ZapperZ said:
If I have a light source with enough power to heat something
Making the externally heated cathode tube cumbersome and technologically challenged.
An indirectly heated cathode could be considered as being heated by a "light source", although here the filament is internal to the vacuum tube and heats the 360 degree surrounding cathode via radiation. With an external radiation heat source, the glass envelope of the tube and its melting becomes another limiting factor.
As said, more power has to be provided to an external heat source due to the fact of how radiation works - one has two extreme choices ( or a configuration in between ) to heat the internal cathode:
1. the external heat source has to surround the internal cathode, in which case radiation is also emitted outwards, so we are losing at 50% of it to the ambient, which as to be taken care of someway, or
2. the external heat source is a directed beam of radiation to the internal cathode.
In the first case, the air will be heated by the external source, and if close to the glass envelope, will affect the conductively heated envelope's integrity, We may need a second cooling system for the glass envelope. We could move the external heat source farther away, with more outwards radiation from a larger surface area heating the ambient surroundings.
In the second case, ( a possibly for the first also ), the beam has to have radiation removed that is not glass transparent ( wording ? ) for the glass to be not spot heated. In which case, we lose some of the external energy.
While sunlight could be considered free, using it to heat the cathode of a tube, presents a heat problem and removal of its own, IMO.