Study of ferrite material characterization using transmission line model

Maleki, Mostafa; Armaki, S. H. Mohseni; Hamidi, Emad

doi:10.1002/mop.31428

Cited by 3 publications

(5 citation statements)

References 8 publications

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“…As described earlier, the new proposed approach finds its origins and principle in Equations ( 13), ( 14), (25), and (26) before determining the relative permittivity through Equation ( 5) and the dielectric loss tangent given in Equation (9). Finally, the extracted results have been compared to those obtained with the eigenvalues of the filled two-lines principle (EFTLP).…”

Section: Mathematical Modeling: Methodologymentioning

confidence: 99%

“…The slight difference is the use of the characteristic impedance (which does not depend on the length), which conceptually keeps the same value in the entire frequency range. At the same time, the loss tangent expressions given in Equations ( 9) and ( 30) depend on a factor that is not necessarily equal to a fixed number, as shown in Equation (9). The loss tangent, computed from Equation (9), clearly depends on For the same test cell (circular coaxial), it can be seen that the relative permittivity and the correction coefficient X increased.…”

Section: 0mentioning

confidence: 99%

“…Six main techniques constitute these two families. Among them are methods using two parallel plates (capacitor method) [7,8], inductors [9,10], free-space [11][12][13][14], probes [15][16][17][18], transmission lines [9,[19][20][21], and resonant cavities [22][23][24]. In these examples, adapting the technique to the material and the scanned frequency seems correct, as each method has its advantages and disadvantages.…”

Section: Introductionmentioning

confidence: 99%

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Extraction of the Complex Relative Permittivity from the Characteristic Impedance of Transmission Line by Resolving Discontinuities

2022

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This paper describes a material complex permittivity extraction technique based on four measurements of two identical coaxial (circular and rectangular) lines, distinguished by their lengths. The paper presents a combination of propagation parameters through mixing the eigenvalue principle and the lines’ characteristic impedance to improve the extraction techniques of intrinsic material parameters. However, the accuracy of some material parameters is insufficient, as the discontinuities at the feedline–ideal line interface are not adequately solved. In these cases, a new formulation of the complex effective permittivity is suggested, associating the propagation constant and the characteristic impedance for a homogeneous structure. Next, uncertain errors that can negatively impact the method are removed from the mathematical expression. Then, a characteristic impedance expression is developed in the second stage to improve the mathematical formulation. Finally, a correction coefficient in tune with reality and a polynomial function to amend the behavior of some of the curves are provided. The approach’s novelty lies in its ability to extract and correct the characteristic impedances despite discontinuity impedances at the ideal line–feedline interface. Several materials are tested with circular and/or rectangular coaxial fixtures to confirm the performance of the suggested method. The test cells are homogeneous, full, and long, at 80 mm and 100 mm (50 mm for the circular one). Determining the propagation constant from the eigenvalue of the wave cascading matrix (WCM) is a fundamental step in this method. Knowing the propagation constant helps to automatically compute a correction coefficient that depends on the fixture and the material being tested. Experimental validation is performed in the frequency range from some MHz to 10 GHz, 13.5 GHz, and 20 GHz, according to the tested material. Both test fixtures are filled with the sample material, with a vacuum considered as a reference parameter. The method’s accuracy is better than 5% on the relative permittivity parameter throughout the frequency range. All the tested samples are compared with the results using the filled two-transmission-line technique (FTTL), using only the eigenvalue determination principle. The trapper cells are coaxially circular and rectangular.

