A formulation is presented for fast interactions between subdomains in two-dimensional (2-D) scattering problems. The formulation combines inhomogeneous plane waves with cylindrical harmonic decompositions of fields radiated by the subdomains. It is shown that the complexity of interactions naturally decays with the distance between subdomains and that very few elementary operations are involved at the lowest level. An example of iterative solution for scattering by a collection of cylinders validates the proposed approach.
Martini, E., Craeye, C., Ozdemir, N., Maci, S. (2015). Harmonics-based Inhomogeneous Plane-Wave Method (HIPW). IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 63(5), 2331-2336 [10.1109/TAP.2015.2408343].
Harmonics-based Inhomogeneous Plane-Wave Method (HIPW)
Martini, Enrica;Maci, Stefano
2015-01-01
Abstract
A formulation is presented for fast interactions between subdomains in two-dimensional (2-D) scattering problems. The formulation combines inhomogeneous plane waves with cylindrical harmonic decompositions of fields radiated by the subdomains. It is shown that the complexity of interactions naturally decays with the distance between subdomains and that very few elementary operations are involved at the lowest level. An example of iterative solution for scattering by a collection of cylinders validates the proposed approach.File | Dimensione | Formato | |
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https://hdl.handle.net/11365/977319