Vol. 3, issue 08, article # 10

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.    PDF
Copy the reference to clipboard

Abstract:

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.

References:

1. V.N. Lugovoi and A.M. Prokhorov, Usp. Fiz. Nauk 111, No. 2, 203 (1973).
2. J.H. Marburger, Self-Focusing: Theory. In the series Progress in Quantum Electronics, Vol. 4, 35 (1975).
3. S.A. Akhmanov, A.P. Sukhorukov, and R.V. Khokhlov, Usp. Fiz. Nauk 93, No. 1, 19 (1967).
4. V.N. Lugovoi, Dokl. Akad. Nauk SSSR 176, No. 1, 58 (1967).
5. S.V. Ivanov, A.P. Sukhorukov, and E.N. Shumilov, in: Abstracts of Reports at the Second Conference on Atmospheric Optics, Tomsk Affiliate, Siberian Branch of the Academy of Sciences of the USSR, Institute of Atmospheric Optics, 1980, pp. 214–-217.
6. M.B. Vinogradova, O.V. Rudenko, and A.P. Sukhorukov, Theory of Waves (Nauka, Moscow, 1979).
7. A.P. Sukhorukov, S.Ya. Fel’d, A.M. Khachatryan, and E.N. Shumilov, Kvantovaya Elektron. No. 8, 53 (1972).