Yn. Kulchin et al., TOMOGRAPHY METHODS FOR VECTOR FIELD-STUDY USING SPACE-DISTRIBUTED FIBER OPTIC SENSORS WITH INTEGRAL SENSITIVITY, Fiber and integrated optics, 17(1), 1998, pp. 75-84
The problem of tomographic reconstruction of vector physical fields is
studied This problem can be solved by using fiber optic measuring lin
es (MLs) of special shape. In the case that the ML output signal is pr
oportional to the vector's projection, the ML must be shaped like a na
rrow loop. This problem can be solved by means of the integral theorem
. If an ML output signal is proportional to projection of a vector der
ivative with respect to ML direction, the ML with a step shape can be
used. In this case the potential component of a vector field can be re
constructed. This approach can be applied to research on distributions
of electromagnetic, deforming, and other vector fields and can be use
d far developing systems to monitor vector physical fields.