The Green's function on a slow wave structure is constructed. The Green's function includes all radial modes, and for each radial mode, all space harmonics. We compare the analytic solution of the frequency response on the slow wave structure with that obtained from a particle-in-cell code. Favorable comparison is obtained when the first few lower order modes are resonantly excited. This gives some confidence in the prediction of converting a pulse train into radiation using a slow wave structure.
REFERENCES
1.
A. M.
Belyantsev
, A. I.
Dubnev
, S. L.
Climin
, Yu A.
Kobelev
, and L. A.
Ostrovsky
, “Generation of radiopulses by EMSW on ferrite transmission lines
,” Zh. Tekh. Fiz.
65
(8
), 132
–142
(1995
).2.
N.
Seddon
, C.
Spikings
, and J.
Dolan
, “RF pulse formation in nonlinear transmission lines
,” in 2007 16th IEEE International Pulsed Power Conference
, Albuquerque, New Mexico, USA (2007
), Vol. 1
, pp. 678
–681
.3.
J.
Darling
and P.
Smith
, “High-power pulsed RF extraction from nonlinear lumped element transmission lines
,” IEEE Trans. Plasma Sci.
36
, 2598
–2603
(2008
).4.
Q. R.
Marksteiner
, B.
Carlsten
, and S.
Russell
, “Efficient generation of RF using a biased soliton generating nonlinear transmission line with a bipolar input
,” Microwave Opt. Technol. Lett.
52
, 1411
–1413
(2010
).5.
B. W.
Hoff
, D. M.
French
, S. L.
Heidger
, and A. D.
Greenwood
, “Nonlinear transmission line extraction systems
,” U.S. patent filing 13/469,005 (2012
).6.
R. J.
Barker
, J. H.
Booske
, N. C.
Luhmann
, and G. S.
Nusinovich
, Modern Microwave and Millimeter Wave Power Electronics
(IEEE
, Piscataway, NJ
, 2005
).7.
J. W.
Gewartowski
and H. A.
Watson
, Principles of Electron Tubes
(Van Norstrand
, New York
, 1965
).8.
Y. Y.
Lau
and D.
Chernin
, Phys. Fluids
B 4
, 3473
(1992
).9.
R. J.
Peterkin
and J. W.
Luginsland
, “A virtual prototyping environment for directed-energy concepts
,” Comput. Sci. Eng.
4
(2
), 42
–49
(2002
).10.
B.
Jean-Pierre
, “A perfectly matched layer for the absorption of electromagnetic waves
,” J. Comput. Phys.
114
(2
), 185
–200
(1994
).11.
F. B.
Hilderbrand
, Advanced Calculus for Applications
(Prentice-Hall
, Englewood, Cliffs, NJ
, 1962
).© 2012 American Institute of Physics.
2012
American Institute of Physics
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