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对芯层为左手材料而覆盖层和衬底均为不同普通材料的三层平面波导进行了探讨。考虑损耗、色散和各向异性的左手材料,利用TE模的色散方程,结合模阶数、波导厚度以及电磁衰减系数的变化,画出了相关的色散曲线和损耗曲线。根据这些曲线,发现对于TE2模,在频率为4.03GHz附近,波导厚度为5mm,它有非常大的有效折射率(接近80);当频率从4.0GHz增加到6.0GHz,色散曲线的斜率为正、零和负。正斜率为正常色散,负斜率为反常色散,零斜率则群速为零。对于高阶TE模,当频率为4.03GHz时,它的损耗是最大的;当频率超过5.0GHz后,波导厚度以及电磁衰减常数的变化对TE模的损耗特性影响不大,这些新特性为制备小型化的波导器件提供了理论基础。
The three-layer planar waveguides, in which the core is the left-handed material and the cladding and the substrate are all different general materials, are discussed. Taking into account the loss, dispersion and anisotropy of the left-handed material, the dispersion curve and the loss curve are plotted using the dispersion equation of TE mode, combined with the change of mode order, waveguide thickness and electromagnetic attenuation coefficient. From these curves, it was found that for the TE2 mode the waveguide has a very high effective refractive index (close to 80) around a frequency of 4.03 GHz and a very large effective refractive index (close to 80); the slope of the dispersion curve is positive as the frequency increases from 4.0 GHz to 6.0 GHz , Zero and negative. Positive slope is normal dispersion, negative slope is anomalous dispersion, zero slope is group velocity is zero. For high-order TE mode, the loss is the largest when the frequency is 4.03GHz. When the frequency exceeds 5.0GHz, the change of waveguide thickness and electromagnetic decay constant has little effect on the loss characteristics of TE mode. The miniaturized waveguide device provides the theoretical basis.