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瞬态脉冲照射下一维时域散射与逆散射的有限差分法数值模拟

The Numeral Analogy of Time Domain One Dimensional Scattering and Inverse Scattering
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摘要 本文介绍了从微分方程入手,研究时域一维电磁场正、逆散射问题的一种数值方法:有限差分法。得出了正、逆问题求解的一般递推公式。给出了正散射模拟的实例和具有代表性的介电系数剖面(不连续剖面、连续剖面)重建的结果。在散射信息无噪声的条件下,所得的重建结果经与用其它方法所得的结果相比较,有限差分法具有简单、精确的优点。 A nuineral method,limited differential method,is introduced in the paper.This method is applred to the scattering and inverse scattering analysis of time domain one dimensional electromagnetic problems in the angle of second degree differential equation. The general recurrence relationships are presented,which are derived from the discre- tized second degree differential eguation.The result of scattering analogy and the re- construction of some typical dielectric profiles are given.Comparing the results of re- construction profile with that obtained by using other method,we can see that the limited differential method is simpler and more accurate under the condition of noise- free scattering data.
作者 李莉
出处 《电波科学学报》 EI CSCD 1989年第1期37-44,共8页 Chinese Journal of Radio Science
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