P180 FLT CREW RECEIVES NOTIFICATION; AFTER THE FACT; THAT FAA INSPECTOR BELIEVES THEY TOOK OFF WITH ICE OR SNOW ADHERING TO THEIR WINGS.

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I LANDED AT ZZZ AND I WAS RAMP CHKED. THE INSPECTOR ASKED TO SEE OUR PART 135 NUMBER; WHICH I SHOWED HIM. HE ALSO INSPECTED MY LICENSE; AND MEDICAL. WE TALKED A WHILE AND THEN HE WENT TO CHK OTHER ACFT. WHILE WAITING FOR PAX I DID A WALKAROUND THE ACFT. MY PAX ARRIVED AND BOARDED THE ACFT. I DID A VISUAL INSPECTION OF THE FORWARD WING PRIOR TO ENTERING THE ACFT FOR CONTAMINATION. I STARTED THE ENGS THEN RECEIVED MY CLRNC. I COMPLETED THE CHKLISTS AND TAXIED OUT. AT THE HOLD SHORT LINE I COMPLETED ALL BEFORE TKOF CHKS AND DID AN ENG RUN-UP. I CHKED THE FRONT WING ONE LAST TIME FOR CONTAMINATION; THEN WAS CLRED FOR TKOF. UPON COMPLETING MY TRIP; MY COMPANY CALLED ME TO TELL THEM THAT THE INSPECTOR SAID THAT I DEPARTED WITH ICE ON THE ACFT. I BELIEVE THAT THE ACFT WAS CLEAN PRIOR TO DEP. SUPPLEMENTAL INFO FROM ACN 764910: I WAS SITTING IN THE COCKPIT AFTER WE LANDED AT ZZZ. I WAS APCHED BY AN FAA INSPECTOR. HE ASKED ME QUESTIONS ABOUT THE OP AND THE ANTI-ICE SYS ON THE ACFT. I TOLD HIM WHAT HE WANTED TO KNOW. HE SEEMED FRIENDLY AND CURIOUS ABOUT THE ACFT. I TOLD HIM I DIDN'T MIND IF HE BOARDED THE ACFT TO DO A RAMP CHK WHEN HE ASKED. I THEN ASKED HIM TO SPEAK WITH THE CAPT FOR ANY MORE QUESTIONS AND TO NOTIFY HIM OF THE RAMP CHK. HE RETURNED WITH THE CAPT AND WE PRESENTED HIM WITH OUR LICENSES AND MEDICALS. THE FAA INSPECTOR DID HAVE IDENT BUT NO 110B. AFTER HE SAW OUR LICENSES HE SENT US ON OUR WAY AND THANKED US. APPROX 1 HR LATER THE CAPT DID A WALKAROUND AND NOTED NO ICE ON THE CTL SURFACES. WE THEN LOADED THE PAX. WITH AN UNEXPECTED DEST CHANGE WE SPENT 10 MINS ON THE GND IN FRONT OF THE FBO RELOADING THE FMS AND GETTING A NEW CLRNC. DURING THAT TIME I NOTICED THE FAA INSPECTOR OBSERVING US AND FERVENTLY WRITING. I DID NOT SEE ANY ICE ON THE ACFT. THE CAPT ON HIS WALKAROUND DID NOT SEE ANY ICE. AFTER LNDG AT OUR DEST WE RECEIVED A CALL THAT THE FAA INSPECTOR HAD CALLED SAYING WE DEPARTED WITH ICE. THE INSPECTOR HAD AMPLE TIME TO STOP US AND NOTIFY US OF ICE ON THE ACFT BEFORE TKOF WHICH HE CHOSE NOT TO DO. WHEN LATER CONTACTED THE LINE PERSONNEL SAID THEY DIDN'T OBSERVE ICE ON TAXI OUT OR TKOF. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: THE ACTUAL PRECIPITATION FALLING AT THE TIME WAS LIGHT SNOW PELLETS; WHICH WAS NOT ADHERING TO THE WINGS. THE P180 IS EQUIPPED WITH AN ICE DETECTION SYSTEM THAT WORKS VERY WELL; AND DID NOT ACTIVATE AT ANY TIME DURING THE TKOF OR CLIMB OUT.