The invention features a method including: (i) providing an interference signal
S(t) from two beams derived from a common source and directed along different paths,
wherein the signal S(t) is indicative of changes in an optical path difference
n{tilde over (L)}(t) between the different paths, where n is an average refractive
index along the different paths, {tilde over (L)}(t) is a total physical path difference
between the different paths, and t is time; (ii) providing coefficients representative
of one or more errors that cause the signal S(t) to deviate from an ideal expression
of the form A1 cos(Rt+(t)+1),
where A1 and 1 are constants, R is
an angular frequency difference between the two beams, and (t)=nk{tilde
over (L)}(t), with k=2/ and equal to a wavelength for the
beams; (iii) calculating a quadrature signal {tilde over (S)}(t) based on the signal
S(t); and (iv) reducing the deviation of S(t) from the ideal expression using an
error signal S(t) generated from the coefficients and error basis
functions derived from the signals S(t) and {tilde over (S)}(t).