Local fields in a soft matter bubble

The electric field created by a point dipole located in a dielectric void (“bubble”) is calculated. We consider a continuous profile of the medium permittivity and find that, at large distances, the effective dipole field depends on the model chosen for the bubble walls, in particular their thickness. A boundary layer model is analyzed that gives good agreement with numerical calculations. Our results shed light on the local field correction that has attracted lot of interest lately.