▎ 摘　　要

An elliptical dielectric nanowire waveguide with a nested eccentric hollow cylinder is designed, the innersurface and the outer surface of the waveguide are both coated with graphene. The transmission characteristicsof the three lowest order modes supported by the waveguide, i.e. the field distribution, the real part of theeffective refractive index, the propagation length, and the quality factor, are obtained by multipole method. Theresults show that the three lowest order modes of the waveguide can be synthesized by the lowest order modessupported by a single cylinder and an elliptic cylinder coated with graphene. With the increase of the radius ofthe embedded cylinder, the three evaluation indexes of the waveguide increase slightly. The change of the semimajor axis of the ellipse will slightly increase the real part of the effective refractive index, propagation lengthand quality factor of Mode 0 and Mode 1, while Mode2 will slightly decrease. When , theperformance of the circular nested circular waveguide becomes slightly worse than that of the structure in thispaper. With the decrease of the semi minor axis of the ellipse, the real part of the effective refractive index,propagation length and quality factor for each of the three modes increase to a certain extent, and have thegreatest impact on Mode 1. When , the transmission performance of the circular nested circularwaveguide is not so good as that of the structure in this paper. When the distance between the inner rod andthe outer rod on the right side increases, the real part of the effective refractive index for each of the threemodes decreases, the propagation length and quality factor of Mode 0 and Mode1 gradually decrease, while thepropagation length of Mode 2 increases slightly, and the quality factor is basically unchanged. On the contrary,the mode transmission performance can be significantly improved by increasing the working wavelength andFermi energy and reducing the dielectric constant of elliptical dielectric nanowires. Compared with the circulardielectric nanowire waveguide nested with an eccentric hollow cylinder coated with graphene, the waveguidedesigned in this paper can be found to have a good transmission performance. These results are verified by thefinite element method. This waveguide can provide a theoretical basis for the design, fabrication and applicationof nested waveguides of the same type.