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Lehe R, Schroeder CB, Vay JL, Esarey E, Leemans WP. Saturation of the Hosing Instability in Quasilinear Plasma Accelerators. PHYSICAL REVIEW LETTERS 2017; 119:244801. [PMID: 29286723 DOI: 10.1103/physrevlett.119.244801] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/24/2017] [Indexed: 06/07/2023]
Abstract
The beam hosing instability is analyzed theoretically for a witness beam in the quasilinear regime of plasma accelerators. In this regime, the hosing instability saturates, even for a monoenergetic bunch, at a level much less than standard scalings predict. Analytic expressions are derived for the saturation distance and amplitude and are in agreement with numerical results. Saturation is due to the natural head-to-tail variations in the focusing force, including the self-consistent transverse beam loading.
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Affiliation(s)
- R Lehe
- Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - C B Schroeder
- Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - J-L Vay
- Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - E Esarey
- Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - W P Leemans
- Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
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Hung DMH, Rittersdorf IM, Zhang P, Chernin D, Lau YY, Antonsen TM, Luginsland JW, Simon DH, Gilgenbach RM. Absolute Instability near the Band Edge of Traveling-Wave Amplifiers. PHYSICAL REVIEW LETTERS 2015; 115:124801. [PMID: 26430996 DOI: 10.1103/physrevlett.115.124801] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/24/2015] [Indexed: 06/05/2023]
Abstract
Applying the Briggs-Bers "pole-pinch" criterion to the exact transcendental dispersion relation of a dielectric traveling wave tube (TWT), we find that there is no absolute instability regardless of the beam current. We extend this analysis to the circuit band edges of a linear beam TWT by approximating the circuit mode as a hyperbola in the frequency-wave-number (ω-k) plane and consider the weak coupling limit. For an operating mode whose group velocity is in the same direction as the beam mode, we find that the lower band edge is not subjected to absolute instability. At the upper band edge, we find a threshold beam current beyond which absolute instability is excited. The nonexistence of absolute instability in a linear beam TWT and the existence in a gyrotron TWT, both at the lower band edge, is contrasted. The general study given here is applicable to some contemporary TWTs such as metamaterial-based and advanced Smith-Purcell TWTs.
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Affiliation(s)
- D M H Hung
- Department of Nuclear Engineering and Radiological Sciences, University of Michigan, Ann Arbor, Michigan 48109, USA
| | - I M Rittersdorf
- Department of Nuclear Engineering and Radiological Sciences, University of Michigan, Ann Arbor, Michigan 48109, USA
| | - P Zhang
- Department of Nuclear Engineering and Radiological Sciences, University of Michigan, Ann Arbor, Michigan 48109, USA
| | - D Chernin
- Department of Nuclear Engineering and Radiological Sciences, University of Michigan, Ann Arbor, Michigan 48109, USA
- Leidos Corporation, Reston, Virginia 20190, USA
| | - Y Y Lau
- Department of Nuclear Engineering and Radiological Sciences, University of Michigan, Ann Arbor, Michigan 48109, USA
| | - T M Antonsen
- University of Maryland, College Park, Maryland 20742, USA
| | - J W Luginsland
- Air Force Office of Scientific Research, Arlington, Virginia 22203, USA
| | - D H Simon
- Department of Nuclear Engineering and Radiological Sciences, University of Michigan, Ann Arbor, Michigan 48109, USA
| | - R M Gilgenbach
- Department of Nuclear Engineering and Radiological Sciences, University of Michigan, Ann Arbor, Michigan 48109, USA
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Dodd ES, Hemker RG, Huang CK, Wang S, Ren C, Mori WB, Lee S, Katsouleas T. Hosing and sloshing of short-pulse GeV-class wakefield drivers. PHYSICAL REVIEW LETTERS 2002; 88:125001. [PMID: 11909466 DOI: 10.1103/physrevlett.88.125001] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/12/2001] [Revised: 09/25/2001] [Indexed: 05/23/2023]
Abstract
This Letter examines the electron-hosing instability in relation to the drivers of current and future plasma-wakefield experiments using fully three-dimensional particle-in-cell simulation models. The simulation results are compared to numerical solutions and to asymptotic solutions of the idealized analytic equations. The measured growth rates do not agree with the existing theory and the behavior is shown to depend sensitively on beam length, shape, and charge. We find that even when severe hosing occurs the wake can remain relatively stable.
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Affiliation(s)
- E S Dodd
- University of California, Los Angeles, Los Angeles, California 90095, USA
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Rosenzweig J, Murokh A, Pellegrini C. A proposed dielectric-loaded resonant laser accelerator. PHYSICAL REVIEW LETTERS 1995; 74:2467-2470. [PMID: 10057935 DOI: 10.1103/physrevlett.74.2467] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Shvets G, Wurtele JS. Instabilities of Short-Pulse Laser Propagation through Plasma Channels. PHYSICAL REVIEW LETTERS 1994; 73:3540-3543. [PMID: 10057409 DOI: 10.1103/physrevlett.73.3540] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Derbenev YS, Lau YY, Gilgenbach RM. Proposal for a novel two-beam accelerator. PHYSICAL REVIEW LETTERS 1994; 72:3025-3028. [PMID: 10056048 DOI: 10.1103/physrevlett.72.3025] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Whittum DH, Lampe M, Joyce G, Slinker SP, Yu SS, Sharp WM. Flute instability of an ion-focused slab electron beam in a broad plasma. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1992; 46:6684-6699. [PMID: 9907977 DOI: 10.1103/physreva.46.6684] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Menge PR, Gilgenbach RM, Lau YY. Experimental reduction of beam-breakup instability growth by external cavity coupling in long-pulse electron-beam transport. PHYSICAL REVIEW LETTERS 1992; 69:2372-2375. [PMID: 10046468 DOI: 10.1103/physrevlett.69.2372] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Genoni TC, Hughes TP. Beam-breakup instability in anharmonic ion-focused-regime channels. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1992; 46:5174-5182. [PMID: 9908738 DOI: 10.1103/physreva.46.5174] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Bohn CL, Delayen JR. Cumulative beam breakup in linear accelerators with periodic beam current. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1992; 45:5964-5993. [PMID: 9907698 DOI: 10.1103/physreva.45.5964] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Whittum DH, Sharp WM, Yu SS, Lampe M, Joyce G. Electron-hose instability in the ion-focused regime. PHYSICAL REVIEW LETTERS 1991; 67:991-994. [PMID: 10045042 DOI: 10.1103/physrevlett.67.991] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Ng KY. Wake fields in a dielectric-lined waveguide. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1990; 42:1819-1828. [PMID: 10013022 DOI: 10.1103/physrevd.42.1819] [Citation(s) in RCA: 45] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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