Band gaps structure and semi-Dirac point of two-dimensional function photonic crystals

doi:10.1088/1674-1056/26/2/024208

中国物理B ›› 2017, Vol. 26 ›› Issue (2): 24208-024208.doi: 10.1088/1674-1056/26/2/024208

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Band gaps structure and semi-Dirac point of two-dimensional function photonic crystals

Si-Qi Zhang(张斯淇), Jing-Bin Lu(陆景彬), Yu Liang(梁禺), Ji Ma(马季), Hong Li(李宏), Xue Li(李雪), Xiao-Jing Liu(刘晓静), Xiang-Yao Wu(吴向尧), Xiang-Dong Meng(孟祥东)

1 Institute of Physics, Jilin University, Changchun 130012, China;
2 Institute of Physics, Jilin Normal University, Siping 136000, China;
3 Institute of Physics, Northeast Normal University, Changchun 130012, China

收稿日期:2016-04-28 修回日期:2016-10-15 出版日期:2017-02-05 发布日期:2017-02-05
通讯作者: Xiang-Yao Wu E-mail:wuxy2066@163.com
基金资助:
Project supported by the National Natural Science Foundations of China (Grant No. 61275047), the Research Project of Chinese Ministry of Education (Grant No. 213009A), and the Scientific and Technological Development Foundation of Jilin Province, China (Grant No. 20130101031JC).

Band gaps structure and semi-Dirac point of two-dimensional function photonic crystals

Si-Qi Zhang(张斯淇)¹, Jing-Bin Lu(陆景彬)¹, Yu Liang(梁禺)², Ji Ma(马季)², Hong Li(李宏)³, Xue Li(李雪)¹, Xiao-Jing Liu(刘晓静)², Xiang-Yao Wu(吴向尧)², Xiang-Dong Meng(孟祥东)²

1 Institute of Physics, Jilin University, Changchun 130012, China;
2 Institute of Physics, Jilin Normal University, Siping 136000, China;
3 Institute of Physics, Northeast Normal University, Changchun 130012, China

Received:2016-04-28 Revised:2016-10-15 Online:2017-02-05 Published:2017-02-05
Contact: Xiang-Yao Wu E-mail:wuxy2066@163.com
Supported by:
Project supported by the National Natural Science Foundations of China (Grant No. 61275047), the Research Project of Chinese Ministry of Education (Grant No. 213009A), and the Scientific and Technological Development Foundation of Jilin Province, China (Grant No. 20130101031JC).

摘要/Abstract

摘要： Two-dimensional function photonic crystals, in which the dielectric constants of medium columns are the functions of space coordinates r, are proposed and studied numerically. The band gaps structures of the photonic crystals for TE and TM waves are different from the two-dimensional conventional photonic crystals. Some absolute band gaps and semi-Dirac points are found. When the medium column radius and the function form of the dielectric constant are modulated, the numbers, width, and position of band gaps are changed, and the semi-Dirac point can either occur or disappear. Therefore, the special band gaps structures and semi-Dirac points can be achieved through the modulation on the two-dimensional function photonic crystals. The results will provide a new design method of optical devices based on the two-dimensional function photonic crystals.

关键词: two-dimensional photonic crystals, function dielectric constants, band gaps structures

Abstract: Two-dimensional function photonic crystals, in which the dielectric constants of medium columns are the functions of space coordinates r, are proposed and studied numerically. The band gaps structures of the photonic crystals for TE and TM waves are different from the two-dimensional conventional photonic crystals. Some absolute band gaps and semi-Dirac points are found. When the medium column radius and the function form of the dielectric constant are modulated, the numbers, width, and position of band gaps are changed, and the semi-Dirac point can either occur or disappear. Therefore, the special band gaps structures and semi-Dirac points can be achieved through the modulation on the two-dimensional function photonic crystals. The results will provide a new design method of optical devices based on the two-dimensional function photonic crystals.

Key words: two-dimensional photonic crystals, function dielectric constants, band gaps structures

中图分类号: (Photonic bandgap materials)

42.70.Qs

78.20.Bh (Theory, models, and numerical simulation) 73.20.At (Surface states, band structure, electron density of states)

张斯淇, 陆景彬, 梁禺, 马季, 李宏, 李雪, 刘晓静, 吴向尧, 孟祥东. Band gaps structure and semi-Dirac point of two-dimensional function photonic crystals[J]. 中国物理B, 2017, 26(2): 24208-024208.

Si-Qi Zhang(张斯淇), Jing-Bin Lu(陆景彬), Yu Liang(梁禺), Ji Ma(马季), Hong Li(李宏), Xue Li(李雪), Xiao-Jing Liu(刘晓静), Xiang-Yao Wu(吴向尧), Xiang-Dong Meng(孟祥东). Band gaps structure and semi-Dirac point of two-dimensional function photonic crystals[J]. Chin. Phys. B, 2017, 26(2): 24208-024208.

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Band gaps structure and semi-Dirac point of two-dimensional function photonic crystals

Band gaps structure and semi-Dirac point of two-dimensional function photonic crystals

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