The development of all-optical fibre-sensors for monitoring a wide range of physical parameters is currently of considerably interest. It is attractive to consider an optical measurement of temperature, pressure, strain and vibration at a remote location situated in a hazardous environment or which suffers from severe electrical interference. In many cases it is desirable to determine the spatial distribution of the sensed quantity. For example, in certain applications it is necessary to monitor the variation of temperature within a machine, pipe or oven, or within a reservoir