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The court heard that Ashley Gill-Webb pushed his way to the front of an exclusive seating area at the Olympic stadium.
He started shouting towards Jamaican runner Usain Bolt, "Usain, I want you to lose. Usain, you are bad, you are an a*******", and then threw a plastic beer bottle as the men's 100m final started.
Gill-Webb was later escorted from the stadium and arrested.
Bolt and Yohan Blake, who won gold and silver in the race, said they had been unaware of the incident.
Gill-Webb, who did not give evidence during his trial, originally denied throwing the bottle, but his DNA was found on it.
He later said he could not remember the incident taking place.
The judge sentencing Ashley Gill-Webb said although his behaviour was "serious" enough to demand punishment, he thought Gill-Webb was unlikely to offend again.
Gill-Webb was found guilty of intending to cause the men's Olympic 100m finalists harassment, alarm or distress by using threatening, abusive or disorderly behaviour.
Prosecutor Helen Shaw said the high-profile nature of the incident and the fact that the world was watching were aggravating factors.
The man who threw a plastic beer bottle at competitors at the start of the men's Olympic 100m final was described as being "in the throes of a manic episode" at the time of the incident.
Ashley Gill-Webb, who suffers from bipolar disorder, was today sentenced to an eight-week community order and ordered to pay a £1,500 contribution to costs.
District Judge William Ashworth, sitting at Thames Magistrates' Court, told Gill-Webb, "Your intention was to target the highest-profile event at the London Olympic and put off Usain Bolt".
"You suffer from bipolar disorder. At the time of the offence, you were in the throes of a manic episode. This made you over-confident and your behaviour risky".
"I have reduced your punishment to take account of the effects of your illness", the judge added.
Ashley Gill-Webb, 34, who threw a plastic beer bottle at competitors in the men's Olympic 100m final, has been sentenced at London's Thames Magistrates' Court to an eight-week community order for public disorder.