A new approach to domain truncation without reflection is proposed for finite methods. The open-space Maxwell's equations, along with boundary conditions, are transformed to an equivalent system with a homogeneous closed boundary; the latter is then solved numerically. Like the popular perfectly matched layer (PML), the new method is independent of frequency and incident angle. Its uniqueness is that it does not need the extra absorption region, since the field attenuation takes place in the domain of the subject.Index Terms-Absorbing boundary, computational domain, truncation method, equivalent system.

A previous paper1 has elaborated the virtues of combining the finite element method and the boundary element method, by allowing the user to select any region of the problem to be represented by finite elements or boundary elements. This ‘‘hybrid’’ method is now extended to axisymmetric geometries for vector potential problems. Examples are given for static field and for eddy current problems.

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