electromagnetic waves generated by our sun are due to
a continuous process within our sun so the electromagnetic
wave produced by this process must also be continuous.
Unfortunately your basic premise is wrong. Electromagnetic waves are generated in the sun by the transition of electrons from one state to another. The process is not continuous. One photon is generated for each transition from a higher state to a lower one. The wavelength of each photon is determined by the difference in energy between the higher state and the lower one. There is no continuous source of photons, other than the fact that the Sun creates photons one at a time at such short intervals that there appears to be a continuous creation.
In fact it could be kind of like a ditch digger who works continuously to dig a ditch, but he still does it one shovel full at a time. The Sun has a lot of ditch diggers digging photons one at a time.
Note that this is an extreme simplification. The total process by which the photon is created is very complex, but this, I think, clearly defines the last step in the creation of the photon before it leaves the Sun.
Bill Gill
