Several photodetector applications require optimizing pulse response at moderate bandwidths. With current technology, such detector circuits can be op-amp based transimpedance amplifiers. Unfortunately, the usual transimpedance topology, having a single feedback resistor, does not give enough control over pole placement for design optimization. If the single resistor is replaced by a tee-network, however, the transimpedance amplifier can be made to approximate any desired second-order network response. We present an analysis that shows how to choose resistor values to achieve desired second-order parameters: damped natural frequency and damping coefficient. Experimental results are presented that confirm the validity of our design method.