Francisco Mesa

Universidad de Sevilla, Applied Physics 1, Faculty Member

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Address: Seville, Andalusia, Spain

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Andrej Dujella

University of Zagreb

Hemin Koyi

Uppsala University

Jana Javornik

University of East London

Graham Martin

University of Leicester

Gwen Robbins Schug

University of North Carolina at Greensboro

Gabriel Gutierrez-Alonso

University of Salamanca

John Sutton

Macquarie University

Eros Carvalho

Universidade Federal do Rio Grande do Sul

Kevin Arbuckle

Swansea University

Jesper Hoffmeyer

University of Copenhagen

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Papers by Francisco Mesa

Comments on the (quote)Criterion of leakage from printed circuit transmission lines(quote)

Erratum: Nonreciprocal propagation characteristics of transversely magnetised metal–insulator–semiconductor coplanar waveguides

Electron Lett, 1992

LASERS, OPTICS, AND OPTOELECTRONICS 161101 "Rainbow" trapped in a self-similar coaxial optical waveguide (3 pages)

Design of ultra-wide bandpass filter using hybrid microstrip/CPW structure

2009 European Microwave Conference, 2009

The aim of this paper is to propose a new simple design of a ultra-wide bandpass filter (3.1 to 1... more The aim of this paper is to propose a new simple design of a ultra-wide bandpass filter (3.1 to 10.6 GHz) based on the cascading of a low pass and a high pass section. They are separately designed using convenient structures leading to compactness and easy fabrication. A stepped impedance structure providing elliptic response has been used for the low

Design of ultra-wide bandpass filter using hybrid microstrip/CPW structure

2009 European Microwave Conference, 2009

Wideband analytical equivalent circuit for coupled asymmetrical nonaligned slit arrays

Physical Review E, 2017

Microstructured metallic devices have been extensively studied because of their interesting prope... more 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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Differential transmission line for common-mode suppression using double side MIC technology

2011 41st European Microwave Conference, 2011

Multipole accelerated macro basis functions analysis of printed antenna arrays

Proceedings of the 5th European Conference on Antennas and Propagation, Apr 11, 2011

ABSTRACT This paper presents a multipole expansion for the layered media Green&#39;s function... more ABSTRACT This paper presents a multipole expansion for the layered media Green&#39;s function (GF). It is obtained thanks to a closed-form expression of the GF as a finite sum of Hankel functions. This multipole expansion can be introduced in the framework of Mixed-Potential Integral Equation (MPIE) formulations and solved with the Method-of-Moments (MoM). Then, when applying the Macro Basis Function (MBF) technique, one can exploit the aforementioned expansion in order to provide a fast evaluation of the reaction integrals between the set of MBFs considered for the array radiating element. Moreover, the size reduction of the MoM system of equations achieved using MBFs, allows one to save resources in terms of memory and solution time.

Complex modes in periodic transmission lines based on split rings

2013 International Conference on Electromagnetics in Advanced Applications, Sep 1, 2013

ABSTRACT This paper is focused on the analysis of the propagation characteristics of periodic str... more ABSTRACT This paper is focused on the analysis of the propagation characteristics of periodic structures consisting of a host line loaded with split ring resonators (SRRs). It is well known that these structures exhibit stop band functionality in the vicinity of the resonance frequency of the SRRs, and propagation is forward in the transmission bands. However, by enhancing inter-resonators&#39; coupling the forbidden band widens and this enhancement can be interpreted as due to the presence of complex modes. This has been demonstrated through Bloch mode analysis of the multiport equivalent circuit model of the unit cell.

$Research paper thumbnail of Microstrip circuit analog to illustrate extraordinary transmission through compound diffraction gratings$

Microstrip circuit analog to illustrate extraordinary transmission through compound diffraction gratings

2009 European Microwave Conference, 2009

This contribution presents a microstrip implementation of a system exhibiting an electromagnetic ... more This contribution presents a microstrip implementation of a system exhibiting an electromagnetic response that mimics the response of compound diffraction gratings investigated in the optics community. The transmission response of periodic structures of this kind has attracted a lot of attention in the frame of the so called extraordinary transmission phenomena. Recently, some of the authors have developed physical explanations based on standard transmission line and waveguide theory. This paper shows that, conversely, phenomena observed in the optics frame can be replicated with transmission line and circuit analogs. The identification of such analogies are very fruitful for the understanding of the phenomena but also for the development of design strategies to build practical devices based on such phenomena. This paper shows circuit analogs, traditionally used to explain many physical phenomena, providing physical insight and a pedagogical introduction to extraordinary transmission phenomena.

