Reflection coefficient VS frequency

cableselectromagnetismradarwavewaveguide

I was trying to look for the answer of what I think it should be quite a simple question but I haven't found any nice answer (at least any that has convinced me).
Here it is:

Through a cable (reflectometry) or even a in a RADAR, in order to detect small defects/objects, you usually use high frequencies, because the resolution will be better; my questions is why? I have always assumed instinctively that the object must be bigger than the wavelength in order to be detected but I would like to know why… Does the reflection coefficient get bigger with frequency? Is the reflected energy the same but as the reflected pulse would be wider with low frequencies, it is just more difficult to detect?

Best Answer

Small objects (small in comparison with wavelength) diffract the wave around them, rather than reflect the wave back, they are effectively invisible (unresolved). By decreasing the wavelength (increasing frequency) the objects diffract less of the waves energy and reflect more of it making them detectable.

Sharp edges, small holes etc. do the same. By decreasing the wavelength this enables such features to be resolved.