the saturation coil works by using a DC control current to push what is basically an inductor into saturation--meaning it can't carry any more of a magnetic field--so the effective inductance decreases. since inductance is kinda like an AC resistance, this allows the main drive current to flow through it.
the next problem was to *modulate* the signal with morse code.
for that, Alexanderson used another saturation coil (mag amp). this one *detunes* the giant transformer that collects the current from all the pole windings and matches the impedance to the antenna array. turning off the key causes the frequency to shift enough to reduce the output power by over 90%.