The geometric model and analysis model can be uniformly described by NURBS in isogeometric analysis method

so the model transformation process is avoided.However

since the analysis domain of IGA should be composed of tensor-product patches

it is difficult to deal with the issue of complex multiply connected domains.IGA based on trimming technique is constructed by NURBS geometric modeling of underlying surface and trimming curve

and then

directly map a parameter space trimmed by NURBS curve as the complicated holed structure

only one parameter space is sufficient to describe arbitrary complex topology.The advantages and properties of conventional IGA are maintained

and also

the range application of IGA is enlarged.In this paper

IGA based on trimming technique is expanded to the TE waveguide eigenvalue problem.With the solution of cutoff wave number for complicated multiholes structure

the effectiveness and high accuracy of proposed method are demonstrated by corresponding numerical examples.