We have a DO-160 lightning protection circuit https://mobdro.bio/ https://kodi.bio/ https://webhost.kim/bluehost/ for the input pins to the AD8137. We can clamp the voltage at 9V for 300ns. We are operating at +-5V rails. The datasheet abs max is +-6V.
I expect the part will survive the transient. Has there been any analysis of such a condition?
If I got it right, your input voltage can be at 9V while your rails are +/-5V which is also your Absolute Maximum Rating for Input Commode Mode Voltage. A series resistor might be necessary to control the current and to protect your diodes.
Therefore, I suggest that you have series resistor in your input pin.
Your Rs can be defined by: