Every one of us at one time or another has either asked or attempted to understand the science of antennas on handheld radios. This video, by a well known ham radio antenna manufacturer, simulates a quarter wave antenna, held at ear ? height and illustrates the gain. It’s a short video and doesn’t go nearly far enough, but it’s interesting and could be a starting point for more in-depth conversation.
The simulation software Callum uses is freely available here: http://gal-ana.de/basicmm/en/#180
And here is a video tutorial for how to use the simulator program:
Finally, here’s the video on small antennas: