Two-dimensional method of moments modelling of lossless overmoded transverse magnetic cavities

A Hybrid Ewald-Spectral Cavity Green’s Function Boundary Element Method With Spectral Domain Acceleration for Modeling of Over-Moded Cavities

“…A promising approach for cavity modeling is the cavity Green's function (CGF) boundary element method (BEM) [1]- [10]. Instead of the free-space Green's function, the Green's function of the rectangular cavity is used in the boundary integral formulation.…”

“…Moreover, the evaluation time of the CGF increases cubically with frequency. Thus, previous research concentrated on the simulation of cavities containing small, one-dimensional objects, such as dipole antennas [2]- [5], or the simulation of two-dimensional (2-D) cavities [1].…”

A Cavity Green's Function Boundary Element Method With Spectral Domain Acceleration for Modeling of Reverberation Chambers

“…As the cavity walls are incorporated in the cavity Green's function and do not need discretization, the number of unknowns is considerably reduced. In 2004, Laermans et al [14] modeled a two-dimensional cavity utilizing an optimized spectral representation of the cavity Green's function. To accelerate the algorithm, the integrals emerging in the computation of the system matrix were calculated analytically.…”

“…Therefore, the use of the cavity Green's function has mostly been restricted to cavities containing small, one-dimensional objects [15], [16], [18] or two-dimensional cavities [14].…”

“…Common to all previously proposed approaches [14]- [16], [18] is the evaluation of the system matrix in the spatial domain. However, in general, by leveraging a Fourier transform, the system matrix can also be evaluated in the spectral domain [19].…”