An efficient perturbative approach for finite-element analysis of microwave devices exhibiting small geometrical variations

An innovative method for fast analysis of geometrical variations in electromagnetic wave problems is proposed. The method is based on a perturbative approach applied to the solution of the linear integro-differential operator of the electromagnetic problem in presence of small domain modifications. This approach has been embedded in a classical finite-element framework to achieve a very fast technique for field evaluation in synthesis or tolerance investigation of microwave passive devices. The proposed technique can handle geometrical variations without the need of re-meshing the domain and without any deformation of the original mesh of the problem. Index Terms--Computer-aided design (CAD), finite-element methods (FEMs), sensitivity analysis, waveguide filters.