Drones which forced the closure of Gatwick's runway are believed to be "industrial" models, police said.
All flights were suspended at 9pm on Wednesday after two of the devices were seen near the West Sussex airport.
Tens of thousands of passengers are suffering travel chaos as a result of the incident.
More than 20 police units from two forces are searching for the perpetrator.
Sussex Police posted a message on Twitter which stated: "It is believed that the Gatwick devices used are of an industrial specification. We are continuing to search for the operators."
Superintendent Justin Burtenshaw said police are acting on the basis that it is "a deliberate act to disrupt the airport".
He described attempts to catch whoever is controlling the gadgets as "painstaking" because it is "a difficult and challenging thing to locate them".
He added: "Each time we believe we get close to the operator, the drone disappears; when we look to reopen the airfield, the drone reappears."
Gatwick's chief operating officer, Chris Woodroofe, confirmed a recent drone sighting and said disruption would continue for several days.
He told BBC News: "Realistically if we do reopen today, what the airlines will seek to do is deal with the passengers who are on site and to prepare for an operation tomorrow morning where we repatriate passengers who are in the wrong place.
"It's realistically going to take several days to recover."
This could affect the Christmas getaway as thousands of people have booked flights to and from the airport to spend the festive period with family and friends.
Gatwick said the drones have been seen flying over the airport's perimeter fence and close to the runway.
Aviation Minister Baroness Sugg said: "These drones have been flown illegally and the operators, who have acted incredibly irresponsibly, could face up to five years in jail."
Passengers faced severe disruption as flights were unable to leave the tarmac, while others were diverted to alternative airports.
Some people reported being left stuck on planes for several hours while they waited to find out what was going on.
Aviation website airlive.net said inbound flights were diverted to a range of UK airports as well as Amsterdam and Paris.
Some 10,000 passengers were affected on Wednesday night, and a further 110,000 were due to either take off or land at the airport on 760 flights on Thursday.
Lyndsey Clarke, from Southend, said she was stuck on a plane for more than four hours after it was re-routed to Stansted.
The 27-year-old said passengers were having to get taxis back to Gatwick after they were finally allowed off the aircraft.
Luke McComiskie's plane ended up in Manchester, and he described chaotic scenes as people tried to find their way home after more than three hours stuck on board.
The 20-year-old, from Aldershot, told the Press Association: "We got told there would be some arrangements with coaches for us when we get out the terminal ... It was just chaos and they had only two coaches and taxis charging people £600 to get to Gatwick."