Phys. Rev. E 61, 7057–7064 (2000)Optimization of Smith-Purcell radiation at very high energiesReceived 14 December 1999; published in the issue dated June 2000 A theoretical analysis of Smith-Purcell radiation at very high energies is presented. The energy per unit frequency and solid angle is expressed in closed form as a function of the grating geometry, beam energy, and viewing angles. A certain choice of grating geometry is shown to optimize the output energy for a particular order of radiation. Scaling laws are derived for the energy emitted into all orders of radiation in the relativistic limit. It is shown that the total energy emitted into each order scales as the three-halves power of the beam voltage. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.61.7057
DOI:
10.1103/PhysRevE.61.7057
PACS:
41.60.Cr, 41.75.Ht
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