Analysis of the Electromagnetic Interaction Between Periodically Corrugated Transmission Lines Through the Mutual Capacitance and Mutual Inductance

Wu, Chia Ho; Zhou, Guobing; Ma, Peixun; Wu, Yi-Liang; Li, Kejun; Shen, Linfang; Shen, Qian; Zhang, Hang; Yan, Jun; You, Yun; Shen, Jing; Wang, Xiaolong; Chang, Chin-Chih; He, Fang

doi:10.1109/access.2022.3143812

Cited by 8 publications

(7 citation statements)

References 26 publications

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“…On the other hand, the current flowing on the surface of the metal grooves is more able to attract the magnetic field lines into the grooves than in the case of long lattice constant, that is, an increase in the number of grooves corresponds to an increase in self-inductance per unit length. It can also be seen from the literature on periodic microstrip lines [18] that the reduction of lattice constant d helps to increase the self-inductance of microstrip lines. The electric field distribution of the staggered periodic metal diaphragm structure at β = 0.3 × (2π/d) and the leaky-wave frequency of f = 13.31151 GHz is shown in Fig.…”

Section: Theoretical Analysismentioning

confidence: 99%

“…Due to the periodic arrangement of metal or dielectric mediums in space, the transmission of electromagnetic waves in periodic structures is similar to the forbidden band formed by electrons in periodically arranged atoms in semiconductors. Metal or materials with different refractive indexes are periodically distributed in space to form materials with band gaps similar to semiconductors [18]- [22]. Many recent artificial materials are composed of a number of continuously distributed periodic units.…”

Section: Introductionmentioning

confidence: 99%

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A Direct Near-Field Observation of Conversion Between Waveguide Modes and Leaky Modes in Periodic Metal Structures

Qian

Wang

et al. 2023

IEEE Access

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In order to directly observe the conversion between guided-wave modes and leaky-wave modes in a periodic structure, quadrilateral periodic metal diaphragms arranged in two ways on metal surfaces were analyzed. In the first scheme, each unit cell in the periodic structure contains a metal diaphragm, of which the dispersion characteristics of periodic structures were analyzed by the finite element method. The results of the numerical show that by adjusting lattice constants of periodic structures and geometrical parameters of metal diaphragms, the transmission bandwidth of the present 1-D periodic metal diaphragm structures could be limited to X-band, where the transmission characteristics are easy to be measured. In the second scheme, a pair of mirror-symmetric and staggered quadrilateral metal diaphragms is introduced into a unit cell. It can be found in the theoretical calculation that a new dispersion curve, which passes through the light line in a high frequency range, can be exhibited. The propagation constants of dispersion curves become complex numbers and provide highly directional electromagnetic radiation that scans as the frequency changes. After the relative positions of the two metal diaphragms were properly adjusted, the frequency range of the forbidden band gap between two dispersion curves can be minimized, so as to increase the transmission bandwidth of the 1-D periodic metal structures. The experimentally measured show that the dispersion curves of the two periodic structures were highly consistent with the theoretical results. The narrowing of the band gap could be verified by measuring the S-parameters. The near-field measurement of the periodic metal structures can demonstrate the conversion between the guided-wave modes and the leaky-wave modes, and the far-field measurement can show the frequency dependence of beam elevation. We expect that these artificial material structures could be widely used for designing new microwave and terahertz band devices. INDEX TERMS periodic metal structures, leaky mode, transmission lines

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Section: Theoretical Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Direct Near-Field Observation of Conversion Between Waveguide Modes and Leaky Modes in Periodic Metal Structures

Qian

Wang

et al. 2023

IEEE Access

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“…The circuit parameters of the periodic microstrip line are extracted under the quasi-static approximation [30,31]. In addition, in the literature, some references [32][33][34] and microwave engineering standard textbooks [26,27] also provided the methods for calculating the equivalent circuit parameters of transmission lines.…”

