层状介质的聚合激发:散射关系，相互作用截面和物理边界

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED Quarterly of Applied Mathematics Pub Date : 2020-10-13 DOI:10.1090/qam/1581

Andreas Kalogeropoulos, N. Tsitsas

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引用次数: 4

摘要

层状介质由N个外部或内部点源激发。给出了生成声波的边值问题。建立了一般的散射定理和光学定理，这些定理与涉及的场和由源群引起的远场模式有关。定义了相互作用散射截面，导出了相关的物理边界。对这些截面的大N - N行为也进行了研究。数值结果显示了相互作用截面及其物理边界的变化。

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Excitation of a layered medium by 𝑁 sources: Scattering relations, interaction cross sections and physical bounds

A layered medium is excited by N N external or internal point sources. Boundary-value problems for the generated acoustic waves are formulated. General scattering and optical theorems are established relating the involved fields and far-field patterns due to groups of sources. Interaction scattering cross sections are defined and associated physical bounds are derived. The large- N N behavior of these cross sections is also investigated. Numerical results are presented demonstrating the variations of the interaction cross sections and their physical bounds.

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来源期刊

Quarterly of Applied Mathematics 数学-应用数学

CiteScore

1.90

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： The Quarterly of Applied Mathematics contains original papers in applied mathematics which have a close connection with applications. An author index appears in the last issue of each volume. This journal, published quarterly by Brown University with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.