An Inverse Fast Multipole Method for Imaging Applications

Author

Álvarez, Yuri ; Martínez, José Ángel ; Las-Heras, Fernando ; Rappaport, Carey M.

Author_Institution

Dept. of Electr. Eng., Univ. de Oviedo, Gijon, Spain

Volume

10

fYear

2011

fDate

7/3/1905 12:00:00 AM

Firstpage

1259

Lastpage

1262

Abstract

An inverse fast multipole method (FMM) for imaging applications is presented. The goal is the acceleration of an inverse source-based method for geometry reconstruction achieved by taking advantage of the multipole expansion properties of the scattered fields and reconstructed equivalent currents. By conjugating the FMM terms, it is possible to recover the equivalent currents from the scattered fields in just one step rather than using matrix inversion or cost function minimization. For the sake of simplicity, 2-D problems where the objects under test having symmetry along one dimension are considered.

Keywords

electromagnetic wave scattering; equivalent circuits; image reconstruction; inverse problems; matrix inversion; minimisation; FMM; cost function minimization; electromagnetic field scattering; equivalent current reconstruction; equivalent currents; geometry reconstruction; imaging; inverse fast multipole method; inverse source based method; matrix inversion; Equations; Image reconstruction; Inverse problems; Microwave imaging; Microwave theory and techniques; Reconstruction algorithms; Fast multipole method (FMM); imaging; inverse methods; near-field characterization; sources reconstruction method (SRM);

fLanguage

English

Journal_Title

Antennas and Wireless Propagation Letters, IEEE

Publisher

ieee

ISSN

1536-1225

Type

jour

DOI

10.1109/LAWP.2011.2175477

Filename

6074922