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By B. L. Borovich, P. G. Grigor’ev, V. S. Zuev, V. B. Rozanov, A. V. Startsev (auth.), N. G. Basov (eds.)

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Additional resources for Lasers and Their Applications / Lazery I Ikh Primenenie / Лазеры И Их Применение

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This case has been discussed in detail for a thermonuclear plasma in which a homogeneous temperature distribution is achieved because of electronic heat conduction. In this case, the spatial distribution of the plasma is parabolic and the magnetic field increases linearly with the radius: P (r) = Po o __9_ P( )- 2 V2 00 (1 - ~;), Poc 2 E (QO%)2 N'/, ' (18) r2 = ( 2 V2 )'{' ~ ~ N'I, (p (0) c2 )'/, E'/,' (19) The formulas in Eq. (18) were first obtained in [25]. For an optically transparent discharge with a homogeneous temperature distribution, the plasma current is finite, as in the threedimensional emission case, and independent of Nand E [24] [the current is J o = v13poc 2 x (QoqOO"O)-1/2], and the plasma boundary is abrupt [this property differs from the three-dimensional emission case: see Eq.

8). Finally, a calculation based on Eq. 75). In this variant of a discharge the losses in the supply busbars and in the capacitor bank are even more important. 8 Fig. 25. Time dependences of the discharge current calculated for different values of the matching parameter q. " 1 ? B. L. BOROVICH ET AL. 25 Thus, we can see that a calculation based on Eq. (28) overestimates the value of the matching parameter and, consequently, the amount of energy supplied to a discharge. The discrepancy is particularly large in the case of short discharges.

Periodic perturbations in the plasma were generated by etching parts of the wire used for initiation. A check of the axial symmetry of the resultant constrictions was made by synchronous photography of the discharge from three sides. An analysiS of the resultant plasma oscillations was carried out as follows. Perturbations of the plasma surface at any given moment can be represented by a function r=ro+r(t, 9, z), where cp is the azimuthal angle; z is the coordinate along the discharge axis. The function ret, cp, z) can be expanded as a complex Fourier series for two variables, considering t as a parameter: 00 ret, cp, z)= ~ Cmn(t)ei(m'f'+nz).

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