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screen supply if the backstreaming current becomes large The ion beam is current neutralized and quasi-neutral (nearly equal ion and electron densities) by the electrons extracted from the neutralizer cathode Fortunately, the thruster self-biases the neutralizer common potential sufficiently negative relative to the beam potential to produce the required number of electrons to current neutralize the beam Figure 5-3 showed a generic thruster that includes a three-grid accelerator system, where a final grid called the decel grid is placed downstream of the accel grid This grid shields the accel grid from ion bombardment by chargeexchanged ions produced in the beam backflowing toward the thruster, and eliminates the downstream pits-and-grooves erosion that will be discussed in Section 56 Three-grid systems then potentially have longer accel grid life than two grid systems and generate less sputtered material into the plume that can deposit on the spacecraft.

in his book Electromagnetic Radiation from Cylindrical Structures. The cone solution is found in, for example, [Bailin and Silver 1956, 1957, Pridemore-Brown and Stewart 1972, Hansen 1981a], and the sphere solution is found in, for example, [Karr 1951, Wait 1956b, Mushiake and Webster 1957, Belkina and Wainstein 1957]. See also [Zakharyev et al. 1970], in which the radiation patterns of spherical antennas are calculated with a modal solution. A simplification of the modal solution for structures with a rotational symmetry axis is to reduce the three-dimensional problem to a spectrum of two-dimensional problems by applying a Fourier transformation with respect to the symmetry axis, as described by R. F. Harrington [Harrington 1961]. However, if the geometry is more complex, a modal analysis is very difficult if not impossible to obtain. The modal solution is complicated, and it has poor convergence if the size of the geometry is increased (in terms of wavelength). Hence, the process of extracting numerical results can be difficult and time-consuming. Nevertheless, the modal solution is the basic building block for obtaining analytical expressions of the field in the presence of a curved surface. We will, therefore, derive explicit expressions for the fields in the presence of a circular cylinder, which will be used later in this book. This is done following the approach presented by Harrington [Harrington 1961].

These benefits are offset by the increased complexity of including the third grid In actual design, the diameter of each accel grid aperture is minimized to retain unionized neutral gas in the plasma generator, and the screen grid transparency is maximized so that that the grids extract the maximum possible number of ions from the plasma, The electrode diameters and spacing are then optimized to eliminate direct interception of the beam ions on the accel grid, which would cause rapid erosion due to the high ion energy A schematic example of a threegrid system showing the ion trajectories calculated by a two-dimensional (2-D) ion optics code [4]is shown in Fig 5-4The ions are focused sufficiently by this electrode design to pass through the accel grid without direct interception.

90th percentile delay (s)

On the downstream side of the accel grid, the negative accel-grid bias applied to avoid electron backstreaming results in a relatively small deceleration of the ions before they enter the quasi-neutral beam potential region This high transparency, strong accel-decel geometry typical of ion thrusters results in some beamlet divergence, as suggested by the figure However, this small beamlet angular divergence of typically a few degrees causes negligible thrust lost because the loss scales as cose, and because most of the beam divergence discussed in 2 related to the thrust correction factor is due to the dishing of the grids The amount of current that an ion accelerator can extract and focus into a beam for a given applied voltage is related to the space-charge effects characterized by the Child-Langmuir equation and is called the perveance:.

The Row/Column selector shows only the rows and columns for one frameset at a time. Therefore, if your design uses nested framesets, you won t see an exact duplicate of your entire Web page in the Row/Column selector.

Even if you have never performed a sort in a database program before, you have probably done so in Finder windows. Open any folder from the Desktop and choose View As List ( +2). You can sort the folder s contents by any column heading, as explained in Figure 10-1.