dorsal/arxiv
View SchemaFront Propagation in Evanescent Media
| Authors | M. Buttiker, H. Thomas |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9711019 |
| URL | https://arxiv.org/abs/quant-ph/9711019 |
| DOI | 10.1006/spmi.1997.0540 |
| Journal | Superlattices Microstruct. 23 (1998) 781 |
Abstract
We investigate the time evolution of waves in evanescent media generated by a source within this medium and observed at some distance away from the location of the source. The aim is to find a velocity which describes a causal process and is thus, for a medium with relativistic dispersion, limited by the velocity of light. The wave function consists of a broad frequency forerunner generated by the onset of the source, and of a monochromatic front which carries the oscillation frequency of the source. For a medium with Schr\"{o}dinger-like dispersion the monochromatic front propagates with a velocity which is in agreement with the traversal time, and in the relativistic case the velocity of the fronts is limited by the velocity of light. For sources with a sharp onset, the forerunners are not attenuated and in magnitude far exceed the monochromatic front. In contrast, for sources which are frequency-band limited, the forerunners are also attenuated and become comparable to the monochromatic front: like in the propagating case, there exists a time at which a broad frequency forerunner is augmented by a monochromatic wave.
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"abstract": "We investigate the time evolution of waves in evanescent media generated by a\nsource within this medium and observed at some distance away from the location\nof the source. The aim is to find a velocity which describes a causal process\nand is thus, for a medium with relativistic dispersion, limited by the velocity\nof light. The wave function consists of a broad frequency forerunner generated\nby the onset of the source, and of a monochromatic front which carries the\noscillation frequency of the source. For a medium with Schr\\\"{o}dinger-like\ndispersion the monochromatic front propagates with a velocity which is in\nagreement with the traversal time, and in the relativistic case the velocity of\nthe fronts is limited by the velocity of light. For sources with a sharp onset,\nthe forerunners are not attenuated and in magnitude far exceed the\nmonochromatic front. In contrast, for sources which are frequency-band limited,\nthe forerunners are also attenuated and become comparable to the monochromatic\nfront: like in the propagating case, there exists a time at which a broad\nfrequency forerunner is augmented by a monochromatic wave.",
"arxiv_id": "quant-ph/9711019",
"authors": [
"M. Buttiker",
"H. Thomas"
],
"categories": [
"quant-ph",
"cond-mat.mes-hall"
],
"doi": "10.1006/spmi.1997.0540",
"journal_ref": "Superlattices Microstruct. 23 (1998) 781",
"title": "Front Propagation in Evanescent Media",
"url": "https://arxiv.org/abs/quant-ph/9711019"
},
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