I'm just wondering whether anyone remembers a project published in Popular Electronics way back in the sixties. It was a transistor radio supposedly powered by RF instead of batteries. The RF was supposed to have been received by a crystal detector and converted to DC, which in turn powered the transistors. In effect, it was actually two radio circuits in one package; you tuned the crystal set to a strong AM signal for power, then tuned the transistor radio to your desired station. I suppose there would have had to be a local AM station nearby to supply enough power. Being kind of skeptical, I never built the thing, but maybe someone here remembers the project and even built one.