Abstract: For boundary conditions with functions changing rapidly,especially in charged conductors,we combine compact feature of wavelet functions and high accuracy of RBF in a coupled method and solve ground metal trough/box problems. Rectangular,ridge and round waveguides are analyzed with RBF and FEM methods.Numerical experiments show that RBF method is efficient in solving electromagnetic boundary and eigenvalue problems.RBF method is easier and more accurate with less nodes.

Key words: radial basis function, meshless method, quasi wavelet, waveguide, eigenvalue