MILFORD, Conn. -- An Orange police officer is accused of pretending to be his twin brother in order to engage in a sexual encounter with a woman.

Officer Jared Rohrig, of Milford, was arrested Friday in connection with the sexual assault.

Police said a woman told police that she went to meet Rohrig's twin brother, Joe, whom she was in a relationship with. The woman got into a hot tub with Jared Rohrig, thinking it was his brother, police said.

Police said the hot tub activity moved into one of the home's bedrooms, where the two began having sex.

"During the sexual intercourse, she realized the male she was with did not have a tattoo on his left buttocks. The female victim said she immediately began to cry and asked where his tattoo went," according to the arrest affidavit.

The woman said Joe, whom she had been having a sexual relationship with since March 2009, has a tattoo of a cowboy, according to the affidavit.

Police said when the woman tried to leave after realizing Jared Rohrig was not Joe, Jared Rohrig pushed her down onto the bed, covered her face with a pillow and continued having sex.

Rohrig was charged with sexual assault in the first degree and criminal impersonation. His bond was set at $50,000 and he is scheduled to appear in court on Sept. 8.

He was put on paid leave from the Orange Police Department.