Usage of laplace transform for analysis of magnetic heads

In the two-dimensional approximation the derivative of a complex head potential is, within a constant factor of unit magnitude, the Laplace image of the harmonic sensitivity of the head. This relationship provides an opportunity to use Laplace transform formalism for head analysis. The application of this formalism has resulted in simple analytical expressions for the wavelength response of both a thin ring head with finite pole pieces and a thin probe head with a fine winding.