含损介质多重散射问题的能量传递过程分析

IF 2.9 3区综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2023-11-01 DOI:10.1098/rspa.2023.0513

Andreas Kalogeropoulos, Nikolaos L. Tsitsas

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引用次数: 0

摘要

研究了非均匀有耗介质中声波传播和散射的能量传递过程。考虑了两个问题:由单点源激发的任意组成的有损散射体簇和由内部点源分布激发的分层有损介质。建立了能量守恒定律和光学定理。确定了有源强度与散射截面的关系以及有源强度与拉格朗日密度的关系。此外，还揭示了所涉及介质的损失对动能的影响。降低到无损介质和接近零的频率值。

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Analysis of the energy transfer process for multiple scattering problems involving lossy media

The energy transfer process for acoustic propagation and scattering in inhomogeneous, lossy media is rigorously investigated. Two problems are considered: an arbitrarily composed cluster of lossy scatterers, excited by a single point source and a layered, lossy medium excited by an internal point-source distribution. Energy conservation laws and optical theorems are established. The connection of active intensity with the scattering cross section and the relation between reactive intensity and Lagrangian density are determined. Furthermore, the influence of the losses of the involved media to the kinetic energy is unveiled. Reductions to lossless media and near-zero frequency values are derived.

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来源期刊

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 综合性期刊-综合性期刊

CiteScore

6.40

自引率

5.70%

发文量

227

审稿时长

3.0 months

期刊介绍： Proceedings A has an illustrious history of publishing pioneering and influential research articles across the entire range of the physical and mathematical sciences. These have included Maxwell"s electromagnetic theory, the Braggs" first account of X-ray crystallography, Dirac"s relativistic theory of the electron, and Watson and Crick"s detailed description of the structure of DNA.