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对纤芯为各向异性左手材料,包层为普通材料的光纤进行了相关研究。首先,从Maxwell方程组出发,得到了各向异性左手材料光纤振荡模的色散方程。根据这些色散方程及其当前左手材料实际结构,同时考虑实际左手材料的频率色散特性,画出了TE、TM、HE和EH振荡模的色散曲线。通过对这些色散曲线的比较、分析,得到了一些振荡模的色散特性。比如:随着频率的增加,有效折射率也单调增加;TM振荡模有一定的群速,而EH振荡模有2个不同的群速,其突变频率约为4.46 GHz。此外,随着模阶数的增加,色散曲线向左上方移动;随着纤芯半径的增加,色散曲线向右下方移动,HE11振荡模的工作频域随着纤芯半径的增加而变宽。总之,这些都是有趣的色散特性,为进一步设计高性能光纤指明了方向。
The fiber is an anisotropic left-handed material, the cladding is a common material for optical fiber related research. First of all, starting from Maxwell’s equations, we obtain the dispersion equation of the oscillation mode of the fiber with anisotropic left-handed material. According to these dispersion equations and the actual structure of the current left-handed material, the dispersion curves of the TE, TM, HE and EH oscillation modes are given considering the frequency dispersion characteristics of the actual left-handed material. Through the comparison and analysis of these dispersion curves, the dispersion characteristics of some oscillation modes are obtained. For example, as the frequency increases, the effective refractive index also monotonically increases; the TM oscillation mode has a certain group velocity, whereas the EH oscillation mode has two different group velocities with a mutation frequency of about 4.46 GHz. In addition, as the order of the mode increases, the dispersion curve shifts to the upper left. As the core radius increases, the dispersion curve shifts to the lower right. The working frequency domain of the HE11 oscillation mode broadens as the core radius increases. In summary, these are interesting dispersion characteristics that point the way to further design of high performance optical fiber.