This study aims at formulating a dyadic Green' s function method for directly solving the forward and rninverse problems of the electromagnetic tomography (EMT) with parallel field sensor. First, an integral equation of the rnelectromagnetic problem for the EMT sensor is presented in terms of an equivalent source, which takes the dyadic rnGreen's function G (r, r') as its kernel. Next, starting from a single conducting cylinder filled with homogeneous rnmedium, a convenient way of finding the electric dyadic Green's function of the first kind Gel( r, r) is described based rnon the method of Ga. Then, an eigenfunction expansion of the Gel( r, r) into vector wave functions M and N isrnobtained by means of a contour integration. Finally, an expression of the G( r, r' ), the dyadic Green' s function for the rnEMT sensor with cylindrically layered structure, is deduced from Gel(r, r) by adding reflected wave terms to it.
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