Investigation of sound wave transmission through a plate with damping coatings in a refined formulation

2020 ◽  
Author(s):  
Vitaly Paimushin ◽  
Ruslan Gazizullin
Keyword(s):  
Sound Wave ◽  
Wave Transmission ◽  
Refined Formulation

Asymptotic expansions for Wiener–Hopf equations

2020 ◽  
pp. 1-34
Author(s):  
Kui Li ◽  
Roderick Wong
Keyword(s):  
Probability Theory ◽  
Plane Wave ◽  
Sound Wave ◽  
Asymptotic Expansions ◽  
Material Science ◽  
Transport Theory ◽  
Wave Transmission ◽  
Hilbert Transforms ◽  
Renewal Equations ◽  
Physical Problems

Wiener–Hopf Equations are of the form [Formula: see text] These equations arise in many physical problems such as radiative transport theory, reflection of an electromagnetive plane wave, sound wave transmission from a tube, and in material science. They are also known as the renewal equations on the half-line in Probability Theory. In this paper, we present a method of deriving asymptotic expansions for the solutions to these equations. Our method makes use of the Wiener–Hopf technique as well as the asymptotic expansions of Stieltjes and Hilbert transforms.

Simulation of Sound Wave Propagation With Damping for Realistic Sound rendering for Games and Interactive Applications

2012 ◽  
Author(s):  
Bruno Moreira ◽  
Mauricio Kischinhevsky ◽  
Marcelo Zamith ◽  
Esteban Clua ◽  
Diego Brandao
Keyword(s):  
Wave Propagation ◽  
Sound Wave ◽  
Interactive Applications ◽  
Sound Rendering
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