View Item 

Show simple item record

Limiting current in a crossed‐field gap

dc.contributor.authorLau, Y. Y.en_US
dc.contributor.authorChristenson, Peggy J.en_US
dc.contributor.authorChernin, David P.en_US
dc.date.accessioned2010-05-06T23:10:48Z
dc.date.available2010-05-06T23:10:48Z
dc.date.issued1993-12en_US
dc.identifier.citationLau, Y. Y.; Christenson, P. J.; Chernin, David (1993). "Limiting current in a crossed‐field gap." Physics of Fluids B: Plasma Physics 5(12): 4486-4489. <http://hdl.handle.net/2027.42/71084>en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/71084
dc.description.abstractAn analytic theory is presented that yields the maximum transmittable current across an anode–cathode gap that is embedded in an arbitrary transverse magnetic field (B). The limiting current is found to be relatively insensitive to B for all B<BH, where BH is the Hull cutoff magnetic field required for magnetic insulation. The classical Child–Langmuir solution is recovered in the limit B→0.en_US
dc.format.extent3102 bytes
dc.format.extent441762 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.titleLimiting current in a crossed‐field gapen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumIntense Energy Beam Interaction Laboratory and Department of Nuclear Engineering, University of Michigan, Ann Arbor, Michigan 48109‐2104en_US
dc.contributor.affiliationumApplied Physics Program, University of Michigan, Ann Arbor, Michigan 48109en_US
dc.contributor.affiliationumIntense Energy Beam Interaction Laboratory and Department of Nuclear Engineering, University of Michigan, Ann Arbor, Michigan 48109‐2104en_US
dc.contributor.affiliationotherScience Applications International Corporation, 1710 Goodridge Drive, Mclean, Virginia 22102en_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/71084/2/PFBPEI-5-12-4486-1.pdf
dc.identifier.doi10.1063/1.860563en_US
dc.identifier.sourcePhysics of Fluids B: Plasma Physicsen_US
dc.identifier.citedreferenceC. D. Child, Phys. Rev. 32, 492 (1911); I. Langmuir, 21, 419 (1923); G. Jaffe, 65, 91 (1944).en_US
dc.identifier.citedreferenceSee, e.g., R. C. Davidson, Physics of Nonneutral Plasmas (Addison-Wesley, Redwood City, CA, 1990); S. Humphries, Charged Particle Beams (Wiley, New York, 1990); J. D. Lawson, Physics of Charged Particle Beams (Oxford University Press, Oxford, 1988); R. H. Miller, Intense Charged Particle Beams (Plenum, New York, 1982).en_US
dc.identifier.citedreferenceH. Jory and A. Trivelpiece, J. Appl. Phys. 40, 3924 (1969).en_US
dc.identifier.citedreferenceD. G. Colombant and Y. Y. Lau, Phys. Rev. Lett. 64, 2320 (1990), and references therein.en_US
dc.identifier.citedreferenceY. Y. Lau, D. Chernin, D. G. Colombant, and P. T. Ho, Phys. Rev. Lett. 66, 1446 (1991).en_US
dc.identifier.citedreferenceA. W. Hull, Phys. Rev. 18, 31 (1921).en_US
dc.identifier.citedreferenceT. J. Orzechowski and G. Bekefi, Phys. Fluids 22, 978 (1979).en_US
dc.identifier.citedreferenceC. K. Birdsall and W. B. Bridges, Electron Dynamics of Diode Regions (Academic, New York, 1966), Chap. 5.en_US
dc.identifier.citedreferenceJ. C. Slater, Microwave Electronics (Van Nostrand, New York, 1950); E. Okress, Crossed-Field Microwave Devices (Academic, New York, 1961).en_US
dc.identifier.citedreferenceM. A. Pollack, University of California, Berkeley, California, Series No. 60, Issue No. 485 (unpublished, 1962). The referee has kindly pointed out to us that this unpublished report of Pollack contains a wealth of information. Specifically, the u0  =  0u0=0 curve in Fig. 1(a) of the present paper is identical to Fig. III.4-1 of Pollack, which was reproduced as Fig. 5.05d of Ref. 8. While neither Pollack nor Birdsall showed infinite slope of the maximum transmittable current (Jc)(Jc) as B/BH→1,B∕BH→1, they did note the infinite slopes in the other variables such as the transit angle, transit time and u, as B/BH→1B∕BH→1 in the u0  =  0u0=0 case. (See Figs. 5.05a, b, c of Ref. 8, reproduced from Pollack.) Pollack’s particle simulation and experiment showed that the anode noise current increased markedly as B→BH,B→BH, with noise currents far above full shot noise observed for B>BH.B>BH. A condensed version was given in M. A. Pollack and J. R. Whinnery, IEEE Trans. Electron Devices. ED-11, 81 (1964). Though highly suggestive, none of these earlier works made the claim that associated the limiting current with the Hull cutoff since they did not prove the “running out of solutions” for JcasB→BH.JcasB→BH. The latter is accomplished in the Appendix of this paper.en_US
dc.identifier.citedreferenceT. Van Duzer, IEEE Trans. Electron Devices ED-8, 78 (1961); ED-10, 370 (1963).en_US
dc.identifier.citedreferenceThis fraction (9/4π)(9∕4π) was also noted by Slater on p. 344 of Ref. 9. It is also implicit in Fig. 5.05d of Ref. 8. This fraction of the Child-Langmuir current has also been known as the characteristic current by G. B. Collins, Microwave Magnetrons (McGraw-Hill, New York, 1948).en_US
dc.owningcollnamePhysics, Department of


Files in this item

Name:
PFBPEI-5-12-4486-1.pdf
Size:
431.4KB
Format:
PDF
View/Open

Show simple item record

Remediation of Harmful Language

The University of Michigan Library aims to describe library materials in a way that respects the people and communities who create, use, and are represented in our collections. Report harmful or offensive language in catalog records, finding aids, or elsewhere in our collections anonymously through our metadata feedback form. More information at Remediation of Harmful Language.

Accessibility

If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.