PMC边界手征负折射平板波导模式特性及场分布

doi:10.3969/j.issn.1007-2861.2014.03.013

上海大学学报(自然科学版) ›› 2015, Vol. 21 ›› Issue (5): 579-587.doi: 10.3969/j.issn.1007-2861.2014.03.013

PMC边界手征负折射平板波导模式特性及场分布

马全问, 肖中银, 徐晓雪, 徐文杰, 马孝龙, 刘德君, 王子华

上海大学特种光纤与光接入网省部共建重点实验室, 上海 200444

收稿日期:2014-04-30 出版日期:2015-10-30 发布日期:2015-10-30
通讯作者: 肖中银(1964—), 男, 教授, 博士生导师, 研究方向为光波导理论与技术、微波毫米波电路. E-mail:zhyxiao@staff.shu.edu.cn
基金资助:
国家自然科学基金资助项目(61275070, 61077068)

Modes and fields for a chiral negative refraction parallel-plate waveguide under PMC boundary

MA Quan-wen, XIAO Zhong-yin, XU Xiao-xue, XU Wen-jie, MA Xiao-long, LIU De-jun, WANG Zi-hua

Key Laboratory of Specialty Fiber Optics and Optical Access Networks, Shanghai University, Shanghai 200444, China

Received:2014-04-30 Online:2015-10-30 Published:2015-10-30

摘要/Abstract

摘要： 从理论上分析了以理想磁导体(perfect magnetic conductor, PMC)为边界的手征负折射平板波导的模式特性及其磁场的具体分布. 利用PMC边界条件, 导出了手征负折射波导的色散方程和磁场各分量表达式. 通过波导的色散曲线发现, 当手征参数 κ>1时, 某些区域曲线出现下凹, 左旋圆极化(left circularly polarized, LCP)波的折射率为负值, 实现了负折射特性, 截止频率也不再是传播常数β=0所对应的频率. 根据传播常数β和k₊, k₋的关系, 将色散曲线分为3个区域, 给出了各区域一阶奇模和一阶偶模磁场的具体分布, 并与一般手征媒质平板波导的磁场分布作了比较. 结果发现, 切向分量场H_y,H_z 在上下边界处为零, 满足PMC边界条件. 而由于面磁流的存在, 法向分量H_x在边界处不为零.

关键词: 电磁场分布, 理想磁导体, 平板波导, 色散特性, 手征负折射

Abstract: The mode characteristics and magnetic distributions of a chiral negative refraction parallel-plate waveguide under perfect magnetic conductor (PMC) boundary are studied theoretically. With boundary conditions of PMC, dispersion relations and electromagnetic fields are obtained. Using the dispersion curves, if the chirality parameter κ >1, curves become concave-down in some regions and the refractive index of left circularly polarized (LCP) wave is negative. It imply that chiral medium can realize negative refraction. The cutoff frequency is no longer the conventionally defined frequency when propagation constant is zero. According to the relations between propagation constant β and wavenumbers k₊ and k₋, the dispersion curves are divided into three regions. Amplitudes of magnetic field components on the first-order even mode and first-order odd mode are plotted respectively. Chatacteristics of the magnetic field components are discussed and compared with the conventional chiral slab waveguide. It is shown that H_yand H_z are zero at x/d = ±0.5. It indicates that they satisfy the PMC boundary conditions and,due to the existence of magnetic current, H_x is not zero at the interface.

Key words: chiral negative refraction, dispersion characteristic, electromagnetic field, perfect magnetic conductor (PMC), slab waveguide

中图分类号:

O 441.4

马全问, 肖中银, 徐晓雪, 徐文杰, 马孝龙, 刘德君, 王子华. PMC边界手征负折射平板波导模式特性及场分布[J]. 上海大学学报(自然科学版), 2015, 21(5): 579-587.

MA Quan-wen, XIAO Zhong-yin, XU Xiao-xue, XU Wen-jie, MA Xiao-long, LIU De-jun, WANG Zi-hua. Modes and fields for a chiral negative refraction parallel-plate waveguide under PMC boundary[J]. Journal of Shanghai University（Natural Science Edition）, 2015, 21(5): 579-587.

参考文献

[1] Lindell I V, Sihvola A H, Tretyakov S A, et al. Electromagnetic waves in chiral and biisotropic media [M]. Boston: Artech House, 1994: 28-35.

[2] Ioannidis A, Stratis I G, Yannacopoulos A N. Electromagnetic fields in chiral media [C]//Influence of Traditional Mathematics and Mechanics on Modern Science and Technology. 2004: 251-258.

[3] Pelet P, Engheta N. The theory of chirowaveguides [J]. IEEE Transactions on Antennas and Propagation, 1990, 38(1): 90-98.

[4] Shadrivov I V, Sukhorukov A A, Kivshar Y S. Guided modes in negative-refractive-index waveguides [J]. Physical Review E, 2003, 67(5): 057602.
[5] Pendry J B. Negative refraction makes a perfect lens [J]. Physical Review Letters, 2000, 85(18):3966.

[6] Zhang S, Park Y S, Li J, et al. Negative refractive index in chiral metamaterials [J]. Physical Review Letters, 2009, 102(2): 023901.

[7] Wang B, Zhou J, Koschny T, et al. Nonplanar chiral metamaterials with negative index [J]. Applied Physics Letters, 2009, 94(15): 151112.

[8] Wongkasem N, Akyurtlu A, Marx K A, et al. Development of chiral negative refractive index metamaterials for the terahertz frequency regime [J]. IEEE Transactions on Antennas and Propagation, 2007, 55(11): 3052-3062.

[9] Zarifi D, Soleimani M, Nayyeri V. Dual-and multiband chiral metamaterial structures with strong optical activity and negative refraction index [J]. Antennas and Wireless Propagation Letters, 2012, 11: 334-337.

[10] Oksanen M, Koivisto P K, Lindell I V. Dispersion curves and fields for a chiral slab waveguide [C]// IEE Proceedings-H (Microwaves, Antennas and Propagation). 1991: 327-334.

[11] Baqir M A, Choudhury P K. On the energy flux through a uniaxial chiral metamaterial made circular waveguide under PMC boundary [J]. Journal of Electromagnetic Waves and Applications, 2012, 26(16): 2165-2175.

[12] Lindell I V, Sihvola A H. Perfect electromagnetic conductor [J]. Journal of Electromagnetic Waves and Applications, 2005, 19(7): 861-869.

PMC边界手征负折射平板波导模式特性及场分布

Modes and fields for a chiral negative refraction parallel-plate waveguide under PMC boundary

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