HIGHER-ORDER STRUCTURAL CONSTRAINTS FOR IMPROVED OPTIMIZATION OF NONUNIFORM HELICAL ANTENNAS
Abstract
The objective is to improve the linear constraints for optimizing the helical structure (radius and pitch of the conductor winding) of nonuniform helical antennas for desired characteristics such as signal gain or bandwidth. Presented below are equations that allow various higher-order structural constraints to be used in such optimizations. Their efficacy is demonstrated by analogy, using data for a fully optimized Yagi-Uda antenna, before being applied to data available for helical designs. The comparisons confirm the general validity of the higher-order equations to model some of the most advanced antennas produced to date. A simple calculus-of-variations test confirms that an improved optimization is possible by adding curvature terms to previously published linear constraints.
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