Inverse scattering problems deal with the determination of the constitutive parameters of the unknown objects embedded in a known background medium. In this problem, the configuration is illuminated by a single frequency wave-field and the scattered field is measured in an external observation domain. The inversion of this data is well-known to be non-linear and ill-posed. Furthermore, the retrievable information is limited. In order to overcome such drawbacks, multi-frequency data can be used by exploiting the Maxwellian dispersion relationships. However, the use of the set of multi-frequency data significantly increases the computational burden of the inversion process. Recently, the so-called Diagonalized Contrast Source Inversion (DCSI) method is introduced to efficiently solve the inverse problem. In this method, instead of solving the full non-linear problem, a three-linear-step procedure is carried out to significantly reduce the overall computational time. In order to further enhance the DCSI method, in this paper it has been extended for dealing with multi-frequency data.

The Multi-Frequency Diagonalized Contrast Source Method for Electromagnetic Inversion

Franceschini, Davide;Massa, Andrea;
2006-01-01

Abstract

Inverse scattering problems deal with the determination of the constitutive parameters of the unknown objects embedded in a known background medium. In this problem, the configuration is illuminated by a single frequency wave-field and the scattered field is measured in an external observation domain. The inversion of this data is well-known to be non-linear and ill-posed. Furthermore, the retrievable information is limited. In order to overcome such drawbacks, multi-frequency data can be used by exploiting the Maxwellian dispersion relationships. However, the use of the set of multi-frequency data significantly increases the computational burden of the inversion process. Recently, the so-called Diagonalized Contrast Source Inversion (DCSI) method is introduced to efficiently solve the inverse problem. In this method, instead of solving the full non-linear problem, a three-linear-step procedure is carried out to significantly reduce the overall computational time. In order to further enhance the DCSI method, in this paper it has been extended for dealing with multi-frequency data.
2006
EuCAP2006 European Conference on Antennas and Propagation - proceedings
Nice
ESA
A., Casagranda; Franceschini, Davide; Massa, Andrea; P. M., Van Den Berg; A., Abubakar; T. M., Habashy
File in questo prodotto:
File Dimensione Formato  
The_multi-frequency_diagonalized_contrast_source_method_for_electromagnetic_inversion.pdf

accesso aperto

Tipologia: Versione editoriale (Publisher’s layout)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 220.75 kB
Formato Adobe PDF
220.75 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/19467
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 3
  • ???jsp.display-item.citation.isi??? ND
social impact