Create a transparent resistive heater out of nanomaterials or a nanomaterial composite (i.e TCO's, ag/cu nanowire, graphene, carbon nanotubes) that can be deposited onto a cylindrical quartz substrate with a diameter of 24mm or deposited onto sheets of corning's willow glass as an alternative substrate. (I understand that nanomaterial deposition is usually performed on a flat substrate). Heating performance is much more important than optical transparency. The surface to be heated is 15 square cm, a very small area, but must operate between 460-680 degrees farenheit, much hotter than existing transparent resistive heaters.
This heater has to be able to be powered by a small lightweight lithium battery, preferably weighing less than 500 grams. The voltage and current output of such a small power source may be a limitation, and alternatives can be discussed if it is determined that more power is needed to reach the operating temperature.