By using properly designed synthetic experiments and an original approximation of the contrast sources, we are able to recast the inverse scattering problem in an algebraic form (in a subset of points of the imaged domain) and hence to solve it by means of closed form formulas. The new approximation relies on the assumption that the contrast sources induced by the different synthetic experiments are focused in given points belonging to the scatterer. As such, the method involves a preprocessing step in which the outcome of the original scattering experiments is recombined into the new, virtual, ones enforcing he epeced crren behaior. Eample ih nmerical and experimental data are provided to assess the actual possibility of setting such a synthetic experiments framework and show the effectiveness of the proposed solution method.

An Algebraic Solution Method for Non-Linear Inverse Scattering

M. Bevacqua;ISERNIA, Tommaso
2015

Abstract

By using properly designed synthetic experiments and an original approximation of the contrast sources, we are able to recast the inverse scattering problem in an algebraic form (in a subset of points of the imaged domain) and hence to solve it by means of closed form formulas. The new approximation relies on the assumption that the contrast sources induced by the different synthetic experiments are focused in given points belonging to the scatterer. As such, the method involves a preprocessing step in which the outcome of the original scattering experiments is recombined into the new, virtual, ones enforcing he epeced crren behaior. Eample ih nmerical and experimental data are provided to assess the actual possibility of setting such a synthetic experiments framework and show the effectiveness of the proposed solution method.
Algebraic methods, contrast source approximation, focusing, inverse scattering problem, microwave imaging, noniterative methods, synthetic experiments
File in questo prodotto:
File Dimensione Formato  
Bevacqua_2015_TAP_Algebraic_Post.pdf

accesso aperto

Tipologia: Documento in Post-print
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 657.99 kB
Formato Adobe PDF
657.99 kB Adobe PDF Visualizza/Apri
Bevacqua_2015_TAP_Algebraic_Editor.pdf

non disponibili

Tipologia: Versione Editoriale (PDF)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 1.71 MB
Formato Adobe PDF
1.71 MB Adobe PDF   Visualizza/Apri   Richiedi una copia

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: http://hdl.handle.net/20.500.12318/6959
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 25
  • ???jsp.display-item.citation.isi??? 0
social impact