Olsen shot and killed Anthony Hill in March 2015, who was naked and unarmed, at a DeKalb County apartment complex.
Olsen was found guilty of aggravated assault, violation of oath and making a false statement.
What has been at the center of the trial is if Olsen had a reasonable fear for his safety when he shot Hill.
Hill, who had stopped taking medication for his mental illness, stripped naked outside his Chamblee apartment complex. Olsen arrived at the scene around 1 p.m., responding to three 911 calls from the manager of the complex.
Hill's mother was wiping away tears as Olsen was found not guilty of murder.
Olsen's wife left the courtroom screaming "no!" and crying during the sentencing.
The state wanted Olsen to go to jail, stating he's a convicted felon, so they held a hearing for his bond, calling Hill’s mother to the stand.
“It's been four years waiting my son isn't here and he's been out. It's time now,” Hill’s mother said.
WSB-TV spoke to a juror who was one of five jurors holding out for felony murder verdict. He didn't want his face shown, but said he had to compromise because he didn't want a hung jury.
"[Charges] One and two are what I wanted so when I thought another jury get selected got another teammate to agree with me to do just three through six," the juror said.
The verdict came after 27 hours of deliberations and the district attorney was pleased with their job.
“I respect this jury and I'm glad they deliberated thoughtfully and came to decision they thought best,” said District Attorney Sherry Boston.
Olsen will be sentenced Nov. 1.
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