dorsal/arxiv
View SchemaThe spectral and polarization characteristics of the nonspherically decaying radiation generated by polarization currents with superluminally rotating distribution patterns
| Authors | H. Ardavan, A. Ardavan, J. Singleton |
|---|---|
| Categories | |
| ArXiv ID | physics/0301083 |
| URL | https://arxiv.org/abs/physics/0301083 |
| DOI | 10.1364/JOSAA.21.000858 |
Abstract
We present a theoretical study of the emission from a superluminal polarization current whose distribution pattern rotates (with an angular frequency $\omega$) and oscillates (with a frequency $\Omega $) at the same time, and which comprises both poloidal and toroidal components. This type of polarization current is found in recent practical machines designed to investigate superluminal emission. We find that the superluminal motion of the distribution pattern of the emitting current generates localized electromagnetic waves that do not decay spherically, i.e. that do not have an intensity diminishing like ${R_P}^{-2}$ with the distance $R_P$ from their source. The nonspherical decay of the focused wave packets that are emitted by the polarization currents does not contravene conservation of energy: the constructive interference of the constituent waves of such propagating caustics takes place within different solid angles on spheres of different radii ($R_P$) centred on the source. For a polarization current whose longitudinal distribution (over an azimuthal interval of length $2\pi$) consists of $m$ cycles of a sinusoidal wave train, the nonspherically decaying part of the emitted radiation contains the frequencies $\Omega \pm m\omega$; i.e. it contains {\it only} the frequencies involved in the creation and implementation of the source. This is in contrast to recent studies of the spherically decaying emission, which was shown to contain much higher frequencies. The polarization of the emitted radiation is found to be linear for most configurations of the source.
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"abstract": "We present a theoretical study of the emission from a superluminal\npolarization current whose distribution pattern rotates (with an angular\nfrequency $\\omega$) and oscillates (with a frequency $\\Omega $) at the same\ntime, and which comprises both poloidal and toroidal components. This type of\npolarization current is found in recent practical machines designed to\ninvestigate superluminal emission. We find that the superluminal motion of the\ndistribution pattern of the emitting current generates localized\nelectromagnetic waves that do not decay spherically, i.e. that do not have an\nintensity diminishing like ${R_P}^{-2}$ with the distance $R_P$ from their\nsource. The nonspherical decay of the focused wave packets that are emitted by\nthe polarization currents does not contravene conservation of energy: the\nconstructive interference of the constituent waves of such propagating caustics\ntakes place within different solid angles on spheres of different radii ($R_P$)\ncentred on the source. For a polarization current whose longitudinal\ndistribution (over an azimuthal interval of length $2\\pi$) consists of $m$\ncycles of a sinusoidal wave train, the nonspherically decaying part of the\nemitted radiation contains the frequencies $\\Omega \\pm m\\omega$; i.e. it\ncontains {\\it only} the frequencies involved in the creation and implementation\nof the source. This is in contrast to recent studies of the spherically\ndecaying emission, which was shown to contain much higher frequencies. The\npolarization of the emitted radiation is found to be linear for most\nconfigurations of the source.",
"arxiv_id": "physics/0301083",
"authors": [
"H. Ardavan",
"A. Ardavan",
"J. Singleton"
],
"categories": [
"physics.optics",
"physics.ins-det",
"physics.space-ph"
],
"doi": "10.1364/JOSAA.21.000858",
"title": "The spectral and polarization characteristics of the nonspherically decaying radiation generated by polarization currents with superluminally rotating distribution patterns",
"url": "https://arxiv.org/abs/physics/0301083"
},
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