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An induction gradiometer for conductivity contrast detection: Theoretical considerations
Author(s) -
Lovell John R.,
Habashy Tarek M.
Publication year - 1990
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs025i004p00357
Subject(s) - waveguide , planar , gradiometer , conductivity , reciprocity (cultural anthropology) , computation , physics , antenna (radio) , contrast (vision) , eigenvalues and eigenvectors , optics , mathematical analysis , acoustics , computational physics , mathematics , computer science , magnetic field , telecommunications , algorithm , quantum mechanics , magnetometer , psychology , social psychology , computer graphics (images)
We present a full wave theoretical model for an induction gradiometric sensor employed for detection of conductivity contrast. The sensor is composed of a wire antenna radiating from a rectangular waveguide, with receivers in the waveguide positioned symmetrically on either side of the transmitter. We first solve the canonical problem of an open‐ended rectangular waveguide in a planar stratified medium and then apply reciprocity and the Born approximation to deduce the response of the sensor in the presence of an arbitrary external medium. We compare our results against experimentally measured data and find excellent agreement. We present a discussion of these results together with an analysis of the numerical considerations involved in the computation.