This badge depicts the autonomous mobile holo-emitter unit worn by the USS Voyager's Emergency Medical Hologram. You will of course need to source the pins and caps.
If you don't have a 3D printer but you'd really like one of these please send me a DM and we can arrange for me to produce one for you, or check out my Numonday store:
www.numonday.com/shop/enterprise-xd-design