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《《pop》》.pdf
PHYSICS OF PLASMAS 17, 056708 2010
Scalings for radiation from plasma bubblesa…
A. G. R. Thomasb
Department of Nuclear Engineering and Radiological Sciences, University of Michigan,
Ann Arbor, Michigan 48109, USA
Received 27 December 2009; accepted 2 March 2010; published online 14 April 2010
In this paper, electron trajectories are studied analytically in the rest frame of a plasma bubble using
nonevolving, linear, radial electric and azimuthal magnetic fields in a spherical structure. The
electron motion is broken into two distinct periods; one where it orbits around the periphery to the
rear of the bubble, and one where it performs oscillations within the bubble interior. By using the
first period as an initial condition for the second, general scalings are developed for the x-ray
radiation produced by the electron oscillations. The equations are also analyzed to give self-
trapping conditions for the electron and to examine the sensitivity of the transverse momentum
to small variations from an orbit that is a circular arc. The scalings are in reasonable agreement
with recent experiments on x-ray generation and predict a peak spectral brightness of
27 photons / s mrad mm 0.1%BW of radiation with a critical energy of 300 MeV using a
S 6 10
single stage accelerator driven by a 120 PW laser. © 2010 American Institute of Physics.
doi: 10.1063/1.3368678
I. INTRODUCTION wavelength, b . The spectrum of radiation produced by a
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