Low-frequency quadrupole impedance of undulators and wigglers

Blednykh, A.; Bassi, G.; Hidaka, Y.; Smaluk, V.; Stupakov, G.

doi:10.1103/PhysRevAccelBeams.19.104401

Title: Low-frequency quadrupole impedance of undulators and wigglers

Abstract

An analytical expression of the low-frequency quadrupole impedance for undulators and wigglers is derived and benchmarked against beam-based impedance measurements done at the 3 GeV NSLS-II storage ring. The adopted theoretical model, valid for an arbitrary number of electromagnetic layers with parallel geometry, allows to calculate the quadrupole impedance for arbitrary values of the magnetic permeability μr. In the comparison of the analytical results with the measurements for variable magnet gaps, two limit cases of the permeability have been studied: the case of perfect magnets (μr→∞), and the case in which the magnets are fully saturated (μr=1).

Authors:

Blednykh, A. ^[1]; Bassi, G. ^[1]; Hidaka, Y. ^[1]; Smaluk, V. ^[1]; Stupakov, G. ^[2]

Brookhaven National Lab. (BNL), Upton, NY (United States)
SLAC National Accelerator Lab., Menlo Park, CA (United States)

Publication Date:: 2016-10-25

Research Org.:: SLAC National Accelerator Lab., Menlo Park, CA (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:: 1329977

Alternate Identifier(s):: OSTI ID: 1410803; OSTI ID: 1433952

Report Number(s):: BNL-203472-2018-JAAM
Journal ID: ISSN 2469-9888; PRABFM; 104401

Grant/Contract Number:: AC02-76SF00515; AC02-98CH10886; AC03-76SF00515; SC0012704

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: 10; Journal ID: ISSN 2469-9888

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 36 MATERIALS SCIENCE

Citation Formats


                    Blednykh, A., Bassi, G., Hidaka, Y., Smaluk, V., and Stupakov, G. Low-frequency quadrupole impedance of undulators and wigglers.  United States: N. p., 2016. 
Web.  doi:10.1103/PhysRevAccelBeams.19.104401.

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                    Blednykh, A., Bassi, G., Hidaka, Y., Smaluk, V., & Stupakov, G. Low-frequency quadrupole impedance of undulators and wigglers.  United States.  https://doi.org/10.1103/PhysRevAccelBeams.19.104401

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                    Blednykh, A., Bassi, G., Hidaka, Y., Smaluk, V., and Stupakov, G. Tue .  
"Low-frequency quadrupole impedance of undulators and wigglers".  United States.  https://doi.org/10.1103/PhysRevAccelBeams.19.104401.

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@article{osti_1329977,

  title        = {Low-frequency quadrupole impedance of undulators and wigglers},

  author       = {Blednykh, A. and Bassi, G. and Hidaka, Y. and Smaluk, V. and Stupakov, G.},

  abstractNote = {An analytical expression of the low-frequency quadrupole impedance for undulators and wigglers is derived and benchmarked against beam-based impedance measurements done at the 3 GeV NSLS-II storage ring. The adopted theoretical model, valid for an arbitrary number of electromagnetic layers with parallel geometry, allows to calculate the quadrupole impedance for arbitrary values of the magnetic permeability μr. In the comparison of the analytical results with the measurements for variable magnet gaps, two limit cases of the permeability have been studied: the case of perfect magnets (μr→∞), and the case in which the magnets are fully saturated (μr=1).},

  doi          = {10.1103/PhysRevAccelBeams.19.104401},

  journal      = {Physical Review Accelerators and Beams},

  number       = 10,

  volume       = 19,

  place        = {United States},

  year         = {2016},

  month        = {10}

}

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Works referenced in this record:

Self-consistent simulations and analysis of the coupled-bunch instability for arbitrary multibunch configurations
journal, February 2016

Bassi, Gabriele; Blednykh, Alexei; Smaluk, Victor
Physical Review Accelerators and Beams, Vol. 19, Issue 2
DOI: 10.1103/PhysRevAccelBeams.19.024401

Using surface impedance for calculating wakefields in flat geometry
journal, March 2015

Bane, Karl; Stupakov, Gennady
Physical Review Special Topics - Accelerators and Beams, Vol. 18, Issue 3
DOI: 10.1103/PhysRevSTAB.18.034401

Measurement and analysis of the impact of transverse incoherent wakefields in a light source storage ring
journal, April 2016

Brunelle, P.; Nagaoka, R.; Sreedharan, R.
Physical Review Accelerators and Beams, Vol. 19, Issue 4
DOI: 10.1103/PhysRevAccelBeams.19.044401

Tune shifts of bunch trains due to resistive vacuum chambers without circular symmetry
journal, November 2002

Chao, Alexander; Heifets, Samuel; Zotter, Bruno
Physical Review Special Topics - Accelerators and Beams, Vol. 5, Issue 11
DOI: 10.1103/PhysRevSTAB.5.111001

Works referencing / citing this record:

Impact of the resistive wall impedance on beam dynamics in the Future Circular $e^{+} e^{-}$ Collider
journal, April 2018

Migliorati, M.; Belli, E.; Zobov, M.
Physical Review Accelerators and Beams, Vol. 21, Issue 4
DOI: 10.1103/physrevaccelbeams.21.041001

Impact of the resistive wall impedance on beam dynamics in the Future Circular $e^{+} e^{-}$ Collider
journal, April 2018

Migliorati, M.; Belli, E.; Zobov, M.
Physical Review Accelerators and Beams, Vol. 21, Issue 4
DOI: 10.1103/physrevaccelbeams.21.041001

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Similar Records

Title: Low-frequency quadrupole impedance of undulators and wigglers

Abstract

Citation Formats

Self-consistent simulations and analysis of the coupled-bunch instability for arbitrary multibunch configurations journal, February 2016

Using surface impedance for calculating wakefields in flat geometry journal, March 2015

Measurement and analysis of the impact of transverse incoherent wakefields in a light source storage ring journal, April 2016

Tune shifts of bunch trains due to resistive vacuum chambers without circular symmetry journal, November 2002

Impact of the resistive wall impedance on beam dynamics in the Future Circular e + e − Collider journal, April 2018

Impact of the resistive wall impedance on beam dynamics in the Future Circular e + e − Collider journal, April 2018

Self-consistent simulations and analysis of the coupled-bunch instability for arbitrary multibunch configurations
journal, February 2016

Using surface impedance for calculating wakefields in flat geometry
journal, March 2015

Measurement and analysis of the impact of transverse incoherent wakefields in a light source storage ring
journal, April 2016

Tune shifts of bunch trains due to resistive vacuum chambers without circular symmetry
journal, November 2002

Impact of the resistive wall impedance on beam dynamics in the Future Circular $e^{+} e^{-}$ Collider
journal, April 2018

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journal, April 2018