In a perfectly efficient radar, how does intensity behave as area increases?

In a perfectly efficient radar, the intensity of the radar signal will decrease as the area of detection increases. This behavior is rooted in the principles of radar and wave propagation.

Specifically, radar relies on the transmission of electromagnetic waves that spread out as they propagate through space. When the area of detection increases, the same amount of power (energy output) from the radar is distributed over a larger surface area. As a result, the intensity, which is defined as power per unit area, decreases.

This phenomenon can be understood through the inverse square law, which indicates that the intensity of a wave decreases with the square of the distance from the source. In the context of radar, as the area of interest expands, the radar's signal strength diminishes proportionally because the energy is spread more thinly across that larger area. Thus, in a perfectly efficient radar system, an increase in the area leads to a decrease in intensity.