[1]高羡明,任晓松,牛金召,等.基于多孔结构的龙伯透镜微观结构融合技术[J].中国材料进展,2025,44(05):482-491.[doi:10.7502/j.issn.1674-3962.202407006]
　GAO Xianming,REN Xiaosong,NIU Jinzhao,et al.Luneburg Lens Mixed Microstructure Fusion Technology Based on the Porous Structure[J].MATERIALS CHINA,2025,44(05):482-491.[doi:10.7502/j.issn.1674-3962.202407006]
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基于多孔结构的龙伯透镜微观结构融合技术()

中国材料进展[ISSN:1674-3962/CN:61-1473/TG]

卷:
44
期数:
2025年05
页码:
482-491
栏目:
出版日期:
2025-05-30

文章信息/Info

Title:
Luneburg Lens Mixed Microstructure Fusion Technology Based on the Porous Structure
文章编号:
1674-3962(2025)05-0482-10
作者:
高羡明; 任晓松; 牛金召; 卢少辉; 张衍龙
陕西科技大学机电工程学院，陕西 西安 710021
Author(s):
GAO Xianming; REN Xiaosong; NIU Jinzhao; LU Shaohui ; ZHANG Yanlong
College of Mechanical and Electrical Engineering, Shaanxi University of Science & Technology,Xi’an 710021, China
关键词:
龙伯透镜; 轻量化; 混合结构; 局部插值; 水平集函数; S参数反演法
Keywords:
Luneburg lens;  lightweight;  mixed structure;  local interpolation; level set function;  S-parameter inversion method
分类号:
TN821+.5
DOI:
10.7502/j.issn.1674-3962.202407006
文献标志码:
A
摘要:
针对龙伯透镜天线的结构轻量化问题，提出一种融合不同类型（P型和I-WP型）的混合结构的龙伯透镜设计。首先对P型和I-WP型多孔结构的水平集函数进行并集布尔运算，建立混合结构的模型，利用局部插值原理保证梯度结构连续性；基于S参数反演法计算基础多孔结构的等效介电常数，并分析混合结构不同体积分数占比对介电常数的映射规律；通过离散法进行基于基础多孔结构以及混合结构的龙伯透镜的设计，并利用3D打印技术制备3种不同结构的龙伯透镜天线。在CST软件中和微波暗室内对不同结构的龙伯透镜的焦距进行仿真和试验，选取标准增益喇叭进行馈电，在焦距为10 mm处3种龙伯透镜的增益均达到最大值，试验结果与仿真结果基本吻合。混合结构型龙伯透镜在达到电磁性能的同时在轻量化方面具有优势，其体积分数相比 I-WP型减少 19.86%，相比 P 型减少3.81%，并且提高馈源增益约13 dBi，并且对馈源所发出的电磁波具有良好的汇聚效果。以上研究可为其他类型龙伯透镜天线的轻量化设计提供理论与技术参考。
Abstract:
Aiming at the lightweight structure of Luneburg lens antenna, a mixed structure Luneburg lens design integrated with P-type and I-WP type porous structures is proposed. Firstly, by union Boolean operating of the level set function of P-type and I-WP type porous structures, the mixed structure model is established, and the local interpolation principle is used to ensure the continuity of gradient structure and eliminate the mutation caused by discontinuity. The equivalent permittivity of the basic porous structure is calculated based on the S-parameter inversion method, and the mapping law of the permittivity of the mixed structure with different volume fraction ratio is analyzed. Then the basic porous structure and mixed structure Luneburg lens are designed by discrete method, and three different Luneburg lens antennas are manufactured by 3D printing technology. The focal lengths of Luneburg lenses with different structures are simulated and tested in CST software and in the microwave dark room, and the standard gain horn is selected to feed the lenses. When the focal length is 10 mm, the gains of Luneburg lenses reach the maximum value, and the experimental results are basically consistent with the simulation results. The mixed structure type Luneburg lens has the advantage of light weight while achieving the electromagnetic performance, it reduces the volume fraction by 19.86% compared with the I-WP type and 3.81% compared with the P type, improves the gain of the feed source by about 13 dBi, and has a good convergence effect on the electromagnetic wave emitted by the feed source. The above research may provide theoretical and technical reference for the lightweight design of other types of Luneburg lens antennas.

备注/Memo

备注/Memo:
收稿日期：2024-07-14修回日期：2025-02-19 基金项目：国家自然科学基金青年科学基金项目(51905328) 第一作者：高羡明，男，1984年生，讲师， Email:gaoxianming@sust.edu.cn
更新日期/Last Update: 2025-04-27