【摘要】：回音壁模式是存在于圓形諧振器里面的一類特殊的電磁波諧振模式,依靠在諧振器邊界面上的全內(nèi)反射,其能夠以極小的損耗沿著諧振器的弧形表面?zhèn)鞑ァ；匾舯谀Ｊ匠叩钠焚|(zhì)因數(shù),結(jié)合其極低的模式體積,使其被廣泛應(yīng)用在微波光子學、非線性光學、量子光學等眾多領(lǐng)域。論文對超高品質(zhì)因數(shù)回音壁模式諧振器進行了系統(tǒng)性的研究,研究工作從回音壁模式在諧振器中的場分布開始,詳細闡明了回音壁模式在諧振器中的形態(tài)特征,并通過豐富的理論計算和實驗研究,對超高品質(zhì)因數(shù)回音壁模式諧振器的光學和電學特性進行了全面深入的分析。提出了對回音壁模式諧振器進行計算與分析的保角變換和傳輸線方法。利用這種簡便高效的方法,對不同尺寸的諧振器中回音壁模式的場分布與諧振頻率進行了詳細的分析和研究,包括微米級的小尺寸微腔,以及毫米級的大尺寸諧振器。建立了回音壁模式諧振器的二次諧波產(chǎn)生模型。從麥克斯韋方程組出發(fā),利用回音壁模式諧振器的非線性效應(yīng),實現(xiàn)了回音壁模式諧振器中的二次諧波產(chǎn)生的建模與仿真。研究了回音壁模式諧振器中的二次諧波的產(chǎn)生機理,詳細分析了基波和二次諧波的自脈沖效應(yīng),并從理論模型中計算求得了回音壁模式諧振器中自脈沖效應(yīng)的閾值功率。實現(xiàn)了超高品質(zhì)因數(shù)回音壁模式光學諧振器的設(shè)計和制備,提出了回音壁模式諧振器的制備方法。成功完成了 z切和x切鈮酸鋰(LiNb03)諧振器,氟化鎂(MgF2)諧振器等多種不同類型的回音壁模式碟形諧振器的設(shè)計和制備。完成了回音壁模式光學諧振器品質(zhì)因數(shù)的測量,分析了諧振器品質(zhì)因數(shù)的特性。利用線寬法和CRD(cavity ring down)法,完成了多種不同類型的回音壁模式光學諧振器品質(zhì)因數(shù)的測量。測量結(jié)果表明,z切和x切鈮酸鋰回音壁模式諧振器的品質(zhì)因數(shù)分別為Q=1.2×107和Q=2.7×107,這一超高的品質(zhì)因數(shù),充分表明了鈮酸鋰回音壁模式諧振器優(yōu)良的光學性能。此外,分析比較了不同諧振器的品質(zhì)因數(shù)及其測量方法,同時對諧振器品質(zhì)因數(shù)的損耗機制及其影響因素進行了深入的研究。研究了回音壁模式諧振器的光學特性。詳細分析了回音壁模式耦合過程中的眾多因素,包括激光的入射角度、棱鏡與諧振器的耦合距離、入射激光的偏振態(tài)以及回音壁模式的熱效應(yīng)等,研究了它們對諧振器中回音壁模式的作用機制及影響效果。研究了回音壁模式諧振器的電學特性。對鈮酸鋰回音壁模式諧振器的電光效應(yīng),進行了理論和實驗上的研究,揭示了其優(yōu)良的電光特性。分析了回音壁模式諧振器的輻射特性,提出了基于回音壁模式輻射效應(yīng)的射頻軌道角動量天線,闡明了從回音壁模式到軌道角動量模式的轉(zhuǎn)換機制,從仿真和實驗上揭示了該天線對射頻軌道角動量模式優(yōu)良的輻射特性。
[Abstract]:Echo wall mode is a kind of special electromagnetic resonance mode which exists in circular resonator. Depending on the total internal reflection on the resonator boundary plane, it can propagate along the arc surface of the resonator with minimal loss. The ultra-high quality factor of echo wall mode combined with its extremely low mode volume makes it widely used in many fields such as microwave photonics nonlinear optics quantum optics and so on. In this paper, a systematic study of ultra-high quality factor echo wall mode resonator is carried out. Starting with the field distribution of the echo wall mode in the resonator, the morphological characteristics of the echo wall mode in the resonator are expounded in detail. Through abundant theoretical calculation and experimental study, the optical and electrical characteristics of the ultra-high quality factor echo wall mode resonator are thoroughly analyzed. A method of conformal transformation and transmission line for the calculation and analysis of echo wall mode resonator is presented. By using this simple and efficient method, the field distribution and resonant frequency of echo wall modes in resonators with different sizes are analyzed and studied in detail, including microsized microcavities and large millimeter resonators. The second harmonic generation model of echo wall mode resonator is established. Based on Maxwell's equations, the modeling and simulation of the second harmonic generation in the echo wall mode resonator are realized by using the nonlinear effect of the echo wall mode resonator. The mechanism of second harmonic generation in echo wall mode resonator is studied. The self pulse effect of fundamental and second harmonic waves is analyzed in detail. The threshold power of self pulse effect in echo wall mode resonator is calculated from the theoretical model. The design and fabrication of ultra-high quality factor echo wall mode optical resonator are realized, and the fabrication method of echo wall mode resonator is proposed. The design and fabrication of several different types of resonators, such as Z cut and x cut lithium niobate (LiNb03) resonators and magnesium fluoride (MgF2) resonators, have been successfully completed. The quality factor of echo wall mode optical resonator is measured and the characteristic of resonator quality factor is analyzed. Using linewidth method and CRD (cavity ring down) method, the quality factors of various types of echo wall mode optical resonators have been measured. The measurement results show that the quality factors of z cut and x cut lithium niobate resonators are 1. 2 脳 107 and 2. 7 脳 10 ~ 7, respectively. This high quality factor fully shows the excellent optical performance of lithium niobate echo wall mode resonators. In addition, the quality factors of different resonators and their measurement methods are analyzed and compared, and the loss mechanism of the quality factors of the resonators and its influencing factors are also studied in depth. The optical properties of echo wall mode resonator are studied. Many factors in the coupling process of echo wall mode are analyzed in detail, including the incident angle of laser, the coupling distance between prism and resonator, the polarization state of incident laser, the thermal effect of echo wall mode, etc. The mechanism and effect of them on echo wall mode in resonator are studied. The electrical characteristics of echo wall mode resonator are studied. The electro-optic effect of lithium niobate echo wall resonator is studied theoretically and experimentally, and its excellent electro-optic properties are revealed. The radiation characteristics of echo wall mode resonator are analyzed. A radio frequency orbit angular momentum antenna based on echo wall mode radiation effect is proposed, and the conversion mechanism from echo wall mode to orbital angular momentum mode is illustrated. The excellent radiation characteristics of the antenna to the RF orbit angular momentum mode are revealed by simulation and experiment.
【學位授予單位】：浙江大學
【學位級別】：博士
【學位授予年份】：2017
【分類號】：TN751.2

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