High gain and circularly polarized substrate integrated waveguide cavity antenna array based on metasurface

Two substrate integrated waveguide (SIW) cavity antenna arrays based on metasurface are proposed in this paper. By rotating the metasurface element, circularly polarized and high gain antennas are achieved respectively. Firstly, multi-mode resonance theory is employed to broaden the bandwidth of the slot antenna. And then, an SIW cavity composed of 4×4 cornercut elements is added on the top of the slot antenna to achieve the circular polarization and improve the front-to-back ratio. Thirdly, the metasurface elements are sequentially rotated and a high gain antenna with 2-dBi enhancement on average in the operation band is obtained. Based on the two antenna units, two 2×2 antenna arrays are designed. The circularly polarized and high gain antenna arrays are both fabricated to verify the correctness. Furthermore, the novel wideband phase shifter is employed in the circularly polarized antenna to obtain an operating bandwidth of 38% (4.05 GHz-5.95 GHz) and AR bandwidth of 24.9% (4.4 GHz-5.65 GHz). The bandwidth of the high gain antenna can reach 42.7% (3.95 GHz-6.1 GHz) and with the gain enhancement of 2 dBi compared with that of the circularly polarized antenna. The gain remains steady in most of operating band within a variation of 1 dBi. It is remarkable that the rotating of the metasurface element has a great influence on the antenna performance, which provides a new explication for the multi-function antenna design.     

基于复合超构表面的宽带圆极化双功能器件设计

多功能器件的设计是推动新一代电磁系统发展的重要力量,而超构表面因其对电磁波的幅度、相位和极化等特性的灵活调控在多功能器件领域备受关注.传统的多功能超构表面是利用各向异性单元对相互正交的线极化波具有不同响应的特性,从而设计出适用于线极化的多功能器件.本文提出了一种缝隙加载的环I形复合超构表面单元,通过单元臂长和旋转角度的调整实现了对圆极化电磁波传输和几何相位的独立控制.利用上述两种相位的共同作用,打破了左旋和右旋圆极化电磁波操控中存在的固有关系,为圆极化双功能器件的设计提供了新的思路.在此基础上,利用复合超构表面分别设计了异面偏折器和定向/涡旋光束产生器,实验结果表明,本文设计的两种反射型圆极化双功能器件在9—13 GHz的宽频带范围内均能良好工作.     

Dual-band left-handed metamaterials fabricated by using tree-shaped fractal

<正>A method of fabricating dual-band left-handed metematerials(LHMs) is investigated numerically and experimentally by single-sided tree-like fractals.The resulting structure features multiband magnetic resonances and two electric resonances.By appropriately adjusting the dimensions,two left-handed(LH) bands with simultaneous negative permittivity and permeability are engineered and are validated by full-wave eigenmode analysis and measurement as well in the microwave frequency range.To study the multi-resonant mechanism in depth,the LHM is analysed from three different perspectives of field distribution analysis,circuit model analysis,and geometrical parameters evaluation.The derived formulae are consistent with all simulated results and resulting electromagnetic phenomena,indicating the effectiveness of the established theory.The method provides an alternative to the design of multi-band LHM and has the advantage of not requiring two individual resonant particles and electrically continuous wires,which in turn facilitates planar design and considerably simplifies the fabrication.     

评价数学学习效率需要注意的问题

提高数学教学效率目的在于提高学生的数学学习效率,某地区或某数学教师数学教学效率高低取决于该地区或该教师的学生数学学习效率高低.研究数学教学效率问题要重视对数学学习效率的研究.     

超声波辐射下固-液相转移催化法合成N-(α -萘乙酰基)-N'- 芳基硫脲化合物

利用超声波辐射固－液相转移催化法合成了十三种未见文献报道的N(α-萘乙酰基)-N'-芳基硫脲新化合物,并经IR,1^HNMR,13^CNMR和元素分析确定了它们的结构。初步考查它们对玉米生长的促进作用,初步生物活性实验结果表明所有合成的化合物在(0.1～10)×10^-6的浓度内对玉米的根部生长具有显著的促进作用,部分化合物对玉米的幼苗具有促生长作用。     

有关研究性学习的几个问题

近日收到几位国家级骨干教师参与的天津市教育学会“十五”规划课题——《数学探究式课题的设计与教学》近10万字的结题材料,笔者思绪万千,一方面感觉到我国广大一线教师太可敬了,尽管他们身负沉重的教学任务,但又投身到科研兴校的洪流中,主持和参与着具有时代价值的各项研究课题.他们的敬业精神与行为是我国取得令世人瞩目数学教     

一个不等式的修正

一个不等式的修正３０００７３天津师范大学王光明文［１］以反例否定了不等式，通过增加必要的限制条件，本文对此“不等式”予以修正．（这是因为ｘ≥［ｘ］，所以ｎ·（ｘ－［ｘ］）不可能为负值）．此时若令ｎ（ｘ－［ｘ］）＝ｋ＋ｂ，ｋ为整数，ｂ∈［０，１］，此时...     

发挥“数学应用”教学的多方面素质教育功能

素质教育要求数学教学要培养学生的数学应用能力，我们认为培养学生数学应用能力既是目的，也是手段，在培养学生的数学应用能力的过程中，还应努力挖掘其它的素质教育功能，充分发挥“数学应用”教学的多层次素质教育作用．１．在“数学应用”教学中培养学生的数学应用能...     

超图结构上合作博弈的赋权Position值

在合作博弈的一般模型中总是假设所有联盟都能形成。不过,在实际中由于受到一些因素的制约,有些联盟是不能形成的。基于此,Myerson提出了具有图通讯结构的合作博弈。Myerson值和Position值是超图博弈上的两个重要分配规则。2005年,Slikker给出了在图博弈上Position值的公理化刻画。但超图博弈上Position值的公理化刻画一直悬而未决。本文通过引入 “赋权平衡超边贡献公理”,并结合经典的“分支有效性”,提出了超图博弈上赋权Position值的公理化刻画。作为推论,解决了超图博弈上Position值的公理化刻画问题。     

超薄宽带平面聚焦超表面及其在高增益天线中的应用

针对相位梯度超表面在灵活操控电磁波与提高天线增益中的潜在应用,提出一种新型的宽带超表面单元,实现了在较宽频带范围内操控电磁波波前与提高天线增益.本文首先设计了一种圆环十字形对称单元来控制反射波的相移量,单元厚度为1 mm,尺寸为0.3λ_0(λ_0=20 mm),工作频段15—18 GHz,而后验证了由该单元组成的相位梯度超表面在15—18 GHz范围内对电磁波的奇异反射与聚焦特性.最后将设计的反射聚焦超表面应用于提高天线增益中,仿真与测试结果均表明,天线最高增益在15—18 GHz内平均增加了11 d B且-1 dB增益带宽为15—18 GHz(相对带宽为18.2%).由于厚度薄、重量轻、频带宽,设计的该单元拓展了相位梯度超表面在微波领域的应用,有望为高增益天线的实现提供新的方法.