Dielectric fresnel zone-plate lenses and antennas

R.D. Hristoy
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Abstract

The Fresnel zone lens witb transparentlreflecting (absorbing) rings has inadequate focusing properties.The radiation efficiency of the corresponding lens antenna is less than 15 % [l]. To increase the lens focusing quality Wiltse (1976) replaced the teflecting (absorbing) rings by phase-reversing dielectric Ms. On the base ofthis dielectric zoneplate lens antennas have been developed and examiued for which the radiation efficiency is of about 25-30 % [2-4]. Recently, a new variety of quarter-wave Fresnel zone-plate lens with increased focusing quality was proposed [5]. Each full-wave zone of the Fresnel plate lens was divided into four quarter-wave subzones which were covered by dielectric rings having equal thickness but different pennittivities. To accomplish a quarter-wave stepwise phaseandon the relative permittivities has to obey the following sequence: E 1’1, E2=6.25, €3‘4, and Eq”2.25. This is evident from the computed “infinite” transmission phase-shift characteristics of the dielectric plates having the above sequence of permittivity values, and thickness of the ideal dielectric phase-shifter, i.e. l/2 for & 4. This lens configuration was used to design a tmsmissive-type Fresnel zone-plate antennas for DBS TV and millimeter-wave bands with a computed radiation efficiency higher than 50% [5-71. They were examined theoretically using the multiple reflection/transmission coefficients for low-loss dielectric plates and vectorial Kirchhoff diffraction antenna theory. With dielectric rings made in sandwich-type manner the Fresnel zone-plate antenna reaches about 60% theoretical aperture efficiency. References
介电菲涅耳带板透镜和天线
具有透明反射(吸收)环的菲涅耳带透镜聚焦性能不足。相应透镜天线的辐射效率小于15%[1]。为了提高透镜聚焦质量,Wiltse(1976)用反向电介质ms代替反射(吸收)环。在此电介质带板透镜天线的基础上,开发并测试了其辐射效率约为25- 30%[2-4]。最近,人们提出了一种新型的四分之一波菲涅耳带片透镜,提高了聚焦质量[5]。菲涅耳平板透镜的每个全波区被划分为四个四分之一波区,四个四分之一波区被厚度相等但折射率不同的介电环覆盖。为了实现四分之一波阶跃相移,相对介电常数必须服从以下顺序:e1′1,E2=6.25, e3′4和Eq′2.25。这从具有上述介电常数值序列的介质板的“无限”传输相移特性和理想介质移相器的厚度(即& 4的l/2)中可以看出。该透镜结构用于DBS电视和毫米波波段设计了一种辐射效率高于50%的发射型菲涅耳区板天线[5-71]。利用低损耗介质板的多重反射/透射系数和矢量基尔霍夫衍射天线理论对它们进行了理论检验。采用夹层形式制作介电环,菲涅耳带板天线的理论孔径效率可达60%左右。参考文献
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