The Green`s function for an acoustic, half-space impedance problem Part II: Analysis of the slowly varying and the plane wave component
<|reference_start|>The Green`s function for an acoustic, half-space impedance problem Part II: Analysis of the slowly varying and the plane wave component: 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.<|reference_end|>
@article{lin2024the,
    title={The Green`s function for an acoustic, half-space impedance problem Part
  II: Analysis of the slowly varying and the plane wave component},
    author={C. Lin, J.M. Melenk, S. Sauter},
    journal={arXiv preprint arXiv:2408.03587},
    year={2024},
    archivePrefix={arXiv},
    eprint={2408.03587},
    primaryClass={math.NA cs.NA}
}