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Three-dimensional multilevel fast multipole algorithm from static to electrodynamic

✍ Scribed by Jun-Sheng Zhao; Weng Cho Chew

Publisher: John Wiley and Sons
Year: 2000
Tongue: English
Weight: 173 KB
Volume: 26
Category: Article
ISSN: 0895-2477
DOI: 10.1002/(sici)1098-2760(20000705)26:1<43::aid-mop14>3.0.co;2-8

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✦ Synopsis

A normalized three-dimensional 3-D multile¨el fast mul-( ) ( ) tipole algorithm MLFMA with a computational complexity of O N for ( ) ¨ery low-frequency LF problems is de¨eloped. This 3-D LF-MLFMA can be used not only independently for ¨ery low-frequency cases or ¨ery small structures compared to the wa¨elength, but also to sol¨e large-scale structures with rapidly ¨arying areas when merged with a general dynamic algorithm. From the LF᎐MLFMA, a more explicit and succinct representation of the static MLFMA is also deri¨ed.

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## 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 fun