Of interest would be the mean power density on axis at the receiver, the mean sidelobe level, variance of the sidelobe envelope, and variance of the main lobe from its intended direction. All these effects could be determined using the above procedure but extensive computational effort, would be required. Fortunately, analytical models for these statistics have been developed (references 16-21) which offer straight forward computational alternatives provided one is willing to accept the inaccuracies of attendent approximations. These inaccuracies have been addressed in a qualitative sense by comparison with actual antenna patterns (reference 16) and Monte Carlo simulations (reference 21). These qualitative results indicate the errors involved to be of little significance at this point of the MPTS concept. Accordingly, these models have been appropriately modified where necessary and used to determine estimates of the aforementioned statistics. Degradation of the Main Lobe and Sidelobe Envelope If one were to imagine that a particular transmitter, having a particular amplitude and phase distribution, was one of many that could have been constructed, then the expected power pattern at the receiver could be computed by taking the average of all the possible radiation patterns at the receiver. Such analyses have been done by others which include both amplitude and phase error effects (references 16-18). The results are directly applicable to the microwave power transmission system in question provided
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