2-15
If the external load changes, there is a change in the amplitude
or phase of the signal reflected back into the oscillator.  The
portion of that signal which reaches the oscillating loop changes
the oscillation phase, and hence the frequency by
 
where G is the VSWR of the load, and q is the phase angle of the reflected wave; e.g., if Q ~ 106, and isolation ~40 dB
(i.e., ~10-4), then the worst case (100% reflection) pulling is
 ~5 x 10-9.  A VSWR of 2 reduces the maximum pulling by only
a factor of 3.  The problem of load pulling becomes worse at
higher frequencies, because both the Q and the isolation are lower.
Oscillator Instabilities - External Load
F. L. Walls & J. R. Vig, "Fundamental Limits on the Frequency Stabilities of Quartz Crystal Oscillators," IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, vol. 42, pp. 576-589, July 1995.