Some people say that the wave function of the photon is the electromagnetic wave; other explain that it cannot be, but they are unable to propose a true psi wave. What is your choice ?

Mine is that the probability to detect a quantum of energy is proportional to the square of the electric field in the mode that the receiver is able to amplify. As the fields in a mode depend only on a real coefficient (the amplitude), the field necesssarily includes the stochastic field (zero point field at 0K). As the electromagnetic field is linear in the vacuum, it does not have any singular point able to be considered as a particle. (with non-linear equations, there are solitons)

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JMB