I don't know Syhprum. you can look at it your way. But I prefer to think of it as a energy, equivalent to a frequency if over larger timescales, assuming a 'stream' of particles.

To me the photon does not have a frequency. It has a energy, but that energy can through Einstein explanation of the photoelectric effect, via Planck's constant 'h', (E=hf) be presented as that 'e'nergy of a photon is proportional to a waves 'f'requency. So there is a equivalence through that. And equivalences and symmetries are important phenomena in SpaceTime, but intensity and amplitude doesn't apply to a single photon at all. If you look at Maxwell's equations light becomes a electromagnetic radiation consisting of oscillations (waves) in the electric and magnetic fields, 'perpendicular' (at a right angle) to each other. Waves describe polarization, refraction, interference (quenching and reinforcing itself, via two waves interfering) etc, but they do not tell you about photons. And that's where 'equivalences' becomes important. And so this, to me that is, is all about trying to find a common ground for the concept of photon fitting the concept of waves. This is a good description of that.

"The frequency of the oscillations in a beam of light is proportional to the energy in each photon, as demonstrated by the photoelectric effect, and in the case of light is related to the color of the light. The intensity of the beam is proportional to the number of photons. The polarization of light (that is explained by Maxwell) is related to the quantum-mechanical concept of spin. You can see the photon as a little top spinning around an axis that coincides with the direction of propagation. But while in classical mechanics an object can spin only in one direction at a time, in quantum mechanics you have the paradoxical and counter-intuitive fact that an object can spin lets say clockwise and counterclockwise at the same time.

It is like having two "realities" existing at the same time. It takes a while to get used to this new idea and to accept it. A photon spinning in one direction corresponds to a rotating electric field, and to what is called circular polarization. A photon that spins in both directions at the same time gives you, under the right circumstances, plane polarization, which means the electric field is oriented always in the same direction."