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Absolute instability in a traveling wave tube model
dc.contributor.authorAng, L. K.en_US
dc.contributor.authorLau, Y. Y.en_US
dc.date.accessioned2010-05-06T21:59:11Z
dc.date.available2010-05-06T21:59:11Z
dc.date.issued1998-12en_US
dc.identifier.citationAng, L. K.; Lau, Y. Y. (1998). "Absolute instability in a traveling wave tube model." Physics of Plasmas 5(12): 4408-4410. <http://hdl.handle.net/2027.42/70326>en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/70326
dc.description.abstractA model is constructed to evaluate absolute instability which may lead to bandedge oscillations in a traveling wave tube. Under the assumptions (a) that all modes have forward group velocities, and (b) that the slow wave structure has a parabolic dispersion relation in the ω-kω-k plane, the threshold coupling constant (Pierce’s parameter CC) is calculated for the onset of absolute instability. The effect of distributed resistive loss in the circuit is included. The axial wave number and the characteristic frequency of the oscillation at the onset are given. © 1998 American Institute of Physics.en_US
dc.format.extent3102 bytes
dc.format.extent95256 bytes
dc.format.mimetypetext/plain
dc.format.mimetypeapplication/pdf
dc.publisherThe American Institute of Physicsen_US
dc.rights© The American Institute of Physicsen_US
dc.titleAbsolute instability in a traveling wave tube modelen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Nuclear Engineering and Radiological Sciences, University of Michigan, Ann Arbor, Michigan 48109-2104en_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/70326/2/PHPAEN-5-12-4408-1.pdf
dc.identifier.doi10.1063/1.873178en_US
dc.identifier.sourcePhysics of Plasmasen_US
dc.identifier.citedreferenceD. R. Whaley, C. M. Armstrong, B. Gannon, G. Groshart, E. Hurt, J. Hutchins, M. Roscoe, T. M. Antonsen, Jr., and B. Levush, IEEE Trans. Plasma Sci. ITPSBD26, 912 (1998).en_US
dc.identifier.citedreferenceA. S. Gilmour, Traveling Wave Tubes (Artech, Norwood, MA, 1994); B. Epsztein, in IEEE International Electron Device Meeting, Technical Digest, p. 486 (1984), IEEE Catalogue No. CH2099-0/84 (Institute of Electrical and Electronics Engineers, Piscataway, NJ, 1984).en_US
dc.identifier.citedreferenceR. J. Briggs, Electron Stream Interaction with Plasma (MIT Press, Cambridge, MA, 1964), Chap. 2; A. Bers, in Plasma Physics—Les Houches 1972, edited by C. DeWitt and J. Peyraud (Gordon and Breach, New York, 1975), p. 113.en_US
dc.identifier.citedreferenceY. Y. Lau, K. R. Chu, L. R. Barnett, and V. L. Granastein, Int. J. Infrared Millim. Waves IJIWDO2, 373 (1981).en_US
dc.identifier.citedreferenceS. M. Miller, T. M. Antonsen, B. Levush, A. Bromborsky, D. K. Abe, and Y. Carmel, Phys. Plasmas PHPAEN1, 730 (1994).en_US
dc.identifier.citedreferenceL. R. Barnett, L. H. Chang, H. Y. Chen, K. R. Chu, W. K. Lau, and C. C. Tu, Phys. Rev. Lett. PRLTAO63, 1062 (1989).en_US
dc.identifier.citedreferenceStrictly speaking, for a perfect helix, the circuit mode does not have a zero group velocity at the π-mode wavenumber π/L.π/L. See, e.g., Fig 2.9 of D. A. Watkins, Topics in Electromagnetic Theory (Wiley, New York, 1958). However, any slight imperfection in the helix, which is unavoidable in practice, will make kBE = π/LkBE=π/L a zero group velocity wavenumber. We wish to thank David Chernin for pointing this out to us. Carter Armstrong has also kindly informed us that oscillations at the π-mode are of serious concern in the design of TWT.en_US
dc.identifier.citedreferenceY. Y. Lau and D. Chernin, Phys. Fluids B PFBPEI4, 3473 (1992).en_US
dc.identifier.citedreferenceA. K. Ganguly, Y. Y. Lau, and S. Ahn, Phys. Fluids B PFBPEI4, 3800 (1992).en_US
dc.owningcollnamePhysics, Department of


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