散射問題中的某些近似方法與其應用

On Some Approximation Schemes And Their Applications To Scattering Problems

藍瑞衡(Rui-Heng Lan)

指導教授 ： 王振男

國立臺灣大學/理學院/數學研究所/碩士(2011年)

https://doi.org/10.6342/NTU.2011.10720

摘要

我們將探討二維空間與三維空間中散射問題的某些近似方法。考慮的問題包括不均勻介質與障礙物的單一散射問題。我們討論應用於齊次Helmholtz方程式的克西荷夫近似。應用於非其次Helmholtz方程式的波恩與雷多夫近似也將給予討論。

關鍵字

散射 ； 克西荷夫 ； 波恩 ； 雷多夫

並列摘要

We shall study some approximation schemes in inverse scattering problems in $R^{2}$ and $R^{3}$. Single scattering by an obstacle and by an inhomogeneous medium are of our considerations. We study the Kirchhoff approximation in the homogeneous Helmholtz equation. Some properties of Born and Rytov approximation in the inhomogeneous Helmholtz equation are discussed.

並列關鍵字

Scattering ； Kirchhoff ； Born ； Rytov

參考文獻

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