  The non-linear induction problem in an infinite ferromagnetic pate is studied
theoretically by means of the truncated region eigenfunction expansion (TREE)
for the 2D case. The non-linear formulation is linearised using a fixed-point
iterative scheme, and the solution of the resulting linear problem is
constructed in the Fourier domain following the TREE formalism. The calculation
is carried out for the steady-state response under harmonic excitation and the
harmonic distortion is derived from the obtained spectrum. This article is
meant to be the theoretical part of a study, which will be complemented by the
corresponding experimental work in a future communication.
