N.H. Rev. Stat. Ann. § 458-E:5

Upon motion of a deploying parent, provided reasonable advance notice is given and good cause shown, the court shall allow such parent to present testimony and evidence by electronic means with respect to parental rights and responsibilities or parent-child contact matters instituted under this section when the deployment of that parent has a material effect on his or her ability to appear in person at a regularly scheduled hearing. In this section, "electronic means" includes communication by telephone or video teleconference.