Domain Decomposition Method Based on Generalized Scattering Matrix for Installed Performance of Antennas on Aircraft

A Domain Decomposition Method Based on a Generalized Scattering Matrix Formalism and a Complex Source Expansion

“…of its expansion as in (3). The free-space condition ensures the absence of reflections from outside, which corresponds to the matched load condition for microwave devices.…”

“…The Domain Decomposition Method (DDM) [1][2][3][4][5] is a general approach for the solution of complex multiscale problems, which allows one to overcome the above mentioned impairments; it consists in dividing the original problem into simpler, more tractable nonoverlapped subdomains that are solved separately, and then obtaining the overall solution by imposing the validity of proper boundary conditions at the interface between adjacent subdomains. This way, the task of electromagnetic field computation is separated into two parts: Characterization of the individual subdomains and description of the topology, i.e., how each subdomain is connected to the others.…”

“…An hybrid approach combining finite element method for the analysis of the single subdomains and spherical mode expansion for the description of the coupling effects is proposed in [13]. In [3], the tangential electromagnetic fields on the subdomain interfaces are expanded on a set of basis functions, and the Boundary Element Method (BEM) or the Finite Element Method (FEM) are used to calculate the scattering matrices. Then, the relationship between the basis functions associated with different subdomains is found by simply imposing the tangential field continuity at the interfaces separating adjacent subdomains.…”

“…In the above mentioned methods [1][2][3][4][5][6][7][8][9][10][11][12][13][14] all the wave objects are in general involved in the interactions. On the other hand, if directive beams were used for the field expansion, the identification of interacting wave objects would assume a direct and natural geometrical interpretation and the number of connected ports could be minimized.…”

Analysis of surrounded antennas mounted on large and complex structures using a hybrid method

“…These methods can be separated into two groups, rigorous methods [2], [3], [4] and hybrid methods [5], [6]. A hybrid method allowing modular analysis has been proposed recently [7].…”