Reconstruction of Dielectric Constants in a Cylindrical Waveguide

Beilina, Larisa; Eriksson, Anders

doi:10.1007/978-3-319-12499-5_7

Cited by 2 publications

(2 citation statements)

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“…The computational method developed in the study allows for the parametric determination of the thermal properties of cement concrete. The method is based on the idea of the so-called inverse problem [ 18 , 19 ], which is solved by calculating the values of the physical parameters of the modelled object. The inverse problem as a mathematical scientific issue is the theoretical basis of the calculations used in paper.…”

Section: The Purpose and Scope Of The Papermentioning

confidence: 99%

Thermal Diffusivity of Concrete Samples Assessment Using a Solar Simulator

et al. 2023

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The thermal properties of pavement layers made of concrete with varying bulk densities are a particularly interesting topic in the context of development road technologies. If a hybrid layer system is used as a starting point, with thin asphalt layers (from 1 cm to 4 cm) laid on top of a foam concrete layer, thermal properties begin to play a crucial role. The main research problem was to create a test method enabling the assessment of the influence of solar heating on the thermal parameters of the building material, especially cement concrete. For this reason, this paper is concerned specifically with the assessment of a new methodology for testing and calculating the value of the thermal diffusivity coefficient of samples made of concrete varying bulk densities. In this case, using the proprietary concept the authors built a solar simulator using a multi-source lighting system. The analysis of the results of laboratory tests and numerical analyses allowed the authors to observe that there is a strong correlation between the bulk density of samples heated and the thermal diffusivity parameter, which appears in the unidirectional heat transfer equation. The strength of this relationship has been expressed with the coefficient of determination and amounts to 99%. The calculated values of the coefficient of thermal diffusivity for samples made of foam concrete range from 0.16×10−6m2s to 0.52×10−6m2s and are lower (from 2.5 to 8 times) than the value determined for samples made of typical cement concrete.

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Section: The Purpose and Scope Of The Papermentioning

confidence: 99%

Thermal Diffusivity of Concrete Samples Assessment Using a Solar Simulator

et al. 2023

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“…A test code (the same code as used for generating electromagnetic fields in [6]) based on a spectral domain Greens function for cylindrical geometry [7] was compared to the transverse resonance method for both TE and TM modes for verification (with k z = 0: where an excitation current in z-direction renders TM modes, and an excitation in transverse angular φ direction, renders TE modes).…”

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confidence: 99%

Reconstruction of annular bi-layered media in cylindrical waveguide section

Eriksson

Beilina

Larsen³

2017

J.Math.Industry

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We consider a radial transverse resonance model for a circular cylindrical waveguide composed into two layers with different frequency dependent complex dielectric constants. An inverse problem with four unknowns -three physical material parameters and one dimensional dielectric layer thickness parameter -is solved by employing TE110 and TE210 modes with different radial field distribution. First the resonance frequencies and quality factors are found fitting a Lorentzian function to the 'measured' data, using the method of least squares. Then found resonance frequencies and quality factors are used in a second inverse Newton-Raphson algorithm which solves four transverse resonance equations in order to get four unknown parameters. The use of TE110 and TE210 models offers one-dimensional radial tomographic capability. An open ended coaxial waveguide quarter-wave resonator is added to the sensor topology, and the effect on the convergence of numerical method is investigated.

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Reconstruction of Dielectric Constants in a Cylindrical Waveguide

Cited by 2 publications

References 3 publications

Thermal Diffusivity of Concrete Samples Assessment Using a Solar Simulator

Thermal Diffusivity of Concrete Samples Assessment Using a Solar Simulator

Reconstruction of annular bi-layered media in cylindrical waveguide section

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