Solving the Cut-Off Wave Numbers in Partially filled Rectangular Waveguides with Ferrite by the Cauchy Integral Method

Peñaranda‐Foix, Felipe L.; Contelles‐Cervera, Miguel; Plaza-Gonzalez, P.J.; Catalá-Civera, J.M.

doi:10.1109/aps.2005.1552090

Cited by 2 publications

(2 citation statements)

References 16 publications

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“…This root finder fits the specifications of the problem perfectly, though there are others that can also be employed to solve the characteristic equations successfully, such as those using the Cauchy's argument principle [15]. The main advantage of the root finder employed in this work is the low computational cost and high accuracy that it provides.…”

Section: Chebyshev's Root Findermentioning

confidence: 96%

Fast and Accurate Determination of the Complex Resonant Frequency of a Multilayer Circular Cavity Using Chebyshev's Root-Finder

Marques-Villarroya¹,

Peñaranda‐Foix²,

García-Baños³

et al. 2017

PIER M

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Abstract-In this paper, a general multilayer circular cavity with N slabs is analyzed analytically, obtaining characteristic equations for TE and TM modes to compute the complex resonant frequency efficiently using an algorithm based on Chebyshev's root finder. The accuracy of the solutions is compared with full-wave circuit method, and the computational speed to achieve the roots of the characteristic equations is also compared with Cauchy Integral Method, which is commonly used to obtain complex roots. Furthermore, the relationship between the amplitudes of the different regions is obtained, whereby the whole structure can be analyzed as a single one from now on.

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Section: Chebyshev's Root Findermentioning

confidence: 96%

Fast and Accurate Determination of the Complex Resonant Frequency of a Multilayer Circular Cavity Using Chebyshev's Root-Finder

Marques-Villarroya¹,

Peñaranda‐Foix²,

García-Baños³

et al. 2017

PIER M

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“…Felipe L et al [11] presented an efficient root-finder method for the cutoff wave-number resolution in a rectangular partially filled waveguide based upon the Cauchy integral method.…”

Section: Introductionmentioning

confidence: 99%

Characterization of Rectangular Waveguides Loaded E-Plane Dielectrics Using the Newton-Raphson Method

Moukengue,

Tsahat,

Gakosso

et al. 2024

AJEA

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Homogeneous metallic waveguides have long been used to carry high powers. They are often filled with inhomogeneous, isotropic dielectrics to reduce their size and cut-off frequencies. To characterize these inhomogeneous rectangular waveguides made of homogeneous and isotropic media, the Newton-Raphson method is used in this article. Frequency of cutoff, attenuation, and power flow distribution are all properties of the EM wave that are highly dependent on the physical structure and composition within the guide. This article presents the characterization of an inhomogeneous and isotropic rectangular guide. The analysis of this type of guide is based on the Borgnis potential method for determining the components of the electric field E and the magnetic field H, to obtain the guide's dispersion equations. The modes that were found to exist in these waveguides are hybrid, meaning that they have both axial E- and H-fields. Numerical resolution of these equations using the Newton-Raphson method obtains the guide's propagation constants. A MATLAB program is used to plot these dispersion curves. The propagation constant increases as a function of frequency, and the d/a ratio influences the dispersion curves. Increasing the relative permittivity of the dielectric leads to an increase in the ratio of the propagation constant in the z direction to the wave number.

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Solving the Cut-Off Wave Numbers in Partially filled Rectangular Waveguides with Ferrite by the Cauchy Integral Method

Cited by 2 publications

References 16 publications

Fast and Accurate Determination of the Complex Resonant Frequency of a Multilayer Circular Cavity Using Chebyshev's Root-Finder

Fast and Accurate Determination of the Complex Resonant Frequency of a Multilayer Circular Cavity Using Chebyshev's Root-Finder

Characterization of Rectangular Waveguides Loaded E-Plane Dielectrics Using the Newton-Raphson Method

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