A modified finite element method for analysis of finite periodic structures

Chung, Shyh‐Jong; Chen, Jiunn-Lang

doi:10.1109/22.297819

IEEE Trans. Microwave Theory Techn.

1994

DOI: 10.1109/22.297819

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A modified finite element method for analysis of finite periodic structures

Shyh‐Jong Chung

Jiunn-Lang Chen

Abstract: A modified finite element method with new solving algorithm is proposed to analyze electromagnetic problems of finite periodic structures. Dielectric-loaded parallel-plate waveguides with rectangular and triangular dielectric gratings are tackled as an example of the present approach. Numerical results are checked by the self-convergence test and by comparing with those obtained by other methods. Finally, the dependence of the scattering parameters on the frequency, the period number, and the grating height is… Show more

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Cited by 12 publications

References 11 publications

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An equivalent network method for the analysis of nonuniform period structures

1997

Microw. Opt. Technol. Lett.

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tive reactance contributed from the shorting pin and the w x probe; thus a wider antenna bandwidth could be achieved 4 .The radiation patterns for the compact antenna with l s d are presented in Figure 4. It is seen that the radiation patterns remain broadside. Figure 5 shows the case for the Ž . antenna without slots l s 0 , where the patch resonates at about 1.923 GHz. Similar broadside radiation is also observed. However, because of the increase of the patch surface current component perpendicular to the main excitation diw x rection 3 , the cross-polarization radiation in the H plane is Ž . increased cf. Figures 4 and 5 . On the other hand, the cross-polarization level in the E-plane is still in an acceptable level of less than y20 dB. Finally, it should also be noted that, due to the antenna size reduction, the antenna gain of a compact microstrip antenna will be lower than that of a conventional microstrip antenna operated at the same frew x quency 2 . CONCLUSIONSThe design of a compact meandered circular microstrip antenna with a shorting pin has been described. Experimental results have been presented and discussed. Results indicate that, by combining short-circuiting and meandering of the circular patch, the antenna size can be reduced to be less than 10% that of a conventional circular microstrip antenna operated at the same frequency. This great reduction in antenna size makes it useful for applications where antenna size is a major concern.

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An equivalent network method for the analysis of nonuniform period structures

1997

Microw. Opt. Technol. Lett.

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A memory efficient discontinuous galerkin finite-element time-domain scheme for simulations of finite periodic structures

Chen

2014

Microw. Opt. Technol. Lett.

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nm, respectively. The sensitivity increased according to the bimetal length. The wavelength shifts of 150 and 200 mm FBGs are not as linear as the other. It is because the bimetallic strips were not sufficiently longer than the deflection to satisfy the condition in Eq. (2), d(2) 2 << L 2 . CONCLUSIONTo improve the temperature sensitivity of FBG sensor, we propose to use a bimetallic strip as a transducer, which converts a temperature change to mechanical strain; hence an FBG sensor was attached on a bimetallic strip. With temperature change, the bimetallic strip is deflected and the FBG sensor attached to it is strained, resulting in the substantial strain-induced wavelength shift in addition to the original temperature-induced one. From the experimental results, the Bragg wavelength shift ratio of the proposed sensor against the temperature change has been greatly increased more than four times larger than that of the intrinsic FBG sensor. The sensitivity enhancement has been theoretically and experimentally investigated.The suggested sensor could be used to measure the temperature distribution of large structures, such as large capacity offshore wind turbines. The high sensitivity of the suggested sensor could greatly reduce the requirement of the demodulation system, such as measurement resolution. This will surely be helpful to achieve and maintain more cost-effective and robust temperature sensor systems.

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Whitney face elements for the analysis of periodic structures using arbitrary meshes

Ouchetto

Essakhi²,

Andaloussi

2020

IET Science, Measurement &Amp; Technology

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Periodic boundary conditions are a set of boundary conditions that are often used to simulate large periodic structures by analysing an elementary cell. To enforce these boundary conditions over the side surfaces, the classical method requires identical meshes on opposite faces. This condition is not always easy to satisfy for arbitrary meshes. In this study, the authors introduce a new method to impose the periodic boundary conditions on an arbitrary mesh in the finite-element method using the second-order Whitney elements. This method is applied for computing the magnetic induction and it is based on two steps. The first one consists in expressing the magnetic induction flux through a facet (triangle) on a face as a function of the flux of the associated facets on the opposite face. In the second step, the periodic relations are introduced in the finite-element system. To show the effectiveness of the proposed method, the numerical results are presented and compared with those of the classical method.

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A modified finite element method for analysis of finite periodic structures

Cited by 12 publications

References 11 publications

An equivalent network method for the analysis of nonuniform period structures

An equivalent network method for the analysis of nonuniform period structures

A memory efficient discontinuous galerkin finite-element time-domain scheme for simulations of finite periodic structures

Whitney face elements for the analysis of periodic structures using arbitrary meshes

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