Fourier–Bessel Basis Functions for the Analysis of Elliptical Domain Metasurface Antennas

Bodehou, Modeste; Craeye, Christophe; Bui-Van, Ha; Huynen, Isabelle

doi:10.1109/lawp.2018.2811620

Cited by 24 publications

(4 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…a disk, one can use entiredomain basis functions to describe the unknown currents. This has been done in [205][206][207][208], with a drastic reduction of the total number of unknowns, leading to a system of equations that can be solved directly within a couple minutes on a desktop computer (see figure 28). Finally, the approximations inherent to the homogenization step may be checked by running a full-wave solution for the final metasurface, described with its detailed inclusions or printed patches.…”

Section: Université Catholique De Louvain Belgiummentioning

confidence: 99%

Roadmap on metasurfaces

Quevedo–Teruel

Chen

Díaz-Rubio

et al. 2019

J. Opt.

Self Cite

208

114

View full text Add to dashboard Cite

Metasurfaces are thin two-dimensional metamaterial layers that allow or inhibit the propagation of electromagnetic waves in desired directions. For example, metasurfaces have been demonstrated to produce unusual scattering properties of incident plane waves or to guide and modulate surface waves to obtain desired radiation properties. These properties have been employed, for example, to create innovative wireless receivers and transmitters. In addition, metasurfaces have recently been proposed to confine electromagnetic waves, thereby avoiding undesired leakage of energy and increasing the overall efficiency of electromagnetic instruments and devices. The main advantages of metasurfaces with respect to the existing conventional technology include their low cost, low level of absorption in comparison with bulky metamaterials, and easy integration due to their thin profile. Due to these advantages, they are promising candidates for real-world solutions to overcome the challenges posed by the next generation of transmitters and receivers of future high-rate communication systems that require highly precise and efficient antennas, sensors, active components, filters, and integrated technologies. This Roadmap is aimed at binding together the experiences of prominent researchers in the field of metasurfaces, from which explanations for the physics behind the extraordinary properties of these structures shall be provided from viewpoints of diverse theoretical backgrounds. Other goals of this endeavour are to underline the advantages and limitations of metasurfaces, as well as to lay out guidelines for their use in present and future electromagnetic devices. This Roadmap is divided into five sections: 1. Metasurface based antennas. In the last few years, metasurfaces have shown possibilities for advanced manipulations of electromagnetic waves, opening new frontiers in the design of antennas. In this section, the authors explain how metasurfaces can be employed to tailor the radiation properties of antennas, their remarkable advantages in comparison with conventional antennas, and the future challenges to be solved. 2. Optical metasurfaces. Although many of the present demonstrators operate in the microwave regime, due either to the reduced cost of manufacturing and testing or to satisfy the interest of the communications or aerospace industries, part of the potential use of metasurfaces is found in the optical regime. In this section, the authors summarize the classical applications and explain new possibilities for optical metasurfaces, such as the generation of superoscillatory fields and energy harvesters. 3. Reconfigurable and active metasurfaces. Dynamic metasurfaces are promising new platforms for 5G communications, remote sensing and radar applications. By the insertion of active elements, metasurfaces can break the fundamental limitations of passive and static systems. In this section, we have contributions that describe the challenges and potential uses of active components in metasurfaces, including new studies on non-Foster, parity-time symmetric, and non-reciprocal metasurfaces. 4. Metasurfaces with higher symmetries. Recent studies have demonstrated that the properties of metasurfaces are influenced by the symmetries of their constituent elements. Therefore, by controlling the properties of these constitutive elements and their arrangement, one can control the way in which the waves interact with the metasurface. In this section, the authors analyze the possibilities of combining more than one layer of metasurface, creating a higher symmetry, increasing the operational bandwidth of flat lenses, or producing cost-effective electromagnetic bandgaps. 5. Numerical and analytical modelling of metasurfaces. In most occasions, metasurfaces are electrically large objects, which cannot be simulated with conventional software. Modelling tools that allow the engineering of the metasurface properties to get the desired response are essential in the design of practical electromagnetic devices. This section includes the recent advances and future challenges in three groups of techniques that are broadly used to analyze and synthesize metasurfaces: circuit models, analytical solutions and computational methods.

show abstract

Section: Université Catholique De Louvain Belgiummentioning

confidence: 99%

Roadmap on metasurfaces

Quevedo–Teruel

Chen

Díaz-Rubio

et al. 2019

J. Opt.

Self Cite

208

114

View full text Add to dashboard Cite

show abstract

“…This has been observed for all the simulated examples. Such a subtraction has also proven to produce good comparison with measured data of a MTS antenna made with realistic feed as shown in [17]. The authors believe that such modeling is sufficient to achieve a first MTS antenna design.…”

Section: Squinted Pencil Beam Mts Antenna Based On An Anisotropic Ibcmentioning

confidence: 79%

“…where a SW launcher [15] is used to excite the structure. This paper will focus on circular apertures, bearing in mind that a proper stretching of the proposed basis functions may enable the treatment of elliptical ones [12], [16], [17].…”

Section: Introductionmentioning

confidence: 99%

Method of Moments Simulation of Modulated Metasurface Antennas With a Set of Orthogonal Entire-Domain Basis Functions

Bodehou

González‐Ovejero

Craeye

et al. 2019

IEEE Trans. Antennas Propagat.

Self Cite

View full text Add to dashboard Cite

A family of orthogonal, and entire-domain basis functions (named Fourier-Bessel) is proposed for the analysis of circular modulated metasurface (MTS) antennas. In the structures at hand, the MTS is accounted for in the Electric Field Integral Equation (EFIE) as a sheet transition impedance boundary condition (IBC) on top of a grounded dielectric slab. The closed form Hankel transform of the Fourier-Bessel Basis Functions (FBBF) allows one to use a spectral domain formulation in the Method of Moments (MoM) solution of the EFIE. Moreover, these basis functions are fully orthogonal, which implies that they are able to represent the global evolution of the current distribution in a compact form. FBBFs also present a better filtering capability of their spectrum compared to other well known orthogonal families such as the Zernike functions. The obtained MoM matrix is sparse and compact, it is thus very well conditioned and can be efficiently computed and inverted. Numerical results based on the proposed decomposition are presented and compared with those based on the use of Gaussian Ring Basis Functions (GRBF) and with full-wave analysis of MTS antennas implemented with small printed elements. A very good agreement is observed.

show abstract

“…This excitation model is sufficient to provide an excellent idea about the radiation pattern obtained with practical feeds, as already demonstrated in several papers [4], [16]. The reactance is modulated around an average value X 0 = −1301 Ω at 24 GHz and we used a ρρ (w 2 ) = 1.2, a ρφ (w 2 ) = 1.1, b ρρ (w 2 ) = b ρφ (w 2 ) = 0.…”

Section: Numerical Resultsmentioning

confidence: 97%