(k) Any person who commits an act of sodomy, where the act is accomplished against the victim's will by threatening to use the authority of a public official to incarcerate, arrest, or deport the victim or another, and the victim has a reasonable belief that the perpetrator is a public official, shall be punished by imprisonment in the state prison for three, six, or eight years. As used in this subdivision, "public official" means a person employed by a governmental agency who has the authority, as part of that position, to incarcerate, arrest, or deport another. The perpetrator does not actually have to be a public official.