Sgt Danny Nightingale said outside court after being released: "Thank you to the world for being so kind".
His wife Sally said she was "very, very happy" and that she had "fought for this and got justice today".
More top news
An internet troll who told a Jewish Labour MP she would "get it like Jo Cox" is facing jail for a second time.
Detectives investigating the attempted abduction of an RAF serviceman at Marham have released e-fit images of the suspects.
The National Trust has published a list of 50 things for children to do before they turn 11 and three-quarters, such as climbing a tree.