A contribution to the efficient computation of multilayered periodic Green's functions

Proceedings of the 5th European Conference on Antennas and Propagation, Apr 11, 2011

In this paper we compare two techniques for the efficient computation of the infinite series that... more In this paper we compare two techniques for the efficient computation of the infinite series that lead to the off- diagonal elements of the vector potential dyadic periodic Green's function in multilayered media. It is shown that the technique based on the combined use of the generalized pencil of functions (GPoF) and Ewald's method is the fastest technique, but is not accurate when the distance between the field point and the sources approaches zero. To avoid this problem, we present a novel technique based on the combined use of the GPoF and the spectral Kummer-Poisson's method, which is only slightly slower than the former technique and turns out to be accurate in the whole range of distances between the field point and the sources. I. INTRODUCTION The analysis of periodic structures in multilayered media is essential to the design of frequency selective surfaces (1), (2) and microwave circuits enclosed by rectangular shields (3), (4). One of the most popular techniques for the electro- magnetic analysis of multilayered periodic structures is the application of the method of moments (MoM) to the solution of mixed potential integral equations (MPIE) (2)-(4). The solution of these integral equations requires the numerical computation of both the scalar potential multilayered periodic Green's functions (SPMPGF) and the vector potential multi- layered periodic dyadic Green's functions (VPMPDGF) in the spatial domain (5). These spatial domain Green's functions can be expressed as double spectral infinite series which are slowly convergent. One of the most efficient approaches for the evaluation of these series is that presented in (6) and (7), where the discrete complex image method (DCIM) is hybridized with Kummer's transformation. So far the hybrid Kummer-DCIM method has been successfully applied to the fast and accurate computation of the SPMPGF and the diagonal elements of the VPMPDGF (6), (7). In this paper, we apply the Kummer- DCIM method to the computation of the off-diagonal elements of the VPMPDGF, and we show that the method provides inaccurate results when the distance between the field point and the sources approaches zero. In order to avoid this inac- curacy problem, we propose a novel method to compute the off-diagonal elements of the VPMPDGF. This novel method is based on Kummer's transformation, and it uses an asymptotic term (8) plus a modified DCIM term in order to obtain accurate asymptotic expressions for the off-diagonal spectral Green's functions. In the novel method the asymptotic series are calculated by means of the spectral Kummer-Poisson's method with asymptotic extraction of higher-order terms (9). The novel method is typically 40% slower than the hybrid Kummer-DCIM, but it turns out to be accurate in the whole range of distances between the field point and the sources.

Comments on (quote)On the computation of the complete spectral Green's dyadic for layered bianisotropic structures(quote) [and reply]

Efficient numerically-assisted modelling of grounded arrays of printed patches

2013 Proceedings of the International Symposium on Antennas Propagation, Oct 1, 2013

Wideband analytical equivalent circuit for one-dimensional periodic stacked arrays

Physical Review E, 2016

A wideband equivalent circuit is proposed for the accurate analysis of scattering from a set of s... more 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 thickness, including the case of closely spaced gratings that interact by higher-order modes. A-circuit topology is obtained for a pair of coupled arrays, with fully analytical expressions for all the circuit elements. This equivalent circuit is employed as the basis to derive the equivalent circuit of finite stacks with any given number of gratings. Analytical expressions for the Brillouin diagram and the Bloch impedance are also obtained for infinite periodic stacks.

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Application of Total Least Squares to the Derivation of Closed-Form Green's Functions for Planar Layered Media

Ieee Transactions on Microwave Theory and Techniques, Feb 1, 2007

A new technique is presented for the numerical derivation of closed-form expressions of spatial-d... more A new technique is presented for the numerical derivation of closed-form expressions of spatial-domain Green's functions for multilayered media. In the new technique, the spectral-domain Green's functions are approximated by an asymptotic term plus a ratio of two polynomials, the coefficients of these two polynomials being determined via the method of total least squares. The approximation makes it possible to obtain closed-form expressions of the spatial-domain Green's functions consisting of a term containing the near-field singularities plus a finite sum of Hankel functions. A judicious choice of the coefficients of the spectral-domain polynomials prevents the Hankel functions from introducing nonphysical singularities as the horizontal separation between source and field points goes to zero. The new numerical technique requires very few computational resources, and it has the merit of providing single closed-form approximations for the Green's functions that are accurate both in the near and far fields. A very good agreement has been found when comparing the results obtained with the new technique with those obtained via a numerically intensive computation of Sommerfeld integrals.

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Efficient Computation of the Off-Diagonal Elements of the Vector-Potential Multilayered Periodic Dyadic Green's Function

Ieee Transactions on Antennas and Propagation, Jul 1, 2011

The authors focus on the efficient computation of the slowly convergent infinite series that lead... more The authors focus on the efficient computation of the slowly convergent infinite series that lead to the off-diagonal elements of the vector potential multilayered periodic dyadic Green&amp;amp;amp;#39;s function. Two different approaches based on Kummer&amp;amp;amp;#39;s transformation are applied to the evaluation of these series. The well-known approach that makes use of the generalized pencil of functions (GPoF) and Ewald&amp;amp;amp;#39;s method is

Accurate Circuit Modeling of Fishnet Structures for Negative-Index-Medium Applications

IEEE Transactions on Microwave Theory and Techniques, 2015

Metallic plates with a 2D periodic distribution of sub-wavelength apertures are known to exhibit ... more Metallic plates with a 2D periodic distribution of sub-wavelength apertures are known to exhibit extraordinary transmission of electromagnetic waves. Stacking two or more of such plates gives place to the so-called fishnet structures, which constitute a popular way of achieving an effective negative index medium at frequencies ranging from microwaves to optics. Unfortunately, a general wideband equivalent circuit has not yet been proposed to facilitate its understanding and design. This work presents this circuit model with closed-form expressions for the circuit elements, thus making it possible to obtain the electrical response for this class of structures in a very efficient way. This procedure is much faster than alternative numerical methods at the same time that it retains a high level of accuracy when compared with some other oversimplified models. The circuit model also provides a simple rationale as well as a good physical insight in order to explain the qualitative behavior of such structures, independently of the number of stacked layers.

