A parabolic equation for penetrable rough surfaces: using the Foldy-Wouthuysen transformation to buffer density jumps

DOI10.1016/j.aop.2003.11.006zbMath1284.76340OpenAlexW2028829353WikidataQ64005217 ScholiaQ64005217MaRDI QIDQ1826734

Daniel Wurmser

Publication date: 6 August 2004

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aop.2003.11.006

zbMATH Keywords

parabolic equationacousticsrough surfacesvirtual particles

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydro- and aero-acoustics (76Q05) Parabolic equations and parabolic systems (35K99)

Cites Work

• Wave propagation and underwater acoustics
• A range refraction parabolic equation
• Coherent component of specular reflection and transmission at a randomly rough two-fluid interface
• On the Dirac Theory of Spin 1/2 Particles and Its Non-Relativistic Limit
• The W.K.B. approximation as the first term of a geometric‐optical series
• Conversion of an Amplified Dirac Equation to an Approximately Relativistic Form
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