Optik Année : 2019

About the validity of the parabolic approximation in Kerr lensing effect

Résumé

The usual parabolic approximation used for modelling the focusing properties of a Kerr lens induced by a Gaussian laser beam, through optical Kerr effect, consists to roughly approximate a Gaussian profile by a parabola. The Kerr focal length deduced from the ABCD formalism is found to not correctly provide the focal plane position. The latter has been numerically determined from a numerical diffraction analysis, and we have empirically found that the right focal length is obtained by multiplying, by a factor equal to 3, the focal length given by the usual parabolic approximation. The expression of the focal length associated with the Kerr lens that we have obtained is in a good agreement with the expression of the focal length determined on the basis of a Zernike decomposition. In addition, it is demonstrated that the emerging beam from the Kerr lens is no longer Gaussian since its propagation factor M2 is larger than unity. It is found that the M2 factor increases linearly with the on axis phase shift.
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hal-03484528 , version 1 (20-12-2021)

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Paternité - Pas d'utilisation commerciale

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A. Hasnaoui, M. Fromager, K. Ait-Ameur. About the validity of the parabolic approximation in Kerr lensing effect. Optik, 2019, 193, pp.162986 -. ⟨10.1016/j.ijleo.2019.162986⟩. ⟨hal-03484528⟩
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