In this paper we extend the continuum model for interdigital dielectrometry
sensors and propose a new, direct technique for estimating material electr
ical properties from measurements. Interdigital sensors consist of alternat
ing pairs of long, thin electrodes on a plane. An ideal model assumes that
the periodic structure extends to infinity and the electrodes have no thick
ness. We extend this ideal analysis to account for the physical thickness o
f the electrodes. We also present the model in a matrix form which is amena
ble to linear algebraic analysis techniques. In particular, the 'inverse pr
oblem' of estimating material properties is formulated as a generalized Eig
envalue problem, which avoids the convergence problems of previous iterativ
e algorithms.