How to emulate photo diode behaviour
The opamp  is ok. The circuit is not ok. You can burn  the input of your opamp due its current mode nature and low impedance. 100mA photocurrent is not realistic. You will need hundreds of milliwatts light input and that would disintegrate the actual diode.

Find realistic photocurrent limits from the wanted detection requirements. Calculate the series resistor for your pulse gen output from that. 

You really should keep in your mind that pulses this fast require proper transmission lines and matching. Your image ignores all that. This will never work without proper high speed pulse capable circuit design. A good opamp selection is only the beginning.