TABLE 2 Optimum Radii and Minimum Cost for Two Cost Ratios. Fig. 2. Nondimensional optimum power density functions for various fractions of power collected. The optimum distribution function and taper ratios Although the radii and minimum cost can be calculated with no knowledge of what the distribution function is, all the remaining quantities of interest require a detailed knowledge of this function. In nondimensional form the function is given by equation (59) and detailed computer runs have been tabulated for various values of (i. In Figure 2, we show this function pM/pfO) for four values of viz, = .91, .95, .97, and .99. For comparison purposes, it is of some interest to compute the taper ratios of the antenna for these values of /3. The taper ratios are shown in Table 3. To obtain the actual distribution function from the nondimensional one, we need the density at the center of the transmitter p^O). This is given in equation (58). Rearranging, we write The function <// depends only on the fraction of power collected: = i//(/3). The
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