The injection locking of a magnetron is theoretically analyzed when either the free running oscillator or the drive signal has a frequency chirp. It is found that complete phase locking of the signal cannot be achieved in either case. However, as long as the locking condition of Adler is well-satisfied instantaneously, a high degree of locking occurs during a major duration of the frequency chirps. The expected output phase variation is computed in terms of the noise in the free-running magnetron oscillator for the case of constant drive frequency.
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 Microwaves
, 2nd ed. (Taylor and Francis
, New York
, 2007
).3.
R. M.
Gilgenbach
, Y. Y.
Lau
, H.
McDowell
, K. L.
Cartwright
, and T. A.
Spencer
, in Modern Microwave and Millimeter-Wave Power Electronics
, edited by R. J.
Barker
, J. H.
Booske
, N. C.
Luhmann
, and G. S.
Nusinovich
(IEEE/Wiley
, New York
, 2005
), Chap. 6.4.
J.
Benford
, H.
Sze
, W.
Woo
, R. R.
Smith
, and B.
Harteneck
, Phys. Rev. Lett.
62
, 969
(1989
).5.
H.
Sze
, R. R.
Smith
, J. N.
Benford
, and B. D.
Harteneck
, IEEE Trans. Electromagn. Compat.
34
, 235
(1992
).6.
J. S.
Levine
, N.
Aiello
, J.
Benford
, and B.
Harteneck
, J. Appl. Phys.
70
, 2838
(1991
).7.
S. C.
Chen
, IEEE Trans. Plasma Sci.
18
, 570
(1990
).8.
S. C.
Chen
, G.
Bekefi
, and R.
Temkin
, “Operation of a long-pulse relativistic magnetron in a phase-locking system
,” in Intense Microwave and Particle Beams, edited by H. E.
Brandt
, Proc. SPIE
1226
, 36
(1990
).9.
C.
Chen
, H.-W.
Chan
, and R. C.
Davidson
, “Parametric simulation studies and injection phase locking of relativistic magnetrons
,” in Intense Microwave and Particle Beams II, edited by H. E.
Brandt
, Proc. SPIE
1407
, 105
(1991
).10.
W. M.
White
, R. M.
Gilgenbach
, M. C.
Jones
, V. B.
Neculaes
, Y. Y.
Lau
, P.
Pengvanich
, N. M.
Jordan
, B. W.
Hoff
, R.
Edgar
, T. A.
Spencer
, and D.
Price
, IEEE Trans. Plasma Sci.
34
, 627
(2006
).11.
V. B.
Neculaes
, R. M.
Gilgenbach
, M.
Lopez
, Y. Y.
Lau
, M. C.
Jones
, W. M.
White
, P.
Pengvanich
, M. D.
Johnston
, T.
Strickler
, T. A.
Spencer
, J. W.
Luginsland
, M.
Haworth
, K.
Cartwright
, M.
Mardahl
, T.
Murphy
, and D.
Price
, in High Energy Density and High Power RF
, edited by S. H.
Gold
and G. S.
Nusinovich
, AIP Conference Proceedings No. 691
(American Institute of Physics
, Melville, New York
, 2003
), p. 301
.12.
P.
Pengvanich
, V. B.
Neculaes
, Y. Y.
Lau
, R. M.
Gilgenbach
, M. C.
Jones
, W. M.
White
, and R. D.
Kowalczyk
, J. Appl. Phys.
98
, 114903
(2005
).13.
V. B.
Neculaes
, R. M.
Gilgenbach
, and Y. Y.
Lau
, Appl. Phys. Lett.
83
, 1938
(2003
);V. B.
Neculaes
, R. M.
Gilgenbach
, and Y. Y.
Lau
, U.S. Patent No. 6,872,929 (29 March 2005
);V. B.
Neculaes
, R. M.
Gilgenbach
, and Y. Y.
Lau
, U.S. Patent No. 6,921,890 (26 July 2005
).14.
V. B.
Neculaes
, Ph.D. thesis, University of Michigan
, Ann Arbor, 2005
.15.
V. B.
Neculaes
, R. M.
Gilgenbach
, Y. Y.
Lau
, M. C.
Jones
, and W.
White
, IEEE Trans. Plasma Sci.
32
, 1152
(2004
).16.
M. C.
Jones
, V. B.
Neculaes
, W.
White
, Y. Y.
Lau
, R. M.
Gilgenbach
, J. W.
Luginsland
, P.
Pengvanich
, N. M.
Jordan
, Y.
Hidaka
, and H.
Bosman
, IEEE Trans. Electron Devices
52
, 858
(2005
).17.
J. W.
Luginsland
, Y. Y.
Lau
, V. B.
Neculaes
, R. M.
Gilgenbach
, M. C.
Jones
, M. H.
Frese
, and J. J.
Watrous
, Appl. Phys. Lett.
84
, 5425
(2004
).18.
V. B.
Neculaes
, P.
Pengvanich
, Y.
Hidaka
, Y. Y.
Lau
, R. M.
Gilgenbach
, W. M.
White
, M. C.
Jones
, H. L.
Bosman
, and J. W.
Luginsland
, IEEE Trans. Plasma Sci.
33
, 654
(2005
).19.
M. C.
Jones
, V. B.
Neculaes
, Y. Y.
Lau
, R. M.
Gilgenbach
, and W.
White
, Appl. Phys. Lett.
85
, 6332
(2004
).20.
M. C.
Jones
, V. B.
Neculaes
, Y. Y.
Lau
, R. M.
Gilgenbach
, W. M.
White
, B. W.
Hoff
, and N. M.
Jordan
, Appl. Phys. Lett.
87
, 081501
(2005
).21.
M.
Fuks
and E.
Schamiloglu
, Phys. Rev. Lett.
95
, 205101
(2005
).22.
H. L.
Bosman
, M. I.
Fuks
, S.
Prasad
, and E.
Schamiloglu
, IEEE Trans. Plasma Sci.
34
, 606
(2006
).23.
J. I.
Kim
, J. H.
Won
, and G. S.
Park
, Appl. Phys. Lett.
86
, 171501
(2005
).24.
J. M.
Osepchuk
, IEEE Trans. Microwave Theory Tech.
50
, 975
(2002
).25.
W. C.
Brown
, “Technical Paper: A Reporting of Personal Observations of Noise in Magnetrons and CFAs
,” Raytheon, Microwave and Power Tube Division, Waltham, MA, 1988
.26.
27.
R.
Adler
, Proc. IEEE
61
, 1380
(1973
).28.
D.
Price
, H.
Sze
, and D.
Fittinghoff
, J. Appl. Phys.
65
, 5185
(1989
).29.
D.
Price
and H. M.
Sze
, IEEE Trans. Plasma Sci.
18
, 580
(1990
).© 2008 American Institute of Physics.
2008
American Institute of Physics
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