Pattern Synthesis of Coupled Antenna Arrays via Element Rotation

Echeveste, José; Rubio, José Antonio Pérez; Aza, Miguel Á. González de; Craeye, Christophe

doi:10.1109/lawp.2017.2668397

Cited by 17 publications

(4 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…k is the wavenumber in free space, � is the unitary vector in spherical coordinates, and is the position vector of the array element i, = � + �. is a row vector containing the electric fields of the spherical modes in each element, and is a diagonal matrix that takes into account rotation angles in the case of rotated elements in the array [15].…”

Section: A Analysis Of Finite Arrays Based On Translation Of Sphericmentioning

confidence: 99%

Mutual Coupling of Antennas With Overlapping Minimum Spheres Based on the Transformation Between Spherical and Plane Vector Waves

Rubio

Gómez-Alcalá

2021

IEEE Trans. Antennas Propagat.

Self Cite

View full text Add to dashboard Cite

Mutual coupling in finite arrays of antennas with strongly overlapping minimum spheres is quickly calculated by computing the general translation matrix between spherical modes. This matrix is obtained by using the transformation properties of spherical and plane vector waves. Although this approach is less efficient than the classical one, which is based on addition theorems, it allows to overcome the well-known limitation of addition theorems that requires non-intersecting minimum spheres. Symmetry relations are provided for the translation coefficients that greatly increase the speed of computation of the general translation matrix. By computing the reflection and the transmission submatrices of the Generalized Scattering Matrix of a finite antenna array, accurate results are obtained for the S parameters and the radiation patterns of arrays in comparison with commercial software or an in-house full-wave method purely numerical. For this purpose, different types of antennas with strongly overlapping hemispheres in an array environment on a ground plane are used, such as apertures, monopoles, cavitybacked patch antennas or dielectric resonator antennas.

show abstract

Section: A Analysis Of Finite Arrays Based On Translation Of Sphericmentioning

confidence: 99%

Mutual Coupling of Antennas With Overlapping Minimum Spheres Based on the Transformation Between Spherical and Plane Vector Waves

Rubio

Gómez-Alcalá

2021

IEEE Trans. Antennas Propagat.

Self Cite

View full text Add to dashboard Cite

show abstract

“…On the other hand, since (18) provides the complex amplitudes of the scattered spherical modes for a given excitation v, the radiation pattern can be easily computed by applying superposition as E(M) = (e(ü)e-> k°a -u )b e = (ei^e'^^FM^Qy (22) In (22), F accounts for the rotation angles in the case of rotated elements [19], feo is the wavenumber in free space, ü is the unitary vector in spherical coordinates, and (e (u) e~J k°u ' u ) is given by (e(u)e -)koü-u ) = (ee -¡koü-ui .,ee -jkoü-Ui ,ee -jk 0 u-u Ne where «¿ is the position vector of the array element i (w; = xix + y¡y ), and e is a row vector containing the electric fields of the spherical modes in each array element.…”

Section: Bf)mentioning

confidence: 99%

“…On the other hand, a generalized scattering matrix (GSM) analysis based on the addition theorems for spherical waves and FEM, suitable for the fast analysis of finite arrays on a ground plane, was introduced in [13]. Since then, it has been successfully applied to different array problems such as the design of the Galileo system navigation antenna [14], multi-objective optimization [15], shaped beam problems [16], [17], or, recently, in the synthesis of nonuniform arrays [18] or arrays of rotated elements [19].…”

Section: Introductionmentioning

confidence: 99%

Simultaneous Use of Addition Theorems for Cylindrical and Spherical Waves for the Fast Full-Wave Analysis of SIW-Based Antenna Arrays

Rubio

Garcia

Alcalá

et al. 2019

IEEE Trans. Antennas Propagat.

Self Cite

View full text Add to dashboard Cite

“…Several methods exist for pattern synthesis: these include methods using orthogonal [5] and Inagaki modes [6], and methods employing iterative operations on array elements [7].…”

Section: Introductionmentioning

confidence: 99%

Antenna Array Pattern Synthesis Using an Iterative Method

2020

View full text Add to dashboard Cite

In this article, we investigate a novel iterative antenna array synthesis method. The method is based on the iterative addition of antenna array elements. After defining the synthesis algorithm, we prove that the discrepancy between the goal and the synthesized pattern converges to the theoretical lower bound in the sense of a certain norm. The algorithm is also extended to iteratively replace already placed elements and for the synthesis of multiple goal patterns with the same array geometry but with different excitations. Some numerical examples are shown to illustrate the convergence properties of the proposed method. Possible applications include circularly polarized patterns, since the algorithm can handle the rotation as well as translation of the antenna elements.

show abstract

Pattern Synthesis of Coupled Antenna Arrays via Element Rotation

Cited by 17 publications

References 11 publications

Mutual Coupling of Antennas With Overlapping Minimum Spheres Based on the Transformation Between Spherical and Plane Vector Waves

Mutual Coupling of Antennas With Overlapping Minimum Spheres Based on the Transformation Between Spherical and Plane Vector Waves

Simultaneous Use of Addition Theorems for Cylindrical and Spherical Waves for the Fast Full-Wave Analysis of SIW-Based Antenna Arrays

Antenna Array Pattern Synthesis Using an Iterative Method

Contact Info

Product

Resources

About