dorsal/arxiv
View SchemaTransverse self-fields within an electron bunch moving in an arc of a circle
| Authors | Gianluca Geloni, Jan Botman, Jom Luiten, Marnix van der Wiel, Martin Dohlus, Evgeni Saldin, Evgeni Schneidmiller, Mikhail Yurkov |
|---|---|
| Categories | |
| ArXiv ID | physics/0205001 |
| URL | https://arxiv.org/abs/physics/0205001 |
| DOI | 10.1016/j.nima.2003.12.010 |
| Journal | Nucl.Instrum.Meth. A522 (2004) 230-251 |
Abstract
As a consequence of motions driven by external forces, self-fields (which are different from the static case) originate within an electron bunch. In the case of magnetic external forces acting on an ultrarelativistic beam, the longitudinal self-interactions are responsible for CSR (Coherent Synchrotron Radiation)-related phenomena, which have been studied extensively. On the other hand, transverse self-interactions are present too. At the time being, existing theoretical analysis of transverse self-forces deal with the case of a bunch moving along a circular orbit only, without considering the situation of a bending magnet with a finite length. In this paper we propose an electrodynamical analysis of transverse self-fields which originate, at the position of a test particle, from an ultrarelativistic electron bunch moving in an arc of a circle. The problem will be first addressed within a two-particle system. We then extend our consideration to a line bunch with a stepped density distribution, a situation which can be easily generalized to the case of an arbitrary density distribution. Our approach turns out to be also useful in order to get a better insight in the physics involved in the case of simple circular motion and in order to address the well known issue of the partial compensation of transverse self-force.
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"abstract": "As a consequence of motions driven by external forces, self-fields (which are\ndifferent from the static case) originate within an electron bunch. In the case\nof magnetic external forces acting on an ultrarelativistic beam, the\nlongitudinal self-interactions are responsible for CSR (Coherent Synchrotron\nRadiation)-related phenomena, which have been studied extensively. On the other\nhand, transverse self-interactions are present too. At the time being, existing\ntheoretical analysis of transverse self-forces deal with the case of a bunch\nmoving along a circular orbit only, without considering the situation of a\nbending magnet with a finite length. In this paper we propose an\nelectrodynamical analysis of transverse self-fields which originate, at the\nposition of a test particle, from an ultrarelativistic electron bunch moving in\nan arc of a circle. The problem will be first addressed within a two-particle\nsystem. We then extend our consideration to a line bunch with a stepped density\ndistribution, a situation which can be easily generalized to the case of an\narbitrary density distribution. Our approach turns out to be also useful in\norder to get a better insight in the physics involved in the case of simple\ncircular motion and in order to address the well known issue of the partial\ncompensation of transverse self-force.",
"arxiv_id": "physics/0205001",
"authors": [
"Gianluca Geloni",
"Jan Botman",
"Jom Luiten",
"Marnix van der Wiel",
"Martin Dohlus",
"Evgeni Saldin",
"Evgeni Schneidmiller",
"Mikhail Yurkov"
],
"categories": [
"physics.acc-ph",
"physics.gen-ph"
],
"doi": "10.1016/j.nima.2003.12.010",
"journal_ref": "Nucl.Instrum.Meth. A522 (2004) 230-251",
"title": "Transverse self-fields within an electron bunch moving in an arc of a circle",
"url": "https://arxiv.org/abs/physics/0205001"
},
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