# ABOUT PERIODIC INTERACTION OF TWO ELECTRON STREAMS BETWEEN THEMSELVES AND WITH FIELDS OF ELECTRODYNAMICS SYSTEMS

Cite this article as:

Golovanov N. A. ABOUT PERIODIC INTERACTION OF TWO ELECTRON STREAMS BETWEEN THEMSELVES AND WITH FIELDS OF ELECTRODYNAMICS SYSTEMS. Izvestiya VUZ, Applied Nonlinear Dynamics, 2017, vol. 25, iss. 4, pp. 71-81 DOI: 10.18500/0869-6632-2017-25-4-71-81

In this paper, brief review of new and early publications devoted to the interaction of electron streams and the enhancement due to the interference of partial waves in streams, and due to instability is adduced. The lay emphasis on the consideration the mechanism of periodic interaction of electron streams as applied to option of the variant double-stream traveling-wave tube, on the example of system consisting of two electron beams divided by the metallic perforated screen, which interact with the electromagnetic field. The addressing to this topic is due primarily to the fact that the two-stream instability and regime of the interference amplification, which take place with the continuous and periodic interaction of two different-speed electron streams, will allow creating new terahertz range devices. The periodic nature of the interaction is expressed in the fact that the wave processes in the streams are represented by an infinite set of spatial harmonics, and the interaction of the streams is reduced to their continuous interaction between themselves and with field of electrodynamics system.

A one-dimensional model of continuous and discrete two-beam interaction is considered. The

dispersion equation is obtained and the functional connection of its roots and the amplification factor from the parameter of desynchronism are constructed. Variable data are described by superposition of five partial waves for two electron beams interacting with electromagnetic field without backward radiation. Gain is determined either by electron-wave interaction or by interaction with circuit according to value of space-charge parameter. The variant of the device in which the discrete interaction is realized shows a significant increase in the gain and an increase in the band of the desynchronism parameter between the average flow velocity and the phase velocity of the unperturbed wave, in which there is an amplification compared to a one-beam traveling-wave tube and traveling-wave tube with two continuously interacting streams.

DOI: 10.18500/0869-6632-2017-25-4-71-81

Paper reference: Golovanov N.A. About periodic interaction of two electron streams between themselves and with fields of electrodynamics systems. Izvestiya VUZ. Applied Nonlinear Dynamics. 20217. Vol. 25. Issue 4. P. 71–81. DOI: 10.18500/0869-6632-2017-25-4-71-81

1. Zhang Y. and Dong L. Enhanced coherent terahertz Smith–Purcell superradiation excited by two electron-beams. Optic Express. 24 September 2012. Vol. 20, No.20.

2. Zhang Y., Zhou Y., Dong L. THz radiation from two electron-beams interaction within a bi-grating and a subwavelength holes array composite sandwich structure. Optic Express. 23 September 2013. Vol. 21, No.19.

3. Trubetskov D.I., Titov A.V. Funtov A.A. About interference gain in electron-wave tube. Technical Physics Letters. 2013. Vol. 39, No.21. Pp. 86–94 (in Russian).

4. Haeff A.V. The electron-wave tube – a novel method of generation and amplification of microwave energy. Proc. IRE. 1949. Vol. 37. Pp. 4–10.

5. Shevchik V.N., Trubetskov D.I. Discrete interaction between two electron beams. Izv. VUZ. Radiotekhnika. 1962. Vol. 5, Iss. 2 Pp. 143–157 (in Russian).

6. Shevchik V.N., Trubetskov D.I. Analytical Calculations in Microvawe Electronics. М. Soviet Radio, 1970. 584 p. (in Russian).

7. Solntsev V.A., Tager A.S. About periodical electron beam interaction. Izv.VUZ. Radiotekhnika. 1959. Vol. 2, Iss.1. P. 101 (in Russian).

8. Bernashevsky G.A. Space harmonics of electron wave. Journal of Communications Technology and Electronics. 1957. Vol. 2. Pp. 124–125 (in Russian).

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## BibTeX

author = {N. A. Golovanov},

title = {ABOUT PERIODIC INTERACTION OF TWO ELECTRON STREAMS BETWEEN THEMSELVES AND WITH FIELDS OF ELECTRODYNAMICS SYSTEMS},

year = {2017},

journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},

volume = {25},number = {4},

url = {http://andjournal.sgu.ru/en/articles/about-periodic-interaction-of-two-electron-streams-between-themselves-and-with-fields-of},

address = {Саратов},

language = {russian},

doi = {10.18500/0869-6632-2017-25-4-71-81},pages = {71--81},issn = {0869-6632},

keywords = {Interference,two-stream instability,periodic interaction of electron streams,discrete interaction of electron streams,double-stream traveling-wave tube},

abstract = {In this paper, brief review of new and early publications devoted to the interaction of electron streams and the enhancement due to the interference of partial waves in streams, and due to instability is adduced. The lay emphasis on the consideration the mechanism of periodic interaction of electron streams as applied to option of the variant double-stream traveling-wave tube, on the example of system consisting of two electron beams divided by the metallic perforated screen, which interact with the electromagnetic field. The addressing to this topic is due primarily to the fact that the two-stream instability and regime of the interference amplification, which take place with the continuous and periodic interaction of two different-speed electron streams, will allow creating new terahertz range devices. The periodic nature of the interaction is expressed in the fact that the wave processes in the streams are represented by an infinite set of spatial harmonics, and the interaction of the streams is reduced to their continuous interaction between themselves and with field of electrodynamics system. A one-dimensional model of continuous and discrete two-beam interaction is considered. The dispersion equation is obtained and the functional connection of its roots and the amplification factor from the parameter of desynchronism are constructed. Variable data are described by superposition of five partial waves for two electron beams interacting with electromagnetic field without backward radiation. Gain is determined either by electron-wave interaction or by interaction with circuit according to value of space-charge parameter. The variant of the device in which the discrete interaction is realized shows a significant increase in the gain and an increase in the band of the desynchronism parameter between the average flow velocity and the phase velocity of the unperturbed wave, in which there is an amplification compared to a one-beam traveling-wave tube and traveling-wave tube with two continuously interacting streams. DOI: 10.18500/0869-6632-2017-25-4-71-81 Paper reference: Golovanov N.A. About periodic interaction of two electron streams between themselves and with fields of electrodynamics systems. Izvestiya VUZ. Applied Nonlinear Dynamics. 20217. Vol. 25. Issue 4. P. 71–81. DOI: 10.18500/0869-6632-2017-25-4-71-81 Download full version }}