TABLE 5 Power Densities at the Center of the Transmitter and Receiver. TABLE 6 Comparison of Selected Gaussian and Optimum Radii and Costs. softer and will be determined by the materials available for heat dissipation when the actual design is underway some years from now. Some comparisions with Gaussian distributions In Appendix A, calculations of the radii of the ground and transmitting antennas for two typical taper ratios have been carried out for the truncated Gaussian distribution. The costs per unit ground antenna cost have also been computed. A comparison of the radii and costs of the Gaussian distribution with the corresponding values for the optimum distribution is shown in Table 6. It will be noticed in this table that the differences in cost between the Gaussian and the optimum distribution run from a low of 3.0% to a high of 14.3%. Using essentially the same cost ratios but with somewhat different values for some of the parameters, differences between the two distribution costs have ranged as high as 50%. As a final comparison between a Gaussian distribution and the optimum distribution, a nondimensional plot for /3 = .95 is shown in Figure 3. These plots all start with pM/PiW = 1 and end with r/Rx = 1. When put in dimensional form, the differences are even more apparent.
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