用矢量球面波理論和互易原理分析倫伯透鏡天線
Analysis of Luneburg Lens Antenna Using Spherical Vector Wave Method and Reciprocity Theorem
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摘要: 倫伯透鏡是一種球形分層介質(zhì)天線，考慮到數(shù)值計(jì)算的復(fù)雜性，本文提出用矢量球面波理論和互易原理相結(jié)合，分析其性能。該方法首先用矢量球面波理論計(jì)算平面波入射到多層介質(zhì)球的散射場(chǎng)，在此基礎(chǔ)上，用互易原理將散射場(chǎng)轉(zhuǎn)變成天線的遠(yuǎn)區(qū)輻射場(chǎng)。基于這種方法，本文著重研究了倫伯透鏡天線的焦區(qū)場(chǎng)和遠(yuǎn)區(qū)場(chǎng)特性，包括透鏡分層總數(shù)以及層與層之間存在的空氣間隙對(duì)實(shí)際應(yīng)用可能造成的影響。最后，對(duì)衛(wèi)星通信中倫伯透鏡天線多波束應(yīng)用的可行性給出了分析結(jié)果。
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關(guān)鍵詞:
- 倫伯透鏡;矢量球面波;互易原理;多波束天線
Abstract: The Luneburg lens antenna is composed of a series of concentric shells of constant permittivity. Considering the complexity of numerical calculation, this paper presents a closed-form approach, which combines the spherical vector wave method and the reciprocity theorem. The hybrid method first calculates the scattered fields of the Luneburg lens using the spherical vector wave method. Then it transforms the calculated results into the radiation fields in the far region using the reciprocity theorem. This paper applies the approach to investigate the characteristics of the Luneburg lens in the focal region as well as in the far region. The effects of the shell number and the air gaps between the layers on the antenna performance have been also investigated. In the end, the paper presents the analysis result on the feasibility of the multiple-beam Luneburg lens antenna for satellite communication. -
J.A.斯特萊頓. 電磁理論[M]. 北京：北京航空學(xué)院出版社，1986年，第9章. -
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