Kerr electro-optic measurements of transformer oil in a point-plane geometry
- 17 December 2002
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 2, 697-700
- https://doi.org/10.1109/icpadm.1994.414106
Abstract
Electric field distributions measured using the Kerr effect have a phase shift between light components polarized parallel and perpendicular to the electric field, which is proportional to the magnitude squared of the electric field components in the plane perpendicular to light propagation integrated over the light path length. One wishes to recover the electric field distribution from measurements of light phase shifts. For axisymmetric geometries where the electric field depends only on the radial coordinate and whose direction is constant along the light path, as is the case along a planar electrode, the total phase shift for light propagating at a constant distance from the center of symmetry and the electric field distribution are related by an Abel transform pair, a special case of Radon transforms typically used in image reconstructions with medical tomography and holography. This paper examines the Abel transformation for a point-plane electrode system and reports related preliminary Kerr electro-optic field mapping measurements in transformer oil.<>Keywords
This publication has 4 references indexed in Scilit:
- Abel transforms relating Kerr effect optical phase shifts and axisymmetric electric field distributionsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- Transform relationship between Kerr-effect optical phase shift and nonuniform electric field distributionsIEEE Transactions on Dielectrics and Electrical Insulation, 1994
- Maple V Language Reference ManualPublished by Springer Nature ,1991
- Properties of the tip-plane configurationJournal of Physics D: Applied Physics, 1971