dorsal/arxiv
View SchemaLocalized wave solutions of the scalar homogeneous wave equation and their optical implementation
| Authors | Kaido Reivelt, Peeter Saari |
|---|---|
| Categories | |
| ArXiv ID | physics/0309079 |
| URL | https://arxiv.org/abs/physics/0309079 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
In recent years the topic of localized wave solutions of the homogeneous scalar wave equation, i.e., the wave fields that propagate without any appreciable spread or drop in intensity, has been discussed in many aspects in numerous publications. In this review the main results of this rather disperse theoretical material are presented in a single mathematical representation - the Fourier decomposition by means of angular spectrum of plane waves. This unified description is shown to lead to a transparent physical understanding of the phenomenon as such and yield the means of optical generation of such wave fields.
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"abstract": "In recent years the topic of localized wave solutions of the homogeneous\nscalar wave equation, i.e., the wave fields that propagate without any\nappreciable spread or drop in intensity, has been discussed in many aspects in\nnumerous publications. In this review the main results of this rather disperse\ntheoretical material are presented in a single mathematical representation -\nthe Fourier decomposition by means of angular spectrum of plane waves. This\nunified description is shown to lead to a transparent physical understanding of\nthe phenomenon as such and yield the means of optical generation of such wave\nfields.",
"arxiv_id": "physics/0309079",
"authors": [
"Kaido Reivelt",
"Peeter Saari"
],
"categories": [
"physics.optics"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Localized wave solutions of the scalar homogeneous wave equation and their optical implementation",
"url": "https://arxiv.org/abs/physics/0309079"
},
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"variant": "snapshot-2026-03-01",
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