The role of the source geometry in the radiation of focusing beams by conformal antennas is examined by the comparison of their directivity functions at different maximum directions. An inverse source problem approach is adopted, where solutions stable with respect to data uncertainties are to be found by relying on the analysis of the pertinent operator by the Singular Values Decomposition. This general framework allows to connect the mean value of the maximum directivity function to the Number of Degrees of Freedom of the conformal source, which depends only on its electrical length. For each source geometry the focusing far field ensuring the maximum directivity for every pointing direction and the corresponding source current are obtained. The comparison with the ones achieved by the usual phase compensation technique of the source current reveals their optimal behavior. The usefulness of the approach as a tool in antenna synthesis is shown by comparing different geometries for those applications where identical beams are required to be radiated for the coverage of a large angular domain.

中文翻译：

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保形源高指向性光束的场综合

通过比较它们在不同最大方向上的方向性函数，可以检验源几何形状在共形天线辐射聚焦束的辐射中的作用。采用了一种反源问题方法，其中将依靠奇异值分解对相关算子的分析来找到相对于数据不确定性稳定的解决方案。该通用框架允许将最大方向性函数的平均值与共形源的自由度数相联系，后者仅取决于其电气长度。对于每种源几何形状，可以获得确保每个指向方向的最大方向性的聚焦远场和相应的源电流。与通过源电流的常规相位补偿技术所获得的结果进行比较，可以看出它们的最佳性能。通过比较那些需要辐射相同波束以覆盖大角域的应用的不同几何形状，显示了该方法作为天线综合工具的有用性。