dorsal/arxiv
View SchemaLocating where Transient Signals Travel in Inhomogeneous Media
| Authors | John L. Spiesberger |
|---|---|
| Categories | |
| ArXiv ID | physics/0501162 |
| URL | https://arxiv.org/abs/physics/0501162 |
| DOI | 10.1080/17455030612331392753 |
| Journal | Waves in Random and Complex Media, Vol. 16, No. 1, 1-21, Feb. 2006 |
Abstract
Locating where transient signals travel between a source and receiver requires a final step that is needed after using a theory of diffraction such as the integral theorem of Helmholtz and Kirchhoff. Introduced here, the final step accounts for interference between adjacent apertures on a phase screen by adaptively adjusting their phase and amplitude, yielding a hierarchy of energy contributions to any desired window of signal travel time at the receiver. The method allows one to check errors in ray theory at finite wavelengths. Acoustic propagation at long distance in the oceanic waveguide (50-100 Hz, 0.05 s resolution) has significant deviations from ray theory. The boundary condition of zero pressure at the surface of the ocean appears to cause sound to travel in a nearly horizontal trajectory for a much greater distance near the surface than predicted by rays. The first Fresnel zone is an inappropriate scale to characterize where transient sounds travel near a ray path as assumed by a standard scattering theory. Instead, the Fresnel zone is too large by an order of magnitude for cases investigated here. Regions where sounds travel can have complicated structures defying a simple length scale. These results are applicable to the physics of underwater sound, optics, radio communication, radar, geophysics, and theories of wave-scattering.
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"abstract": "Locating where transient signals travel between a source and receiver\nrequires a final step that is needed after using a theory of diffraction such\nas the integral theorem of Helmholtz and Kirchhoff. Introduced here, the final\nstep accounts for interference between adjacent apertures on a phase screen by\nadaptively adjusting their phase and amplitude, yielding a hierarchy of energy\ncontributions to any desired window of signal travel time at the receiver. The\nmethod allows one to check errors in ray theory at finite wavelengths. Acoustic\npropagation at long distance in the oceanic waveguide (50-100 Hz, 0.05 s\nresolution) has significant deviations from ray theory. The boundary condition\nof zero pressure at the surface of the ocean appears to cause sound to travel\nin a nearly horizontal trajectory for a much greater distance near the surface\nthan predicted by rays. The first Fresnel zone is an inappropriate scale to\ncharacterize where transient sounds travel near a ray path as assumed by a\nstandard scattering theory. Instead, the Fresnel zone is too large by an order\nof magnitude for cases investigated here. Regions where sounds travel can have\ncomplicated structures defying a simple length scale. These results are\napplicable to the physics of underwater sound, optics, radio communication,\nradar, geophysics, and theories of wave-scattering.",
"arxiv_id": "physics/0501162",
"authors": [
"John L. Spiesberger"
],
"categories": [
"physics.class-ph",
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],
"doi": "10.1080/17455030612331392753",
"journal_ref": "Waves in Random and Complex Media, Vol. 16, No. 1, 1-21, Feb. 2006",
"title": "Locating where Transient Signals Travel in Inhomogeneous Media",
"url": "https://arxiv.org/abs/physics/0501162"
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