Characterization of Waveguides With a Combination of Conductor and Periodic Boundary Contours: Application to the Analysis of Bi-Periodic Structures

Varela, J. E.; Esteban, Jaime

doi:10.1109/tmtt.2011.2180734

Cited by 19 publications

(14 citation statements)

References 32 publications

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“…Thus, in every of the above mentioned problems we can identify a basic propagation and/or radiation problem involving discontinuities in a generalized waveguiding system subject to periodic boundary conditions. The waveguiding system can be a standard metallic waveguide [2], a generalized waveguide [13,14] (as the one typically found in the treatment of FSSs [15,16]), printed lines [7,17], substrate integrated waveguides [18][19][20], etc. The periodic boundary conditions can appear either in the walls of the waveguiding system (transverse periodicity) and/or along the propagation direction (longitudinal periodicity).…”

Section: Introductionmentioning

confidence: 99%

On the Computation of the Dispersion Diagram of Symmetric One-Dimensionally Periodic Structures

2018

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A critical discussion on the computation of the dispersion diagram of electromagnetic guiding/radiating structures with one-dimensional periodicity using general-purpose electromagnetic simulation software is presented in this work. In these methods, full-wave simulations of finite sections of the periodic structure are combined with appropriate simplifying network models. In particular, we analyze the advantages and limitations of two different combined methods, with emphasis on the determination of their range of validity. Our discussion is complemented with several selected numerical examples in order to show the most relevant aspects that a potential user of these methods should be aware of. Special attention is paid to the relevant role played by the high-order coupling between adjacent unit cells and between the two halves of unit cells exhibiting reflection, inversion, and glide symmetries.

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Section: Introductionmentioning

confidence: 99%

On the Computation of the Dispersion Diagram of Symmetric One-Dimensionally Periodic Structures

2018

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“…Certainly, for TM incidence, the admittances in (20) and (21) become capacitive and, for TE incidence, they become inductive. The final version of the equivalent circuit for both TM and TE incidence is illustrated in Fig.…”

Section: A Equivalent -Circuit Topology For Two Different Aligned Comentioning

confidence: 99%

“…The analysis of the electrical response of periodic electromagnetic structures requires the solution of Maxwell's equations subject to the appropriate boundary conditions in a single unit cell of the structure. In general, the boundaries that define the unit cell in the numerical or analytical solution of the problem are periodic boundary conditions (PBCs) [20], which can become perfect electric or magnetic conductor virtual boundaries for normal incidence and highly symmetrical scatterers. This fact immediately suggests that the scattering properties of the infinite periodic electromagnetic structure can be formulated as a discontinuity waveguide problem, as it has been done, for instance, to analyze extraordinary optical transmission through periodic arrays of electrically small apertures in a metal slab [21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Wideband analytical equivalent circuit for coupled asymmetrical nonaligned slit arrays

et al. 2017

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Microstructured metallic devices have been extensively studied because of their interesting properties for controlling the transmission, reflection, and absorption of electromagnetic waves. A very simple implementation is an array of infinitely long parallel metal strips printed on a dielectric substrate. In the past few years, several analytical models have been reported based on the use of equivalent circuits with distributed and lumped components to account for the electrical performance of these structures. However, the proposed models are restricted to highly symmetrical configurations of the basic unit cell of the periodic structure. The purpose of this paper is to present the nontrivial extension of such circuit models to deal with nonsymmetrical structures. More specifically, a wideband equivalent-circuit model will be developed to describe the scattering properties of a pair of coupled different nonaligned slit gratings printed on a dielectric slab of arbitrary thickness. The relevant consequences of the lack of symmetry of the structures under study will be thoroughly discussed. The obtained equivalent network can be straightforwardly used to model stacked structures with an arbitrary number of nonsymmetrical striplike arrays.

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“…This unit-cell problem can alternatively be seen as a discontinuity problem in a rectangular waveguide with periodic boundary conditions. The harmonics of the Floquet analysis can thus be regarded as the modes of the generalized waveguide [59], so that a microwave network approach [39] can be applied. Next, the derivation of the circuit models is carried out separately for slot-and patch-based FSS.…”

Section: Formal Derivation Of the Equivalent Networkmentioning

confidence: 99%

Analytical Multimodal Network Approach for 2-D Arrays of Planar Patches/Apertures Embedded in a Layered Medium

Rodríguez-Berral

Mesa

Medina

2015

IEEE Trans. Antennas Propagat.

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A fully analytical multimodal equivalent circuit is presented for the modeling of the scattering of an obliquely incident plane wave by a two-dimensional (2-D) periodic array of metallic patches (or apertures in a metallic screen) embedded in a layered medium. The topology of the equivalent network is rigorously derived in the analysis and all the network parameters are given in closed form. In contrast with the previously reported explicit circuit models, the proposed approach accounts for dynamical effects over a very wide frequency range, which enables the application of the model to a great variety of situations.The key advantages of the reported multimodal network representation are its analytical nature, its extremely low-computational cost and that the physical phenomena involved in the scattering can be easily understood in terms of transmission line and lumped circuital reasonings.

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Characterization of Waveguides With a Combination of Conductor and Periodic Boundary Contours: Application to the Analysis of Bi-Periodic Structures

Cited by 19 publications

References 32 publications

On the Computation of the Dispersion Diagram of Symmetric One-Dimensionally Periodic Structures

On the Computation of the Dispersion Diagram of Symmetric One-Dimensionally Periodic Structures

Wideband analytical equivalent circuit for coupled asymmetrical nonaligned slit arrays

Analytical Multimodal Network Approach for 2-D Arrays of Planar Patches/Apertures Embedded in a Layered Medium

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