含Dirac材料一维光子晶体中的隧穿模特性

doi:10.3969/j.issn.1007-5461.2026.04.014

量子电子学报 ›› 2026, Vol. 43 ›› Issue (4): 649-657.doi: 10.3969/j.issn.1007-5461.2026.04.014

含Dirac材料一维光子晶体中的隧穿模特性

徐磊 1, 王兴林 2*

1 安徽工程大学电气工程学院, 安徽芜湖 241000;2 安徽工程大学数理与金融学院, 安徽芜湖 241000

收稿日期:2024-08-19 修回日期:2024-10-31 出版日期:2026-07-28 发布日期:2026-07-27
通讯作者: E-mail: wxldreamfly@ahpu.edu.cn E-mail:E-mail: wxldreamfly@ahpu.edu.cn
作者简介:安徽省自然科学基金 (1508085QA22), 国家级大学生创新创业训练计划项目 (201710363081)
基金资助:
安徽省自然科学基金 (1508085QA22), 国家级大学生创新创业训练计划项目 (201710363081)

Tunneling mode in one‑dimensional photonic crystals containing Dirac material

XU Lei 1 , WANG Xinglin 2*

1 School of Electrical Engineering, Anhui Polytechnic University, Wuhu 241000, China; 2 School of Mathematics-Physics and Finance, Anhui Polytechnic University, Wuhu 241000, China

Received:2024-08-19 Revised:2024-10-31 Published:2026-07-28 Online:2026-07-27

摘要/Abstract

摘要： 光子晶体因其独特的电磁特性及其在光电子器件领域的广泛应用而备受关注。本文研究了由Dirac材料构成的一维对称型光子晶体在引入掺杂后的隧穿模特性。研究发现, 该光子晶体的透射谱中出现零-平均折射率、Dirac和布拉格三种光子带隙。引入掺杂后, Dirac带隙不支持隧穿模传输; 而对于零-平均折射率带隙和布拉格带隙, 随着入射光的入射角以及Dirac材料结构参数的变化, 可出现多个完全隧穿模, 并可实现模式分离、简并与模式频率间隔的多自由度调控。此外, 受界面效应及Dirac材料色散特性的影响, 光子晶体内部的电场局域在周期材料单元的界面处, 相对于掺杂层呈对称分布, 且在靠近掺杂层时强度达到峰值。

关键词: 光电子学, 光子隧穿, 传输矩阵, Dirac材料

Abstract: Photonic crystals have received considerable attention due to their unique electromagnetic properties and extensive applications in optoelectronic devices. This paper investigates the tunneling mode in one-dimensional symmetric photonic crystals composed of Dirac materials with impurities. It is found that the transmission spectrum of photonic crystals exhibits three types of photonic band gaps: zero-average refractive index, Dirac, and Bragg. When impurities are introduced, the Dirac band gap does not support tunneling modes, whereas multiple complete tunneling modes emerge in the zero-average refractive index and Bragg band gaps with variations in the incidence angle of light and the structural parameters of Dirac materials, and mode separation, merging, and multi-degree-of-freedom control of mode frequency intervals can be achieved. In addition, owing to interface effects and the dispersion characteristics of Dirac materials, the electric field in photonic crystals is localized at the interfaces of the periodic material units, exhibiting a symmetric distribution relative to the defect layer and peaking near the defect layer.

Key words: optoelectronics, photon tunneling, transfer matrix, Dirac material

中图分类号:

O451

徐磊, 王兴林 . 含Dirac材料一维光子晶体中的隧穿模特性[J]. 量子电子学报, 2026, 43(4): 649-657.

XU Lei , WANG Xinglin . Tunneling mode in one‑dimensional photonic crystals containing Dirac material[J]. Chinese Journal of Quantum Electronics, 2026, 43(4): 649-657.

