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

Abstract

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

CLC Number:

O 441.4

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.

References

[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.

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

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 4

Recommended Articles

Metrics

Comments

[1]	HAO Junli, ZHAO Jing, ZHONG Honggang, XU Zhishuai, LI Renxing, ZHAI Qijie. Coupled numerical simulation on electromagnetic field, flow field and temperature field in round billet secondary cooling zone with PMO [J]. Journal of Shanghai University（Natural Science Edition）, 2018, 24(3): 412-421.
[2]	ZHU Hongda, LEI Zuosheng, GUO Jiahong. Numerical simulation on characteristics of levitated oscillating liquid metal drop in high frequency amplitude-modulated electromagnetic field [J]. Journal of Shanghai University（Natural Science Edition）, 2018, 24(2): 249-256.
[3]	XU Xiao-xue, XIAO Zhong-yin, MA Quan-wen, MA Xiao-long,LIU De-jun, WANG Zi-hua. Dispersion characteristic of symmetric slab waveguide with chiral negative refractive medium [J]. Journal of Shanghai University（Natural Science Edition）, 2015, 21(2): 206-212.
[4]	LIU Yan-Hong, WANG Yan, BAI Li-Hua, XU Jun, SONG Yi-Wen, PANG Wan-Wen, ZHANG Hui-Fang. Dispersion Characteristics of Femtosecond Pulse in Monopotassium Phosphate Crystal [J]. Journal of Shanghai University（Natural Science Edition）, 2011, 17(2): 176-181.