Efficient computation of coherent synchrotron radiation in a rectangular chamber

Warnock, Robert L.; Bizzozero, David A.

doi:10.1103/PhysRevAccelBeams.19.090705

Title: Efficient computation of coherent synchrotron radiation in a rectangular chamber

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Abstract

We study coherent synchrotron radiation (CSR) in a perfectly conducting vacuum chamber of rectangular cross section, in a formalism allowing an arbitrary sequence of bends and straight sections. We apply the paraxial method in the frequency domain, with a Fourier development in the vertical coordinate but with no other mode expansions. A line charge source is handled numerically by a new method that rids the equations of singularities through a change of dependent variable. The resulting algorithm is fast compared to earlier methods, works for short bunches with complicated structure, and yields all six field components at any space-time point. As an example we compute the tangential magnetic field at the walls. From that one can make a perturbative treatment of the Poynting flux to estimate the energy deposited in resistive walls. The calculation was motivated by a design issue for LCLS-II, the question of how much wall heating from CSR occurs in the last bend of a bunch compressor and the following straight section. Working with a realistic longitudinal bunch form of r.m.s. length 10.4 μm and a charge of 100 pC we conclude that the radiated power is quite small (28 W at a 1 MHz repetition rate),more »« less

Authors:: Warnock, Robert L.; Bizzozero, David A.

Publication Date:: Tue Sep 27 00:00:00 EDT 2016

Research Org.:: Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1326869

Alternate Identifier(s):: OSTI ID: 1530253

Grant/Contract Number:: AC03-76SF00515; FG02-99ER41104; AC02-05CH11231

Resource Type:: Published Article

Journal Name:: Physical Review Accelerators and Beams

Additional Journal Information:: Journal Name: Physical Review Accelerators and Beams Journal Volume: 19 Journal Issue: 9; Journal ID: ISSN 2469-9888

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 43 PARTICLE ACCELERATORS

Citation Formats


                    Warnock, Robert L., and Bizzozero, David A. Efficient computation of coherent synchrotron radiation in a rectangular chamber.  United States: N. p., 2016. 
Web.  doi:10.1103/PhysRevAccelBeams.19.090705.

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                    Warnock, Robert L., & Bizzozero, David A. Efficient computation of coherent synchrotron radiation in a rectangular chamber.  United States.  https://doi.org/10.1103/PhysRevAccelBeams.19.090705

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                    Warnock, Robert L., and Bizzozero, David A. Tue .  
"Efficient computation of coherent synchrotron radiation in a rectangular chamber".  United States.  https://doi.org/10.1103/PhysRevAccelBeams.19.090705.

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@article{osti_1326869,

  title        = {Efficient computation of coherent synchrotron radiation in a rectangular chamber},

  author       = {Warnock, Robert L. and Bizzozero, David A.},

  abstractNote = {We study coherent synchrotron radiation (CSR) in a perfectly conducting vacuum chamber of rectangular cross section, in a formalism allowing an arbitrary sequence of bends and straight sections. We apply the paraxial method in the frequency domain, with a Fourier development in the vertical coordinate but with no other mode expansions. A line charge source is handled numerically by a new method that rids the equations of singularities through a change of dependent variable. The resulting algorithm is fast compared to earlier methods, works for short bunches with complicated structure, and yields all six field components at any space-time point. As an example we compute the tangential magnetic field at the walls. From that one can make a perturbative treatment of the Poynting flux to estimate the energy deposited in resistive walls. The calculation was motivated by a design issue for LCLS-II, the question of how much wall heating from CSR occurs in the last bend of a bunch compressor and the following straight section. Working with a realistic longitudinal bunch form of r.m.s. length 10.4 μm and a charge of 100 pC we conclude that the radiated power is quite small (28 W at a 1 MHz repetition rate), and all radiated energy is absorbed in the walls within 7 m along the straight section.},

  doi          = {10.1103/PhysRevAccelBeams.19.090705},

  journal      = {Physical Review Accelerators and Beams},

  number       = 9,

  volume       = 19,

  place        = {United States},

  year         = {Tue Sep 27 00:00:00 EDT 2016},

  month        = {Tue Sep 27 00:00:00 EDT 2016}

}

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