Spatial Retrieval of Broadband Dielectric Spectra
A broadband soil dielectric spectra retrieval approach ( 1 MHz– 2 GHz) has been implemented for a layered half space. The inversion kernel consists of a two-port transmission line forward model in the frequency domain and a constitutive material equation based on a power law soil mixture rule (Compl...
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| Format: | Article |
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MDPI AG
2018-08-01
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| Series: | Sensors |
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| Online Access: | http://www.mdpi.com/1424-8220/18/9/2780 |
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| author | Jan Bumberger Juliane Mai Felix Schmidt Peter Lünenschloß Norman Wagner Hannes Töpfer |
| author_facet | Jan Bumberger Juliane Mai Felix Schmidt Peter Lünenschloß Norman Wagner Hannes Töpfer |
| author_sort | Jan Bumberger |
| collection | DOAJ |
| description | A broadband soil dielectric spectra retrieval approach ( 1 MHz– 2 GHz) has been implemented for a layered half space. The inversion kernel consists of a two-port transmission line forward model in the frequency domain and a constitutive material equation based on a power law soil mixture rule (Complex Refractive Index Model - CRIM). The spatially-distributed retrieval of broadband dielectric spectra was achieved with a global optimization approach based on a Shuffled Complex Evolution (SCE) algorithm using the full set of the scattering parameters. For each layer, the broadband dielectric spectra were retrieved with the corresponding parameters thickness, porosity, water saturation and electrical conductivity of the aqueous pore solution. For the validation of the approach, a coaxial transmission line cell measured with a network analyzer was used. The possibilities and limitations of the inverse parameter estimation were numerically analyzed in four scenarios. Expected and retrieved layer thicknesses, soil properties and broadband dielectric spectra in each scenario were in reasonable agreement. Hence, the model is suitable for an estimation of in-homogeneous material parameter distributions. Moreover, the proposed frequency domain approach allows an automatic adaptation of layer number and thickness or regular grids in time and/or space. |
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| format | Article |
| id | doaj.art-8ee7ece35b014bacbeb98f36ddae11c9 |
| institution | Directory Open Access Journal |
| issn | 1424-8220 |
| language | English |
| last_indexed | 2024-04-14T03:33:57Z |
| publishDate | 2018-08-01 |
| publisher | MDPI AG |
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| series | Sensors |
| spelling | doaj.art-8ee7ece35b014bacbeb98f36ddae11c92022-12-22T02:14:51ZengMDPI AGSensors1424-82202018-08-01189278010.3390/s18092780s18092780Spatial Retrieval of Broadband Dielectric SpectraJan Bumberger0Juliane Mai1Felix Schmidt2Peter Lünenschloß3Norman Wagner4Hannes Töpfer5Department Monitoring and Exploration Technologies, Helmholtz Centre for Environmental Research—UFZ, Permoserstrasse 15, 04318 Leipzig, GermanyDepartment of Computational Hydrosystems, Helmholtz Centre for Environmental Research—UFZ, Permoserstrasse 15, 04318 Leipzig, GermanyDepartment Monitoring and Exploration Technologies, Helmholtz Centre for Environmental Research—UFZ, Permoserstrasse 15, 04318 Leipzig, GermanyDepartment Monitoring and Exploration Technologies, Helmholtz Centre for Environmental Research—UFZ, Permoserstrasse 15, 04318 Leipzig, GermanyInstitute of Material Research and Testing - MFPA at the Bauhaus-University Weimar, Coudraystrasse 9, 99423 Weimar, GermanyDepartment of Advanced Electromagnetics, Technische Universität Ilmenau, Helmholtzplatz 2, 98693 Ilmenau, GermanyA broadband soil dielectric spectra retrieval approach ( 1 MHz– 2 GHz) has been implemented for a layered half space. The inversion kernel consists of a two-port transmission line forward model in the frequency domain and a constitutive material equation based on a power law soil mixture rule (Complex Refractive Index Model - CRIM). The spatially-distributed retrieval of broadband dielectric spectra was achieved with a global optimization approach based on a Shuffled Complex Evolution (SCE) algorithm using the full set of the scattering parameters. For each layer, the broadband dielectric spectra were retrieved with the corresponding parameters thickness, porosity, water saturation and electrical conductivity of the aqueous pore solution. For the validation of the approach, a coaxial transmission line cell measured with a network analyzer was used. The possibilities and limitations of the inverse parameter estimation were numerically analyzed in four scenarios. Expected and retrieved layer thicknesses, soil properties and broadband dielectric spectra in each scenario were in reasonable agreement. Hence, the model is suitable for an estimation of in-homogeneous material parameter distributions. Moreover, the proposed frequency domain approach allows an automatic adaptation of layer number and thickness or regular grids in time and/or space.http://www.mdpi.com/1424-8220/18/9/2780electromagnetic scattering inverse problemsmicrowave propagationdielectric materialsdielectric measurementssoil measurementsmodeling |
| spellingShingle | Jan Bumberger Juliane Mai Felix Schmidt Peter Lünenschloß Norman Wagner Hannes Töpfer Spatial Retrieval of Broadband Dielectric Spectra Sensors electromagnetic scattering inverse problems microwave propagation dielectric materials dielectric measurements soil measurements modeling |
| title | Spatial Retrieval of Broadband Dielectric Spectra |
| title_full | Spatial Retrieval of Broadband Dielectric Spectra |
| title_fullStr | Spatial Retrieval of Broadband Dielectric Spectra |
| title_full_unstemmed | Spatial Retrieval of Broadband Dielectric Spectra |
| title_short | Spatial Retrieval of Broadband Dielectric Spectra |
| title_sort | spatial retrieval of broadband dielectric spectra |
| topic | electromagnetic scattering inverse problems microwave propagation dielectric materials dielectric measurements soil measurements modeling |
| url | http://www.mdpi.com/1424-8220/18/9/2780 |
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