用電磁場算子理論求波導(dǎo)復(fù)合系統(tǒng)的本征值
Computation of the eigenvalue of compound waveguide system by electromagnetic operator theory
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摘要: 該文用并矢格林函數(shù)方法通過虛擬邊界的電場和磁場的耦合求解波導(dǎo)復(fù)合結(jié)構(gòu)的本征值，所采用的并矢格林函數(shù)沒有奇異項(xiàng)，可以用標(biāo)量格林函數(shù)來表示并進(jìn)行計(jì)算，因此不僅可以計(jì)算橫電與橫磁模的基模和高次模式，還可以計(jì)算存在兩個孿生模式的復(fù)合系統(tǒng)。該文同時還對經(jīng)典場論中常用的一些定理，如面旋度定理進(jìn)行了探討。
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關(guān)鍵詞:
- 并矢格林函數(shù); 本征值; 面旋度定理
Abstract: The eigenvalues of compound waveguide system are solved by using the method of dyadic Greens function by matching the electric and magnetic field on a virtual boundary. As the chosen dyadic Greens function has no singularity and can be calculated by scalar Greens function, the method can be applied not only in the computation of dominant and higher modes for TE and TM waves, but also in the computation of compound system with twin modes, In addition, some theorems in classical field theory such as rotation theorem on surface are discussed in this paper. -
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