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THS3491: 1PPS [0-10V] 50 ohms Driver

Part Number: THS3491

Hello,

I need to design a 1PPS driver with rising edges <50ns and driving a 10V voltage through a 50ohms adapter (the total supply is therefore 20V due to the bridge divider) :

I was able to simulate the circuit (see attached) and it works well. But, I find a phenomenon that I can't explain. The amp's output starts to increase in the absence of input voltage :

I'm afraid it's a saturation problem and not an artifact. However, the 0V voltage is quite far from the supply rail voltage for -5V. Do you have any ideas/suggestions about saturation voltages and supply rails?