I'll probaly get knocked on the head for this but what is the purpose for Wonder Woman's invisible jet, and for that matter if it's invisible how can she see the instrument panel when flying?...sorry but watching the old SuperFriends cartoon sort of brought this on.
Simple answer because (1941)Wonder Woman originally could not fly, or even soar on air currents.
She (like original Superman) could just jump far.
So to get her from place to place, she had an invisible plane.
As to how it worked the Amazons were depicted as having a sort of advance engineering and science/mystical hybrid. The plane and other gear were both magical and science.
More than straight science the plane could be and was compared to a
mystical flying horse , or even a ray of light at times, which she could ride and communicate with (answered to her voice) .
By 1958, 17 years after her debut it was hinted she could sometimes ride air currents, but that was still not the norm, the plane was still well established as her main and iconic mode of transport, and was still in the comics by the time SuperFriends(1973) and the WW TV show(1975) debuted.
She didn't actually receive the ability fly until 46 years after her and her plane debuted, until after Crisis of Infinite Earths when they retconed her origin and powers to fly - in (1987) Wonder Woman Vol.2