I don't understand the reason that most RF wireless transmission systems optimized for power transfer are 50-Ω characteristic impedance systems. Can someone explain this for me.
The choose of 50 Ohm originates from the fact that this value was the characteristic impedance of the "optimum (*) coax cable" (with air dielectric) used for early radio transmitters, therefore it was adopted as reference value.
(*)
Optimum in the sense that this value represents a good compromise between max power handling and linear loss requirements.