A THEORY FOR 3-DIMENSIONAL MEASUREMENT OF NONUNIFORM ELECTRIC-FIELD USING KERR-EFFECT

An optical method using the Kerr effect is useful to measure electric fields in dielectric liquids without disturbance. The computed tomography (CT) method has been applied to the measurement of two-dimensional field distributions by us. However, three-dimensional electric field distributions, in which field vectors are not always perpendicular to the transmitted light, have not been measured as yet. A three-dimensional field vector can be reduced to a two-dimensional one. This leads to the application of the CT method to the measurement of a more general distribution. This paper reports on a theory and a simulation of nonuniform three-dimensional electric field measurements.