Flight Crew Air Transport Pilot (ATP)
Confusion
Aircraft Equipment Problem Less Severe
Flight Crew Diverted; Flight Crew Landed As Precaution; General Maintenance Action
Aircraft
After leveling off at FL410; power was being reduced to set normal cruise thrust; a loud bang was heard from the right side of the plane. The plane shook and yawed briefly to the right. Occurrence happened only once.  Fuel flow and ITT remained stable.  The right ITT was higher than the left by about 50 deg but well within limits.  The ITT eventually lowered to correspond with the other Left ITT. The situation was stable; so my copilot and I discussed the situation. Although indications were normal in the cockpit; there were a host of possibilities as to what would have caused such a loud boom and shake the aircraft as it did. We called the ACP (Chief Pilot); to relay our request for diversion.  He agreed and we coordinated with Dispatch for a diversion.  We maintained the aircraft at slower airspeed as a factor of safety.  Post flight reviewed no obvious damage to the aircraft. After our crew debrief; we suspect we could have had a compressor stall.
CE560XL Captain experiences a compressor stall at FL410 as the thrust is reduced for cruise flight. The engine continues to run and after a few minutes exhibits normal parameters; but the crew elects to divert to a suitable airport. No obvious damage is found.