Scanning probe thermal microscopy has been used to achieve sub-surface
imaging of metallic particles embedded in a polymer matrix, using a p
robe which can act as both ohmic heater and thermometer. A lateral res
olution of the order of a micron and a depth detection of a few micron
s were achieved. Together with the description of the technique and th
e experimental results obtained, a basic theoretical framework is pres
ented which describes heat flow and temperature distributions within a
sample consisting of inclusions buried within a bulk material. Comput
er models have been developed to give theoretical heat flows and tempe
rature profiles: these are compared here with the experimental data. T
he theoretical lateral resolution was found to be in good agreement wi
th the experimental observation. We show that theoretical modelling ca
n be used to calibrate the instrument for specific investigations. For
example, the technique could be used quantitatively to determine and
map thermal conductivity variations across heterogeneous samples, or t
o determine the depth at which inclusions are located in the case wher
e the thermal conductivities of both the inclusions and the enclosing
material are known as well as the geometry of the inclusions.