Multilevel fast multipole algorithm for three‐dimensional dielectric targets in the vicinity of a lossy half space

Abstract

The multilevel fast multipole algorithm (MLFMA) is applied to the problem of a general three‐dimensional dielectric target above or below a lossy half space. The dyadic half‐space Green's function is evaluated rigorously for the “near” MLFMA interactions, while an asymptotic Green's function approximation is applied for the “far” interactions. The model is discussed, and results are compared with those from a rigorous method‐of‐moments (MoM) analysis. © 2001 John Wiley & Sons, Inc. Microwave Opt Technol Lett 29: 100–104, 2001.

Compressive sensing for multi-static scattering analysis

“…We here examine this question within the context of electromagnetic scattering from the target in Figure 12. Scattering from this target was analyzed using the multi-level fast-multipole method (MLFMM) technique discussed in [25]. To simplify the analysis, the calculations were performed at a fixed azimuthal angle φ i = φ s = 0 o , and the incidence and scattering angles were…”

MLFMA analysis of scattering from multiple targets in the presence of a half-space

“…The multi-level fast-multipole algorithm (MLFMA) has been presented in several recent papers [13][14][15][16][17][18][19][20][21], and the interested reader is referred to these papers for an in-depth discussion of the formalism. We point out particular issues of interest for the problem considered here, with a focus on perfectly conducting targets for notational simplicity.…”

“…general conducting or dielectric targets in the presence of a half space [13][14][15][16]. Other researchers have developed related computational tools [17][18][19][20][21].…”

“…Other researchers have developed related computational tools [17][18][19][20][21]. The MLFMA addresses an integral equation like MoM, but requires order N log N memory and P·N log N CPU time, making tractable the analysis of scattering from previously unsolvable electromagnetic problems [13][14][15][16][17][18][19][20][21].…”

Electromagnetic Scattering by Conducting Bor Coated With Chiral Media Above a Lossy Half-Space

“…The problem of electromagnetic scattering from conducting BOR coated with chiral media above a lossy half-space is formulated using the Poggio-Miller-Chang-Harrington-Wu integral equation combined with combined field integral equation (PMCHW-CFIE) [25][26][27]. The discrete complex-image method (DCIM) [28,29] is applied to obtain the spatial domain half-space Green's functions in closed forms.…”