All three terrorists reportedly used high-powered assault rifles, United States-made M4s and Russian-made AK-47s, in the attack, which was the first major strike of the year in an area.
The three have been identified as Illiyas, a former Pakistan Army commando, a Pakistani terrorist called Hadoon (or Hadun), and Abu Hamza, the code-name of the commander of the banned Lashkar-e-Taiba.
According to a sketch released by the J&K Police, Hamza is described as a 30-32-year-old man of medium build and fair complexion, sporting a trimmed haircut.
He was last seen wearing a Pathani suit with a brown shawl and an orange bag.
A reward of Rs. 10 lakh has been offered for information leading to his arrest.
The terrorist attack on the IAF convoy on May 4 followed numerous terrorist strikes in the Poonch and Rajouri areas over the past few weeks. In one of the targetted attacks in Rajouri, a 40-year-old man, a government employee, shot dead outside a mosque.
The 40-year-old man, Mohammad Razak, worked with the social welfare department, and his attackers used a United States-made M4 assault rifle and also a pistol.
Poonch is part of Anantnag-Rajouri parliamentary constituency, which will vote in the sixth phase of the ongoing Lok Sabha election on May 25.