On the Generation of Distributed Spherical Harmonics Expansions for Inverse Source Solutions

T. F. Eibert, D. Ostrzyharczik, J. Kornprobst, J. Knapp

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Distributed spherical harmonics expansions are a powerful approach for the efficient solution of inverse source problems. They allow for a relatively accurate representation of the geometric support of the source distribution without the overhead of handling a mesh and mesh-specific basis functions representing the commonly utilized surface current densities. Standard spherical harmonics expansions distributed over a Huygens surface around the source domain are, however, redundant. Therefore, we discuss ways towards the reduction of this redundancy, where we are in particular interested in the construction of spherical harmonics with predominant radiation into the actual solution domain. Several sets of such spherical harmonics are presented and their utilization with measured and synthetic near-field data is demonstrated.

Original languageEnglish
Title of host publication17th European Conference on Antennas and Propagation, EuCAP 2023
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9788831299077
DOIs
StatePublished - 2023
Event17th European Conference on Antennas and Propagation, EuCAP 2023 - Florence, Italy
Duration: 26 Mar 202331 Mar 2023

Publication series

Name17th European Conference on Antennas and Propagation, EuCAP 2023

Conference

Conference17th European Conference on Antennas and Propagation, EuCAP 2023
Country/TerritoryItaly
CityFlorence
Period26/03/2331/03/23

Keywords

  • antenna measurements
  • directive sources
  • inverse problems
  • spherical mode expansion

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