Earlier quoted context omitted.
This is a tangent, but could you point me towards delay line + amplifier literature? Would be much appreciated.
That's how the very first computers worked: https://www.computerhistory.org/storageengine/edsac-computer... Not optical, but piezo electrical, usually with a crystal or air as the medium instead of mercury. Optical is much the same principle, a feedback loop incorporating the delay line, so the same bits get re-injected over and over again and can only be read out at specific points in time.
Like most things, the concept is much simpler than making one work — and I was hoping I could find some papers on the applied side of photon delay lines. (Since OP commented it was related to his/her PhD.)