30 mhz small antenna
Hello Avia
Designing electrically small antennas is a difficult problem and there a a number of compromises that are going to have to be made.
You say you want a 50ohm input impedance. Over what bandwidth do you need to have a good match? If it narrow band then you may be able to come up with a matching network to match your small whip antenna, but it will be lossy, that will help increase the bandwidth.
If the antenna does not have to be a wire then a small loop may be worth considering. Again it will be narrowband and require large tuning components if any significant power is to be used.
I suggests looking at mobile CB antennas ( 27MHz )
or ' magnetic loop' anttennas.
A controversial antenna is the crossfield antenna. It is supposed to work by synthesising the EM wave and can be made very small. Some say they work, others are not so sure that they work the way they are supposed to.
Whatever antenna you choose it will be narrow band and affected by whatever surrounds it. If it is a whip will be affected very significantly by the ground.
If efficiency is not a problem and wide band instantanious match is important then load the antenna with 50 ohms and live with the loss.
Hope that tis helps a little, but as I say small antenna design is difficult, just look at what is squeezed into a cell phone and scale that to 30MHz.
Peter