A linear optimization method to solve 2D Inverse Scattering Problem with masked domain

G. Labate; P. Pirinoli; L. Matekovits

doi:10.1109/APS.2015.7305061

A linear optimization method to solve 2D Inverse Scattering Problem with masked domain

G. Labate, P. Pirinoli, L. Matekovits

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

1 Citation (Scopus)

Abstract

Solutions of Inverse Scattering Problems (ISP) are exploited for 2D imaging process, in order to find shape, location and constitutive parameters of targets (e.g. dielectrics) embedded in a electromagnetic scenario. From the mathematical point of view, the ISP is implemented as the minimization of a proper cost function, made up of two terms: they are known as state and data equations, usually both non linear. In the presented work, a linear optimization formulation of the ISP is made, exploiting evolutionary type methods (GA, Stud-GA, PSO and BBO) with the aid of a Contrast Source (CS) formulation. Combining these strategies, the ISP is computed solving the dual Forward Scattering Problem (FSP) for each individual of the starting population and the non linearity issue is demonstrated to be bypassed. A comparison between the four algorithms is performed in terms of speed of convergence when applied to a reference cylindrical geometry, where unknowns has to be searched only in a fixed region, masking the overall domain.

Original language	English
Title of host publication	Proceedings of the 2015 IEEE Antennas and Propagation Society International Symposium
Place of Publication	Piscataway, NJ
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	1344-1345
Number of pages	2
ISBN (Electronic)	9781479978151, 9781479978144
DOIs	https://doi.org/10.1109/APS.2015.7305061
Publication status	Published - 22 Oct 2015
Externally published	Yes
Event	IEEE Antennas and Propagation Society International Symposium, APS 2015 - Vancouver, Canada Duration: 19 Jul 2015 → 24 Jul 2015

Other

Other	IEEE Antennas and Propagation Society International Symposium, APS 2015
Country	Canada
City	Vancouver
Period	19/07/15 → 24/07/15

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10.1109/APS.2015.7305061

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@inproceedings{5c7f81e5a5c54793b80f39ca187b3830,

title = "A linear optimization method to solve 2D Inverse Scattering Problem with masked domain",

abstract = "Solutions of Inverse Scattering Problems (ISP) are exploited for 2D imaging process, in order to find shape, location and constitutive parameters of targets (e.g. dielectrics) embedded in a electromagnetic scenario. From the mathematical point of view, the ISP is implemented as the minimization of a proper cost function, made up of two terms: they are known as state and data equations, usually both non linear. In the presented work, a linear optimization formulation of the ISP is made, exploiting evolutionary type methods (GA, Stud-GA, PSO and BBO) with the aid of a Contrast Source (CS) formulation. Combining these strategies, the ISP is computed solving the dual Forward Scattering Problem (FSP) for each individual of the starting population and the non linearity issue is demonstrated to be bypassed. A comparison between the four algorithms is performed in terms of speed of convergence when applied to a reference cylindrical geometry, where unknowns has to be searched only in a fixed region, masking the overall domain.",

author = "G. Labate and P. Pirinoli and L. Matekovits",

year = "2015",

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doi = "10.1109/APS.2015.7305061",

language = "English",

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booktitle = "Proceedings of the 2015 IEEE Antennas and Propagation Society International Symposium",

publisher = "Institute of Electrical and Electronics Engineers (IEEE)",

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note = "IEEE Antennas and Propagation Society International Symposium, APS 2015 ; Conference date: 19-07-2015 Through 24-07-2015",

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Labate, G, Pirinoli, P & Matekovits, L 2015, A linear optimization method to solve 2D Inverse Scattering Problem with masked domain. in Proceedings of the 2015 IEEE Antennas and Propagation Society International Symposium. Institute of Electrical and Electronics Engineers (IEEE), Piscataway, NJ, pp. 1344-1345, IEEE Antennas and Propagation Society International Symposium, APS 2015, Vancouver, Canada, 19/07/15. https://doi.org/10.1109/APS.2015.7305061

A linear optimization method to solve 2D Inverse Scattering Problem with masked domain. / Labate, G.; Pirinoli, P.; Matekovits, L.

Proceedings of the 2015 IEEE Antennas and Propagation Society International Symposium. Piscataway, NJ : Institute of Electrical and Electronics Engineers (IEEE), 2015. p. 1344-1345.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

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N2 - Solutions of Inverse Scattering Problems (ISP) are exploited for 2D imaging process, in order to find shape, location and constitutive parameters of targets (e.g. dielectrics) embedded in a electromagnetic scenario. From the mathematical point of view, the ISP is implemented as the minimization of a proper cost function, made up of two terms: they are known as state and data equations, usually both non linear. In the presented work, a linear optimization formulation of the ISP is made, exploiting evolutionary type methods (GA, Stud-GA, PSO and BBO) with the aid of a Contrast Source (CS) formulation. Combining these strategies, the ISP is computed solving the dual Forward Scattering Problem (FSP) for each individual of the starting population and the non linearity issue is demonstrated to be bypassed. A comparison between the four algorithms is performed in terms of speed of convergence when applied to a reference cylindrical geometry, where unknowns has to be searched only in a fixed region, masking the overall domain.

AB - Solutions of Inverse Scattering Problems (ISP) are exploited for 2D imaging process, in order to find shape, location and constitutive parameters of targets (e.g. dielectrics) embedded in a electromagnetic scenario. From the mathematical point of view, the ISP is implemented as the minimization of a proper cost function, made up of two terms: they are known as state and data equations, usually both non linear. In the presented work, a linear optimization formulation of the ISP is made, exploiting evolutionary type methods (GA, Stud-GA, PSO and BBO) with the aid of a Contrast Source (CS) formulation. Combining these strategies, the ISP is computed solving the dual Forward Scattering Problem (FSP) for each individual of the starting population and the non linearity issue is demonstrated to be bypassed. A comparison between the four algorithms is performed in terms of speed of convergence when applied to a reference cylindrical geometry, where unknowns has to be searched only in a fixed region, masking the overall domain.

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A linear optimization method to solve 2D Inverse Scattering Problem with masked domain

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