扭轉(zhuǎn)矩形波導(dǎo)主模傳播常數(shù)的變分解
A VARIATIONAL SOLUTION OF THE PROPAGATION COEFFICIENT OF THE DOMINANT MODE IN TWISTED RECTANGULAR WAVEGUIDE
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摘要: 本文應(yīng)用非標(biāo)準(zhǔn)本征值問題的變分方法求解了扭轉(zhuǎn)矩形波導(dǎo)的傳播常數(shù),并同傳統(tǒng)的微擾解做了比較。結(jié)果表明,變分解既沒有不易處理的無窮級數(shù),且在二階近似時,其精度超過了微擾解的精度,在扭轉(zhuǎn)角周期較大時則更顯優(yōu)越。Abstract: A variational expression of the propagation coefficient of the dominant mode in twisted rectangular waveguide is derived on the basis of the theory of the nonstandard eigenvalue problems, and the numerical results are compared with that of perturbation approach. It illustrates that there is no infinite series in the variational expression, and the variational results are more accurate than the perturbational ones, especially when the twisted angular period becomes bigger.
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Lewin L, Chang D C, Kuester E F. Electromagnetic Wave and Curved Structures, Peter Peregrinus LTD, 1977, Chap.3.[2]連漢雄編著.電磁場理論的數(shù)學(xué)方法.北京:理工大學(xué)出版社,1990,第十一章.[3]Linden I V. IEEE Trans. on MTT, 1982, MTT-30(8): 1194-1204. -
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