Arrival time distribution of optical photon

I have coupled my scintillator detector with PMT. I included all optical property correctly. I am simulating with mono energetic gamma ray .
Now I want to find the arrival time distribution of optical photon to the PMT. I attached PMT as my sensitive detector.
I am getting the time distribution with exponential tail. But How can I be sure that I am getting the arrival time distribution of optical photon?

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