How I can create two closely coupled resonances in antenna element?

[AndreyG]

I have antenna electrode, in a shape of planar resonant loop or call it folded dipole, which I need to broadband. I try cutting it along the length and make it into two electrodes side-by-side, inner loop and outer loop. I was hoping because one electrode will be longer then another and it’s resonant frequency will be slightly higher, I will end up with two closely coupled resonances and bandwidth of the structure will increase. So far I can not make this happen.

Any suggestions how to do it will be helpful.

(note: overall electrode geometry must stay the same. When I cut it along the middle line of the electrode both loops connected to the same pair of terminals.)