The Hankel transform allows the ground microwave pattern to be found for radially symmetric antenna tapers, though a computer technique is usually required to accomplish the integration. Analytical attempts to solve the optimal SPS power transfer problem have so far had only limited success because of the difficulty of analytical integration (7). Expression 4 can be simplified by formulating the antenna taper as an even-powered polynomial series: where u = yRTru (argument of the Jo Bessel function), N„ = number of terms in a series approximation for Jn, where a series expression for the Bessel function has been used which is exact only for This expression is straightforward for a computer evaluation giving the ground microwave power density as a function of parameters AX-AN rH, and RT.
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