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題名 | Plane Wave Superposition Approach for Dyadic 3D Green's Function in Planar Multilayer Media=以平面波合成法求多層介質之矩陣三維格林函數 |
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作者姓名(中文) | 吳明典; 竺福來; | 書刊名 | 大同學報 |
卷期 | 25 1995.11[民84.11] |
頁次 | 頁239-248+439 |
分類號 | 448 |
關鍵詞 | 平面波合成法; 矩陣三維格林函數; |
語文 | 英文(English) |
中文摘要 | 多層介質之矩陣三維格林函數將以一簡單之平面波合成法求得,此法儘使用所熟 知之平面波特性而不需利用如向量位函數( vector potential )法之向量位函數或全波( full-wave )法中之傳輸線方程式。首先,將一任意方向之三維波源透過富氏轉換分解成平 面波形式,再利用多層介質中之平面波特性及滿足波源位置之邊界條件以求得任一層之電場 分量,最後再將此電場分量合成起來即為其矩陣三維格林函數。於推導過程中,垂直電流部 分將以一平行等效磁流代之。此法之推導儘使用簡單之平面波概念而其結果與前人相同,且 每一推導步驟均有清楚之物理意義。 |
英文摘要 | A simple approach is presented for the formulation of a dyadic 3D Green's function for a planar multilayer medium. The plane wave superposition method presented here uses only the characteristic of plane wave well-known in textbooks and calls for neither the utilization of vector potential as the vector potential method nor the formulation of transmission line equations as the general full-wave techniques. According to this method, the decomposition of an arbitrarily oriented tridimensional source is first presented in the plane wave form by means of a Fourier transform; next, the characteristics of plane wave in multilayer media and matching boundary condition at the source position are used to get the field components in any layer, finally, the dyadic 3D green's function can be obtained from the superposition of such field components in any layer. In the derivation, the vertical current part is replaced with an equivalent transverse magnetic current which is easily handled for the boundary condition. The formulation of this method uses only the simple plane wave concepts and derivations with the same results as those previously presented. In addition, the physical meaning of every derived procedure is much clearer in comparison with others. |
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