### Abstract

Linear embedding via Green's operators (LEGO) is a domain decomposition method that uses electromagnetic “bricks” to solve wave scattering problems. The algebraic form of the relevant functional equations (which are derived by invoking the surface equivalence principle) is a linear system characterized by a full and possibly large matrix. The size of the system can be effectively reduced by adopting macro basis functions defined on the surface of a brick through 1) the eigencurrents expansion method (EEM) and 2) the Adaptive Cross Approximation (ACA). The two methods lead to the same results, though the ACA macro basis functions are faster to compute.

Original language | English |
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Title of host publication | Proceedings of the 2015 9th European Conference on Antennas and Propagation (EUCAP), 13-17 May 2015, Lisbon, Portugal |

Place of Publication | Piscataway |

Publisher | Institute of Electrical and Electronics Engineers |

Pages | 1-5 |

ISBN (Print) | 978-88-907018-5-6 |

Publication status | Published - 2015 |

Event | 9th European Conference on Antennas and Propagation, EuCAP 2015 - Lisbon, Portugal Duration: 13 May 2015 → 17 May 2015 Conference number: 9 http://www.eucap2015.org/ |

### Conference

Conference | 9th European Conference on Antennas and Propagation, EuCAP 2015 |
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Abbreviated title | EuCAP 2015 |

Country | Portugal |

City | Lisbon |

Period | 13/05/15 → 17/05/15 |

Internet address |

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## Cite this

Lancellotti, V., & Maaskant, R. (2015). A comparison of two types of macro basis functions defined on LEGO electromagnetic bricks. In

*Proceedings of the 2015 9th European Conference on Antennas and Propagation (EUCAP), 13-17 May 2015, Lisbon, Portugal*(pp. 1-5). Institute of Electrical and Electronics Engineers.