對面天線分析中雅可比-貝塞爾級數(shù)方法的進一步研究
A FURTHER RESEARCH ON THE JACOBI-BESSEL SERIES METHOD IN ANALYSIS OF REFLECTOR ANTENNA
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摘要: 在密特拉(R.Mittra)等作者(1979)對圓投影口徑面天線所做工作的基礎(chǔ)上,本文利用修正的雅可比多項式的獨特遞推關(guān)系,將面天線分析中的雅可比-貝塞爾級數(shù)方法推廣到橢圓投影口徑拋物面天線的遠區(qū)場計算中。同時導(dǎo)出了級數(shù)展開系數(shù)pBmn的一層新的部分遞推關(guān)系,使數(shù)值積分所用機時降低為原來的三分之一左右。
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關(guān)鍵詞:
Abstract: Based on the work on reflector antenna with circularly projected aperture accomplished by E. Mittra and others (1979), this paper extends the Jacobi-Bessel series method in analysis of reflector antenna to the area where far-field of paraboloid reflector with elliptically projected aperture can be evaluated by using the unique recurrence relatio ns of modified Jacobi polynomials. Meanwhile, a new kind of partial recurrence relations of the series expasion coefficients pBmn is deduced so that whole CPU time for numerical integration can be saved about three times. -
R. Mittra, et al., IEEE Trans. on AP, AP-27(1979), 294.[2]I. S. Granshteyn, et al., Table of Integrals, Series and Products, Academic Press, Inc., New York,1980.[3]Yahya Rahmat-Samii, et al., IEEE Trans. on AP, AP-28(1980), 425.[4]C. C. Hung, et al., ibid., AP-31(1983), 756.[5]O. M. Bucci, et al., ibid., AP-29(1981), 580. -
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