Peer-to-peer locking of two magnetrons is analyzed including the effects of a frequency chirp and of low frequency noise. It is found that complete phase locking cannot be achieved in either case. However, as long as the locking condition is well satisfied instantaneously, a high degree of locking occurs. This analysis in the time domain is adapted to locking in the spatial domain, in particular to the interpretation of some recent experiments on the spatial correlation of two ablating current-carrying wires that are placed sufficiently close to each other.
REFERENCES
1.
A.
Pikovsky
, M.
Rosenblum
, and J.
Kurths
, Synchronization
(Cambridge University Press
, Cambridge
, 2001
).2.
J.
Benford
, J. A.
Swegle
, and E.
Schamiloglu
, High Power Microwave Sources and Technologies
(Taylor & Francis
, London
, 2007
).3.
R.
Adler
, Proc. IEEE
61
, 1380
(1973
);4.
P.
Pengvanich
, Y. Y.
Lau
, E.
Cruz
, R. M.
Gilgenbach
, B.
Hoff
, and J. W.
Luginsland
, Phys. Plasmas
15
, 103104
(2008
).5.
E. J.
Cruz
, B. W.
Hoff
, P.
Pengvanich
, Y. Y.
Lau
, R. M.
Gilgenbach
, and J. W.
Luginsland
, Appl. Phys. Lett.
95
, 191503
(2009
).6.
J. C.
Zier
, J. D.
Douglass
, I. C.
Blesener
, K. S.
Blesener
, D. A.
Chalenski
, R. M.
Gilgenbach
, J. B.
Greenly
, D. A.
Hammer
, P. F.
Knapp
, B. R.
Kusse
, Y. Y.
Lau
, R. D.
McBride
, W.
Syed
, and E. P.
Yu
, Phys. Plasmas
16
, 102702
(2009
).7.
M. G.
Mazarakis
, C.
Deeney
, M. R.
Douglas
, W. A.
Stygar
, D. B.
Sinars
, M. E.
Cuneo
, J. P.
Chittenden
, G. A.
Chandler
, T. J.
Nash
, K. W.
Struve
, and D. H.
McDaniel
, Plasma Devices Oper.
13
, 157
(2005
).8.
D. B.
Sinars
, M. E.
Cuneo
, E. P.
Yu
, D. E.
Bliss
, T. J.
Nash
, J. L.
Porter
, C.
Deeney
, M. G.
Mazarakis
, G. S.
Sarkisov
, and D. F.
Wenger
, Phys. Rev. Lett.
93
, 145002
(2004
).9.
T. W. L.
Sanford
, G. O.
Allshouse
, B. M.
Marder
, T. J.
Nash
, R. C.
Mock
, R. B.
Spielman
, J. F.
Seamen
, J. S.
McGurn
, D.
Jobe
, T. L.
Gilliland
, M.
Vargas
, K. W.
Struve
, W. A.
Stygar
, M. R.
Douglas
, M. K.
Matzen
, J. H.
Hammer
, J. S.
De Groot
, J. L.
Eddleman
, D. L.
Peterson
, D.
Mosher
, K. G.
Whitney
, J. W.
Thornhill
, P. E.
Pulsifer
, J. P.
Apruzese
, and Y.
Maron
, Phys. Rev. Lett.
77
, 5063
(1996
).10.
S. V.
Lebedev
, F. N.
Beg
, S. N.
Bland
, J. P.
Chittenden
, A. E.
Dangor
, M. G.
Haines
, S. A.
Pikuz
, and T. A.
Shelkovenko
, Phys. Rev. Lett.
85
, 98
(2000
).11.
J. P.
Chittenden
and C. A.
Jennings
, Phys. Rev. Lett.
101
, 055005
(2008
).12.
S. C.
Chen
, IEEE Trans. Plasma Sci.
18
, 570
(1990
).13.
J.
Benford
, H.
Sze
, W.
Woo
, R. R.
Smith
, and B.
Harteneck
, Phys. Rev. Lett.
62
, 969
(1989
).14.
P.
Pengvanich
, Y. Y.
Lau
, J. W.
Luginsland
, R. M.
Gilgenbach
, E.
Cruz
, and E.
Schamiloglu
, Phys. Plasmas
15
, 073110
(2008
).© 2010 American Institute of Physics.
2010
American Institute of Physics
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