Electromagnetic fields in circular bends of slab waveguides
Electromagnetic fields in circular bends of slab waveguides
复制标题
平板波导圆形弯曲中的电磁场
DOI：
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发表时间：
1989
期刊：
影响因子：
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通讯作者：
N. Morita
中科院分区：
文献类型：
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作者：
R. Yamada;N. Morita
本文提出了一种严格分析平板波在均匀弯曲的有限长截面上的透射和辐射的方法。本文首先定义了与直波导辐射模相似的具有连续本征值的本征模来表示平板波导圆弯曲处的场，并导出了这些本征模的一种正交关系。利用辐射条件和傅里叶变换技术，证明了这些本征模的谱积分可以给出圆弯曲截面上的场的严格表达式。该理论被应用于分析场的瞬态现象中的均匀弯曲的部分连接到直的部分。给出了场分布和辐射图的数值例子，并对结果进行了详细的讨论。
A method for rigorous analysis of transmission in and radiation from a uniformly bent finite-length section of a slab wave length is proposed. The eigenmodes with continuous eigenvalues, which are similar to the radiation modes of the straight waveguide, are defined first for expressing fields in circular bends of slab waveguides, and a kind of orthogonality relation for these eigenmodes is derived. The spectral integral of these eigenmodes can give a rigorous expression of fields in circularly bent sections, which is proved by using the radiation condition and the Fourier transformation technique. The theory is applied to the analysis of transient phenomena of fields in the uniformly bent section connected to the straight section. Numerical examples of transition of field distributions and radiation patterns are presented and the results are discussed in detail.