  By the application of an in-plane magnetic field, we demonstrate control of
the fine structure polarisation splitting of the exciton emission lines in
individual InAs quantum dots. The selection of quantum dots with certain
barrier composition and confinement energies is found to determine the magnetic
field dependent increase or decrease of the separation of the bright exciton
emission lines, and has enabled the splitting to be tuned to zero within the
resolution of our experiments. Observed behaviour allows us to determine
g-factors and exchange splittings for different types of dots.
