An Electrostatic Lens to Reduce Parallax in Banana Gas Detectors

Cylindrical "banana" gas detectors are often used in fixed-target experiments, because they are free of parallax effects in the equatorial plane. However, there is a growing demand to increase the height of these detectors in order to be more efficient or to cover more solid angle, and hence a parallax effect starts to limit the resolution in that direction. In this paper we propose a hardware correction for this problem which reduces the parallax error thanks to an applied potential on the front window that makes the electrostatic field lines radially pointing to the interaction point at the entrance window. A detailed analytical analysis of the solution is also presented.