基于固有解空间的逆散射

IF 1.3 3区物理与天体物理 Q3 ACOUSTICS Journal of Theoretical and Computational Acoustics Pub Date : 2019-10-15 DOI:10.1142/S2591728518500330

A. Hamad, M. Tadi

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引用次数: 3

摘要

本文研究了散射场由亥姆霍兹方程控制的频域逆散射问题。该算法本质上是迭代的。它引入了一种新的方法，我们称之为适当的解空间。它假设未知函数的初始猜测，并获得对猜测值的更正。更新阶段是通过生成一组满足某些所需边界条件的函数来完成的。我们称这个空间为固有解空间。然后可以通过施加剩余的边界条件来获得对假设值的修正。通过数值算例验证了该方法的适用性和有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Inverse Scattering Based on Proper Solution Space

This paper is concerned with an inverse scattering problem in frequency domain, when the scattered field is governed by the Helmholtz equation. The algorithm is iterative in nature. It introduces a new approach which we refer to as proper solution space. It assumes an initial guess for the unknown function and obtains corrections to the guessed value. The updating stage is accomplished by generating a set of functions that satisfy some of the required boundary conditions. We refer to this space as proper solution space. The correction to the assumed value can then be obtained by imposing the remaining boundary conditions. A number of numerical examples are used to study the applicability and effectiveness of the new approach.

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来源期刊

Journal of Theoretical and Computational Acoustics Computer Science-Computer Science Applications

CiteScore

2.90

自引率

42.10%

发文量

期刊介绍： The aim of this journal is to provide an international forum for the dissemination of the state-of-the-art information in the field of Computational Acoustics. Topics covered by this journal include research and tutorial contributions in OCEAN ACOUSTICS (a subject of active research in relation with sonar detection and the design of noiseless ships), SEISMO-ACOUSTICS (of concern to earthquake science and engineering, and also to those doing underground prospection like searching for petroleum), AEROACOUSTICS (which includes the analysis of noise created by aircraft), COMPUTATIONAL METHODS, and SUPERCOMPUTING. In addition to the traditional issues and problems in computational methods, the journal also considers theoretical research acoustics papers which lead to large-scale scientific computations.