Analysis of the time domain acoustic scattering from open cavities

2018/09/16 by Bo Chen, Chen, Bo, Fuming Ma +3
Engineering · Physics and Astronomy · #Analysis of PDEs (math.AP) #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Microwave Imaging and Scattering Analysis

paper · pdf · doi:10.48550/arxiv.1809.05795

openalex publication_date 2018/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is concerned with the analysis of the time domain acoustic scattering from two-dimensional open cavities. A transparent boundary condition is developed to reformulate the scattering problem into an equivalent initial boundary value problem in the interior domain of the open cavity. The well-posedness, that is, the existence, uniqueness and stability of the solution to the reduced problem are studied via a "Laplace domain" to time domain analysis. Moreover, time domain boundary integral equations for the reduced problem are established.

Related

• Analysis of transient acoustic scattering by an elastic obstacle
• Analysis of Time-domain Electromagnetic Scattering Problem by Multiple Cavities
• Analysis of the acoustic waves reflected by a cluster of small holes in the time-domain and the equivalent mass density
• On the stability of time-domain integral equations for acoustic wave\n propagation
• The temporal domain derivative in inverse acoustic obstacle scattering