线偏振光在一维磁光光子晶体中的传输特性

量子电子学报

线偏振光在一维磁光光子晶体中的传输特性

王泽清1，廖昆2，谢应茂1,3 ，王泽亚1，刘泽弘1

（1赣南师范大学物理与电子信息学院,江西赣州 341000； 2萍乡学院机械电子工程学院，江西萍乡 337055； 3赣南师范大学光电子材料与技术研究所,江西赣州 341000）

出版日期:2019-01-28 发布日期:2019-01-17
通讯作者: 13766355863@126.com
基金资助:
Supported by National Natural Science Foundation of China（国家自然科学基金，61765003）

Transmission Characteristics of Linearly Polarized Light in One-dimensional Magneto-optic Photonic Crystals

Wang Zeqing1, Liao Kun2, Xie Yingmao1,3*, Wang Zeya1, Liu Zehong1

(1 School of Physics and Electronic Information, Gannan Normal University, Ganzhou 341000, China; 2 School of Mechanical and Electronic Engineering, Pingxiang University, Pingxiang 337055, China; 3 Institute of Optoelectronic Materials and Technology, Gannan Normal University, Ganzhou 341000, China)

Published:2019-01-28 Online:2019-01-17

摘要/Abstract

摘要： 应用4×4传输矩阵法数值分析线偏振光在一维磁光光子晶体中的传输特性。首先推导了4×4传输矩阵，然后数值计算线偏振光在一维磁光光子晶体中传输时的透射谱和法拉第旋转角，结果表明：当施加外磁场时，由于磁光材料的磁光效应，线偏振光中的左旋圆偏振光和右旋圆偏振光在一维磁光光子晶体中传播时的透射谱不再重合，导致透射谱发生分裂。最后计算透射光的电场强度x分量和y分量的振幅和相位，得到透射光的表达式和法拉第旋转角。

关键词: 薄膜光学, 磁光光子晶体, 4×, 4传输矩阵法, 磁光效应, 法拉第旋转角

Abstract: The transmission characteristics of linearly polarized light in one-dimensional magneto optical photonic crystals are numerically analyzed by using the 4 × 4 transfer matrix method. The 4 × 4 transmission matrix is derived, the transmission spectrum and Faraday rotation angle of linearly polarized light in one-dimensional magneto-optic photonic crystal are calculated numerically. The results show that the transmission spectra of left-handed circularly polarized light and right-handed circularly polarized light propagating in one-dimensional magneto-optic photonic crystals do not coincide with each other due to the magneto-optic effect of magneto-optic materials when an external magnetic field is applied. Finally, the amplitudes and phases of the X-component and Y-component of the electric field intensity of the transmitted light are calculated, the expression of the transmitted light is obtained, and the Faraday rotation angle is calculated.

Key words: thin film optics, magneto-optical photonic crystals, 4 x 4 transfer matrix method, magneto-optical effect, Faraday rotation angle

王泽清1，廖昆2，谢应茂1,3,王泽亚1，刘泽弘1. 线偏振光在一维磁光光子晶体中的传输特性[J]. 量子电子学报.

Wang Zeqing1, Liao Kun2, Xie Yingmao1,3*, Wang Zeya1, Liu Zehong1. Transmission Characteristics of Linearly Polarized Light in One-dimensional Magneto-optic Photonic Crystals[J]. Chinese Journal of Quantum Electronics.

参考文献

[1] Inoue M, Fujii T. A theoretical analysis of magneto-optical Faraday effect of YIG films with random multilayer structures[J]. Journal of Applied Physics, 1997, 81(8): 5659-5661. [2] Li Z. Studies on non-reciprocal transmission characteristics of magnetic photonic crystals[D]. Nanjing: Doctoral Thesis of Nanjing University, 2015. [3] Fei H M, Wu J J, Yang Y B, et al. The application research of one-dimensional magneto-photonic crystals for magneto-optical isolators[J]. Acta Photonica Sinica, 2014, 43(10): 54-57. [4] Vasiliev M, Alameh K E, Belotelov V I, et al. Magnetic photonic crystals: 1-D optimization and applications for the integrated optics devices[J]. Journal of Lightwave Technology, 2006, 24(5): 2156-2162. [5] Li G J. Negative refraction in photonic crystals and magneto-optic multilayer isolators[D]. Anhui: Doctoral Thesis of University of Science and Technology of China, 2007. [6] Abdi-Ghaleh R, Namdar A. Circular polarization bandpass filters based on one-dimensional magnetophotonic crystals[J]. Journal of Modern Optics, 2013, 60(19):1619-1626. [7] Zamani M, Ghanaatshoar M, Alisafaee H. Compact one-dimensional magnetophotonic crystals with simultaneous large Faraday rotation and high transmittance[J]. Journal of Modern Optics, 2012, 59(2): 126-130. [8] Zamani M, Ghanaatshoar M. Adjustable magneto-optical isolators with flat-top responses[J]. Optics express, 2012, 20(22): 24524-24535. [9] Wang L S, Gao Y F, Zhao S C, et al. Study on multiple channel non-reciprocal transmission characteristics of one-dimensional magneto-optical photonic crystal[J]. Laser & Optoelectronics Progress, 2018, (04): 346-351. [10] Sharifian M, Ghadiri H, Zamani M, et al. Influence of thickness error on the operation of adjustable magneto-optical isolators[J]. Applied Optics, 2012, 51(20):4873-487. [11] Wang G H, Wang Q C, Wu X Y, Research on one-dimensional function photonic crystals[J]. Acta Physica Sinica, 2012, 61(13): 134208. [12] Berreman D W. Optics in stratified and anisotropic media: 4×4-matrix formulation[J]. Journal of the Optical Society of America, 1972, 62(4): 502-510. [13] Chen C J, Lien A, Nathan M I. 4 × 4 and 2 × 2 matrix formulations for the optics in stratified and biaxial media[J]. Journal of the Optical Society of America A, 1997, 14(11): 3125-3134. [14] Levy M, Yang H C, Steel M J, et al. Flat-top response in one-dimensional magnetic photonic bandgap structures with Faraday rotation enhancement[J]. Journal of lightwave technology, 2001, 19(12): 1964-1969. [15] Wang J J, Zhu Z P, Lu L Z, et al. Transmission of elliptically polarized waves through 1-D anisotropic photonic crystals[J]. Laser Technology,2012, 36(6):818-821. [16] Fei H, Wu J, Yang Y, et al. Magneto-optical isolators with flat-top responses based on one-dimensional magneto-photonic crystals[J]. Photonics and Nanostructures-Fundamentals and Applications, 2015, 17: 15-21. [17] Zamani M, Ghanaatshoar M. Design and error analysis of adjustable reflection-type magneto-optical photonic crystals for optical isolator application[J]. Journal of Magnetism and Magnetic Materials, 2014, 358: 76-81. [18] Yin C P, Wang T B, Wang H Z. Magneto-optical properties of one-dimensional conjugated magnetophotonic crystals heterojunctions[J]. European Physical Journal B, 2012, 85(3):1-7. [19] Sun T T. Tunable optical and Faraday magneto-optical properties of one-dimensional photonic crystals[D]. Jiangsu : Master Thesis of Soochow University,2011.