But given equally resonant antennas, the longer one will pick up proportionately more signal. If the antenna's electrical length is 3.4" and its physical length is 1", it's picking up about 30% of the signal a full-length antenna would.
I got to thinking last night about the length of the Unication antenna. How do we know the element is only 1" long? That is just the length of the case. The element could be 3.4" or so in a coil which would make it a physical 1/4 wavelength antenna at 812 MHz. Maybe that explains its good performance (in addition to the radio itself being a well designed receiver.) Maybe it is a fractal antenna I'm sure it is nothing exotic though since it is only $14.95 bought on its own. Wish I still had access to an x-ray machine. And my specialty was not antenna engineering during my career. I did learn from the guys and gals in our antenna lab though that antenna engineering has a certain amount of black magic to it. Any antenna engineers here?