The mechanism of the magnetoresistance contribution to the magnetoimpedance effect in thin films

We have developed a simple model allowing further clarifications of the magnetoresistance (MR) contribution to the giant magnetoimpedance (GMI) effect in thin films. The theoretical considerations are the following. It is absolutely assumed that a thin film with no magnetic domain structure and a high frequency ac current I = I$\sub$0/e$\^$iwt/ flowing parallel to the Z direction in the plane of the film. The sample has the thickness 2a in the X direction, thus the Y direction in the plane of the sample and perpendicular to the current direction. The transverse permeability ${\mu}$$\sub$Y/ in the Y direction is uniform. In the case of GMI effect, the total impedance Z = R + iX can be written as.