Low frequency interference between short synchrotron radiation sources

F. Méot; L. Ponce; N. Ponthieu

doi:10.1103/PhysRevSTAB.4.062801

Open Access

Low frequency interference between short synchrotron radiation sources

F. Méot^1,*, L. Ponce^2,†, and N. Ponthieu³

¹CEA DSM/DAPNIA/SEA, 91191 Saclay, France
²CERN SL/BI, 1211 Geneva 23, Switzerland
³ISN, Service d'astrophysique, 38026 Grenoble cedex, France

^*Email address: fmeot@cea.fr
^†Email address: laurette.ponce@cern.ch.

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Phys. Rev. ST Accel. Beams 4, 062801 – Published 7 June, 2001

DOI: https://doi.org/10.1103/PhysRevSTAB.4.062801

Abstract

A recently developed analytical formalism describing low frequency far-field synchrotron radiation (SR) is applied to the calculation of spectral angular radiation densities from interfering short sources (edge, short magnet). This is illustrated by analytical calculation of synchrotron radiation from various assemblies of short dipoles, including an “isolated” highest density infrared SR source.

References (19)

M. M. Nikitin, A. F. Medvedev, M. B. Moiseev, and V. Ya Épp, Sov. Phys. JETP 52, 388–394 (1980).
J. Bosser, L. Burnod, R. Coisson, G. Ferioli, J. Mann, and F. Méot, J. Phys. (Paris), Lett. 45, 343– 351 (1984).
A. Hofmann, in Proceedings of the CERN Accelerator School, Grenoble, 1996 (CERN, Geneva,1998).
J. Bosser, C. Bovet, and R. Jung, CERN LHC/Note No. 192, 1992.
J.-L. Laclare, M.-P. Level, and P. Roy, in Proceedings of the Workshop on Infrared SR, Gif-sur-Yvette, 1997 (LURE, Orsay,1998).
F. Méot, Part. Accel. 62, 215–239 (1999).
F. Méot and N. Ponthieu, CEA/Saclay Report No. DSM/DAPNIA/SEA-98-53, 1998.
A. Hofmann, in Proceedings of the CERN Accelerator School, Grenoble, 1996 (Ref. [[3]]).
O. Chubar, Kurtchatov Institute Report No. IAE-5596/14, 1992.
L. Cadet, in Proceedings of the 1st CERN LHC Emittance Workshop, Geneva, 2000, http://emittanceworkshop.web.cern.ch/EmittanceWorkshop.
L. Ponce, CERN SL/BI-PM internal report (to be published).
E. Rossa, F. Tecker, and J. C. Mathae, in Proceedings of the Particle Accelerator Conference, Washington, D.C., 1993 (IEEE, Piscataway, NJ,1993).
C. Bovet, A. Burns, F. Méot, M. Placidi, E. Rossa, and J. de Vries, CERN Report No. CERN SL/97-59 (BI), 1997; in Proceedings of the Particle Accelerator Conference, Vancouver, Canada, 1997 (IEEE, Piscataway, NJ,1998).
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F. Méot, CERN Report No. CERN SL/94-22 (AP), 1994.
R. A. Bosch, Nucl. Instrum. Methods Phys. Res., Sect. A 386, 525–530 (1997).
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A. Hofmann and F. Méot, Nucl. Instrum. Methods Phys. Res., Sect. A 203, 483–493 (1982).
Numerical simulations proceed from trajectory tracing, from which the radiated electric field $\vec{E} (t) = (q / 4 π ε_{0} c) \vec{n} (t^{'}) \times {[\vec{n} (t^{'}) - \vec{β} (t^{'})] \times \overset{\vec{β}}{̇} (t^{'})} / r (t^{'}) \times [1 - \vec{n} (t^{'}) ̇ \vec{β} (t^{'})]^{3}$ is calculated numerically and then Fourier transformed numerically as well (see Ref. [[15]]); F. Méot and S. Valero, Nucl. Instrum. Methods Phys. Res., Sect. A 427, 353–356 (1993).

[c1] M. M. Nikitin, A. F. Medvedev, M. B. Moiseev, and V. Ya Épp, Sov. Phys. JETP 52, 388–394 (1980).

[c2] J. Bosser, L. Burnod, R. Coisson, G. Ferioli, J. Mann, and F. Méot, J. Phys. (Paris), Lett. 45, 343– 351 (1984).

[c3] A. Hofmann, in Proceedings of the CERN Accelerator School, Grenoble, 1996 (CERN, Geneva,1998).

[c4] J. Bosser, C. Bovet, and R. Jung, CERN LHC/Note No. 192, 1992.

[c5] J.-L. Laclare, M.-P. Level, and P. Roy, in Proceedings of the Workshop on Infrared SR, Gif-sur-Yvette, 1997 (LURE, Orsay,1998).

[c6] F. Méot, Part. Accel. 62, 215–239 (1999).

[c7] F. Méot and N. Ponthieu, CEA/Saclay Report No. DSM/DAPNIA/SEA-98-53, 1998.

[c8] A. Hofmann, in Proceedings of the CERN Accelerator School, Grenoble, 1996 (Ref. [[3]]).

[c9] O. Chubar, Kurtchatov Institute Report No. IAE-5596/14, 1992.

[c10] L. Cadet, in Proceedings of the 1st CERN LHC Emittance Workshop, Geneva, 2000, http://emittanceworkshop.web.cern.ch/EmittanceWorkshop.

[c11] L. Ponce, CERN SL/BI-PM internal report (to be published).

[c12] E. Rossa, F. Tecker, and J. C. Mathae, in Proceedings of the Particle Accelerator Conference, Washington, D.C., 1993 (IEEE, Piscataway, NJ,1993).

[c13] C. Bovet, A. Burns, F. Méot, M. Placidi, E. Rossa, and J. de Vries, CERN Report No. CERN SL/97-59 (BI), 1997; in Proceedings of the Particle Accelerator Conference, Vancouver, Canada, 1997 (IEEE, Piscataway, NJ,1998).

[c14] K. Hanke, Report No. PITHA 94/1, RWTH, CERN SL/Note No. 95-65 (BI), 13/06/1995; A. J. Burns, CERN SL/Note No. 96-53 (BI), CERN, 21/08/96.

[c15] F. Méot, CERN Report No. CERN SL/94-22 (AP), 1994.

[c16] R. A. Bosch, Nucl. Instrum. Methods Phys. Res., Sect. A 386, 525–530 (1997).

[c17] F. Méot, CEA Saclay and LURE Orsay, internal note, 1998.

[c18] A. Hofmann and F. Méot, Nucl. Instrum. Methods Phys. Res., Sect. A 203, 483–493 (1982).

[c19] Numerical simulations proceed from trajectory tracing, from which the radiated electric field $\vec{E} (t) = (q / 4 π ε_{0} c) \vec{n} (t^{'}) \times {[\vec{n} (t^{'}) - \vec{β} (t^{'})] \times \overset{\vec{β}}{̇} (t^{'})} / r (t^{'}) \times [1 - \vec{n} (t^{'}) ̇ \vec{β} (t^{'})]^{3}$ is calculated numerically and then Fourier transformed numerically as well (see Ref. [[15]]); F. Méot and S. Valero, Nucl. Instrum. Methods Phys. Res., Sect. A 427, 353–356 (1993).

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Low frequency interference between short synchrotron radiation sources

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