Determination of Biconical Cavity Eigenfrequencies Using Method of Partial Intersecting Regions and Approximation by Rational Fractions

Andreev, M.; Drobakhin, O. O.; Saltykov, D. Yu.; Gorev, Nikolai B.; Kodzhespirova, Inna F.

doi:10.3103/s0735272719120033

Cited by 3 publications

(3 citation statements)

References 16 publications

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“…Among the types of resonators used for the material parameter measurements, open waveguide resonators with cutoff regions [4][5] occupy a specific place. One of the simplest resonators of this type is the biconical resonator, which is a combination of two truncated cones with a common base [4,6]. The resonator is configured in such a way that cutoff conditions arise in the tapering regions.…”

Section: Measurement Methodsmentioning

confidence: 99%

“…The main sources of errors in microwave cavity perturbation method are inaccuracy in measuring the values of S11 and S12, calculation errors, inaccuracies in the manufacture and determination of the location of the test sample. Supplementing the experimental procedure with a digital method for determining the natural frequency of the resonator based on a fractional rational approximation of the frequency response [4] can significantly improve the accuracy of the results.…”

Section: Introductionmentioning

confidence: 99%

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Measurement of the dielectric properties of paratellurite at microwaves using a biconical resonator

2020

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The results of measurements of the dielectric parameters of TeO2 samples in the microwave range are presented. The measurements were carried out in X-band by the cavity perturbation method using a measuring setup based on a biconical resonator. The advantages of using a high-Q biconical resonator for measuring the dielectric parameters of a paratellurite sample are considered. The determination of the dielectric parameters of the samples is based on finite element computational model and using digital method for determining the natural frequency by fractional rational approximation of the frequency response. The influence of the deviation of the sample shape from the cylindrical on the resonator parameters and the measurement error is considered. The estimate of the dielectric constant of TeO2 in the crystallographic direction [110] was 24.4, the dielectric loss factor such as tanδ is estimated as 3·10-4. The results obtained are in good agreement with the reference results presented in the scientific literature.

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Section: Measurement Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Measurement of the dielectric properties of paratellurite at microwaves using a biconical resonator

2020

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“…An alternative numerical approach is based on the collocation method used earlier for solving boundary-value and related problems [27][28][29]. Instead of solving the integrodifferential Equation ( 22), we solve the system of nonlinear equations…”

Section: Numerical Approachmentioning

confidence: 99%

Cavity Detachment from a Wedge with Rounded Edges and the Surface Tension Effect

Savchenko

Semënov

2021

JMSE

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Cavity flow around a wedge with rounded edges was studied, taking into account the surface tension effect and the Brillouin–Villat criterion of cavity detachment. The liquid compressibility and viscosity were ignored. An analytical solution was obtained in parametric form by applying the integral hodograph method. This method gives the possibility of deriving analytical expressions for complex velocity and for potential, both defined in a parameter plane. An expression for the curvature of the cavity boundary was obtained analytically. By using the dynamic boundary condition on the cavity boundary, an integral equation in the velocity modulus was derived. The particular case of zero surface tension is a special case of the solution. The surface tension effect was computed over a wide range of the Weber number for various degrees of cavitation development. Numerical results are presented for the flow configuration, the drag force coefficient, and the position of cavity detachment. It was found that for each radius of the edges, there exists a critical Weber number, below which the iterative solution process fails to converge, so a steady flow solution cannot be computed. This critical Weber number increases as the radius of the edge decreases. As the edge radius tends to zero, the critical Weber number tends to infinity, or a steady cavity flow cannot be computed at any finite Weber number in the case of sharp wedge edges. This shows some limitations of the model based on the Brillouin–Villat criterion of cavity detachment.

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A Local Point Method Based on DFS Expansion of Boundary Conditions for Eigenfrequencies Calculation of BoR Cavities

Volovichev,

Zouros,

Breslavets

et al. 2023

IEEE Trans. Microwave Theory Techn.

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Determination of Biconical Cavity Eigenfrequencies Using Method of Partial Intersecting Regions and Approximation by Rational Fractions

Cited by 3 publications

References 16 publications

Measurement of the dielectric properties of paratellurite at microwaves using a biconical resonator

Measurement of the dielectric properties of paratellurite at microwaves using a biconical resonator

Cavity Detachment from a Wedge with Rounded Edges and the Surface Tension Effect

A Local Point Method Based on DFS Expansion of Boundary Conditions for Eigenfrequencies Calculation of BoR Cavities

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