In this paper we present a derivation of the rotational line strengths
involved in fully resonant degenerate four wave mixing processes (DFW
M). General expressions are gi ven for diatomic molecules with differe
nt Hund's coupling cases. More precisely, we tabulated the rotational
line strengths for the electronic transition 2SIGMA+-2PI of OH and NO.
For the ground state, Hund's cases (b), (a) and the intermediate case
(a-b) are considered. We also stress the dependence of the line stren
gths with respect to the geometry and to the polarization of the incid
ent beams. So, we consider the optical phase conjugation (OPC) geometr
y and the forward (FDFWM) one. We also give expressions for the line s
trengths in different polarization arrangements, i.e. parallel or cros
sed polarized beams. A comparison is made between these cases. Finally
, theoretical simulations, using our line strengths calculations, are
compared with experimental spectra of OH obtained in a methane air fla
me using OPC and FDFWM.