Simulation of robustness of a new e-beam column with the 3rd-order imaging technique

We are now investigating a new concept column with the 3rd-order imaging technique, in order to obtain fine resolution and high current density beams for electron beam direct writing (EBDW) suitable for below 32nm technology nodes. From the first experimental verification, it is found that the 3rd-order imaging has a benefit of increasing the beam current compared with conventional Gaussian beam without any beam blurring. However, in order to realize such a column which can work stably in the sub 32nm technology node generations, it is important to clarify how robust the 3rd-order imaging is against the mechanical tolerances in column manufacturing. This paper describes the tolerance analysis for errors of column manufacturing by simulation. The column has an electron gun with small virtual source and two (Gun and Main) lenses. A patterned beam defining aperture, which enables the 3rd-order imaging, is set between the 1st and the 2nd lenses. The influences of errors such as concentricity, offset and tilt between optical parts on the beam shape, beam current density distribution, and beam edge acuity on a wafer is analyzed for this column. According to these results, the 3rd-order imaging appears to have sufficiently large allowance compared to the error budget for column manufacturing required in the sub 32nm technology node patterning.