Bayern Munich chairman Karl-Heinz Rummenigge has recommended referee Peter Gagelmann visits an optician after failing to award the Bavarians two penalties in Tuesday's German Cup semi-final defeat to Borussia Dortmund.

"He did his best. When 75,000 people see something which he doesn't, then I can only recommend he sees an optician," said Rummenigge, who is likely to fall foul of the German Football Association (DFB) for his comments.

"We were playing against 12 men, but there's not much point giving the referee a hard time. We're out anyway."

Gagelmann, 46, from Bremen admitted he missed a clear handball in the area by Dortmund defender Marcel Schmelzer on 55 minutes.

Bayern were leading 1-0 at the time thanks to Robert Lewandowski's first-half goal.

After Gagelmann waved away Bayern's furious demands for a penalty at the Allianz Arena, Borussia equalised on 75 minutes through Pierre-Emerick Aubameyang to make it 1-1 and take the game to extra-time.

Neither side managed to add to the score and Bayern then failed to convert all four spot kicks as Dortmund won 2-0 on penalties.

But Gagelmann has admitted he was wrong not to award Bayern a second-half penalty for Schmelzer's handball.

"I have to say that it was the wrong decision not to blow the whistle for the foul," he said. "I am very sorry, it's really annoying."

Gagelmann declined to comment on the 117th-minute collision between Dortmund's goalkeeper Mitchell Langerak and Robert Lewandowski in the area.

Contact was made as Borussia's shot-stopper went to punch the ball away, but the Bayern striker was left concussed with a broken cheekbone and nose.

Bayern's cup final defeat ends their hopes of repeating their 2013 feat of winning the European, league and cup titles, having clinched the Bundesliga title with four matches to spare at the weekend.

The Bavarian giants play Barcelona away next Wednesday in the semi-final, first leg of the Champions League.