where x is the radial distance from the centre of the antenna. This taper results in an expression for the collection efficiency given by: The parameters used are defined as follows: Equation (2) is used by the simulation to calculate the collection efficiency for any combination of antenna radius, rectenna radius, transmission range, and operating frequency. The program uses the IMSL subroutine MMBSJN to calculate the Bessel functions and the IMSL subroutine QDAGS to numerically carry out the integration. A plot of the collection efficiency is shown in Fig. 2. The efficiency approaches 98% for values of U! greater than 4.7.
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