Section: Theoretical Analysismentioning

confidence: 99%

Time domain response of corrugated transmission lines

Wu,

Wang,

Peng

et al. 2023

IET Microwaves Antenna & Prop

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In order to employ periodic corrugated microstrip lines for reducing or suppressing electromagnetic interference in high‐speed or high‐frequency circuits, a precise method is necessary to calculate and measure the characteristic impedance of periodic microstrip lines. The equation for characteristic impedance (depending on frequency) of lossless periodic microstrip lines was obtained based on the transfer matrix method. A time domain pulse was used to measure the instantaneous impedance of conventional microstrip lines, and when the instantaneous impedance does not change with distance, it can be identified as the characteristic impedance of microstrip lines. However, when the time‐domain pulses are employed to measure the instantaneous impedance of periodic microstrip lines, rapid oscillations occur with distance. Therefore, a standard for spacing between adjacent grooves in the microstrip line can be suggested by analysing the interaction between the time‐domain pulses and the microstrip line grooves. Once such a standard is satisfied, many grooves etched along the microstrip line would no longer be distinguished by the time‐domain pulses. Such a principle and method can be used to determine the instantaneous impedance for the microstrip lines that have periodic grooves. On the other hand, when several periodic structures with different lattice constants coexist on a microstrip line, they can also be distinguished via the instantaneous impedance. A time domain reflectometer was used for measuring the instantaneous impedance of periodic microstrip lines, and the measured results are in agreement with the theoretical analysis.

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“…Alternatively, the values for the elements of the equivalent circuit can be derived from measurement data (Yan et al , 2021). Furthermore, it is feasible to determine the equivalent circuit parameters through the relation of them to the even and odd modes (Wu et al , 2022). Besides this, a method for calculating the EM coupling coefficients is presented in Petrov et al (2021).…”

Section: Introductionmentioning

confidence: 99%

An efficient modeling approach of 1D-planar metamaterials in the high-frequency regime

Schiemer

Reum²,

Toepfer³

2023

COMPEL

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Purpose The purpose of this paper is to present an alternative modeling approach in terms of the determination of a physically equivalent circuit model for one-dimensional (1D) planar metamaterials in the high-frequency regime, without a postprocessing optimization procedure. Thereby, an efficient implementation of physical relationships is aimed. Design/methodology/approach In this paper, a method based on quasi-stationary simulations and mathematical conversions to derive the values for a physically equivalent circuit model is proposed. Because the electromagnetic coupling mechanisms are investigated in detail, a simplification for the considered multiconductor transmission line structure is achieved. Findings The results show that the proposed modeling approach is an efficient and physically meaningful alternative to classical full-wave simulation techniques for the investigated inhomogeneous transmission line structure in both the time domain as well as in the frequency domain. In the course of this, the effort is reduced while a comparable accuracy is maintained, whereby specific coupling mechanisms are considered in circuit simulations. Originality/value The process to obtain information about physically interpretable lumped element values for a given structure or to determine a layout for known ones is simplified with the aid of the proposed approach. An advantageous adaption of the presented procedure to other areas of application is well conceivable.

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Analysis of the Electromagnetic Interaction Between Periodically Corrugated Transmission Lines Through the Mutual Capacitance and Mutual Inductance

Abstract: an), Hai-Hui Zha and Hao Feng (Keysight CO., LTD, Shanghai), Lei Shi (Ceyear Techologies CO., LTD, Qingdao) for their helpful discussions. We also thank Professors Jianqing Shi and Qiang Lin for helping establishing the microwave easurement laboratory.

Cited by 8 publications

References 26 publications

A Direct Near-Field Observation of Conversion Between Waveguide Modes and Leaky Modes in Periodic Metal Structures

A Direct Near-Field Observation of Conversion Between Waveguide Modes and Leaky Modes in Periodic Metal Structures

Time domain response of corrugated transmission lines

An efficient modeling approach of 1D-planar metamaterials in the high-frequency regime

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