LOS ANGELES (CNN) -

A SWAT team has stormed a cabin near Big Bear Lake where a suspect believed to be renegade ex-Los Angeles police officer Christopher Jordan Dorner had holed up after a fatal shootout with sheriff's deputies, a source familiar with the operation told CNN.

The cabin caught fire after police detonated smoke devices inside the cabin, the source said.

Aerial images showed heavy smoke and flames coming from a structure.

One of the two sheriff's deputies wounded in the shootout with the suspect died earlier Tuesday, San Bernardino County Sheriff John McMahon told reporters at California's Loma Linda University Medical Center. The other deputy was in surgery "but he should be fine," McMahon said.

The wounded officers had been taken to the Loma Linda facility with "unknown injuries," after a shootout with a man at a police roadblock near Big Bear, the San Bernardino Sheriff's office said earlier in a statement.

A law enforcement source told CNN that Dorner had stolen a vehicle from a house and opened fire on the deputies before fleeing. Dorner later was surrounded by authorities, the source said.

Dorner barricaded himself inside a cabin, the sheriff's statement said.

At one point during the afternoon, the sheriff issued a statement asking news helicopters to pull back from the area because "gunfire is being exchanged."

Los Angeles police spokesman Adam Smith gave few details at an afternoon news conference about what was happening at Big Bear Lake, saying authorities believed the suspect had access to television and might be watching coverage.

"If he's watching this, the message for himself is enough is enough," Smith told reporters. "It's time to turn yourself in, it's time to stop the bloodshed."

Authorities have been searching for Dorner since last week, after he was named as the suspect in the shooting deaths of the daughter of his police union representative and her fiance. Police also say he killed one police officer in Riverside and wounded two others on February 7.

The violent spree, authorities say, was part of Dorner's campaign of vigilante justice for what he believes was his unfair termination.

Los Angeles police spokesman Lt. Andy Neiman said Tuesday that the department had received more than 1,000 tips on Dorner's whereabouts. Some of the calls have come from Dorner's acquaintances or people who think they have spotted the fugitive.

The pace of tips being given to investigators increased by 400% after the city of Los Angeles put up a $1 million reward on Sunday for information leading to Dorner's arrest and conviction, Neiman said.

The search for the 270-pound, 6-foot Dorner has focused on the Big Bear Lake area, where authorities say his burning truck was discovered last week.

Over the past two weeks, the search, considered one of the largest in the history of Southern California, has taken authorities from Orange County to the border of Mexico and from Los Angeles to Big Bear Lake.

"Big Bear's still where we're looking right now," Neiman said Tuesday. The search area surrounds where Dorner's burning truck was discovered last Thursday .

"Until we can confirm that he's either there or he's not there, this investigation has to stick with what we know and what we know is that we found evidence that he was there," Neiman said.

While the LAPD spokesman told reporters he was "not ready to confirm" that a man seen in security camera video from a Southern California sporting goods store was Dorner, the Los Angeles Times quoted unnamed law enforcement sources saying it was him.

The video, published Monday by the celebrity news website TMZ.com, shows the man carrying what appears to be scuba equipment at the Sports Chalet store in Torrance, California, on February 1, two days before the killings of Monica Quan, the daughter of the police union rep, and her fiancé, Keith Lawrence.

A "no bail" arrest warrant was issued for Dorner after the Riverside County district attorney filed a murder charge Monday against him in the killing of Riverside Police Officer Michael Crain.

"That allows him to be apprehended anywhere within California, out of state or out of the country," District Attorney Paul Zellerbach told reporters Monday.

The murder charge is accompanied by two "special circumstances," including killing a police officer on duty and firing a weapon from a vehicle.

Dorner was also charged with the attempted murder of three other police officers, including another Riverside officer who was wounded when Crain was killed. That officer, whose name has not been released, is in a lot of pain and faces "many surgeries," Riverside Police Chief Sergio Diaz said.

Dorner is also accused of opening fire on two LAPD police officers, wounding one, in the suburb of Corona.