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

Abstract

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

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.

References

[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.