Discharge tubes for a lamp include a body portion with a first end, a second end, and a tubular member defining an interior area. The tubular member extends along an elongated axis between the first end and the second end. The discharge tube includes a first end portion provided at the first end of the body portion. The first end portion includes a first tapered portion that is tapered in a direction extending substantially perpendicular from the elongated axis. The first tapered portion includes an interior surface facing the interior area. The tapered portion spans between a maximum extent in the direction of the elongated axis and a minimum extent in the direction of the elongated axis.