The proposed scheme is designed to synchronize with the camera, and remote ignition. All items are placed inside the housing of industrial flash and under photoresistor R4 drilled hole. Items can be placed on a homemade Board.

Most of the details taken directly from the flash (R1, R2, VD1, VD2, C1, T1, N1, C2, R6, D2).
Photoresistor R4 brand FSK-2, indicated in the diagram, can be replaced by another. In this case, may have to pick up the resistance of the resistor R5 to clear the ash.
The capacitance of the capacitor 1 may be in the range of 0.1…0.5 UF, and typically, this capacitor is in all outbreaks. The capacitance C2 depends on the power N-1.
N2 - the ready indicator flashes.
If you want to keep sync, it is connected parallel to the thyristor VS1. In this case, the "eye" of the photoresistor is desirable to seal the piece of tape to eliminate accidental triggering of the flashes from the other light sources.
Author: L. Gutnik, Sumy; Publication: N. Bolshakov, rf.atnn.ru