If the power supply voltage is high, say >=3V, it is pretty simple to design an oscillator (of unimportant output frequency and shape), which can be powered from an AC power source: just add a diode bridge at the power input lines and use any suitable DC-powered oscillator circuit. But what if the supply voltage is really low, say 0.2V? JFET-based oscillators can go really low, allegedly down to 25mV, so it should be possible to pair two of them anti-paralelly and power them directly from AC. However, the JFET structure exhibits a high degree of symmetry, i.e. the D and S pins are called so by convention and the device can work in "inversion mode". Is it possible to use this fact to build an AC-powered oscillator with a single JFET?
Best regards, Piotr