dorsal/arxiv
View SchemaIonization Cooling in all Phase Space Planes with Various Absorber Shapes, Including Parallel-Faced Absorbers
| Authors | J. Scott Berg |
|---|---|
| Categories | |
| ArXiv ID | physics/0607278 |
| URL | https://arxiv.org/abs/physics/0607278 |
| DOI | 10.1016/j.nima.2006.09.036 |
| Journal | Nucl.Instrum.Meth.A569:677-684,2006 |
Abstract
Ionization cooling in a straight beamline reduces the transverse emittance of a beam, and has little effect on the longitudinal emittance (generally, in fact, it increases the longitudinal emittance). Once the beamline bends, the introduction of dispersion creates a coupling between the transverse and longitudinal planes. If this coupling is handled properly, one can achieve cooling in all three phase space planes. This is usually done by placing a wedge-shaped absorber in a region where there is dispersion. I will demonstrate using an eigenvalue analysis that there are other configurations of dispersion and absorber shape that will achieve ionization cooling in all phase space planes. In particular, I will show that a one can even achieve cooling in all phase planes with a parallel-faced absorber in a dispersion-free region. I will use perturbation theory to approximate the change in the cooling rates due to longitudinal-transverse coupling. I will then describe how the cooling of longitudinal oscillations can be understood via the projection of the "longitudinal" eigenmodes into the transverse plane.
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"abstract": "Ionization cooling in a straight beamline reduces the transverse emittance of\na beam, and has little effect on the longitudinal emittance (generally, in\nfact, it increases the longitudinal emittance). Once the beamline bends, the\nintroduction of dispersion creates a coupling between the transverse and\nlongitudinal planes. If this coupling is handled properly, one can achieve\ncooling in all three phase space planes. This is usually done by placing a\nwedge-shaped absorber in a region where there is dispersion. I will demonstrate\nusing an eigenvalue analysis that there are other configurations of dispersion\nand absorber shape that will achieve ionization cooling in all phase space\nplanes. In particular, I will show that a one can even achieve cooling in all\nphase planes with a parallel-faced absorber in a dispersion-free region. I will\nuse perturbation theory to approximate the change in the cooling rates due to\nlongitudinal-transverse coupling. I will then describe how the cooling of\nlongitudinal oscillations can be understood via the projection of the\n\"longitudinal\" eigenmodes into the transverse plane.",
"arxiv_id": "physics/0607278",
"authors": [
"J. Scott Berg"
],
"categories": [
"physics.acc-ph"
],
"doi": "10.1016/j.nima.2006.09.036",
"journal_ref": "Nucl.Instrum.Meth.A569:677-684,2006",
"title": "Ionization Cooling in all Phase Space Planes with Various Absorber Shapes, Including Parallel-Faced Absorbers",
"url": "https://arxiv.org/abs/physics/0607278"
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