Abstract
The vector Maxwell equations for the first-and second-harmonic planar beams are solved with allowance made for the nonlinear diffraction that weakens quadratic nonlinearity. The structure of the transverse and longitudinal components of the electromagnetic field of a parametric soliton is calculated for different values of the wave vector and phase mismatch. Exact analytic expressions are obtained for the self-similar profiles of extremally narrow solitons, and it is shown that the width has a fundamental limit of the order of a wavelength in a linear medium.
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Translated from Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 72, No. 10, 2000, pp. 711–716.
Original Russian Text Copyright © 2000 by Pimenov, Sukhorukov, Torner.
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Pimenov, A.V., Sukhorukov, A.P. & Torner, L. Ultranarrow optical beams in quadratically nonlinear media. Jetp Lett. 72, 495–498 (2000). https://doi.org/10.1134/1.1343150
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DOI: https://doi.org/10.1134/1.1343150