Round-trip gain
Round-trip gain refers to the laser physics, and laser cavities (or laser resonators). It is gain, integrated along a ray, which makes a round-trip in the cavity.
At the continuous-wave operation, the round-trip gain exactly compensates both the output coupling of the cavity and its background loss.
Round-trip gain in geometric optics
Generally, the Round-trip gain may depend on the frequency, on the position and tilt of the ray, and even on the polarization of light. Usually, we may assume that at some moment of time, at reasonable frequency of operation, the gain
is function of the Cartesian coordinates
,
, and
. Then, assuming that the geometrical optics is applicable the round-trip gain
can be expressed as follows:
where
is path along the ray, parametrized with functions
,
,
; the integration is performed along the whole ray, which is supposed to form the closed loop.
In simple models, the flat-top distribution of pump and gain
is assumed to be constant. In the case of simplest cavity, the round-trip gain
, where
is length of the cavity; the laser light is supposed to go forward and back, this leads to the coefficient 2 in the estimate.