<div class="csl-bib-body">
<div class="csl-entry">Lin, C., Melenk, J. M., & Sauter, S. (2024). <i>The Green`s function for an acoustic, half-space impedance problem Part II: Analysis of the slowly varying and the plane wave component</i>. arXiv. https://doi.org/10.48550/arXiv.2408.03587</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/199746
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dc.description.abstract
We show that the acoustic Green’s function for a half-space impedance problem in arbitrary spatial dimension d can be written as a sum of two terms, each of which is the product of an exponential function with the eikonal in the argument and a slowly varying function. We introduce the notion of families of slowly varying functions to formulate this statement as a theorem and present its proof.
en
dc.language.iso
en
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dc.subject
Acoustic scattering
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dc.subject
impedance half-space
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dc.subject
Green’s function
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dc.subject
geometric optics
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dc.subject
Bessel functions
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dc.title
The Green`s function for an acoustic, half-space impedance problem Part II: Analysis of the slowly varying and the plane wave component
