Depends on the exact type of antenna engineering and what you expect of them.
If it is a recent graduate, I usually assume they know little of actual useful knowledge, and their education mostly provided them with the tools to learn and understand quickly (this ofcourse does depend on where you are, around here you don't have any antenna or RF focused educational programs, all are general electrical engineering with at best a focus on analog versus digital versus embedded).
So I would usually ask questions that I don't expect them to know the answer to, but instead can help them work towards an answer so I can see their process of reasoning, in this case focused on fields and RF stuff. Maybe something like
"You have an ideal, infinitely long transmission line of impedance Z0. At the end of the tranmission line you have a voltage dependent voltage source. You can place any passive network you want between the transmission line and the voltage source. What network will provide the highest output power from the VDVS?" Once they answer that, add conditions: "How does your answer change if the transmission line is of finite length? Are there any lengths that require extra attention? How does that answer change if the transmission line has loss? Does this new answer depend on how much loss it has?" etc etc.
In a lot of cases I'd rather have someone who can't (immediatly) tell me the right answer, but is clearly able to see the boundary conditions, sees how there might be tradeoffs, reason their way towards an answer, than someone who can just say 'the best solution is x'
Also maybe ask them a bit about fields. Draw a patch, ask them to scetch field distributions. Where is max votage/max current/what does this depend on.