The two-dimensional theory of the Smith-Purcell free-electron laser of Andrews and Brau [H. L. Andrews and C. A. Brau, Phys. Rev. ST Accel. Beams 7, 070701 (2004)] predicts that coherent Smith-Purcell radiation can occur only at harmonics of the frequency of the evanescent wave that is resonant with the beam. A particle-in-cell simulation shows that in a three-dimensional context, where the lamellar grating has sidewalls, coherent Smith-Purcell radiation can be copiously emitted at the fundamental frequency, for a well-defined range of beam energy.
REFERENCES
1.
S. J.
Smith
and E. M.
Purcell
, Phys. Rev.
92
, 1069
(1953
).2.
A.
Gover
and Z.
Livni
, Opt. Commun.
26
, 375
(1978
).3.
J. M.
Wachtel
, J. Appl. Phys.
50
, 49
(1979
).4.
L.
Schächter
and A.
Ron
, Phys. Rev. A
40
, 876
(1989
).5.
C. S.
Liu
and V. K.
Tripathi
, IEEE J. Quantum Electron.
35
, 1386
(1999
).6.
H. L.
Andrews
and C. A.
Brau
, Phys. Rev. ST Accel. Beams
7
, 070701
(2004
).7.
V.
Kumar
and K.-J.
Kim
, Phys. Rev. E
73
, 026501
(2006
).8.
B.
Goplen
, L.
Ludeking
, D.
Smithe
, and G.
Warren
, Comput. Phys. Commun.
87
, 54
(1995
).9.
J. T.
Donohue
and J.
Gardelle
, Phys. Rev. ST Accel. Beams
8
, 060702
(2005
).10.
D.
Li
, Z.
Yang
, K.
Imasaki
, and G.-S.
Park
, Phys. Rev. ST Accel. Beams
9
, 040701
(2006
).11.
H. L.
Andrews
, C. A.
Brau
, J. D.
Jarvis
, C. F.
Guertin
, A.
O’Donnell
, B.
Durant
, T. H.
Lowell
, and M. R.
Mross
, Phys. Rev. ST Accel. Beams
12
, 080703
(2009
).12.
J.
Gardelle
, L.
Courtois
, P.
Modin
, and J. T.
Donohue
, Phys. Rev. ST Accel. Beams
12
, 110701
(2009
).13.
J.
Gardelle
, P.
Modin
, and J. T.
Donohue
, Phys. Rev. Lett.
105
, 224801
(2010
).14.
J.
Gardelle
and J. T.
Donohue
, IEEE Trans. Electron Devices
56
, 769
(2009
).15.
D.
Li
, K.
Imasaki
, X.
Gao
, Z.
Yang
, and G.-S.
Park
, Appl. Phys. Lett.
91
, 221506
(2007
).16.
J. T.
Donohue
and J.
Gardelle
, Phys. Rev. ST Accel. Beams
14
, 060709
(2011
).17.
B. D.
McVey
, M. A.
Basten
, J. H.
Booske
, J.
Joe
, and J.E.
Scharer
, IEEE Trans. Microwave Theory Tech.
42
, 995
, (1994
).18.
K.-J.
Kim
and V.
Kumar
, Phys. Rev. ST Accel. Beams
10
, 080702
(2007
).19.
H. L.
Andrews
, C. H.
Boulware
, C. A.
Brau
, J. T.
Donohue
, J.
Gardelle
, and J. D.
Jarvis
, New J. Phys.
8
, 289
(2006
).© 2011 American Institute of Physics.
2011
American Institute of Physics
You do not currently have access to this content.
