Design of wireless charging system with antennas

Job ID: 33735118

Budget: $250 – $750 USD

I need to design a wireless battery charging like one of those show in attached pictures.
In 1-2 pictures you see planar antenna for wireless power transmission and cylindrical antenna in the receiver section: this is the first possible solution.
Second solution (3-4 picture) is to have both cylindrical antennas to have this charging system, anyway the antenna in RX section has to be cyclindrical for mechanical reasons.
The RX antenna has maximum lenght of 40mm and inner diameter of 22mm.
I need to have a charging minimum current of 1A.
Distance between two antennas is about 3mm and there is nylon PA12 between them.
In TX section we have not particular constraints in the shape of antenna, you can design rectangular plane antenna too.
We have 5Vdc 3A current in TX section.
I need to have design of both antennas with diameter of wire, number of turns, and everithing needed to build them.
I need to define main electronic components to control these antennas using components available at main distributors.