Acoustics

Acoustics

One-Way Wave Equation Derived from Impedance Theorem

Yazarlar: Oskar Bschorr and Hans-Joachim Raida

Cilt 2 , Sayı 1 , 2020 , Sayfalar 164-170

Konular:-

DOI:10.3390/acoustics2010012

Anahtar Kelimeler:One-way wave equation,1st order wave equation,Two-way wave equation,2nd order wave equation,Impedance theorem,Longitudinal wave propagation,Inhomogeneous continuum

Özet: The wave equations for longitudinal and transverse waves being used in seismic calculations are based on the classical force/moment balance. Mathematically, these equations are 2nd order partial differential equations (PDE) and contain two solutions with a forward and a backward propagating wave, therefore also called “Two-way wave equation”. In order to solve this inherent ambiguity many auxiliary equations were developed being summarized under “One-way wave equation”. In this article the impedance theorem is interpreted as a wave equation with a unique solution. This 1st order PDE is mathematically more convenient than the 2nd order PDE. Furthermore the 1st order wave equation being valid for three-dimensional wave propagation in an inhomogeneous continuum is derived.

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@article{2020, title={One-Way Wave Equation Derived from Impedance Theorem}, volume={2}, number={164–170}, publisher={Acoustics}, author={Oskar Bschorr and Hans-Joachim Raida}, year={2020} }
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Oskar Bschorr and Hans-Joachim Raida. (2020). One-Way Wave Equation Derived from Impedance Theorem (Vol. 2). Vol. 2. Acoustics.
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Oskar Bschorr and Hans-Joachim Raida. One-Way Wave Equation Derived from Impedance Theorem. no. 164–170, Acoustics, 2020.
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