The neo-classical flux, rn .c , of Fe XXIII is calculated for the experimental conditions produced in PLT by using the data an the iron density profiles and the plasma parameters. The actual flux of Fe XXIII, rc .e , is then evaluated fron the continuity equation, by using the same data. is an the average two orders of magnitude larger than P n .c , the r e .e neo-classical prediction. These results are further tested by introducing the neo-classical coefficients 'uhich are multiplied by various anomaly factors into the continuity equation and solving for the density profile of Fe XXIII, using the experimental profiles of Fe XXII and Fe XXIV as given. The resuits of this sectim indicate that the firnt and the second Germs in the neo-classical flux expression, P n .c =-D I (dn/dr) + D 2 n, should be multiplied approximately by the factors (100) and (25), respectively in order to yield the experimentally observed profile of Fe XXIII. Furthermore, a sensitivity analysis is performed to investigate the dependence of the value of the flux, rc .e, an the uncertainties in the rate coefficients. This dependence is found to be quite sensitive. Uncertainties of a facto, : of two in these coefficients couid yield radially inward or outward fluxes, which are by orders of magnitude larger than the flux computed without uncertainty factors .
In this work, the ion-matrix sheath near a target with a rectangular groove is studied analytically. A two-dimensional model with a single groove is adopted. The potential and electric-field profiles within the groove are analyzed to provide insight regarding the uniformity and efficiency of ion implantation on its walls. The deviation of the sheath edge from the planar geometry is also illustrated.
The dispersion relations of transverse and longitudinal modes in an electromagnetically pumped free-electron laser with an axial guide field are derived exactly, for the one-dimensional case. The modes with positive and negative helicity are distinguished clearly. Analytic expressions for the growth rate, frequency, and wavelength of the modes, in resonance with the beam are obtained in terms of the system parameters. The dependence of the growth rate on these parameters is illustrated for a broad range of values.
The ion distribution function is analytically studied in mirror machines with perpendicular injection. A uniform model is considered by assuming a square-well configuration for the magnetic field. The existence of the mirrors and the consequent electrostatic potential are represented by related boundary conditions on the ion distribution function. The Vlasov-Boltzmann equation is written with the explicit expressions for the charge exchange, electron impact ionization, ion-electron collision processes and solved for the steady state. The justification for neglecting the ion-ion collisions is provided.
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