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Is there a decent rule of thumb about how this style of antenna scales with frequency?

I'd kinda like something like this that could do 2.4GHz, 850-950MHz and even down as low as 400MHz.

Would by uneducated guess that 2.4GHz antennas would be twice the size, 900MHz about 6 times the size, and 400MHz about 10 times the size?

My feel would be that 2.4 has the advantage of being much longer range and there are plenty of sources for 2.4 - if you wanted to look at back-scatter and not just sources of emission. The primary demo of this piece of equipment is looking at radiation sources, but as you guys show there are plenty of other possible applications. I feel like since 2.4Ghz stuff has been around for ages.. the stuff should be much cheaper? Just a guess though :) Would be curious to know what the reality looks like

And cool to see you guys are from Santa Barbara. Lots of relevant talent there :)

If you ever want to go into the KHz range, you could build a ship-scale platform to carry the antennas :D