椭圆函数变换的一个应用
An Application of Elliptic Function Transformation
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摘要: 本文利用椭圆函数变换t=sn(u jv,k)中v=K′(k)/2的特殊性,首先导出了同轴带状线的严格解;而后通过研究垂直带状线和普通带状线的中值等位线与椭圆的差异得到了平行板间椭圆柱问题及外椭圆内带问题的近似解。这些近似解比已有的解要简单得多且有相当的精度。Abstract: Making use of the property of elliptic function transformation t=sn (u jv, k) at v=K'(k)/2, we obtain the exact solution of coaxial stripline, and approximate solutions of elliptical rod between parallel planes and strip in an ellipse by regarding the mid-equipotential lines in striplines as ellipses Compared with that in literature, they are much simpler ones with good accuracy.