介质折射率对矩形波导有效折射率的影响
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摘要
基于电磁波动理论,通过马卡梯里法近似求解矩形波导模式特征方程,研究介质折射率对矩形波导有效折射率的影响。结果表明:无论模阶数取何值,矩形波导有效折射率随芯层折射率的增大而增大,随包层折射率的增大而减小;当芯层与包层折射率比保持不变时,随介质折射率的增大而增大;当孔径数值变大到某一数值,有效折射率均出现简并现象。这些影响规律对矩形波导的实际应用具有一定的理论指导意义。
The study uses Marca ladder in approximation theory and electromagnetic waves theory to solve characteristic equation of the rectangular waveguide mode,and research the influence of the refractive index on the effective refractive index in rectangular waveguide. The result shows that whatever the value of mode order is,the effective refractive index in rectangular waveguide increases with the increase of the core refractive index and decreases with the increase of the cladding refractive index; when the ratios of the core refractive index and the cladding refractive index remain constant,the number of the effective refractive index is increased with the increase of the refractive index of the medium; the curve of the effective refractive index begins to degenerate when the numerical aperture becomes large to a certain value. These laws can provide theoretical guide to study the practical application of a rectangular waveguide.
The study uses Marca ladder in approximation theory and electromagnetic waves theory to solve characteristic equation of the rectangular waveguide mode,and research the influence of the refractive index on the effective refractive index in rectangular waveguide. The result shows that whatever the value of mode order is,the effective refractive index in rectangular waveguide increases with the increase of the core refractive index and decreases with the increase of the cladding refractive index; when the ratios of the core refractive index and the cladding refractive index remain constant,the number of the effective refractive index is increased with the increase of the refractive index of the medium; the curve of the effective refractive index begins to degenerate when the numerical aperture becomes large to a certain value. These laws can provide theoretical guide to study the practical application of a rectangular waveguide.
引文
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[2]佘守宪.导波光学物理基础[M].北京:北方交通大学出版社,2002:124-152.
[3]马春生,刘式墉.光波导模式理论[M].长春:吉林大学出版社,2006:172-203.
[4]蒙成举,卢强华,欧梅莲,等.单负材料填充包层的矩形波导模式特性[J].广西科学,2015,22(1):94-98.
[5]吴美燕,罗砚浓,欧梅莲,等.含左手材料四层平板波导的模式特性[J].广西科学,2015,22(1):99-103.
[6]潘继环,张元文.芯层宽度对矩形波导有效折射率的影响[J].河池学院学报,2015,35(5):46-49.
[7]唐裕霞,罗成,彭家华.分别含左右手材料的三层平板波导中光导模的比较研究[J].重庆工商大学学报(自然科学版),2014,31(7):63-69,76.
[8]许江勇,段国华,张卫龙,等.Metal-LHM-Metal三层对称平板波导的传输特性研究[J].广西科学,2012,19(3):236-238.
[9]潘继环,苏安,唐秀福,等.缺陷奇偶性对光子晶体光传输特性的影响[J].激光与红外,2015,45(6):706-709.
[10]张静,何英,李春芳,等.包含左手材料的四层平板波导中的光导模[J].光学学报,2009,29(10):2673-2680.
[11]王振永,周骏,张玲芬,等.左手介质矩形波导导模和表面模的场分布[J].光学学报,2008,28(8):1558-1564..
[12]诸一琦,陈宪锋,杨烨.特异材料对矩形波导导波模式的影响[J].常州工学院学报,2013,26(5):20-24.
[13]韦吉爵,苏安,唐秀福,等.缺陷对一维光子晶体滤波性能的调制[J].红外与激光工程,2015,44(S1):168-172.
[14]苏安,蒙成举,高英俊.激活性杂质对光子晶体量子阱滤波器特性的调制[J].中国激光,2014,41(3):0306001.