This homotopic method is an approximate analysis method, which can be more used for analyzing other behavior of the sea surface temperature anomaly of the atmosphere-ocean oscillator model.
In the middle is a frequency and phase comparator that outputs a signal equal to the difference between the crystal and the voltage-controlled oscillator.
Although a key difference here is that the frequency of that external force in general has nothing to do with the resonant frequency of that little oscillator.
Therefore, to stabilize the output frequency of a ring oscillator to less than a few parts per million accuracy we use a circuit called a phase-locked loop.
Next, an integrator takes the output from the phase comparator and turns it into a steady voltage and uses it to drive the voltage-controlled ring oscillator.
Caesium beam frequency standard, external oscillator generates a microwave frequency and induce those atoms to go into resonance, oscillating at that frequency for equal flux of atoms in the two hyperfine states.
And to build a little intuition, take a moment to think about what would happen if the frequency of the incoming light was something very close to the resonant frequency of this oscillator.
Now that we've covered the gear train, let's dive into the quartz crystal oscillator and see what makes this clock nearly identical to the digital clock in your computer.
One thing to note is that sometimes MEMS oscillators are used in smartphones to save space instead of crystal oscillators, and we'll dive into MEMS in a future episode.