This work presents a two-dimensional (2-D) study of the modal spectrum of a single microstrip and a pair of coupled microstrip lines with an upper dielectric half-space. This 2-D study is postulated as the necessary step previous to the 3-D investigation of the potential applications of leaky-wave antennas radiating in an environment...
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June 7, 2018 (v1)PublicationUploaded on: March 27, 2023
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May 27, 2020 (v1)Publication
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...
Uploaded on: December 5, 2022 -
June 2, 2020 (v1)Publication
A fully analytical solution for the scattering of a uniform TE polarized plane wave by an infinite periodic printed array of narrow slits is provided in this contribution. The model is based on some simplifications made on the formulas arising from a rigorous full-wave formulation. The present approach gives the topology of the transverse...
Uploaded on: December 4, 2022 -
June 5, 2018 (v1)Publication
This paper proposes an equivalent circuit model that uses lumped elements and transmission lines to explain the transmission of electromagnetic waves through a conducting screen periodically perforated with slits and sandwiched between two different dielectric slabs. The present model relies on the impedance-matching point of view, previously...
Uploaded on: December 5, 2022 -
October 5, 2020 (v1)Publication
In the study of electromagnetic wave propagation and scattering, researchers have always faced the dichotomy of dealing directly with Maxwell's equations (and their complicated analytical/numerical solution methods) or trying to find a simplified model (usually in terms of an equivalent circuit) that can help provide some physical insight into...
Uploaded on: December 4, 2022 -
May 28, 2018 (v1)Publication
In this presentation it will be discussed how to obtain analytical or quasi-analytical equivalent circuits to deal with periodic structures such as frequency selective surfaces and/or metasurfaces. Both the topology and the values of the involved elements of these circuits are obtained from a basic rationale to solve the corresponding integral...
Uploaded on: March 27, 2023 -
June 6, 2018 (v1)Publication
The phenomenon of extraordinary optical transmission (EOT) through electrically small holes perforated on opaque metal screens has been a hot topic in the optics community for more than one decade. This experimentally observed frequency-selective enhanced transmission of electromagnetic power through holes, for which classical Bethe's theory...
Uploaded on: December 4, 2022 -
October 4, 2018 (v1)Publication
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 thiswork. In thesemethods, full-wave simulations of finite sections of the periodic structure are combined with appropriate...
Uploaded on: December 4, 2022 -
June 26, 2020 (v1)Publication
The discrete complex image technique, originally developed to deal with three-dimensional planar structures, has been recently applied to two-dimensional planar and nonplanar transmission lines embedded in layered substrates. In spite of successive refinements, some important practical issues concerning the sampling path, treatment of spectral...
Uploaded on: December 4, 2022 -
June 4, 2018 (v1)Publication
This paper presents a very simple analytical model for the analysis of the resonant transmission of microwaves or millimeter waves through periodically distributed slits in a thick metal screen. The model is based on equivalent circuits consisting of transmission line elements of known characteristic admittances and propagation constants loaded...
Uploaded on: March 27, 2023 -
May 22, 2020 (v1)Publication
This paper presents an eigenproblem for computing the resonances of multiresonant irislike discontinuities in waveguides. The formulation of the eigenproblem is based on integral equation methods, and its solution provides the resonance frequencies (eigenvalues) and the associated resonant aperture field's patterns (eigenvectors). These...
Uploaded on: March 27, 2023 -
June 28, 2022 (v1)Publication
A hybrid method that combines the results of a commercial simulator with analytical postprocessing is discussed and used to compute the dispersion diagrams of periodic structures. The method takes advantage of the ability of commercial simulators to deal with arbitrary geometries and materials and overcomes some of their limitations to compute...
Uploaded on: March 25, 2023 -
May 26, 2020 (v1)Publication
Metallic compound gratings are studied in this work by means of an analytical equivalent circuit approach in order to obtain its transmission and reflection properties when illuminated by a TM-polarized plane wave. A compound grating consists of the periodic repetition of a finite number of slits carved out of a thick metal slab (reflection...
Uploaded on: March 27, 2023 -
May 29, 2018 (v1)Publication
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...
Uploaded on: December 4, 2022 -
June 2, 2020 (v1)Publication
This paper presents a fully analytical model to determine the transmission and reflection properties of planar 1-D distributions of metal strips or slits made in thin metal screens. In contrast with other analytical or quasi-analytical approaches, the formulation incorporates the presence of dielectric slabs and is valid over a wide frequency...
Uploaded on: March 27, 2023 -
May 30, 2018 (v1)Publication
Solid metal films are well known to be opaque to electromagnetic waves over a wide frequency range, from low frequency to optics. High values of the conductivity at relatively low frequencies or negative values of the permittivity at the optical regime provide the macroscopic explanation for such opacity. In the microwave range, even extremely...
Uploaded on: December 4, 2022 -
May 29, 2020 (v1)Publication
This contribution provides a fully analytical transmission-line circuit model for the transmission/reflection of an obliquely incident plane wave by a periodic array of printed dipoles. The topology of the equivalent circuit is rigorously derived in the analysis. In contrast with previously reported circuit models, the proposed approach...
Uploaded on: December 4, 2022 -
May 28, 2020 (v1)Publication
An analytical circuit model is obtained to study the reflection of TM polarized electromagnetic waves that impinge obliquely on a 1-D periodic corrugated surface consisting of dielectric-loaded T-shaped planar corrugations backed by an infinite ground plane. The model is based on transmission line theory and equivalent lumped-element circuits....
Uploaded on: March 27, 2023 -
June 3, 2020 (v1)Publication
This paper presents a quasi-analytical approach to study the classic topic of transmission/reflection of electromagnetic waves through 1-D periodic arrays of strips/slits in metal screens. The approach is based on standard waveguide discontinuity theory. Starting from field equations, it is inferred a circuit-like reduced-order model with just...
Uploaded on: March 27, 2023 -
May 25, 2020 (v1)Publication
A 2-D periodic array of annular apertures (or ring slots) is studied using an accurate circuit model. The model accounts for distributed and dynamic effects associated with the excitation of high-order modes operating above or below cutoff but not far from their cutoff frequencies. This paper allows to ascertain the substantial differences of...
Uploaded on: March 27, 2023 -
May 29, 2020 (v1)Publication
This work presents a rigorous circuit model to compute the transmission/reflection properties of a finite number of stacked slit gratings printed on dielectric slabs of arbitrary thickness. A key aspect of the present approach is that the circuit model itself leads us to find fully analytical expressions for the finite stacked-grating...
Uploaded on: December 4, 2022 -
May 22, 2020 (v1)Publication
The equivalent circuit approach (ECA) is used in this work to analyze and design a previously proposed one-dimensional planar blazed grating of the resonant type. The analysis covers both the classical Littrow configuration, when the direction of the relevant diffracted order coincides with that of the incident wave (Bragg blazing), and when...
Uploaded on: March 27, 2023 -
May 26, 2020 (v1)Publication
This communication extends a previously reported analytical circuit that models the plane wave scattering by 2-D arrays of planar patches/apertures embedded in a layered media. In this extension, it is assumed that the current/electric field spatial profile in the patch/aperture region can directly be taken from the eigenfields of a waveguide...
Uploaded on: December 4, 2022 -
May 30, 2018 (v1)Publication
A wideband equivalent circuit is proposed for the accurate analysis of scattering from a set of stacked slit gratings illuminated by a plane wave with transverse magnetic or electric polarization that impinges normally or obliquely along one of the principal planes of the structure. The slit gratings are printed on dielectric slabs of arbitrary...
Uploaded on: March 27, 2023