A mechanical firing system is used to detonate energetic material, such as external perforating charges, disposed on an apparatus deployed on tubing in a wellbore. In one embodiment, a through-bulkhead explosive energy transfer is used to deliver the detonation from the mechanical firing system to an external detonator. In another embodiment, the mechanical firing system delivers an electric pulse to initiate a detonator. A through-wire pressure bulkhead isolates the source of electric power from the wellbore environment. The electrical source can be a magneto-based device or can use a piezoelectric device.