Calculation of wakefields in 2D rectangular structures
We consider the calculation of electromagnetic fields generated by an electron bunch passing through a vacuum chamber structure that, in general, consists of an entry pipe, followed by some kind of transition or cavity, and ending in an exit pipe. We limit our study to structures having rectangular cross section, where the height can vary as function of longitudinal coordinate but the width and side walls remain fixed. For such structures, we derive a Fourier representation of the wake potentials through onedimensional functions. A new numerical approach for calculating the wakes in such structures is proposed and implemented in the computer code echo(2d). The computation resource requirements for this approach are moderate and comparable to those for finding the wakes in 2D rotationally symmetric structures. Finally, we present numerical examples obtained with the new numerical code.
 Authors:

^{[1]};
^{[2]};
^{[2]}
 Deutsches ElektronenSynchrotron (DESY), Hamburg (Germany)
 SLAC National Accelerator Lab., Menlo Park, CA (United States)
 Publication Date:
 Report Number(s):
 SLACPUB16353
Journal ID: ISSN 10984402; PRABFM; arXiv:1508.00066
 Grant/Contract Number:
 AC0276SF00515
 Type:
 Published Article
 Journal Name:
 Physical Review Special Topics. Accelerators and Beams
 Additional Journal Information:
 Journal Volume: 18; Journal Issue: 10; Journal ID: ISSN 10984402
 Publisher:
 American Physical Society (APS)
 Research Org:
 SLAC National Accelerator Lab., Menlo Park, CA (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC22)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 General Physics; ACCPHY; ECHO(2D)
 OSTI Identifier:
 1224110
 Alternate Identifier(s):
 OSTI ID: 1213171
Zagorodnov, I., Bane, K. L. F., and Stupakov, G.. Calculation of wakefields in 2D rectangular structures. United States: N. p.,
Web. doi:10.1103/PhysRevSTAB.18.104401.
Zagorodnov, I., Bane, K. L. F., & Stupakov, G.. Calculation of wakefields in 2D rectangular structures. United States. doi:10.1103/PhysRevSTAB.18.104401.
Zagorodnov, I., Bane, K. L. F., and Stupakov, G.. 2015.
"Calculation of wakefields in 2D rectangular structures". United States.
doi:10.1103/PhysRevSTAB.18.104401.
@article{osti_1224110,
title = {Calculation of wakefields in 2D rectangular structures},
author = {Zagorodnov, I. and Bane, K. L. F. and Stupakov, G.},
abstractNote = {We consider the calculation of electromagnetic fields generated by an electron bunch passing through a vacuum chamber structure that, in general, consists of an entry pipe, followed by some kind of transition or cavity, and ending in an exit pipe. We limit our study to structures having rectangular cross section, where the height can vary as function of longitudinal coordinate but the width and side walls remain fixed. For such structures, we derive a Fourier representation of the wake potentials through onedimensional functions. A new numerical approach for calculating the wakes in such structures is proposed and implemented in the computer code echo(2d). The computation resource requirements for this approach are moderate and comparable to those for finding the wakes in 2D rotationally symmetric structures. Finally, we present numerical examples obtained with the new numerical code.},
doi = {10.1103/PhysRevSTAB.18.104401},
journal = {Physical Review Special Topics. Accelerators and Beams},
number = 10,
volume = 18,
place = {United States},
year = {2015},
month = {10}
}