We develop new optical methods using transmitted polarized light for t
he characterization of the out of plane component n(z) of the director
field in a weakly distorted planar nematic layer. In extraordinary li
ght, we relate the angles of aperture of the caustic surface to the lo
cal amplitudes of the n(z) distortion. In ordinary light, a new type o
f contrast due to the anisotropic light scattering is shown to give th
e map of n(z)(2). We apply our methods to the study of the director di
stortions occuring in the thermal convection.