Analytical theory of coherent synchrotron radiation wakefield of short bunches shielded by conducting parallel plates

Stupakov, Gennady; Zhou, Demin

doi:10.1103/PhysRevAccelBeams.19.044402

Title: Analytical theory of coherent synchrotron radiation wakefield of short bunches shielded by conducting parallel plates

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Abstract

We develop a general model of coherent synchrotron radiation (CSR) impedance with shielding provided by two parallel conducting plates. This model allows us to easily reproduce all previously known analytical CSR wakes and to expand the analysis to situations not explored before. It reduces calculations of the impedance to taking integrals along the trajectory of the beam. New analytical results are derived for the radiation impedance with shielding for the following orbits: a kink, a bending magnet, a wiggler of finite length, and an infinitely long wiggler. Furthermore, all our formulas are benchmarked against numerical simulations with the CSRZ computer code.

Authors:: Stupakov, Gennady; Zhou, Demin

Publication Date:: Thu Apr 21 00:00:00 EDT 2016

Research Org.:: SLAC National Accelerator Lab., Menlo Park, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1249655

Alternate Identifier(s):: OSTI ID: 1249105

Grant/Contract Number:: AC03-76SF00515

Resource Type:: Published Article

Journal Name:: Physical Review Accelerators and Beams

Additional Journal Information:: Journal Volume: 19; Journal Issue: 4; Journal ID: ISSN 2469-9888

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 43 PARTICLE ACCELERATORS

Citation Formats


                    Stupakov, Gennady, and Zhou, Demin. Analytical theory of coherent synchrotron radiation wakefield of short bunches shielded by conducting parallel plates.  United States: N. p., 2016. 
Web.  doi:10.1103/PhysRevAccelBeams.19.044402.

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                    Stupakov, Gennady, & Zhou, Demin. Analytical theory of coherent synchrotron radiation wakefield of short bunches shielded by conducting parallel plates.  United States.  https://doi.org/10.1103/PhysRevAccelBeams.19.044402

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                    Stupakov, Gennady, and Zhou, Demin. Thu .  
"Analytical theory of coherent synchrotron radiation wakefield of short bunches shielded by conducting parallel plates".  United States.  https://doi.org/10.1103/PhysRevAccelBeams.19.044402.

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@article{osti_1249655,

  title        = {Analytical theory of coherent synchrotron radiation wakefield of short bunches shielded by conducting parallel plates},

  author       = {Stupakov, Gennady and Zhou, Demin},

  abstractNote = {We develop a general model of coherent synchrotron radiation (CSR) impedance with shielding provided by two parallel conducting plates. This model allows us to easily reproduce all previously known analytical CSR wakes and to expand the analysis to situations not explored before. It reduces calculations of the impedance to taking integrals along the trajectory of the beam. New analytical results are derived for the radiation impedance with shielding for the following orbits: a kink, a bending magnet, a wiggler of finite length, and an infinitely long wiggler. Furthermore, all our formulas are benchmarked against numerical simulations with the CSRZ computer code.},

  doi          = {10.1103/PhysRevAccelBeams.19.044402},

  journal      = {Physical Review Accelerators and Beams},

  number       = 4,

  volume       = 19,

  place        = {United States},

  year         = {Thu Apr 21 00:00:00 EDT 2016},

  month        = {Thu Apr 21 00:00:00 EDT 2016}

}

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Analytical theory of coherent synchrotron radiation wakefield of short bunches shielded by conducting parallel plates

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We develop a general model of coherent synchrotron radiation (CSR) impedance with shielding provided by two parallel conducting plates. This model allows us to easily reproduce all previously known analytical CSR wakes and to expand the analysis to situations not explored before. It reduces calculations of the impedance to taking integrals along the trajectory of the beam. New analytical results are derived for the radiation impedance with shielding for the following orbits: a kink, a bending magnet, a wiggler of finite length, and an infinitely long wiggler. All our formulas are benchmarked against numerical simulations with the CSRZ computer code.
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