The invention features a method including: (i) providing an interference
signal S(t) from two beams 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 one or more coefficients representative of one or
more errors that cause the signal S(t) to deviate from an ideal
expression of the form A.sub.1 cos(.omega..sub.Rt+.phi.(t)+.zeta..sub.1),
where A.sub.1 and .zeta..sub.1 are constants, .omega..sub.R is an angular
frequency difference between the two beams before being directed along
the different paths, and .phi.(t)=nk{tilde over (L)}(t), with
k=2.pi./.lamda. and .lamda. equal to a wavelength for the beams; (iii)
calculating a linear combination of values of the signal S(t); and (iv)
reducing the effect of the deviation of S(t) from the ideal expression on
an estimate of {tilde over (L)}(t) using an error signal generated from
the coefficients and one or more error basis functions derived at least
in part from the linear combination of values of the signal S(t).