An optical instrument includes a controller and a field head arranged for measuring the refractive index of a medium, or a derivable quantity therefrom. The field head includes a measurement prism having a medium-boundary surface, a first wave guide for providing broad-band light from a broad band light source, a dispersive element for dispersing the broad-band light into at least one component light beam of plural component light beams, so that each incident component light beam has a differently directed propagation path and at least one different wave length, and a condenser for collecting at least one component light beam reflected at the medium-boundary surface into a second wave guide. The dispersive element is arranged to direct at least one component light beam into a critical angle of total reflection from the boundary surface, and at least other light beam component into an angle leading into the condenser arranged to collect at least one other component light beam to be passed to a spectrometer. The controller of a field head includes a light source for providing poly-chromatic light into a first wave guide for forming a plurality of component light beams to propagate in the field head and a spectrometer for spectrum analysis of light inputted via at least one input wave guide from the field head.