Wrongly accused of domestic assault

I was hit by my husband and called the police. I was obviously upset and crying when they arrived and he was calm and cool after getting his aggression out. I was floored when I was the one arrested. I later found out that he lied to the police about what happened and on his written statement. I tried to show the police medical documentation about him to support everything I was saying and would have refuted everything he said. They refused. The charges were non prosed, but I am psychologically damaged by this experience. Do I have any recourse against anyone? I am very angry and bitter about the experience and am divorcing my husband because of this. I am seeking counseling, but I think that there should be some thing I can do. Please help..