超高品质因数回音壁模式谐振器研究
发布时间：2018-08-06 09:30
【摘要】：回音壁模式是存在于圆形谐振器里面的一类特殊的电磁波谐振模式,依靠在谐振器边界面上的全内反射,其能够以极小的损耗沿着谐振器的弧形表面传播。回音壁模式超高的品质因数,结合其极低的模式体积,使其被广泛应用在微波光子学、非线性光学、量子光学等众多领域。论文对超高品质因数回音壁模式谐振器进行了系统性的研究,研究工作从回音壁模式在谐振器中的场分布开始,详细阐明了回音壁模式在谐振器中的形态特征,并通过丰富的理论计算和实验研究,对超高品质因数回音壁模式谐振器的光学和电学特性进行了全面深入的分析。提出了对回音壁模式谐振器进行计算与分析的保角变换和传输线方法。利用这种简便高效的方法,对不同尺寸的谐振器中回音壁模式的场分布与谐振频率进行了详细的分析和研究,包括微米级的小尺寸微腔,以及毫米级的大尺寸谐振器。建立了回音壁模式谐振器的二次谐波产生模型。从麦克斯韦方程组出发,利用回音壁模式谐振器的非线性效应,实现了回音壁模式谐振器中的二次谐波产生的建模与仿真。研究了回音壁模式谐振器中的二次谐波的产生机理,详细分析了基波和二次谐波的自脉冲效应,并从理论模型中计算求得了回音壁模式谐振器中自脉冲效应的阈值功率。实现了超高品质因数回音壁模式光学谐振器的设计和制备,提出了回音壁模式谐振器的制备方法。成功完成了 z切和x切铌酸锂(LiNb03)谐振器,氟化镁(MgF2)谐振器等多种不同类型的回音壁模式碟形谐振器的设计和制备。完成了回音壁模式光学谐振器品质因数的测量,分析了谐振器品质因数的特性。利用线宽法和CRD(cavity ring down)法,完成了多种不同类型的回音壁模式光学谐振器品质因数的测量。测量结果表明,z切和x切铌酸锂回音壁模式谐振器的品质因数分别为Q=1.2×107和Q=2.7×107,这一超高的品质因数,充分表明了铌酸锂回音壁模式谐振器优良的光学性能。此外,分析比较了不同谐振器的品质因数及其测量方法,同时对谐振器品质因数的损耗机制及其影响因素进行了深入的研究。研究了回音壁模式谐振器的光学特性。详细分析了回音壁模式耦合过程中的众多因素,包括激光的入射角度、棱镜与谐振器的耦合距离、入射激光的偏振态以及回音壁模式的热效应等,研究了它们对谐振器中回音壁模式的作用机制及影响效果。研究了回音壁模式谐振器的电学特性。对铌酸锂回音壁模式谐振器的电光效应,进行了理论和实验上的研究,揭示了其优良的电光特性。分析了回音壁模式谐振器的辐射特性,提出了基于回音壁模式辐射效应的射频轨道角动量天线,阐明了从回音壁模式到轨道角动量模式的转换机制,从仿真和实验上揭示了该天线对射频轨道角动量模式优良的辐射特性。
[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.
【学位授予单位】：浙江大学
【学位级别】：博士
【学位授予年份】：2017
【分类号】：TN751.2
[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.
【学位授予单位】：浙江大学
【学位级别】：博士
【学位授予年份】：2017
【分类号】：TN751.2
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