In this approximation, the electron and ion continuity and momentum equation and the electron energy equation are used to obtain a relation between and . The previous expression for is used to obtain 2 Here is in meters and F in . Thus F = 94 W/m for a wavelength of 100 m. If the MPTS is designed for a flux of , then the instability may be excited for wavelengths greater than about 70 m. Although the theory as developed is not valid for angles between 89. 7 and 90 degrees, the threshold field can be expected to remain constant within this cone of angles since the conductivity along the Y-direction will be nearly constant with the small value characteristic of thermal conduction across the magnetic field. We conclude that field-aligned striations are likely to develop with rf energy fluxes on the order of those planned for the MPTS. Some further study will be required to determine the in depth effect of these instabilities. Since the wavelength of the perturbation is greater than 70 m, the effects on the upward link of the control loop is expected to be small. The most likely effect is that field-aligned structure will develop in a similar fashion to the
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