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Pulse shape and spectrum of coherent diffraction-limited transition radiation from electron beams

Published online by Cambridge University Press:  01 October 2004

J. VAN TILBORG ,
C.B. SCHROEDER ,
E. ESAREY  and
W.P. LEEMANS
J. VAN TILBORG
Affiliation:
Lawrence Berkeley National Laboratory, University of California, Berkeley, California
C.B. SCHROEDER
Affiliation:
Lawrence Berkeley National Laboratory, University of California, Berkeley, California
E. ESAREY
Affiliation:
Lawrence Berkeley National Laboratory, University of California, Berkeley, California
W.P. LEEMANS
Affiliation:
Lawrence Berkeley National Laboratory, University of California, Berkeley, California
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Abstract

The electric field in the temporal and spectral domain of coherent diffraction-limited transition radiation is studied. An electron bunch, with arbitrary longitudinal momentum distribution, propagating at normal incidence to a sharp metal-vacuum boundary with finite transverse dimension is considered. A general expression for the spatiotemporal electric field of the transition radiation is derived, and closed-form solutions for several special cases are given. The influence of parameters such as radial boundary size, electron momentum distribution, and angle of observation on the waveform (e.g., radiation pulse length and amplitude) are discussed. For a Gaussian electron bunch, the coherent radiation waveform is shown to have a single-cycle profile. Application to a novel THz source based on a laser-driven accelerator is discussed.

Keywords

Coherent transition radiationDiffractionElectron beamsRadiation temporal profile
Type
INTERNATIONAL WORKSHOP ON LASER AND PLASMA ACCELERATORS
Information
Laser and Particle Beams , Volume 22 , Issue 4 , October 2004 , pp. 415 - 422
Copyright
© 2004 Cambridge University Press

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Footnotes

This paper was delivered at the International Workshop on Laser and Plasma Accelerators, held at Portovenere, Italy, September 29 to October 3, 2003.

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