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在本文中,作者提出了与线形天线阵辐射图形中零点相对应的复量多项式的根在复数面中单位圆上的一个分布函数,它比作者在前一篇论文中所提出的分布函数有更普遍的意义。这个普遍函数是:ψK=ψ0{1+ξK((ln(ψm/ψ0-1)-lnξ)/(ln m))}.当ψ0和ξ被适当地选择时,这个普遍函数所代表的天线阵将包括以下各式天线阵作为特例:(1)均匀横射式天线阵;(2)均匀端射式天线阵;(3)谢昆诺夫天线阵;(4)道尔夫-捷比谢夫天线阵当阵中单元数不超过7时。但是,应用所提出的分布函数并当合理地选择ψ0和ξ时,却可以改善以上各式天线阵,尤其在压小主瓣附近的旁瓣方面。这一情况是具有重大实用意义的。此外,因为天线阵中各单元的场强或其方向图中的旁瓣一般都随着离开主瓣的角距的增加而下降的,所以为了使天线阵的总方向图有均等或接近均等的小的旁瓣(这是具有实用意义的),就必须设计一个由均匀辐射器所组成的天线阵,它有随着离开主瓣的角距的增加而上升的小的旁瓣。利用谢昆诺夫的分布或道尔夫-捷比谢夫的分布都不能达到此目的,但是应用所提出的分布函数却可以办到。计算结果证实了上述各点。在本文中,作者还将代表各式天线阵的多项式的乘积形式加以展开,从而将其中的系数化为显式以便于阵中各单元上相对电流的计算。The present author suggests a new distribution function for the roots of the complex polynomial corresponding to the nulls of the radiation pattern of a linear antenna array on the unit circle in a complex plane which is more general than the one suggested by the same author in a previous paper. The new distribution function is of the form ψK=ψ0{1+ξK((ln(ψm/ψ0-1)-lnξ)/(ln m))}. When ψ0 and ξ are chosen properly, the suggested distribution includes the following distributions or arrays as special cases: (1) the uniform end-fire arrays; (2) the uniform broadside arrays; (3) the Schelkunoff's distribution in the range of ψ; (4) the Dolph-Tchebyscheff's distribution for number of elements not greater then seven. But the suggested distribution has the advantage of improving all of them, especially for the suppression of side-lobes near-by the main beam which is very important in certain practical applications.Moreover, since the primary patterns of many types of radiating elements fall off with increasing angle from the main maximum so that the wide-angle lobes would be at a lower level than those close to the main beam, it is necessary to design an array pattern in such a way so that the side-lobes should increase in magnetude with increase in angle from the position of the main beam in order to achieve an over-all pattern with side-lobes all equal or approximately equal in magnitude which is useful in many practical applications. Neither Schelkunoff's distribution in the range of ψ nor Dolph-Tchebyscheff's distribution meets this requirement but the suggested distribution does.In this paper, explicit expressions for the relative antenna currents have been put in closed forms convenient for calculation and semigraphical method has been used for all the pattern calculations.
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