No. The "wave function" is only tangentially related to the concept of whether light acts like a wave, a particle, or has some kind of duality. It is tangentially related only because as you dig into the quantum mechanical nature of the universe, you end up with this statistical function that we happen to use the word "wave" in its name.
Wow. In the words of Pauli, that is not even wrong.
First off, the wavefunction is not a statistical function. And "wavefunction" includes that "wave" word for a very good reason. You are, I suspect, perfectly capable of reading an introductory quantum mechanics text. You just have chosen not to and yet feel the need to spout nonsense as if you were an expert.
Neither the two-slit experiment nor the three-polarizing filters experiment show anything particularly quantum mechanical. Both would work just fine if light were a pure wave.
Umm.... isn't that what quantum mechanics is about? That everything can be described by a wavefunction (i.e. as a "pure wave?") Even if it weren't so, the three-polarizer experiment is an excellent demonstration of the counterintuitive properties of projections, which is key to understanding QM.
If a thing's worth having, it's worth cheating for. -- W.C. Fields