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Marqu�s et al. Reply

Phys Rev Lett, 2003

A Reply to the Comment by I. G. Kondrat&#39;ev and A. I. Smirnov.

Sub-Wavelength Transmission Through Stacked Two-dimensional Metallic Patches: A Circuit Model Perspective

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

IEEE Transactions on Antennas and Propagation, 2015

ABSTRACT A fully analytical multimodal equivalent circuit is presented for the modeling of the sc... more ABSTRACT 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.

Comments on the (quote)Criterion of leakage from printed circuit transmission lines(quote)

Erratum: Nonreciprocal propagation characteristics of transversely magnetised metal–insulator–semiconductor coplanar waveguides

Electron Lett, 1992

LASERS, OPTICS, AND OPTOELECTRONICS 161101 "Rainbow" trapped in a self-similar coaxial optical waveguide (3 pages)

Design of ultra-wide bandpass filter using hybrid microstrip/CPW structure

2009 European Microwave Conference, 2009

Design of ultra-wide bandpass filter using hybrid microstrip/CPW structure

2009 European Microwave Conference, 2009

Wideband analytical equivalent circuit for coupled asymmetrical nonaligned slit arrays

Physical Review E, 2017

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Differential transmission line for common-mode suppression using double side MIC technology

2011 41st European Microwave Conference, 2011

Multipole accelerated macro basis functions analysis of printed antenna arrays

Proceedings of the 5th European Conference on Antennas and Propagation, Apr 11, 2011

Complex modes in periodic transmission lines based on split rings

2013 International Conference on Electromagnetics in Advanced Applications, Sep 1, 2013

$Research paper thumbnail of Microstrip circuit analog to illustrate extraordinary transmission through compound diffraction gratings$

Microstrip circuit analog to illustrate extraordinary transmission through compound diffraction gratings

2009 European Microwave Conference, 2009

A contribution to the efficient computation of multilayered periodic Green's functions

Proceedings of the 5th European Conference on Antennas and Propagation, Apr 11, 2011

Comments on (quote)On the computation of the complete spectral Green's dyadic for layered bianisotropic structures(quote) [and reply]

Efficient numerically-assisted modelling of grounded arrays of printed patches

2013 Proceedings of the International Symposium on Antennas Propagation, Oct 1, 2013

Wideband analytical equivalent circuit for one-dimensional periodic stacked arrays

Physical Review E, 2016

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Application of Total Least Squares to the Derivation of Closed-Form Green's Functions for Planar Layered Media

Ieee Transactions on Microwave Theory and Techniques, Feb 1, 2007

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Efficient Computation of the Off-Diagonal Elements of the Vector-Potential Multilayered Periodic Dyadic Green's Function

Ieee Transactions on Antennas and Propagation, Jul 1, 2011

Accurate Circuit Modeling of Fishnet Structures for Negative-Index-Medium Applications

IEEE Transactions on Microwave Theory and Techniques, 2015

Download

Marqu�s et al. Reply

Phys Rev Lett, 2003

A Reply to the Comment by I. G. Kondrat&#39;ev and A. I. Smirnov.

Sub-Wavelength Transmission Through Stacked Two-dimensional Metallic Patches: A Circuit Model Perspective

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

IEEE Transactions on Antennas and Propagation, 2015

Direct modal transition from space-wave to surface-wave leakage on microstrip lines

by Giampiero Lovat and Francisco Mesa

1] In this paper it is shown for the first time that a novel transition may occur for dominant (q... more 1] In this paper it is shown for the first time that a novel transition may occur for dominant (quasi transverse electromagnetic (quasi-TEM)) leaky modes on microstrip line, between a leaky mode that leaks into the TM 0 surface wave mode and one that leaks both into the surface wave and into space. The modal evolution of leaky modes as a function of frequency is studied by means of a full-wave spectral domain approach, and it is shown that such transitions occur on microstrip lines that have a critical strip width, which is relatively large. When the strip width is equal to the critical value, a transition frequency will exist at which the attenuation constant of the leaky mode drops exactly to zero and the leaky mode has a real propagation wave number exactly equal to the free-space wave number. At this frequency, the leaky mode transitions from one that leaks into only the surface wave to one that also leaks into space. In a frequency neighborhood of the transition frequency, very large spurious effects may be produced because of interference between the fundamental quasi-TEM mode and the continuous spectrum current. (2005), Direct modal transition from space wave to surface wave leakage on microstrip lines, Radio Sci., 40, RS6017,

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