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Section: Mathematical Modeling: Methodologymentioning

confidence: 99%

Section: 0mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Extraction of the Complex Relative Permittivity from the Characteristic Impedance of Transmission Line by Resolving Discontinuities

2022

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“…Several methods for extracting the dielectric and magnetic properties of materials at microwave frequencies have been studied. This method can be categorized as non-resonant (transmission/reflection method) and resonant method (cavity perturbation technique) [16,20,24,29,30]. This work presents two material characterization methods, namely transmission/reflection methods (APC-7 coaxial connector) and microwave sensors based on CDSRRs, to obtain the relative permittivity (ε r ) and relative permeability (µ r ) of the magneto dielectric material.…”

Section: Dielectric Measurement Of Pdms-fe 3 Omentioning

confidence: 99%

Synthesis and Characterization of Polymer (PDMS-Fe<sub>3</sub>O<sub>4</sub>) Magneto-dielectric Material Based on Complementary Double Split Ring Resonator

Ikhsan,

Khee,

Dahlan

et al. 2024

PIER C

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In this paper, a comparison microwave method between Transmission and Reflection using a Coaxial Cable and complimentary double split ring resonator (CDSRR) for characterization of magneto-dielectric material is proposed. This method enables the determination of both relative permittivity and permeability of magneto-dielectric material. The CDSRR resonates at 3.46 GHz with a quality factor of 127 in unloaded condition. To determine the effects of permittivity and permeability on the shift of resonant frequency, the electric and magnetic fields are localized in two separate zones in the CDSRR sensor. Prediction formulas are proposed to extract the value of real permittivity and permeability from S21 parameter. For Transmission/Reflection Method, to extract the dielectric and magnetic properties, Nicolson-Ross-Weir (NRW) are used. The prototypes of proposed sensors are fabricated on a ROGERS 3003 and tested for validation of their functionality. A good agreement between the measured data using Transmission/Reflection Method and CDSRR sensor is observed.

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“…In that case, the design of new gadgets and their manufacture to satisfy consumers across industries specializing in different sectors become more and more desirable and challenging [11,30]. This requires adapting the techniques to the new constraints by combining existing approaches and focusing on critical parameters of the material under test (MUT) [31][32][33][34]. The six techniques mentioned above do not offer the same ease of sample insertion, simplicity and rapidity in the extraction implementation, details on the parameters extracted, and possibilities of coverage of study frequency range.…”

Section: Introductionmentioning

confidence: 99%

Probe with a metallic bowl termination to determine the electric material parameters from variable thicknesses

Bouesse,

Moukanda Mbango

2024

Eng. Res. Express

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This paper discusses a new approach to determining the material electric parameters (dielectric constant and dissipation factor) through a technique based on identical material variation thicknesses. The copper bowl controls the material thicknesses and allows quick and safe measurements to get to the electromagnetic material information. This approach assumes that the discontinuities generated at the probe and bowl are identical and removed through mathematical operations. The material under test (MUT) gap thickness doesn’t exceed one millimeter. Some formulations have been developed to determine the discontinuity condensers and both capacitors of each thickness. Two proposed developments have been given to extract the complex effective and relative permittivities. A mathematical formula has been proposed to ensure the transition from effective to intrinsic parameters, where the MUT thicknesses and the probe’s outer diameter of the inner conductor are considered. A de-embedding operation is necessary, and the method is suitable but not limited to low-k. The coaxial probe is flat terminated, and the experimental validation has been made in the frequency ranges 1 MHz – 2.2 GHz for FR-4 HTG-175 and 1 MHz – 0.8 GHz for Alumina 99.5%. All MUTs are cm2, except their thicknesses. The suggested approach is straightforward in sample insertion, simple in its data acquisition and implementation, and precise in the final parameters' results.

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Study of ferrite material characterization using transmission line model

Cited by 3 publications

References 8 publications

Extraction of the Complex Relative Permittivity from the Characteristic Impedance of Transmission Line by Resolving Discontinuities

Extraction of the Complex Relative Permittivity from the Characteristic Impedance of Transmission Line by Resolving Discontinuities

Synthesis and Characterization of Polymer (PDMS-Fe<sub>3</sub>O<sub>4</sub>) Magneto-dielectric Material Based on Complementary Double Split Ring Resonator

Probe with a metallic bowl termination to determine the electric material parameters from variable thicknesses

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