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In this paper, we present a method for the synthesis of multiple beams sparse array pattern based on the unitary matrix method (UMP). A Hankel block matrix is constructed from the sample data of the multiple beams pattern, we can obtain the corresponding excitation for each beam and the sparse array element position through the generalized value decomposition of the equivalent matrix pencil. The numerical...
In this paper, an efficient approach, named unitary matrix pencil method, is presented for pattern synthesis of sparse linear arrays. An equivalent real-valued matrix pencil can be achieved to determine the relation between element positions and new generalized eigenvalues through using the unitary transformation for the Hankel matrix with the sampled pattern data. The proposed method increases up...
We propose the recent progress in fast integral multiscale simulations in our group in this contribution. Firstly, a wideband fast kernel independent fast solver is proposed. The equivalence sources on designed equivalence surface are introduced to obtain the nested low rank approximation. At the low to mid frequency, thanks to the nested low rank approximation, the computation complexity of the proposed...
A nested complex source beam (NCSB) method based on octree structure is proposed to accelerate the method-of-moments (MoM) solution for three-dimensional (3-D) electromagnetic scattering analysis. At the finest level, the far-field contribution of each basis function is expressed with that of complex source beams (CSBs) distributed on the equivalent sphere surface for every group. Furthermore, the...
An efficient method for analysis of the ultra-wide band (UWB) antenna is proposed, the UWB microstrip antennas are analyzed by the mixed potential integral equation (MPIE). The produced dense impedance matrix is partitioned and compressed hierarchically by the multilevel UV method. And the linear systems are solved by the generalized minimal residual method (GMRES) iterative solver, the required matrix-vector...
The multilevel fast multipole algorithm (MLFMA) is very efficient for solving the three-dimensional problems, but for the small size of the complex objects, the memory usage of the multilevel fast multipole algorithm is very large. To overcome this problem, the matrix decomposition algorithm - singular value decomposition (MDA-SVD) is used to alleviate the pressure of the “strong” interaction portion...
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