The square root approximation to the dispersion relation of the axially-symmetric electron wave on a cylindrical plasma
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1997
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This paper suggests the use of a simple square root approximation to the dispersion relation of axially-symmetric electron surface waves on cylindrical plasmas. The point is not merely to substitute the exact expression for the dispersion relation which involves a number of Bessel functions with a more tractable analytical approximant, but to cast the dispersion relation in a form useful in the comparison with other waves, such as water surface gravity waves and the associated tide-rip effect. The square root form of the dispersion relation is also of help in the analysis of surfactron plasmas, as it directly predicts a linear roll-off of electron density in the discharge.
Извор:
Zeitschrift fur Naturforschung. Section A: Journal of Physical Sciences, 1997, 52, 10, 709-712Напомена:
- Open access from 2nd June 2014.
DOI: 10.1515/zna-1997-1004
ISSN: 0932-0784
WoS: A1997YG04100004
Scopus: 2-s2.0-0039328024
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Институција/група
VinčaTY - JOUR AU - Babović, Vukota M. AU - Aničin, Božidar AU - Davidović, Dragomir M. PY - 1997 UR - https://vinar.vin.bg.ac.rs/handle/123456789/2094 AB - This paper suggests the use of a simple square root approximation to the dispersion relation of axially-symmetric electron surface waves on cylindrical plasmas. The point is not merely to substitute the exact expression for the dispersion relation which involves a number of Bessel functions with a more tractable analytical approximant, but to cast the dispersion relation in a form useful in the comparison with other waves, such as water surface gravity waves and the associated tide-rip effect. The square root form of the dispersion relation is also of help in the analysis of surfactron plasmas, as it directly predicts a linear roll-off of electron density in the discharge. T2 - Zeitschrift fur Naturforschung. Section A: Journal of Physical Sciences T1 - The square root approximation to the dispersion relation of the axially-symmetric electron wave on a cylindrical plasma VL - 52 IS - 10 SP - 709 EP - 712 DO - 10.1515/zna-1997-1004 UR - https://hdl.handle.net/21.15107/rcub_vinar_2094 ER -
@article{ author = "Babović, Vukota M. and Aničin, Božidar and Davidović, Dragomir M.", year = "1997", abstract = "This paper suggests the use of a simple square root approximation to the dispersion relation of axially-symmetric electron surface waves on cylindrical plasmas. The point is not merely to substitute the exact expression for the dispersion relation which involves a number of Bessel functions with a more tractable analytical approximant, but to cast the dispersion relation in a form useful in the comparison with other waves, such as water surface gravity waves and the associated tide-rip effect. The square root form of the dispersion relation is also of help in the analysis of surfactron plasmas, as it directly predicts a linear roll-off of electron density in the discharge.", journal = "Zeitschrift fur Naturforschung. Section A: Journal of Physical Sciences", title = "The square root approximation to the dispersion relation of the axially-symmetric electron wave on a cylindrical plasma", volume = "52", number = "10", pages = "709-712", doi = "10.1515/zna-1997-1004", url = "https://hdl.handle.net/21.15107/rcub_vinar_2094" }
Babović, V. M., Aničin, B.,& Davidović, D. M.. (1997). The square root approximation to the dispersion relation of the axially-symmetric electron wave on a cylindrical plasma. in Zeitschrift fur Naturforschung. Section A: Journal of Physical Sciences, 52(10), 709-712. https://doi.org/10.1515/zna-1997-1004 https://hdl.handle.net/21.15107/rcub_vinar_2094
Babović VM, Aničin B, Davidović DM. The square root approximation to the dispersion relation of the axially-symmetric electron wave on a cylindrical plasma. in Zeitschrift fur Naturforschung. Section A: Journal of Physical Sciences. 1997;52(10):709-712. doi:10.1515/zna-1997-1004 https://hdl.handle.net/21.15107/rcub_vinar_2094 .
Babović, Vukota M., Aničin, Božidar, Davidović, Dragomir M., "The square root approximation to the dispersion relation of the axially-symmetric electron wave on a cylindrical plasma" in Zeitschrift fur Naturforschung. Section A: Journal of Physical Sciences, 52, no. 10 (1997):709-712, https://doi.org/10.1515/zna-1997-1004 ., https://hdl.handle.net/21.15107/rcub_vinar_2094 .