介质参数对左右手材料光波导传输性能的影响

Effect of Dielectric Parameters on Optical Waveguide Transmission Performance of Left and Right Hand Materials

构建芯层为左手材料包裹层为右手材料的光波导模型,利用转移矩阵方法对模式本征方程进行多模式求解,研究介质参数对传输性能的影响。结果表明:当归一化频率极限小时,左右手材料对称光波导的基模不会消失;ε'μ'>εμ(ε'和μ'、ε和μ依次分别为芯层、包裹层介质的介电常数和磁导率),总波矢的平方差R^2=0. 5、-μ/μ'=0. 8的光波导能产生1个的表面波,R^2=1. 15、-μ/μ'=1. 1的光波导能产生3个表面波,0 <D <0. 68 cm(D为芯层厚度)的偶数模能量被局域在导波层内侧,D> 0. 78 cm的奇数模能量被局域在导波层外侧;频率为4. 75 GHz、ε'μ'>εμ、-1 <μ'<0、-μ/μ'> 1时,D=0. 7 cm、传播常数为4 cm^(-1)的光波导能承载3个导波模式;频率为5. 50 GHz、ε'μ'<εμ、μ'<-1、-μ/μ'> 1时,D <0. 11 cm的光波导的两个分界面上能产生2个表面波,D> 0. 11 cm的光波导两个分界面上不产生表面波,D=0. 11 cm表面波的正归一化能量被局域在导波层外表面,而表面波的负归一化能量被局域在导波层内表面,正能量振幅衰减较慢于负能量;模系数m对表面波和导波模式的电场分布有着显著的影响。

The optical waveguide model with core layer as the left-hand material and wrapping layer as the right hand material is used to solve the pattern eigenvalue equation by using the transfer matrix method,and the influence of dielectric parameters on the transmission performance is studied. Results show: when normalized frequency is extremely small,the fundamental mode of the symmetric optical waveguide of LHM and RHM will not disappear;when ε’μ’ > εμ( ε’ and μ’,ε and μ represent the dielectric constants and magnetic permeabilities of the core layer and the cladding layer,respectively),the optical waveguide with difference of squares of total wave vector R2=0. 5,-μ/μ’ = 0. 8 will generate 1 surface wave,the optical waveguide with R2= 1. 15,-μ/μ’ = 1. 1 will generate3 surface waves,the energy of the even-mode with 0 < D < 0. 68 cm( D is the thickness of the core layer) is localized inside the guided wave layer,while that of the odd-mode with D > 0. 78 cm is localized out of the guided wave layer;when the frequency is 4. 75 GHz,ε’ μ’ > εμ,-1 < μ’ < 0,-μ/μ’ > 1,the optical waveguide with D = 0. 7 cm,propagation constant is 4 cm-1 can carry 3 guided wave modes;when the frequency is 5. 50 GHz,ε’μ’ < εμ,μ’ <-1,-μ/μ’ > 1,the two interfaces of the optical waveguide with D > 0. 11 cm will not generate any surface wave,the positively normalized energy of the surface wave with D = 0. 11 cm is localized on the outer surface of the waveguide layer,while the negatively normalized energy of the surface wave is localized on the inner surface of the guided wave layer,the amplitude of the positive energy attenuates at a rate less than that of the negative energy;the mode coefficient m has a significant influence on the electric field distribution of the surface waves and the guided wave modes.