A truncated Gaussian amplitude distribution with uniform phase distribution is a satisfactory approximation to the ideal prolate wave functions. Figures 6-3 through 6-6 show the pattern and sidelobe characteristics for various amplitude tapers. These are obtained from the following relations: Results are now plotted against the parameter A comparison of characteristics for an assumed 1 km diameter transmitting antenna in synchronous orbit is given in Figure 6-7, where it can be seen that the greater taper provides greater efficiency for a given receiving antenna diameter. It also is evident that the scale of the MPTS will be on the order of 1 km for the transmitting antenna and 10 km for the receiving antenna for acceptable efficiencies.
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