二维正方晶格函数光子晶体带隙结构研究
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摘要
采用平面波展开法研究二维正方晶格函数光子晶体,分别计算TE波和TM波的带结构。二维正方晶格函数光子晶体介质柱折射率是空间坐标函数,而不是定值(二维正方晶格常规光子晶体)。二维正方晶格函数光子晶体可通过Kerr效应或电光效应来制备,可调节性灵活。本文研究了函数系数k对二维正方晶格函数光子晶体带结构的影响。在TE波情况下,函数系数k增加时,带隙数目变多且带宽变宽。与二维常规光子晶体比较,函数光子晶体有较宽的带隙结构,这将为光学器件的设计提供新的理论依据和重要的设计方法。
Using plane wave expansion, we studied the band gap structures of two-dimensional square lattice function photonic crystals for TE and TM waves. The medium column dielectric constants of two-dimensional tetragonal lattice function photonic crystals are the space coordinates functions rather than a fixed value(two-dimensional tetragonal lattice conventional photonic crystals). The Kerr effect or electro-optic effect is utilized to turn the dielectric constant of medium column into the function of space coordinates, which results in the formation of two-dimensional square lattice function photonic crystals. It is adjustable and flexible. In the paper, we studied the effect of function coefficient k on band gap structures of two-dimensional square lattice function photonic crystals. In the case of TE wave, the number of band gaps increase, and the width of band gaps widen with the increase of function coefficient. Comparing with the two-dimensional square lattice conventional photonic crystals, the two-dimensional square lattice function photonic crystals can get a wide band gap structure. These results provide a new theoretical foundation and an important design method for designing optical devices based on two-dimensional photonic crystals.
Using plane wave expansion, we studied the band gap structures of two-dimensional square lattice function photonic crystals for TE and TM waves. The medium column dielectric constants of two-dimensional tetragonal lattice function photonic crystals are the space coordinates functions rather than a fixed value(two-dimensional tetragonal lattice conventional photonic crystals). The Kerr effect or electro-optic effect is utilized to turn the dielectric constant of medium column into the function of space coordinates, which results in the formation of two-dimensional square lattice function photonic crystals. It is adjustable and flexible. In the paper, we studied the effect of function coefficient k on band gap structures of two-dimensional square lattice function photonic crystals. In the case of TE wave, the number of band gaps increase, and the width of band gaps widen with the increase of function coefficient. Comparing with the two-dimensional square lattice conventional photonic crystals, the two-dimensional square lattice function photonic crystals can get a wide band gap structure. These results provide a new theoretical foundation and an important design method for designing optical devices based on two-dimensional photonic crystals.
引文
[1] YABLONOVITCH E. Inhibited spontaneous emission in solid-state physics and electronics[J]. Physical Review Letters, 1987, 58(20):2059-2062.
[2] JOHN S. Strong localization of photons in certain disordered disordered dielectric superlattices[J]. Physical Review Letters, 1987, 58(23):2486-2489
[3]滕晨晨,周雯,庄煜阳,等.基于磁光子晶体的低损耗窄带THz滤波器[J].物理学报, 2016, 65(2):024210.
[4]甘雨莹,李培丽,张元方.基于磁光子晶体的太赫兹选路开关和分束器[J].光通信研究, 2017, 199(1):44-46.
[5]苏康,王梓名,刘建军.二维正方晶格光子晶体三光波导方向耦合器[J].光学学报, 2016, 36(3):0323002.
[6] SENG F L, SEBASTIAN K, WEN X, et al. Photonic crystals with topological defects[J]. Physical Review A, 2015, 91:023811.
[7] LU C, LI W, JIANG X Y, et al. Effect of disorder on hyperbolic metamaterials[J].Chinese Physics B,2014,23(9):097802.
[8] FANG Y T, HAN L, GAO Y F. Nonreciprocal optical tunnelling through evanescently coupled tamm statesin magnetophotonic crystals[J]. Z Naturforsch, 2015,70(4)a:205-211.
[9] WU X Y, MA J, LI H B, et al. A new quantum approach of one-dimensional photonic crystals[J]. Optik, 2016,127:127-130.
[10] FRANCESCO M, ANDREA A. Metamaterials and plasmonics:From nanoparticles to nanoantenna arrays, metasurfaces and metamaterials[J]. Chinese Physics, 2014, 23(4):047809.
[11]刘晓静,梁禺,刘继平,等.新型二维函数光子晶体的透射特性[J].吉林大学学报(理学版),2017,55(4):985-989.
[12]方云团,李小雪,吴义恒.时变光子晶体及计算方法[J].安庆师范大学学报(自然科学版),2018,24(3):9-12.
[13]刘晓静,张斯淇,梁禺,等.二维新型函数光子晶体带隙结构研究[J].量子电子学报, 2018, 35(2):191-196.
[14]肖利,雷天宇,梁禺,等.二维函数光子晶体[J].物理学报,2016,65(13):134207.
[2] JOHN S. Strong localization of photons in certain disordered disordered dielectric superlattices[J]. Physical Review Letters, 1987, 58(23):2486-2489
[3]滕晨晨,周雯,庄煜阳,等.基于磁光子晶体的低损耗窄带THz滤波器[J].物理学报, 2016, 65(2):024210.
[4]甘雨莹,李培丽,张元方.基于磁光子晶体的太赫兹选路开关和分束器[J].光通信研究, 2017, 199(1):44-46.
[5]苏康,王梓名,刘建军.二维正方晶格光子晶体三光波导方向耦合器[J].光学学报, 2016, 36(3):0323002.
[6] SENG F L, SEBASTIAN K, WEN X, et al. Photonic crystals with topological defects[J]. Physical Review A, 2015, 91:023811.
[7] LU C, LI W, JIANG X Y, et al. Effect of disorder on hyperbolic metamaterials[J].Chinese Physics B,2014,23(9):097802.
[8] FANG Y T, HAN L, GAO Y F. Nonreciprocal optical tunnelling through evanescently coupled tamm statesin magnetophotonic crystals[J]. Z Naturforsch, 2015,70(4)a:205-211.
[9] WU X Y, MA J, LI H B, et al. A new quantum approach of one-dimensional photonic crystals[J]. Optik, 2016,127:127-130.
[10] FRANCESCO M, ANDREA A. Metamaterials and plasmonics:From nanoparticles to nanoantenna arrays, metasurfaces and metamaterials[J]. Chinese Physics, 2014, 23(4):047809.
[11]刘晓静,梁禺,刘继平,等.新型二维函数光子晶体的透射特性[J].吉林大学学报(理学版),2017,55(4):985-989.
[12]方云团,李小雪,吴义恒.时变光子晶体及计算方法[J].安庆师范大学学报(自然科学版),2018,24(3):9-12.
[13]刘晓静,张斯淇,梁禺,等.二维新型函数光子晶体带隙结构研究[J].量子电子学报, 2018, 35(2):191-196.
[14]肖利,雷天宇,梁禺,等.二维函数光子晶体[J].物理学报,2016,65(13):134207.