Simulation of a Luneburg Lens using a broadband Multilevel Fast Multipole Algorithm
Article first published online: 8 MAR 2011
Copyright 2011 by the American Geophysical Union.
Volume 46, Issue 2, April 2011
How to Cite
2011), Simulation of a Luneburg Lens using a broadband Multilevel Fast Multipole Algorithm, Radio Sci., 46, RS2003, doi:10.1029/2010RS004510., , , , and (
- Issue published online: 8 MAR 2011
- Article first published online: 8 MAR 2011
- Manuscript Accepted: 22 DEC 2010
- Manuscript Revised: 2 DEC 2010
- Manuscript Received: 30 AUG 2010
- method of moments;
- fast multipole method;
 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.