摘要
本文讨论了用经典场论和算子理论求解重入型谐振腔的格林函数问题 .首先讨论了经典场论中用Hφ的格林函数进行场匹配的方法 ,推导和讨论了Hφ 的格林函数方程组、边界条件和格林函数的求解方法 .这一方法只能用于回旋对称模式 .为了解决耦合腔的问题需要高次模的格林函数 ,本文用算子理论求解了高次模的格林函数 .这一格林函数对于零模与经典场论完全一致 .本文也给出了高次模的格林函数、边界匹配方法和本征值的数值计算 .
The problems on solving resonant frequency of an entrant cavity by classical el ectromagnetic theory and operator theory are discussed.The classical method for boundary field matching by Green's function of H φ is discussed firstly.The eq uation set for Green's function,the boundary conditions and method for solving Green's function are all given.This method can be only used for zero order mode.For hig her order modes operator theory is used.The Green's functions of higher order mo des,the method for boundary field matching and the calculation for eigenvalues o f higher order modes are given.It is an essential condition for solving the pro blems of axially unsymmetrical coupled cavities system.
出处
《电子学报》
EI
CAS
CSCD
北大核心
2005年第3期447-451,共5页
Acta Electronica Sinica
基金
国家自然科学基金 (No .60 0 71 0 0 7)
国防预研项目 (No.51 4 4 0 0 2 0 1 0 3zk1 30 1 )
关键词
电磁场算子理论
格林函数
耦合谐振腔
本征值
operator theory of electromagnetic field
Green's function
coupled resonant cavit y
eigenvalues
