We have studied the interface between the sponge phase and the lamellar pha
se in different lyotropic systems. Bilayers of the lamellar phase are eithe
r tilted, or tangential to the interface. According to a current model, the
situation depends on the values of the elastic constants. We have investig
ated the cyclohexane/SDS/water/pentanol system in which the elastic constan
ts can be changed by tuning the concentration phi of magnetic particles in
cyclohexane and we have observed a transition between the two types of inte
rface. Finally the magnetic properties have been used to estimate the very
low interface tension.