A generalized method for analyzing shielded thin microstrip discontinuities

Green's functions for vertical current sources embedded in uniform waveguides or cavities filled with multilayered media

“…Lopeteg et al [4] report sinusoidal and triangular patterns along with the conventional circular pattern. Laso et al [3] describe a nonuniform distribution and the tapered radii of circular PBG patterns with Gaussian distribution and chirped periods.…”

“…Introducing periodic perturbations such as dielectric rods, holes, and patterns in waveguides and microstrip substrates forms PBG materials. Although various configurations have been proposed in the literature, only the planar etched PBG configurations [1][2][3][4][5] have attracted much interest because of their ease of fabrication with photolithographic MIC, MMIC, and MEMS processes. The electromagnetic waves in a PBG material are impeded due to the periodic discontinuity, hence making a slow-wave structure.…”

“…These include the method of series expansion of the source function of the wave equation over a complete set of vector wave functions [1][2][3][4], the spectral domain method (SDM) [5][6][7][8], the approach based on the principle of scattering superposition [1,9], the method of image source expansion [10], and the method based on the transmission-line network analogy and the modal field expansion [11,12]. Most of these techniques, however, deal only with horizontal metallizations.…”

Numerical Evaluation of the Green's functions for Arbitrarily Shaped Enclosures

“…For the calculation of the Green's functions, only the rectangular enclosure has been extensively treated in the past ( [3]). One possibility is to express the Green's functions in terms of spectral domain slowly convergent series of vector modal functions ( [4]). However, spatial domain formulations can also be used to compute the Green's functions, expressing them as slow convergent series of spatial images ([5]).…”

Full-Wave Modeling of Stripline Structures in Multilayer Dielectrics

“…The latter is the most widely employed for the modeling of planar geometries, mainly due to the fact that it does not require the meshing of the whole volume of the structure. Several methods can be found in the literature for the analysis of multilayer microstrip topologies, either for shielded [3][4][5][6][7][8] or unshielded structures [9][10][11][12][13]. Moreover, some methodologies have been proposed to take into account the vertical interconnects between planar structures.…”