The sun is more powerful than any terrestrial object, at all wavelengths.
Actually, this can't ever work very well, if it's a passive surface thing, not reflectors.
The spectrum at the surface has notches due to atmospheric absorbance. Which means beaming waves up into those bands, can only get you to the temperature of that atmospheric layer.
That might still be a net gain over conventional methods, but it's no radiation-to-free-space.
It's worth emphasizing this property of black body radiation, because it's often poorly shown in textbooks. When the temperature rises, the output rises unconditionally, in all bands. It rises the most near the peak wavelength, but all other bands (up to the cutoff) rise as well. Indeed, the sun is extremely intense, anomalously so, at certain wavelengths: in the shortwave band, the corona has an apparent temperature of millions of degrees. This is one way we know the energy of its particles, indeed the first way (historically), because of the simplicity of this measurement and the extreme power output (nearly millivolts (IIRC) on a not-very-high gain antenna pointed at the sun).
Tim