Theoretical approach to verify the resonance frequency of a square split ring resonator

Samanta, Susanta Kumar; Pradhan, R.; Syam, D.

doi:10.1364/josab.428743

Cited by 12 publications

(5 citation statements)

References 58 publications

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“…In the first step based on the literature review, an initial set of geometrical parameters was developed. Relationships from the paper [23] were used to develop the initial design. Then, this model was implemented and simulated in the COM-SOL Multiphysics environment.…”

Section: Thz Metasurface Design and Fabricationmentioning

confidence: 99%

Numerical Analysis of the Influence of Fabrication Process Uncertainty on Terahertz Metasurface Quality

et al. 2023

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The purpose of this paper was to investigate the influence of fabrication process uncertainty on terahertz metasurface quality. The focus was on the effect of metasurface fabrication inaccuracy on resonances. To the best of our knowledge, this is the first paper to study the effect of the metasurface fabrication process on its resonant frequency. The terahertz split ring resonator-based metasurface is under consideration. Using a numerical model, the influence of the uncertainty of various geometrical parameters obtained during the fabrication process (mainly layer deposition, photolithography, and etching processes) is analyzed according to the resonance of the designed metasurface. The influence of the following parameters causes a shift of resonant frequencies of the considered metasurface: etching deviation e, metallization thickness tAl and SiO2 layer thickness tSiO2. The quality of the metasurface affected by the variations of obtained geometrical parameters was determined by the deviation of resonant frequency Δfr. The developed numerical model was verified by THz-TDS (terahertz time-domain spectroscopy) measurements of the fabricated structure.

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Section: Thz Metasurface Design and Fabricationmentioning

confidence: 99%

Numerical Analysis of the Influence of Fabrication Process Uncertainty on Terahertz Metasurface Quality

et al. 2023

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“…Also, v is the free space light velocity. Again, the self-inductance of a single gap square-shaped SRR can be written as [22]where l and t are the side-length and width of the SRR, respectively. Further the capacitance of the single gap square-shaped SRR may be written as [22]where d and b are the thickness and split-gap of the SRR.…”

Section: Simulation Calculation and Analysis: Also Comparison Of Anal...mentioning

confidence: 99%

“…Again, the self-inductance of a single gap square-shaped SRR can be written as [22]where l and t are the side-length and width of the SRR, respectively. Further the capacitance of the single gap square-shaped SRR may be written as [22]where d and b are the thickness and split-gap of the SRR. Also, ɛ g is the effective dielectric constant of the substrate (on which the SRR is fabricated) for the capacitance associated with the split-gap and ɛ s is the corresponding quantity for the capacitance associated with the side-surface of the ring.…”

Section: Simulation Calculation and Analysis: Also Comparison Of Anal...mentioning

confidence: 99%

See 2 more Smart Citations

Lagrangian formulation to investigate the effect of coupling on resonant microstrip transmission line

Samanta

Pradhan

Syam

2022

Int. J. Microw. Wireless Technol.

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An analytical and a numerical study on coupling in microstrip transmission line (MTL) are reported for different split-gap orientations of a single gap square-shaped split-ring resonator (SRR). Taking both magnetic and electric couplings and adopting Lagrangian formulation for this coupled system, mathematical relations are found for each orientation of SRR to determine the connection between coupling co-efficient and resonant mode frequency. It is shown that coupling results in higher resonance frequency when the SRR, with parallel split-gap, has the gap far from the MTL. But, a lower resonance frequency is obtained when the SRR is placed at shorter distances with parallel split-gap near to the MTL. Again, for perpendicular split-gap orientation of SRR, the resonant frequency is found in terms of an effective coupling co-efficient; at shorter distances it is found to be lower than the fundamental resonance frequency of uncoupled SRR and an opposite effect is obtained at longer distances. Using CST Microwave Studio, the resonance frequency for each split-gap orientation of SRR is also studied as a function of separation between MTL and SRR. It is observed that this phenomenon strongly depends on SRR side-length, substrate height, and separation between MTL and SRR.

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Deciphering split ring resonators: understanding theoretical validation and simulation implications

Mishra,

Singh,

Agrawal

2024

Eng. Res. Express

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This study presents a comparative analysis of analytical calculations and simulation results of a single-ring split ring resonator (SRR). A simulated SRR made of aluminum, designed in high frequency structure simulator (HFSS), with the resonant frequency of 3.97 GHz with transmission loss of -47.7 dB. The initial gap, width, and thickness of the ring are set at 1mm, 1mm, and 3mm, respectively. These geometrical parameters are subsequently varied in simulations, and theoretical calculations are conducted for each variation using Python 3.10 code to facilitate comparative analysis. The analytical calculations reveal certain limitations in accurately modeling the impact of fringing and radiation, particularly when dealing with smaller dimensions. Although there exist slight disparities between the simulated and calculated outcomes, it is evident that the theoretically derived results exhibit a close correspondence with simulated responses, particularly for dimensions that are not excessively small. This observation underscores the confirmation that an augmentation in the gap of the Split Ring Resonator (SRR) leads to an elevation in the resonant frequency. Furthermore, by maintaining a constant inner radius and adjusting the outer radius to modulate the width of the SRR, a decrease in the resonant frequency is noted with an increase in the width of the metallic ring. Similarly, an increase in the thickness of the ring contributes to a reduction in the resonant frequency This comprehensive investigation provides a valuable methodology for corroborating theoretically derived results with simulation data. Additionally, the research underscores the diverse resonances that can be achieved by fine-tuning the gap, width, and thickness of the split ring resonator, highlighting the significance of selecting these dimensions carefully to attain specific resonant frequencies.

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Theoretical approach to verify the resonance frequency of a square split ring resonator

Cited by 12 publications

References 58 publications

Numerical Analysis of the Influence of Fabrication Process Uncertainty on Terahertz Metasurface Quality

Numerical Analysis of the Influence of Fabrication Process Uncertainty on Terahertz Metasurface Quality

Lagrangian formulation to investigate the effect of coupling on resonant microstrip transmission line

Deciphering split ring resonators: understanding theoretical validation and simulation implications

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