参考文献

[1] John S. Strong localization of photons in certain disordered dielectric superlattices[J]. Physical Review Letters, 1987, 58(23): 2486-2489. [2] Yablonovitch E. Inhibited spontaneous emission in solid-state physics and electronics[J]. Physical Review Letters, 1987, 58(20): 2059-2062. [3] Yablonovitch E, Gmitter T J, Leung K M. Photonic band structure: The face-centered-cubic case employing nonspherical atoms[J]. Physical Review Letters, 1991, 67(17): 2295-2298. [4] Campbell M, Sharp D N, Harrison M T, et al. Fabrication of photonic crystals for the visible spectrum by holographic lithography[J]. Nature, 2000, 404(6773): 53-56. [5] Chow E, Lin S Y, Johnson S G, et al. Three-dimensional control of light in a two-dimensional photonic crystal slab[J]. Nature, 2000, 407(6807): 983-986. [6] Lin S, Fleming J G, Hetherington D L, et al. A three-dimensional photonic crystal operating at infrared wavelengths[J]. Nature, 1998, 394(6690): 251-253. [7] Kuzmiak V, Maradudin A A. Localized defect modes in a two-dimensional triangular photonic crystal[J]. Physical Review B, 1998, 57(24): 15242. [8] Mingaleev S F, Kivshar Y S. Nonlinear transmission and light localization in photonic-crystal waveguides[J]. Journal of the Optical Society of America B, 2002, 19(9): 2241-2249. [9] Topolancik J, Ilic B, Vollmer F. Experimental Observation of Strong Photon Localization in Disordered Photonic Crystal Waveguides[J]. Physical Review Letters, 2007, 99(25): 253901. [10] Veselago V G. The electrodynamics of substances with simultaneously negative values of ε andμ[J]. Soviet Physics USPEKHI, 1968, 10 (4): 509-514. [11] Shelby R A, Smith D R, Schultz. Experimental verification of a negative index of refraction. Scinence, 2001, 292: 77-79. [12] Smith D R, Padilla W J, Vier D C, et al. Composite medium with simultaneously negative permeability and permittivity [J]. Physical Review Letters, 2000, 84 (18): 4184-4187. [13] Pendry J B. Negative refraction makes a perfect lens. Physical Review Letters, 2000, 85 (18): 3966~3969. [14] Smith D R, Kroll N. Negative refraction index in left-handed materials. Physical Review Letters, 2000, 85 (14): 2933~2936. [15] Xu K, Zheng X, Li C, et al. Design of omnidirectional and multiple channeled filters using one-dimensional photonic crystals containing a defect layer with a negative refractive index. Physical Review E, 2005. 71(6): 066604. [16] Takayama S, Kitagawa H, Tanaka Y, et al. Experimental demonstration of complete photonic band gap in two-dimensional photonic crystal slabs. Applied Physics Letters, 2005. 87(6): 061107. [17] Wang, L G, Chen H, Zhu S Y. Omnidirectional gap and defect mode of one-dimensional photonic crystals with single-negative materials. Physical Review B, 2004. 70(24): 245102. [18] Novoselov K S, Geim A K, Morozov S, et al. Electric field effect in atomically thin carbon films [J]. Science, 2004, 306: 666-669. [19] Wang L G, Wang Z G, Zhang J X, et al. Realization of Dirac point with double cones in optics [J]. Optics Letters, 2009, 34(10): 1510-1512. [20] Wang L G, Wang Z G, Zhu S Y. Zitterbewegung of optical pulses near the Dirac point inside a negative-zero-positive index metamaterial [J]. Europhysics Letters, 2009, 86(4): 47008. [21] Sepkhanov R, Nilsson J, Beenakker C. Proposed method for detection of the pseudospin-1 2 Berry phase in a photonic crystal with a Dirac spectrum [J]. Physical Review B, 2008, 78(4): 045122. [22] Longhi S. Klein tunneling in binary photonic superlattices [J]. Physical Review B, 2010, 81(7): 075102. [23] Bahat-Treidel O, Peleg O, Grobman M, et al. Klein tunneling in deformed honeycomb lattices [J]. Physical Review Letters, 2010, 104(6): 063901. [24] Wang Xinglin, Zheng Fanong. Lateral shifts of transmission light from a slab structure with a negative-zero-positive index metamaterial[J]. Chinese Journal of Quantum Electronics, 2015, 32(3): 257-262. 王兴林, 郑发农. 负－零－正折射率超常介质平板结构中的透射横向位移特性分析[J]. 量子电子学报, 2015, 32(3): 257-262. [25] Shen M, Ruan L X, Chen X. Guided modes near the Dirac point in negative-zero-positive index metamaterial waveguide [J]. Optics Express, 2010, 18(12): 12779-12787. [26] Shen M, Ruan L X, Wang X L, et al. Tunable band gap near the Dirac point in nonlinear negative-zero-positive index metamaterial waveguide [J]. Physical Review A, 2011, 83(4): 045804. [27] Wang X L, Shen M, Jiang A, et al. Lateral shifts and photon tunneling in a frustrated total internal reflection structure with a negative-zero-positive index metamaterial [J]. Optics Letters, 2013, 38(19): 3949-3952. [28] Wang X L, Jiang A, Zheng F N. Large and bistable Goos–H?nchen shifts from the Kretschmann configuration with a nonlinear negative–zero–positive index metamaterial [J]. Journal of Optics, 2014, 16(4): 045101. [29] Wang X, Shen M, Wang H. Tunneling modes and giant Goos–H?nchen effect of a symmetric heterostructure containing negative-zero-positive index metamaterials. Applied Physics B, 2015, 120: 69–73. [30] Wang X, Wang H, Zheng F. Properties of group delay for photon tunneling through dispersive metamaterial barriers. Optics Communications, 2017, 382: 371-376. [31] Wang X, Wang H, Yu H. Broadband wave plate based on one-dimensional photonic crystal containing negative-zero-positive index metamaterials. Optics Communications, 2021, 479: 126449. [32] Wang L, Wang L G. Photonic band structures in one-dimensional photonic crystals containing Dirac materials. Physics Letters A, 2015, 379(32): 1847-1851. [33] Chen Y. Merging of omnidirectional defect modes in one-dimensional photonic crystals with a single-negative material defect. Journal of the Optical Society of America B, 2008, 25(6): 972-975.

