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Simulation of a Luneburg Lens using a broadband Multilevel Fast Multipole Algorithm
Author(s) -
Michiels Bart,
Bogaert Ignace,
Fostier Jan,
Peeters Joris,
De Zutter Daniël
Publication year - 2011
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/2010rs004510
Subject(s) - luneburg lens , multipole expansion , broadband , solver , discretization , lens (geology) , plane wave , dielectric , plane (geometry) , permittivity , computer science , optics , algorithm , mathematics , physics , geometry , mathematical analysis , refractive index , optoelectronics , quantum mechanics , programming language
In this paper, the full wave simulation of a 2‐D Luneburg lens is reported, using the Multilevel Fast Multipole Algorithm (MLFMA). To stabilize the MLFMA at low frequencies, it is augmented with a normalized plane‐wave method, yielding a fully broadband solver. To test the proposed method, the Luneburg lens is partitioned into concentric shells with a constant permittivity, resulting in a complex simulation target that consists of multiple embedded dielectric objects. The numerical results are in good agreement with the analytical solutions for both the continuous and discretized lens.