| dc.contributor.author |
Hoop, Maarten V. de |
|
| dc.contributor.author |
Kykkänen, Antti |
|
| dc.contributor.author |
Mishra, Rohit Kumar |
|
| dc.coverage.spatial |
United States of America |
|
| dc.date.accessioned |
2025-09-12T11:18:58Z |
|
| dc.date.available |
2025-09-12T11:18:58Z |
|
| dc.date.issued |
2025-09 |
|
| dc.identifier.citation |
Hoop, Maarten V. de; Kykkänen, Antti and Mishra, Rohit Kumar, "The head wave transform", arXiv, Cornell University Library, DOI: arXiv:2509.01623, Sep. 2025. |
|
| dc.identifier.issn |
2331-8422 |
|
| dc.identifier.uri |
https://doi.org/10.48550/arXiv.2509.01623 |
|
| dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/12124 |
|
| dc.description.abstract |
We introduce and study a new integral ray transform called the head wave transform. The head wave transform integrates a function along a piecewise linear (in general geodesic) path consisting of three parts. The geometry of such paths corresponds to ray paths of head waves propagating in a medium with sharp changes in sound speed. The middle part of the ray paths corresponds to gliding along the so-called gliding surface. As our main results, we prove inversion formulas and kernel characterizations under multiple different sets of assumptions on the geometry of gliding surface. |
|
| dc.description.statementofresponsibility |
by Maarten V. de Hoop, Antti Kykkänen and Rohit Kumar Mishra |
|
| dc.language.iso |
en_US |
|
| dc.publisher |
Cornell University Library |
|
| dc.title |
The head wave transform |
|
| dc.type |
Article |
|
| dc.relation.journal |
arXiv |
|