String formulation of space charge forces in a deflecting bunch
The force between two moving point charges, because of its inverse square law singularity, cannot be applied directly in the numerical simulation of bunch dynamics; radiative effects make this especially true for short bunches being deflected by magnets. This paper describes a formalism circumventin...
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| Format: | Article |
| Language: | English |
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American Physical Society
2004-10-01
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| Series: | Physical Review Special Topics. Accelerators and Beams |
| Online Access: | http://doi.org/10.1103/PhysRevSTAB.7.100701 |
| _version_ | 1811266311618035712 |
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| author | Richard Talman |
| author_facet | Richard Talman |
| author_sort | Richard Talman |
| collection | DOAJ |
| description | The force between two moving point charges, because of its inverse square law singularity, cannot be applied directly in the numerical simulation of bunch dynamics; radiative effects make this especially true for short bunches being deflected by magnets. This paper describes a formalism circumventing this restriction in which the basic ingredient is the total force on a point charge comoving with a longitudinally aligned, uniformly charged string. Bunch evolution can then be treated using direct particle-to-particle, intrabeam scattering, with no need for an intermediate, particle-in-cell, step. Electric and magnetic fields do not appear individually in the theory. Since the basic formulas are both exact (in paraxial approximation) and fully relativistic, they are applicable to beams of all particle types and all energies. But the theory is expected to be especially useful for calculating the emittance growth of the ultrashort electron bunches of current interest for energy recovery linacs and free-electron lasers. The theory subsumes coherent synchrotron radiation and centrifugal space charge force. Renormalized, on-axis, longitudinal field components are in excellent agreement with values from Saldin et al. [DESY Report No. DESY-TESLA-FEL-96-14, 1995; Nucl. Instrum. Methods Phys. Res., Sect. A 417, 158 (1998).NIMAER0168-900210.1016/S0168-9002(98)00623-8] |
| first_indexed | 2024-04-12T20:40:59Z |
| format | Article |
| id | doaj.art-e503ea4ce509460184631a7cb51c6037 |
| institution | Directory Open Access Journal |
| issn | 1098-4402 |
| language | English |
| last_indexed | 2024-04-12T20:40:59Z |
| publishDate | 2004-10-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Special Topics. Accelerators and Beams |
| spelling | doaj.art-e503ea4ce509460184631a7cb51c60372022-12-22T03:17:25ZengAmerican Physical SocietyPhysical Review Special Topics. Accelerators and Beams1098-44022004-10-0171010070110.1103/PhysRevSTAB.7.100701String formulation of space charge forces in a deflecting bunchRichard TalmanThe force between two moving point charges, because of its inverse square law singularity, cannot be applied directly in the numerical simulation of bunch dynamics; radiative effects make this especially true for short bunches being deflected by magnets. This paper describes a formalism circumventing this restriction in which the basic ingredient is the total force on a point charge comoving with a longitudinally aligned, uniformly charged string. Bunch evolution can then be treated using direct particle-to-particle, intrabeam scattering, with no need for an intermediate, particle-in-cell, step. Electric and magnetic fields do not appear individually in the theory. Since the basic formulas are both exact (in paraxial approximation) and fully relativistic, they are applicable to beams of all particle types and all energies. But the theory is expected to be especially useful for calculating the emittance growth of the ultrashort electron bunches of current interest for energy recovery linacs and free-electron lasers. The theory subsumes coherent synchrotron radiation and centrifugal space charge force. Renormalized, on-axis, longitudinal field components are in excellent agreement with values from Saldin et al. [DESY Report No. DESY-TESLA-FEL-96-14, 1995; Nucl. Instrum. Methods Phys. Res., Sect. A 417, 158 (1998).NIMAER0168-900210.1016/S0168-9002(98)00623-8]http://doi.org/10.1103/PhysRevSTAB.7.100701 |
| spellingShingle | Richard Talman String formulation of space charge forces in a deflecting bunch Physical Review Special Topics. Accelerators and Beams |
| title | String formulation of space charge forces in a deflecting bunch |
| title_full | String formulation of space charge forces in a deflecting bunch |
| title_fullStr | String formulation of space charge forces in a deflecting bunch |
| title_full_unstemmed | String formulation of space charge forces in a deflecting bunch |
| title_short | String formulation of space charge forces in a deflecting bunch |
| title_sort | string formulation of space charge forces in a deflecting bunch |
| url | http://doi.org/10.1103/PhysRevSTAB.7.100701 |
| work_keys_str_mv | AT richardtalman stringformulationofspacechargeforcesinadeflectingbunch |