Erratum: “Accurate modeling of the hose instability in plasma wakefield accelerators” [Phys. Plasmas 25, 056703 (2018)]
Abstract
Here, we would like to correct a typographical error which was introduced in Eqs. (5), (11), (14), (20a), and (20b) during revision of Ref. 1. The series expansion of the plasmaelectron phase space density to the first order of ⟨x⟩ and ⟨px⟩ [Eq. (5) in Ref. 1] correctly reads fp≈ fp0 - cos θ (⟨x⟩∂r+ ⟨px⟩∂pr)fp,0The zeroth-order term, fp,0, was not printed in Ref. 1. Accordingly, the correct expansion of the wakefield potential [Eq. (11) in Ref. 1] is ψ(r,θ) ≈ ψ0(r) -cos θ Xp∂rψ0(r), the correct expansion of the source term of the wakefield potential [Eq. (14) in Ref. 1] is S(r, θ) ≈ S0(r) - cos θ Xp∂rS0(r), and the correct expansions of the force terms [Eqs. (20a) and (20b) in Ref. 1] are Fr,b≈ Fr,b,o- cos θ Xb∂rFr,b,0, Fr,b≈ Fr,p,o- cos θ ⟨x⟩ ∂rFr,p,0, The zeroth order terms in Eqs. (5), (11), (14), (20a), and (20b) are missing in the printing of Ref. 1 but were fully taken into account for the calculation of all derived equations of the mathematical model. The developed mathematical model and physical conclusions in Ref. 1 are therefore all unaltered by, and consistent with, the above corrections.
- Authors:
-
[1];
[3];
[2]
- Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Univ. Hamburg, Hamburg (Germany)
- Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1477337
- Grant/Contract Number:
- AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of Plasmas
- Additional Journal Information:
- Journal Volume: 25; Journal Issue: 7; Journal ID: ISSN 1070-664X
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Citation Formats
Mehrling, T. J., Benedetti, C., Schroeder, C. B., Martinez de la Ossa, A., Osterhoff, J., Esarey, E., and Leemans, W. P. Erratum: “Accurate modeling of the hose instability in plasma wakefield accelerators” [Phys. Plasmas 25, 056703 (2018)]. United States: N. p., 2018.
Web. doi:10.1063/1.5046689.
Mehrling, T. J., Benedetti, C., Schroeder, C. B., Martinez de la Ossa, A., Osterhoff, J., Esarey, E., & Leemans, W. P. Erratum: “Accurate modeling of the hose instability in plasma wakefield accelerators” [Phys. Plasmas 25, 056703 (2018)]. United States. https://doi.org/10.1063/1.5046689
Mehrling, T. J., Benedetti, C., Schroeder, C. B., Martinez de la Ossa, A., Osterhoff, J., Esarey, E., and Leemans, W. P. Tue .
"Erratum: “Accurate modeling of the hose instability in plasma wakefield accelerators” [Phys. Plasmas 25, 056703 (2018)]". United States. https://doi.org/10.1063/1.5046689. https://www.osti.gov/servlets/purl/1477337.
@article{osti_1477337,
title = {Erratum: “Accurate modeling of the hose instability in plasma wakefield accelerators” [Phys. Plasmas 25, 056703 (2018)]},
author = {Mehrling, T. J. and Benedetti, C. and Schroeder, C. B. and Martinez de la Ossa, A. and Osterhoff, J. and Esarey, E. and Leemans, W. P.},
abstractNote = {Here, we would like to correct a typographical error which was introduced in Eqs. (5), (11), (14), (20a), and (20b) during revision of Ref. 1. The series expansion of the plasmaelectron phase space density to the first order of ⟨x⟩ and ⟨px⟩ [Eq. (5) in Ref. 1] correctly reads fp≈ fp0 - cos θ (⟨x⟩∂r+ ⟨px⟩∂pr)fp,0The zeroth-order term, fp,0, was not printed in Ref. 1. Accordingly, the correct expansion of the wakefield potential [Eq. (11) in Ref. 1] is ψ(r,θ) ≈ ψ0(r) -cos θ Xp∂rψ0(r), the correct expansion of the source term of the wakefield potential [Eq. (14) in Ref. 1] is S(r, θ) ≈ S0(r) - cos θ Xp∂rS0(r), and the correct expansions of the force terms [Eqs. (20a) and (20b) in Ref. 1] are Fr,b≈ Fr,b,o- cos θ Xb∂rFr,b,0, Fr,b≈ Fr,p,o- cos θ ⟨x⟩ ∂rFr,p,0, The zeroth order terms in Eqs. (5), (11), (14), (20a), and (20b) are missing in the printing of Ref. 1 but were fully taken into account for the calculation of all derived equations of the mathematical model. The developed mathematical model and physical conclusions in Ref. 1 are therefore all unaltered by, and consistent with, the above corrections.},
doi = {10.1063/1.5046689},
journal = {Physics of Plasmas},
number = 7,
volume = 25,
place = {United States},
year = {Tue Jul 24 00:00:00 EDT 2018},
month = {Tue Jul 24 00:00:00 EDT 2018}
}
Search WorldCat to find libraries that may hold this journalWorks referenced in this record:
Accurate modeling of the hose instability in plasma wakefield accelerators
journal, May 2018
- Mehrling, T. J.; Benedetti, C.; Schroeder, C. B.
- Physics of Plasmas, Vol. 25, Issue 5
Accurate modeling of the hose instability in plasma wakefield accelerators
text, January 2018
- Mehrling, Timon; Benedetti, C.; Schroeder, C. B.
- Deutsches Elektronen-Synchrotron, DESY, Hamburg