Carlyle signs one-year extension with the Ducks

The Ducks announced a one-year contract extension for Coach Randy Carlyle on Wednesday as a reward for the team’s improvement over his two seasons that culminated last week in the franchise’s first Stanley Cup title.

Carlyle, 51, had one year remaining on the three-year deal he signed when he became coach on Aug. 1, 2005. Along with the championship, the Ducks have recorded back-to-back record regular seasons and are 91-47-26 during his tenure.

“I think Randy has done a marvelous job,” General Manager Brian Burke said.

Carlyle is now signed through the 2008-09 season along with Burke. They agreed to an extension at the NHL All-Star break but Carlyle, on Wednesday, said he postponed the announcement because he didn’t want to be a distraction.

“I think it’s always important that we didn’t stray away from the task at hand,” Carlyle said from his vacation home near Rockville, Canada. “Both sides were happy with what would transpire.”

Burke said the two didn’t negotiate a longer deal so that both of their contracts would come up for renewal at the same time, adding that he has not discussed his current contract with owners Henry and Susan Samueli.

“I don’t think the general manager has the right to extend the coach beyond his own tenure,” Burke said. “If they decided they want to make a change, the new guy shouldn’t be stuck with Randy Carlyle.”

Carlyle said the last seven days have been a “whirlwind” and that he planned to relax this week before focusing on next week’s NHL entry draft.

In the team’s exit meetings on Sunday, Carlyle said he told the players to enjoy their accomplishment but reminded them not to shirk their off-season responsibilities before training camp begins Sept. 10.

“Other teams have suffered and we don’t want to put ourselves in that situation,” he said.

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The infant son of Ducks goalie Jean-Sebastien Giguere and his wife, Kristen, underwent successful surgery Tuesday at UCLA’s Jules Stein Eye Institute to correct his deformed right eye.

“The surgery went extremely well and early signs are hopeful for a positive outcome,” said Dr. Steven Schwartz, who performed the surgery. Maxime Giguere was born on April 4 with a condition called persistent fetal vasculature syndrome or a tiny, deformed eye.

eric.stephens@latimes.com