Since 1978
Published in Sarov (Arzamas-16), Nizhegorodskaya oblast

RUSSIAN FEDERAL
NUCLEAR CENTER -
ALL-RUSSIAN RESEARCH INSTITUTE
OF EXPERIMENTAL PHYSICS
 
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AN EXACT SOLUTION FOR A SYSTEM OF SPECTRAL RADIANT ENERGY TRANSPORT EQUATIONS

A. A. Shestakov
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1988. Вып.2. С. 40-43.

      The paper considers exact continuous running-wave-type solutions of a spectral equation for radiation-driven energy transport in a system consisting of different materials. Running-wave-type exact solutions, discontinuous in temperature, for a joint system of energy and monochromatic radiation transport equations were derived earlier. This paper examines kinetic, P1-and diffusion approximations to a spectral radiation transport equation with respect to isotropic scat tering.
      The exact solutions obtained may be used to improve difference methods.



NUMERICAL SIMULATION OF WAVE FRONT CONVERSION FOR ANDELSCHTAMM-BRILLOUIN SCATTERING IN FOCUSED BEAMS

Yu. F. Kiryanov, G. G. Kochemasov, N. V. Maslov, I. V. Shestakova
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1988. Вып.2. С. 72-77.

      We describe the conversion of coordinate and function systems where Hermitian-Gaussian mode envelope in laser radiation does not change in the propagation direction. Numerical integration uses a finite-difference scheme with improved dispersion properties. The accuracy of Stokes wave calculations is analyzed for a given pumping wave. For divergence slightly exceeding the limit 1 ≤ θL / θD ≤ 10 in focused beams wave front conversion accuracy is theoretically calculated in the presence of forced Mandelschtamm-Bri1louin scattering.










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