近年来，人们对特殊波束的研究表现出浓厚的兴趣。Bessel-Gauss波束因拥有许多新颖特性，如主瓣尺寸小、强度高、焦深长等，在毫米波段/亚毫米波段可望用于测量、成像、通信及远距离电磁聚束传输等。本项目首先研究毫米波段/亚毫米波段Bessel-Gauss波束的物理实现方法，提出并优化设计一至两种高效高质量地产生Bessel-Gauss波束的谐振腔，分析腔内电磁场分布，加工测试其性能。接着拟采用严格的电磁计算方法，分析几种新型轴棱锥所产生的Bessel-Gauss波束的自重建、自成像特性，总结其特性规律。最后重点研究Bessel-Gauss波束用于毫米波段/亚毫米波段低损耗材料复介电常数测量，研制和构建一套Ka波段Bessel-Gauss谐振腔自动测试系统，推导出该系统用于平面材料和非平面材料复介电常数测量时的理论公式，阐述测量原理，并进行测试理论的实验验证。

Recently studying on especial beams has drawn increasingly interest. Bessel-Gauss beams have many novel properties, such as small central spot diameter, high intensity and long depth of field. Therefore, at millimeter wavebands and sub-millimeter wavebands, Bessel-Gauss beams may be useful in measurement, imaging, communication and realization of remote bunching propagation of electromagnetic energy in space. In this project the generation of Bessel-Gauss beams at millimeter and sub- millimeter wavelengths is firstly investigated. One or two kinds of cavities for producing high-quality Bessel-Gauss beams efficiently are proposed and designed optimally. The electromagnetic fields in the designed resonators are analyzed, and the fabrication and test their performances are carried out. Then the self-construction and self-imaging abilities of Bessel-Gauss beams, which are generated by several novel axicons, are analyzed by using the rigorous electromagnetic method. And their conclusions are drawn. Last, permittivity measurement of low-loss material at millimeter and sub-millimeter wavebands using Bessel-Gauss beams are studied detailedly. A Bessel-Gauss resonator automatic test system at Ka band is manufactured and constructed. The measuring formulas for such system, when it uses to measure the planar and non-planar samples, have been derived. The description and experimental verification of the measuring theory is done.