Abstract

Taking the ${\mathrm{TEM}}_{1,0}$-mode Hermite–Gaussian (H–G) beam as a numerical calculation example, and based on the method of the perturbation series expansion, the higher-order field corrections of H–G beams are derived and used to study the electron acceleration by a tightly focused H–G beam in vacuum. For the case of the off-axis injection the field corrections to the terms of order $f^3$ ($f=1∕k{w}_0$, k and $w_0$ being the wavenumber and waist width, respectively) are considered, and for the case of the on-axis injection the contributions of the terms of higher orders are negligible. By a suitable optimization of injection parameters the energy gain in the giga-electron-volt regime can be achieved.

© 2008 Optical Society of America

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