Solution to the Full Vectorial 3-D Inverse Source Problem by Multilevel Fast Multipole Method Inspired Hierarchical Disaggregation

A 3-D imaging approach based on a multilevel fast multipole method inspired hierarchical disaggregation of the broadband plane wave spectrum is introduced to solve the full vectorial electromagnetic inverse source problem based on the knowledge of the radiated fields. In terms of complexity, this al...

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Bibliographic Details
Published in:IEEE transactions on antennas and propagation 2012-07, Vol.60 (7), p.3325-3335
Main Authors: Schnattinger, G., Eibert, T. F.
Format: Article
Language:English
Subjects:
Applied classical electromagnetism
Bandwidth
Broadband communication
Current distribution
Electromagnetic radiation
Electromagnetic wave propagation, radiowave propagation
Electromagnetism
electron and ion optics
Exact sciences and technology
Fourier transforms
Fundamental areas of phenomenology (including applications)
Imaging
Inverse
inverse source problems
Mathematical models
microwave imaging
Multilevel
Multipoles
Optimization
Physics
Plane waves
Three dimensional
Three dimensional displays
Translations
Vectors
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Summary:A 3-D imaging approach based on a multilevel fast multipole method inspired hierarchical disaggregation of the broadband plane wave spectrum is introduced to solve the full vectorial electromagnetic inverse source problem based on the knowledge of the radiated fields. In terms of complexity, this algorithm is identical to fast Fourier transform accelerated 3-D imaging techniques. In terms of applicability, the hierarchical disaggregation is advantageous for commonly encountered spherical k-space data. Since the method can be directly combined with the near-field fast multipole translations, both far- and near-field data can be handled conveniently. The investigation includes an analysis of the inherent point spread function and numerical results.
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2012.2196946