【摘要】：近年來,磁光效應(Magneto Optical,簡稱:MO)和光子晶體(Photonic Crystal,簡稱:PC)的組合現象受到越來越多的關注。通常,因為光子晶體的帶隙特性,光不可以在晶體中順利傳輸,但通過破壞模型結構的完整周期,構造缺陷模式,便可實現光在光子晶體中傳輸的目的,若再引入磁光材料并對磁光材料施加外部磁場,更會產生有趣的現象。本文主要的研究是針對兩個磁表面缺陷模式之間的耦合特性的分析。理論計算上,通過改進一般所使用的平面波展開法(Plane Wave Expansion Method,簡稱:PWM),得到磁表面缺陷模式以及所構造模型的色散曲線,通過對色散曲線的研究我們獲得設計模型的傳輸屬性。完成的工作主要有如下幾個方面:1.設計一種新的結構實現光波導開關。在水平方向截斷三角晶格二維光子晶體構造出線型波導,并將截斷面兩側的原氧化鋁柱子替換為磁性材料釔鐵石榴石(Yttrium Iron Garnet,簡稱:YIG),通過對部分YIG介質柱施加同方向的外部磁場,在波導中央形成一道虛擬的“磁反射墻”,禁止光流在該處的傳輸。去除所施加的外部磁場,則“磁反射墻”消失,光流在波導中順利傳輸。實現了光波導開關的功能。2.在光波導開關研究的基礎上,選取對全部YIG介質柱施加飽和磁場時出現的特殊凸型曲線深入進行研究�；谕剐颓�所具有的“負折射”效應,實現光自陷和慢光。當光頻率處于自陷帶中,波導方向沒有實質的反射墻,依靠模式本身的屬性,光局域在點源附近,而當光處于慢光帶中,光流分別在波導的中心線和兩側邊界構成駐波和行駐波。3.最后,我們對原先研究的水平單向波導進行改進,仍以YIG作為磁性材料,構造一種新的二維結構的十字波導,該十字波導由水平方向和豎直方向的兩個單向波導組成。對于該模型,我們不僅改變了輸出端口數量,同時還實現了波導模式的轉換,將水平波導中的偶模式部分轉化為豎直波導中的奇模式,從而造成了部分奇模式和偶模式在豎直方向波導發(fā)生雜化的結果。
[Abstract]:In recent years, more and more attention has been paid to the combination of magneto-optic effect (Magneto Optical,) and photonic crystal (Photonic Crystal,: PC). In general, because of the band gap of photonic crystal, light can not be transmitted smoothly in the crystal, but by destroying the complete period of the model structure and constructing the defect mode, the aim of light transmission in the photonic crystal can be realized. If magneto-optic materials are introduced and external magnetic fields are applied to magneto-optic materials, interesting phenomena will occur. The main research of this paper is to analyze the coupling characteristics between two magnetic surface defect modes. Theoretically, by improving the plane wave expansion method (Plane Wave Expansion Method,: PWM), the magnetic surface defect mode and the dispersion curve of the constructed model are obtained, and the transmission properties of the designed model are obtained by studying the dispersion curve. The work accomplished mainly consists of the following aspects: 1. A new structure is designed to realize the optical waveguide switch. A linear waveguide is constructed by horizontally truncating the two-dimensional photonic crystal of triangular lattice, and the original alumina column on both sides of the truncation plane is replaced by the magnetic material yttrium iron garnet (Yttrium Iron Garnet,). The external magnetic field in the same direction is applied to part of the YIG dielectric column. A virtual "magnetic reflection wall" is formed in the center of the waveguide to prevent the transmission of optical flow there. When the external magnetic field is removed, the "magnetic reflection wall" disappears and the optical flow propagates smoothly in the waveguide. The function of optical waveguide switch is realized. Based on the study of optical waveguide switches, the special convex curves of all YIG dielectric cylinders subjected to saturated magnetic field are studied in depth. Based on the "negative refraction" effect of convex curve, light self-trapping and slow light are realized. When the optical frequency is in the self-trapping band, the waveguide direction has no essential reflection wall. Depending on the properties of the mode itself, the light is localized near the point source, while the light is in the slow band. The optical flow forms standing wave and traveling standing wave at the center line and the boundary of both sides of the waveguide, respectively. Finally, we improve the horizontal unidirectional waveguide studied previously, and still use YIG as magnetic material to construct a new two-dimensional cross waveguide, which is composed of two unidirectional waveguides in the horizontal direction and vertical direction. For this model, we not only change the number of output ports, but also realize the conversion of waveguide mode, which converts the even mode in the horizontal waveguide to the odd mode in the vertical waveguide. This results in the hybrid of partial odd mode and even mode in vertical waveguide.
【學位授予單位】：江蘇大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：TN252

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本文編號：2162055