Losses in conducting rectangular cylinders due to finite length coils

An exact analysis of the induced electromagnetic fields and eddy current losses in a long nonmagnetic conducting cylinder of rectangular cross-section placed in the field of a coaxial finite length circular coil is presented for the first time. A new formulation of the field problem in terms of two one-dimensional Fredholm integral equations of the second kind is used to compute the surface fields and losses in the cylinder due to an infinitely long coil with travelling wave excitation. Fourier integral representation is used to replace the finite length coil by travelling wave ones with a continuous spectrum of wavenumbers. A new efficient method for the direct calculation of the power loss in the wavenumber domain is presented. Numerical results for different cylinder and coil dimensions and different frequencies are given.