Determination of the eigenfrequencies of a ferrite-filled cylindrical cavity resonator using the finite element method

Chinn, G.C.; Epp, L.; Wilkins, Gregory M.

doi:10.1109/22.382089

Cited by 12 publications

(6 citation statements)

References 4 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The basic theory is due to Kales [99], who formulated an analytical characteristic equation for cylindrical waveguides filled with media which is gyromagnetic only. This procedure was then modified for the case of cylinder resonators by Chinn et al [100]. Moreover, Trier generalized Kales' theory to waveguides containing material with both gyromagnetic and gyroelectric properties [101].…”

Section: Verification Of the Nonlinear Eigensolver With Gyrotropic Mamentioning

confidence: 99%

“…His results are the basis for the calculation of the eigenmodes for the setup described above for a permeability tensor of the form (2.22) and a permittivity tensor as given in equation (2.42). Following the notation of [100], modes which become TE (TM) modes in the limit of vanishing κ and 2 are denoted as HE (EH) modes. The eigenfrequencies of HE and EH modes are the roots of the characteristic equation given in [101, p. 337], which can be calculated by standard numerical algorithms.…”

Section: Verification Of the Nonlinear Eigensolver With Gyrotropic Mamentioning

confidence: 99%

See 1 more Smart Citation

Computation of Complex Eigenmodes for Resonators Filled With Gyrotropic Materials

2015

View full text Add to dashboard Cite

Section: Verification Of the Nonlinear Eigensolver With Gyrotropic Mamentioning

confidence: 99%

Section: Verification Of the Nonlinear Eigensolver With Gyrotropic Mamentioning

confidence: 99%

Computation of Complex Eigenmodes for Resonators Filled With Gyrotropic Materials

2015

View full text Add to dashboard Cite

“…In the above, goes from 1 to and goes from 1 to , where and are the number of cells in the radial direction and direction, respectively. For a ferrite region, the constitutive relation between and can be written as (6) where is the magnetization vector which is related to through the equation of motion (7) where s T is the gyromagnetic ratio. 1) Azimuthal Magnetization: Assuming that the ferrite is biased in the direction, and using the small-signal approximation, (7) reduces to…”

Section: Assumingmentioning

confidence: 99%

Dispersion analysis of multilayer cylindrical transmission lines containing magnetized ferrite substrates

Dib¹,

Omar

2002

IEEE Trans. Microwave Theory Techn.

View full text Add to dashboard Cite

Recently, there has been a growing interest in using cylindrical transmission lines that contain magnetized ferrite material in a variety of applications. In this paper, the finite-difference time-domain (FDTD) method (in cylindrical coordinates) and the spectral-domain analysis (SDA) are used to calculate the propagation characteristics of cylindrical transmission lines that contain magnetized ferrite material. The magnetization can be either in the longitudinal or azimuthal directions. Specifically, the cylindrical microstrip line, and the cylindrical coplanar waveguide printed on magnetized ferrite substrate are analyzed. Both the FDTD and SDA results are in very good agreement. In addition, the results are compared to those of planar structures by taking the radius of the substrate to be large enough such that the curvature effect is negligible. Index Terms-Circular waveguide, coplanar waveguide, FDTD methods, ferrite loaded waveguides, microstrip, spectral-domain analysis. I. INTRODUCTION T HERE IS A growing interest in antennas that are printed on cylindrical substrates. These antennas may find applications in aircraft, missiles, and wireless communications due to their features of conformability, light weight, small size, and the geometrical compatibility to the vehicle they are mounted on. The use of ferrite substrates also adds more flexibility to the design of cylindrical antennas due to the effect of the applied dc magnetic field on the performance of the antenna. Ferrite materials are widely used in microwave applications, such as isolators, circulators, and phase shifters. Recently, there has been an increasing interest in studying cylindrical structures (circular waveguide and cylindrical microstrip antennas) containing magnetized ferrite media [1]-[6]. Specifically, the effects of anisotropy of ferrite coating on the radiation characteristics of cylindrical structures excited by elementary electric or magnetic dipoles have been investigated in [1]-[3]. The main advantage of a ferrite substrate is that the electrical parameters can be controlled by an externally applied magnetic field. Recently, the finite-difference time-domain (FDTD) technique has been extended to study the dispersion characteristics Manuscript received March 25, 2001.

show abstract

“…, by dividing 0 d r d R 0.1 mm into 17 equal sections, R 0.1 mm d r d R into 10, R d r d R d into 20, and R d d r d a into 10 in the r direction, and 0d z d t / 2 into 16 equal sect i o ns, t / 2 d z d t / 2 d i n to 20, t / 2 d d z d t / 2 H / 2 12 mm into 4, t / 2 H / 2 12 mm d z d t/2 + H/2 into 8, and t/2 + H/2 d z d t/2 + H/2 + d into20 in the z direction, we divided the analyzed region into a number of rectangles, and then subdivided a rectangle into two triangular elements. The number of triangular elements was 7112 due to the lack of elements in the region where R d d r and t / 2 d d z.…”

mentioning

confidence: 99%

Finite element analysis for complex permittivity measurement of a dielectric plate and its application to inverse problem

Hirayama¹,

Hayashi²

2001

Electron. Comm. Jpn. Pt. II

View full text Add to dashboard Cite

The resonant frequency and unloaded quality factor of a cylindrical cavity resonator are computed accurately by using the axisymmetric finite element method. Here the loss of both a dielectric sample and a shielding conductor is taken into account. A term with 1/r among the components of the finite element matrix is analytically integrated over a triangular ring quadratic element. Also, the inverse problem, that is, the estimation of the complex permittivity of a dielectric from a resonant frequency and an unloaded quality factor, is formulated and its usefulness is confirmed through some computed results for dielectric plates and deformed lossy sheets. © 2001 Scripta Technica, Electron Comm Jpn Pt 2, 84(5): 1019, 2001

show abstract

Determination of the eigenfrequencies of a ferrite-filled cylindrical cavity resonator using the finite element method

Cited by 12 publications

References 4 publications

Computation of Complex Eigenmodes for Resonators Filled With Gyrotropic Materials

Computation of Complex Eigenmodes for Resonators Filled With Gyrotropic Materials

Dispersion analysis of multilayer cylindrical transmission lines containing magnetized ferrite substrates

Finite element analysis for complex permittivity measurement of a dielectric plate and its application to inverse problem

Contact Info

Product

Resources

About