非正交FD-TD法在二維涂敷導體TM散射問題中的應用
THE APPLICATION OF NONORTHOGONAL FD-TD ALGORITHM IN 2-D TM SCATTERING PROBLEMS OF CONDUCTING CYLINDERS COATED WITH ABSORBING MATERIALS
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摘要: 本文全面介紹了非正交FD-TD方法的基本原理,推導出了其穩(wěn)定條件和數值色散方程,并對其數值色散特性進行了詳細分析研究。用非正交FD-TD方法在正弦波激勵下對無限長三角形導體柱TM散射電流進行了計算,與矩量法(MM)結果基本吻合,證明了其有效性。在此基礎上對涂敷多邊形導體柱的TM散射問題進行了計算,得出遠區(qū)單站RCS結果,同時為了比較給出了分別用非正交FD-TD法和等效源法計算涂敷方形導體柱的散射場分布的結果。
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關鍵詞:
- 電磁散射; 時域有限差分; 導體柱
Abstract: The foundational principle of the nonorthogonal PD-TD algorithm is introduced, and its stability condition and dispersion equation are derived. The numerical dispersion characteristics of this method are analyzed in detail. In order to show its validity the scattering surface currents of perfectly conducting cylinder are calculated by using this method when the incident wave is sinusoidal plane wave in TM case. The numerical results agree with that by moment method very well. Then the TM scattering problem of polygon cylinder coated with absorbing material is studied and the monostatic RCS of the target is obtained. For comparison with results of equivalent source method the electric scattering distribution pattern of square cylinder coated with absorbing material is also obtained by using nonorthogonal FD-TD. -
Lee J F. IEEE Trans. on MTT, 1992, MTT-49(2): 346-352.[2]Holland R, et al. IEEE Trans. on NS, 1983, NS-30(6): 4689-4691.[3]Fusco M. IEEE Trans. on AP, 1990, AP-38(1): 76-88.[4]Madsen N. Wave Motion, 1988, 10(6): 583-596.[5]Mur G. IEEE Trans. on EMC, 1981, EMC-23(4): 377-382.[6]Yamashita E. Analysis methods for electromagnetic wave problems. Boston: Artech House, 1990,203-211. -
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