Final answer:
Without complete details about the voltage change across the bolometer or other relevant information about the specific characteristics of the pulse and circuit, it is not possible to precisely calculate the peak incident power in the given communication radar system.
Step-by-step explanation:
To calculate the peak incident power at the input of the directional coupler in a communication radar system, one must use the data provided about the high power pulse, repetition frequency, the duration of each pulse, and the parameters of the directional coupler and measurement devices. However, there is insufficient information in the question to provide an exact numerical answer, as the question lacks certain details such as the voltage change across the bolometer which would allow for the calculation of the incident power using the square law behavior of the bolometer for microwave power measurements.