Sci-fi inspired antenna adjusts to signal needs
spectrum.ieee.org
spectrum.ieee.org
After that it's just a standard computational problem which is (IMO) far less interesting.
Ps maybe that's what you meant too
1. antennas must withstand major changes of ambient temperatures, direct sunlight, humidity and many other factors. How would one maintain nitinol in desired shape? Which prompts the next question:
2. how does it maintain efficiency? the heating needs energy, so antenna won't be passive - okay. But motorized lifting mechanism that only draws power when change of shape is happening might be a better idea.