N.H. Rev. Stat. Ann. § 330-D:5

Active duty military personnel, or their spouse, shall designate a home state where the individual has a current license in good standing. The individual may retain the home state designation during the period the service member is on active duty. Subsequent to designating a home state, the individual shall only change their home state through application for licensure in the new state, or through the process outlined in RSA 330-D:4.