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The broadband Green's function with low wavenumber extractions (BBGFL) consists of low wavenumber method of moments (MoM) solutions combined with modal expansions. BBGFL is suitable for broadband simulations because the modal functions are independent of frequencies. The modal expansion in this paper has sixth-order convergence. Using wavenumber derivatives of the surface current, it is shown that the higher order extraction requires only a single MoM impedance matrix on the left-hand side. For the same number of modes, the sixth-order convergence has significant improvement in accuracy over the \textsecond - and \textfourth-order convergence. Scattering in an arbitrary-shape waveguide is modeled by using a surface integral equation formulated with the sixth-order BBGFL. Using BBGFL, the unknowns are only on the surface of the scatterer. Results of simulations are illustrated and the results are in good agreement with those of direct MoM. [ABSTRACT FROM AUTHOR]

In this paper, the broadband Green’s function with low wavenumber extraction (BBGFL) is applied to modeling of traces connecting vias in arbitrarily shaped power/ground planes of printed circuit boards (PCBs). The proposed modeling method is a hybrid technique based on mode decomposition: BBGFL is used to fast compute the vias in power/ground planes, MoM is used to calculate the impedance matrix of the traces, and a physical circuit model is then applied to combine the vias and traces in the power/ground planes. The present method is compared to the method of moments (MoM) and the commercial tool HFSS. Results show that the results of the present technique are in good agreement with MoM and HFSS on the radiated emissions from PCBs. BBGFL is several hundred times faster than HFSS in CPU time for broadband simulations. The technique provides a fast broadband solution for system-level modeling of high-speed interconnects with vias and traces in electronic design automation design and applications. [ABSTRACT FROM AUTHOR]

In this paper, we apply the broadband Green's function with low wavenumber extraction (BBGFL) to fast modeling of the radiated emissions from printed circuit boards (PCBs). We study power bus structures for electromagnetic interference/compatibility (EMI/EMC). We use the BBGFL to compute the Green's function over broadband frequencies along the boundary walls of arbitrarily shaped power/ground planes. The broadband Green's function is calculated by using modal expansions and low wavenumber extraction. Because the modal expressions are independent of frequencies, they are computed once and used for all frequencies. The radiated fields are derived from the equivalent magnetic surface currents on boundary walls using Huygen's equivalent principle. Results are illustrated up to 10 GHz and for arbitrary shaped PCB up to 5 inches in size. The accuracy and computational efficiency of the present method are compared with the method of moments (MoM) and the commercial tool HFSS. The BBGFL results are in good agreement with MoM and HFSS. The BBGFL is several hundred times faster than MoM and HFSS for broadband simulations. The significant improvement in computational efficiency makes this technique useful for electronic design automation to EMI/EMC applications. [ABSTRACT FROM PUBLISHER]