Conceptual design of a mirror reactor for a fusion engineering research facility (FERF)

Abstract

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Progress on the conceptual design of a mirror hybrid fusion--fission reactor

“…The radial density variation at the midplnne n(r) is assumed to be of the form (5)(6)(7)(8) n(r) = n 0 (l -r 3 /r£> This radial variation is consistent with the trapping calculations below. How ever, the axial variation of density shows considerable peat'" ."…”

“…We calculate the current that penetrates to and is trapped on a field line by com puting f(x), the fraction of the injected beam that penetrates a distance x into the plasma, where f(x) is given approximately by f(x) = exp {*£-}• (5)(6)(7)(8)(9) T is the "attenuation thickness" >X 10 5-3 (T = 3, 5 X 10 15 cm" 2 here) calculated by…”

“…We numerically evaluated these integrals using the radial density variation from Eq. (5)(6)(7)(8) gives the values of the various parameters used to evaluate the integrals, including the ranges in radius represented by each of the three field lines. Notice that by using the Moir-Taylor calculations and Eq.…”

“…Magnetic field strength is also the determining factor for the adiabatic be havior of the various ions. The condition 5-7 for adiabatic confinement is usually assumed to be i an TS at < t- (5)(6)(7)(8)(9)(10) for transverse and longitudinal motion, respectively, v, and vi are corresponding velocity components. Because 3 is large (S = 0.…”

“…8), the radial variation dominates and the condition becomes Mv 4 § = = 9 cm . (5)(6)(7)(8)(9)(10)(11) where H ~ ZeB/M is the cyclotron frequency, and N « 20 is a dimensionless parameter. We examined the restrictions that this inequality places on both the radial and the longitudinal motion of the ions.…”