I ought have some grace, and act embarrassed; sometimes it's good to look, then jump. I see that the "first null" is probably something you read on a meter, and means 3dB point. Is it a ham term?
I know it's usual to calculate far field but I couldn't locate my polar plotting routine, and had to grab a slice from a full-field plot. I didn't want to wait forever so I made the slice as close as I dared to hope might yet give a notion of far-field patterns.
Really astonishing wave fields are predicted to come from very many - say 500 - dipoles , or notional dipoles. I have generated graphs I fear may draw scorn and disbelief, you may generate them for yourself I guess.
I don't have much real experience of the sort I need in radio. I've gained an idea of how one matches a signal to this unfamiliar bearer (I understand information transmission practice very well everywhere but radio) and most of what is in the link is quite obvious to me, but knowledge of aerial impedances is something I do not presently have
I really think I should be up to the challenge of working things out on the hop if I need to, but some days it's like it has been all day for me today - I must have thunk too hard last night working out how to make the rectangular piece of copper into an array, and today thinking about a feeder.
Do you like the feeder?