dorsal/arxiv
View SchemaTheory of Frozen Waves
| Authors | M. Zamboni-Rached, E. Recami, H. E. Hernandez-Figueroa |
|---|---|
| Categories | |
| ArXiv ID | physics/0502105 |
| URL | https://arxiv.org/abs/physics/0502105 |
| DOI | 10.1364/JOSAA.22.002465 |
| Journal | Journal of the Optical Society of America A22 (2005) 2465-2475 |
Abstract
In this work, starting by suitable superpositions of equal-frequency Bessel beams, we develop a theoretical and experimental methodology to obtain localized stationary wave fields, with high transverse localization, whose longitudinal intensity pattern can approximately assume any desired shape within a chosen interval 0 < z < L of the propagation axis z. Their intensity envelope remains static, i.e. with velocity v=0; so that we have named ``Frozen Waves" (FW) these new solutions to the wave equations (and, in particular, to the Maxwell equations). Inside the envelope of a FW only the carrier wave does propagate: And the longitudinal shape, within the interval 0 < z < L, can be chosen in such a way that no nonnegligible field exists outside the pre-determined region (consisting, e.g., in one or more high intensity peaks). Our solutions are noticeable also for the different and interesting applications they can have, especially in electromagnetism and acoustics, such as optical tweezers, atom guides, optical or acoustic bistouries, various important medical apparata, etc.
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"abstract": "In this work, starting by suitable superpositions of equal-frequency Bessel\nbeams, we develop a theoretical and experimental methodology to obtain\nlocalized stationary wave fields, with high transverse localization, whose\nlongitudinal intensity pattern can approximately assume any desired shape\nwithin a chosen interval 0 \u003c z \u003c L of the propagation axis z. Their intensity\nenvelope remains static, i.e. with velocity v=0; so that we have named ``Frozen\nWaves\" (FW) these new solutions to the wave equations (and, in particular, to\nthe Maxwell equations). Inside the envelope of a FW only the carrier wave does\npropagate: And the longitudinal shape, within the interval 0 \u003c z \u003c L, can be\nchosen in such a way that no nonnegligible field exists outside the\npre-determined region (consisting, e.g., in one or more high intensity peaks).\nOur solutions are noticeable also for the different and interesting\napplications they can have, especially in electromagnetism and acoustics, such\nas optical tweezers, atom guides, optical or acoustic bistouries, various\nimportant medical apparata, etc.",
"arxiv_id": "physics/0502105",
"authors": [
"M. Zamboni-Rached",
"E. Recami",
"H. E. Hernandez-Figueroa"
],
"categories": [
"physics.optics",
"physics.gen-ph",
"physics.med-ph"
],
"doi": "10.1364/JOSAA.22.002465",
"journal_ref": "Journal of the Optical Society of America A22 (2005) 2465-2475",
"title": "Theory of Frozen Waves",
"url": "https://arxiv.org/abs/physics/0502105"
},
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