Vol. 3, issue 08, article # 10

pdf Sukhorukov A. P., Shumilov E. N. Calculation of nonlinear aberration during thermal blooming of wave beams. // Atmospheric and oceanic optics. 1990. V. 3. No. 08. P. 781-788.
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Based on the transfer equation for the intensity and the parabolic equation for the eikonal, a system of ordinary differential equations is obtained which describe the stationary propagation of axially symmetric light beams in media with an arbitrary nonlinearity under conditions of aberrational distortion of any prescribed order. Using the found recursion formulas relating the coefficients of series expansions over basic elementary functions of infinite series, the obtained system of equations is adapted for describing the wave aberrations up to the sixth order that occur during the propagation of Gaussian beams through media with a cubic nonlinearity and under conditions of thermal blooming. An analysis is carried out of the integrals of motion of the medium and of the differential equations themselves.


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