From Wikipedia I read that non-ionizing radiation "does not carry enough energy per quantum (photon energy) to ionize atoms or molecules". https://en.wikipedia.org/wiki/Non-ionizing_radiation#Health_risks
From this I understand that a single photon from said non-ionizing radiation does not have enough energy to cause ionization (an electron to be removed from an atom). Isn't it possible for multiple photons (originating from the radiation source which does not have enough energy per single photon to ionize an atom with the energy of a single photon) to hit an atom (to be more specific to hit a single electron) in such short succession that the combined energy of all those photons causes ionization (when 'combined energy of photons' is greater than the ionization energy of said atom)?
According to this forum post, I quote:
Photons don't have amplitude. All photons of equal frequency have the same energy. Electromagnetic waves with different amplitudes basically consist of different numbers of photons, which is why their energies can depend on amplitude.
So if I understand correctly a wave with the same wavelength and different amplitude has more photons per second being emitted? If so, if we take for example a microwave and increase the amplitude infinitely the probability of enough photons origination from the microwave's radiation source hitting an electron enough times per second in order to ionize it would increase with the amplitude. Would it still (when the number of photons emitted per second increased toward infinity) not be possible for this radiation to cause ionization?
For a real world comparison: let's say the atom being hit with the radiation is a pinata and the photons of the radiation are children hitting the pinata. If a single child doesn't have enough force/energy to destroy the pinata in 1 hit, then the pinata could still be destroyed by a few of the children each hitting the pinata once. If increasing the amplitude translates to more children hitting the pinata in total, wouldn't increasing the amplitude of the microwave radiation result in a higher probability of ionization and eventually result in ionization from this microwave radiation?
I'm clearly misunderstanding some of the core concepts. What am I missing / what about my comparison is wrong?