  When dealing with highly accurate modeling of time and frequency transfers
into arbitrarily moving dielectrics medium, it may be convenient to work with
Gordon's optical spacetime metric rather than the usual physical spacetime
metric. Additionally, an accurate modeling of the geodesic evolution of
observable quantities (e.g., the range and the Doppler) requires us to know the
reception or the emission time transfer functions. In the physical spacetime,
these functions can be derived to any post-Minkowskian orders through a
recursive procedure. In this work, we show that the time transfer functions can
be determined to any order in Gordon's optical spacetime as well. The exact
integral forms of the gravitational, the refractive, and the coupling
contributions are recursively derived. The expression of the time transfer
function is given within the post-linear approximation assuming a stationary
optical spacetime covered with geocentric celestial reference system
coordinates. The light-dragging effect due to the steady rotation of the
neutral atmosphere of the Earth is found to be at the threshold of visibility
in many experiments involving accurate modeling of the time and frequency
transfers.
