Computation of multiscale time-harmonic electromagnetic radiation

Surface integral equation;Domain decomposition method;Equivalence principle algorithm;Physical optics

Rutherford, Joseph M

关键词: Surface integral equation;    Domain decomposition method;    Equivalence principle algorithm;    Physical optics;   

Others  :  https://www.ideals.illinois.edu/bitstream/handle/2142/98258/RUTHERFORD-DISSERTATION-2017.pdf?sequence=1&isAllowed=y

美国|英语

来源: The Illinois Digital Environment for Access to Learning and Scholarship

【 摘 要 】

The effect of installation for an antenna is key to understanding its performance in the intended operating environments. While existing formulations support such analysis, their mapping of calculations to distributed computing hardware does not support simulating installation environments of arbitrary size. This work builds upon existing techniques to simulate installed antenna behavior using scattering analyses tailored to system components. The scattering operations reveal opportunities to introduce approximate techniques which form generalized hybrid solvers. The source antenna (with both subwavelength-scale and wavelength-scale features) is modeled with the electric field integral equation (EFIE), and it interfaces with the installation site using the equivalence principle algorithm (EPA) as a domain decomposition method (DDM). The use of EPA to enclose the EFIE-modeled antenna generalizes the method to arbitrary antenna models. The electrically large exterior structures are modeled with physical optics (PO) without loss of generality to other approximate or high-frequency asymptotic methods through a Schur complement analysis of the continuous and discretized equations. The proposed Schur complement EPA-PO hybrid introduces clear physics with applicability to other formulations for the individual domains. The proposed hybrid also maps the PO calculations efficiently to distributed parallel computing resources; the parallel computations are demonstrated by executing the simulations on a hybrid parallel distributed- and shared-memory computing cluster. The calculation of antenna interactions with electrically large structures implies transition from wave-physics to ray-physics behaviors, which raises questions of reduced rank in the discretized operators. These questions are addressed by identifying the wave- to ray-physics transition and observing reduced rank in the space of plane wave functions.