Hydrodynamic Analysis of Noise in a Finite‐Temperature Electron Beam
dc.contributor.author | Hsieh, H. C. | en_US |
dc.date.accessioned | 2010-05-06T22:30:42Z | |
dc.date.available | 2010-05-06T22:30:42Z | |
dc.date.issued | 1965-08 | en_US |
dc.identifier.citation | Hsieh, H. C. (1965). "Hydrodynamic Analysis of Noise in a Finite‐Temperature Electron Beam." Journal of Applied Physics 36(8): 2414-2421. <http://hdl.handle.net/2027.42/70660> | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/70660 | |
dc.description.abstract | On the basis of a small‐signal, one‐dimensional analysis, a set of basic macroscopic differential equations, governing the fluctuations in quantities such as the electron‐beam temperature, the mean velocity, and the current density, has been derived by taking moments of the Liouville equation with respect to the velocity variable. This set of differential equations expresses the conservations of charge, momentum, and energy, and is valid for an arbitrary amount of velocity spreading and includes the effect of heat conduction.A system of differential equations, governing the correlation among the fluctuations in the mean velocity, current density, and beam temperature, is also derived. The relationship among the various noise parameters along the electron beam is obtained in the form of a system of differential equations whose solution gives detailed information on the variation of the noisiness parameter along the beam. The solution of the system of differential equations thus derived is also discussed. | en_US |
dc.format.extent | 3102 bytes | |
dc.format.extent | 581949 bytes | |
dc.format.mimetype | text/plain | |
dc.format.mimetype | application/pdf | |
dc.publisher | The American Institute of Physics | en_US |
dc.rights | © The American Institute of Physics | en_US |
dc.title | Hydrodynamic Analysis of Noise in a Finite‐Temperature Electron Beam | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Electron Physics Laboratory, Department of Electrical Engineering, The University of Michigan, Ann Arbor, Michigan | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/70660/2/JAPIAU-36-8-2414-1.pdf | |
dc.identifier.doi | 10.1063/1.1714502 | en_US |
dc.identifier.source | Journal of Applied Physics | en_US |
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dc.identifier.citedreference | Y. W. Lee, Statistical Theory of Communication (John Wiley & Sons, Inc., New York, 1960), Chap. 2. | en_US |
dc.identifier.citedreference | J. B. Scarborough, Numerical Mathematical Analysis (The John Hopkins Press, Baltimore, Maryland, 1962), 5th ed., p. 301. | en_US |
dc.identifier.citedreference | I. Langmuir, Phys. Rev. 21, 419 (1923). | en_US |
dc.owningcollname | Physics, Department of |
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