Shape optimization for a rectangularly constrained small loop antenna

H. Mathis, P. Vontobel
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Abstract

The theoretical optimal shape of a small loop antenna within a rectangular area restriction is derived. Approaches with cut-off corners and rounded corners are proposed and optimal parameters (such as cut-off radius) are calculated. By means of the calculus of variation, a proof is given that the rounded-corner approach is indeed the optimal shape in terms of antenna efficiency if a simple model is assumed; the result is valid for any convex shape constraint.
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矩形约束小环形天线的形状优化
推导了矩形面积约束下小环形天线的理论最优形状。提出了截断角法和圆角法,并计算了截断半径等最优参数。利用变分法证明了在假设简单模型的情况下,圆角法确实是天线效率最优的形状;结果对任何凸形约束都是有效的。
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