PMID- 24323115 OWN - NLM STAT- PubMed-not-MEDLINE DCOM- 20140811 LR - 20181023 IS - 1520-8532 (Electronic) IS - 1084-7529 (Linking) VI - 30 IP - 6 DP - 2013 Jun 1 TI - Multilevel fast multipole method based on a potential formulation for 3D electromagnetic scattering problems. PG - 1273-80 LID - 10.1364/JOSAA.30.001273 [doi] AB - A combination of the multilevel fast multipole method (MLFMM) and boundary element method (BEM) can solve large scale photonics problems of arbitrary geometry. Here, MLFMM-BEM algorithm based on a scalar and vector potential formulation, instead of the more conventional electric and magnetic field formulations, is described. The method can deal with multiple lossy or lossless dielectric objects of arbitrary geometry, be they nested, in contact, or dispersed. Several examples are used to demonstrate that this method is able to efficiently handle 3D photonic scatterers involving large numbers of unknowns. Absorption, scattering, and extinction efficiencies of gold nanoparticle spheres, calculated by the MLFMM, are compared with Mie's theory. MLFMM calculations of the bistatic radar cross section (RCS) of a gold sphere near the plasmon resonance and of a silica coated gold sphere are also compared with Mie theory predictions. Finally, the bistatic RCS of a nanoparticle gold-silver heterodimer calculated with MLFMM is compared with unmodified BEM calculations. FAU - Fall, Mandiaye AU - Fall M FAU - Boutami, Salim AU - Boutami S FAU - Gliere, Alain AU - Gliere A FAU - Stout, Brian AU - Stout B FAU - Hazart, Jerome AU - Hazart J LA - eng PT - Journal Article PL - United States TA - J Opt Soc Am A Opt Image Sci Vis JT - Journal of the Optical Society of America. A, Optics, image science, and vision JID - 9800943 EDAT- 2013/12/11 06:00 MHDA- 2013/12/11 06:01 CRDT- 2013/12/11 06:00 PHST- 2013/12/11 06:00 [entrez] PHST- 2013/12/11 06:00 [pubmed] PHST- 2013/12/11 06:01 [medline] AID - 255516 [pii] AID - 10.1364/JOSAA.30.001273 [doi] PST - ppublish SO - J Opt Soc Am A Opt Image Sci Vis. 2013 Jun 1;30(6):1273-80. doi: 10.1364/JOSAA.30.001273.