Abstract

A novel set of multilevel basis functions is proposed in this paper to improve the system matrix conditioning of the radiation problem for line-fed patch antenna. The proposed basis functions are formulated in a wavelet-like manner. As a result, they possess spatial resolutions and mutual orthogonality which are significant for a well conditioning of the system matrix. Compared with the conventional MR basis functions, the proposed basis functions are computational efficient without a need for the qausi-Hemholtz decomposition or an interaction of the overall system matrix. Meanwhile, by analyzing the diagonal dominance of the system matrix, an original explanation is presented for the well conditioning of the generic MR schemes. Numerical examples have been given to demonstrate the validity and effectiveness of the proposed scheme.

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