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Analytic Calculation of Electric Fields of Coherent THz Pulses
The coherently emitted electric field pulse of a short electron bunch is obtained by summing the fields of the individual electrons, taking phase differences due to different longitudinal positions into account. For an electron density, this sum becomes an integral over the charge density and frequency spectrum of the emitted radiation, which, however, is difficult to evaluate numerically. In this paper, we present a fast analytic method valid for arbitrary bunch shapes. We also includedoi:10.18429/jacow-ipac2014-mopro067 fatcat:kafmyh3wdbamxfat535t4pmd74