含Dirac材料一维光子晶体中的隧穿模特性

Tunneling mode in one‑dimensional photonic crystals containing Dirac material

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价

[1]	赖检辉 , 吕俊毅 , 张瑞 , 张奕亮 , 平梦超 , 刘超飞. 双梯形势垒中的量子透射与隧穿[J]. 量子电子学报, 2026, 43(3): 394-411.
[2]	余志超, 姚路, 阚瑞峰, 孙方亮, 许振宇, 张先燚 . 基于数字 PID 的 DFB 激光器温度控制系统[J]. 量子电子学报, 2025, 42(6): 795-805.
[3]	黄鹏翔, 廉吉庆, 祝诚勇, 李理敏, 潘多, 陈景标, . 基于离散正弦波调频的 CPT 原子钟微波调制方法[J]. 量子电子学报, 2025, 42(4): 574-583.
[4]	葛宏义, 贾志远, 蒋玉英, 张元, 吴旭阳, 季晓迪, 孙振雨, 崔光远, . 基于遗传算法的多频段太赫兹类电磁诱导透明超材料传感器的优化设计[J]. 量子电子学报, 2025, 42(3): 369-380.
[5]	徐华轩 #, 敖致远, #, 李林, 李梓, 何胜国, 童昕 . 基于电子管振荡电路的离子阱射频源性能研究(封面文章)[J]. 量子电子学报, 2025, 42(2): 229-237.
[6]	王锦荣 , 吴双娥 , 米成栋 , 朱梦琦 , 程子源 , 高旭珍 , 史旭蓉 , 杜胜利 . 高功率宽调谐声光调制器驱动源的研究[J]. 量子电子学报, 2025, 42(2): 238-245.
[7]	吴仍来 , 唐嘉尉 , 黄恺健 , 薛艺 , 李俏璇 . 双条金原子链体系等离激元的激发特性[J]. 量子电子学报, 2025, 42(1): 48-0.
[8]	施沈希, 王佐宏, 孙梦然, 郑改革, . 含石墨烯的多层核壳结构自发辐射性质研究[J]. 量子电子学报, 2024, 41(6): 970-980.
[9]	乔旭冕, 李新化, 谷毛毛, 龚书磊, 弓紫燕, 吴超可, 吴超, 赵雷鸣. 纤锌矿结构砷化镓纳米线中的深能级缺陷研究[J]. 量子电子学报, 2024, 41(4): 671-678.
[10]	江佩璘 , 张意 , 黄强 , 石浩天 , 黄楚坤 , 余林峰 , 孙军强 , 余长亮 . Ge/SiGe非对称耦合量子阱强度调制特性仿真[J]. 量子电子学报, 2024, 41(2): 388-396.
[11]	曾繁鹏 , 赖强, 赖聪. 忆阻Sprott-R混沌系统的复杂动态分析与电路实现[J]. 量子电子学报, 2024, 41(1): 170-183.
[12]	张兴娇 , 曾礼丽 , 文如泉 , 廖建波 , 李薪蔚 . 基于表面等离子激元的多通道滤波器设计[J]. 量子电子学报, 2023, 40(6): 983-991.
[13]	高彦伟, 张玉钧, 刘海秋, 马慧敏 . 半导体激光器驱动电路设计及实验研究[J]. 量子电子学报, 2023, 40(5): 684-693.
[14]	吕海燕 , 洪占勇 , 杜先常 , . 单光子探测器制冷系统研究[J]. 量子电子学报, 2023, 40(3): 400-406.
[15]	张若雅 , 朱巧芬 , 张岩 . 可调谐太赫兹超材料吸波器研究进展[J]. 量子电子学报, 2023, 40(3): 301-318.