tapers) has been considered, the work is useful, since this is a commonly-considered family. Furthermore, this family of tapers can be examined and intercompared simply by varying the parameter n in Equations 33 and 36, providing designers of wireless power transmission systems with a relatively easy means of performing tradeoff studies. Equations 33 and 55 eliminate the need for numerical integration routines for this family of beam tapers. FIGURE 2. Fraction of power enclosed within a given dimensionless distance from the center of the microwave beam. Obtained by plotting Fn(a) (equation 33, with n = 1, 2, 3, and 4) and FgOOd(a) (equation 55) parametrically as a function off, where a = iff /2. Fraction ofpower received can be thought of as reception efficiency and F can be thought of as the powerlink parameter DtDF(2h) discussed in Reference 2. Note: This paper is based on the Appendix from the author's doctoral dissertation, "Optimization of Microwave Power Transmission from Solar Power Satellites," New York University, Department of Applied Science, May 1993. References [1] Glaser, Peter E., 1968, "Power from the Sun: Its Future," Science, Volume 162, Number 3856, 22 November, pages 857-861. [2] Hoffert, M.I., Miller, G., Kadiramangalam M., and Ziegler, W., 1989, "Earth-to- Satellite Microwave Power Transmission," Journal of Propulsion and Power, Volume 5, Number 6, November-December, pages 750-758.
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