dorsal/arxiv
View SchemaThoughtful comments on 'Bessel beams and signal propagation'
| Authors | E. Capelas de Oliveira, W. A. Rodrigues Jr., D. S. Thober, A. L. Xavier |
|---|---|
| Categories | |
| ArXiv ID | physics/0103087 |
| URL | https://arxiv.org/abs/physics/0103087 |
| DOI | 10.1016/S0375-9601(01)00289-4 |
Abstract
In this paper we present thoughtful comments on the paper `Bessel beams and signal propagation' showing that the main claims of that paper are wrong. Moreover, we take the opportunity to show the non trivial and indeed surprising result that a scalar pulse (i.e., a wave train of compact support in the time domain) that is solution of the homogeneous wave equation (vector ($\vec{E},\vec{B}$) pulse that is solution of Maxwell equations) is such that its {\em wave front} in some cases does travel with speed {\em greater} than $c$, the speed of light . In order for a pulse to posses a front that travels with speed $c$, an additional condition must be satisfied, namely the pulse must have finite energy. When this condition is fulfilled the pulse still can show peaks propagating with superluminal (or subluminal) velocities, but now its wave front travels at speed $c$. These results are important because they explain several experimental results obtained in recent experiments, where superluminal velocities have been observed, without implying in any breakdown of the Principle of Relativity.
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"abstract": "In this paper we present thoughtful comments on the paper `Bessel beams and\nsignal propagation\u0027 showing that the main claims of that paper are wrong.\nMoreover, we take the opportunity to show the non trivial and indeed surprising\nresult that a scalar pulse (i.e., a wave train of compact support in the time\ndomain) that is solution of the homogeneous wave equation (vector\n($\\vec{E},\\vec{B}$) pulse that is solution of Maxwell equations) is such that\nits {\\em wave front} in some cases does travel with speed {\\em greater} than\n$c$, the speed of light . In order for a pulse to posses a front that travels\nwith speed $c$, an additional condition must be satisfied, namely the pulse\nmust have finite energy. When this condition is fulfilled the pulse still can\nshow peaks propagating with superluminal (or subluminal) velocities, but now\nits wave front travels at speed $c$. These results are important because they\nexplain several experimental results obtained in recent experiments, where\nsuperluminal velocities have been observed, without implying in any breakdown\nof the Principle of Relativity.",
"arxiv_id": "physics/0103087",
"authors": [
"E. Capelas de Oliveira",
"W. A. Rodrigues Jr.",
"D. S. Thober",
"A. L. Xavier"
],
"categories": [
"physics.class-ph"
],
"doi": "10.1016/S0375-9601(01)00289-4",
"title": "Thoughtful comments on \u0027Bessel beams and signal propagation\u0027",
"url": "https://arxiv.org/abs/physics/0103087"
},
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