Optimal Radiation Pattern of the Element for a Spherical Phased Array With Hemispherical Scan Capability

Unique spatial eigenmodes for the spherical coordinate system are shown to be successfully synthesized by properly allocated combinations of current distributions along θ and φ on a spherical conformal array. The allocation ratios are analytically found in a closed form with a matrix that relates the expansion coefficients of the current to its radiated field. The coefficients are obtained by general Fourier expansion of the current and the mode expansion of the field, respectively. The validity of the obtained formulas is numerically confirmed, and important effects of the sphere radius and the degrees of the currents on the radiated fields are numerically explained. The formulas are used to design six current distributions that synthesize six unique eigenmodes. The accuracy of the synthesized fields is quantitatively investigated, and the accuracy is shown to be remarkably improved by more than 27 dB with two additional kinds of current distributions.

show abstract

“…This field can be radiated by the currents as follows, where the variables are renamed simply as shown in (28):…”

Section: Combination Of Currents For Radiating Unique Eigenmodementioning

confidence: 99%

Pattern Synthesis of Spatial Eigenmodes Exploiting Spherical Conformal Array

Saitou

Ishikawa

Honjo

2022

IEICE Trans. Commun.

View full text Add to dashboard Cite

show abstract

“…The wave number is formulated as ω/c, where c is the signal speed. The field intensity's spherical Fourier transform at the phased-array element's positions r = r, Ω j can consequently be expressed as [11,15] E 0 nm kr = b n kr Y n m* Ω 0 b n kr = 4πi n j n kr (8) where j n is the spherical Bessel function. Let us consider a signal field with an infinite plane waves incident on the surface of a sphere in all directions Ω 0 with amplitudes a k, Ω 0 spatial density.…”

Section: Processing Of Spherical Phased-array Antennamentioning

confidence: 99%

“…The total E-field spherical Fourier transform concentrated on the sphere's surface could be computed by the integration of (8) over the directions [22] as E nm kr = a nm k b n kr (9) Beamforming phased-array antenna of order N and weights ω nm * = d nm /d n is now considered. The phased-array antenna output of signal coming from Ω 0 direction is calculated by the substitution of the selected weights, and putting (8) into 7, neglecting kr dependency for the attainment of simple notation…”

Section: Processing Of Spherical Phased-array Antennamentioning

confidence: 99%

“…We supported our theoretical analysis by simulation scenarios of antenna arrays with different arrangements. This analysis is spherical harmonics expansion, or spherical Fourier transform based, which can be directly applied to modern spherical harmonics antenna arrays [7][8][9][10]. Nonetheless, our analysis includes performance boundaries because of physical components; hence, the proposed framework with its simulation results can be functional in designing general spherical antenna arrays or antenna arrays that are not comprehensively designed using spherical harmonics decomposition.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Analysis of phased array antenna system via spherical harmonics decomposition

Famoriji

Akingbade²,

Ogunti³

et al. 2019

IET Communications

View full text Add to dashboard Cite

“…In Hoffman and colleagues, 7–9 the spherical conformal antenna array is proposed, and their theoretical analysis and calculations are carried out. In the actual design, various antenna element types and numbers are employed on the spherical surface 10–22 . In Stockton and Hockensmith, 10 a 120‐element constellation with conformal circular patches was fabricated.…”

Section: Introductionmentioning

confidence: 99%

Design of a wide beamwidth spherical conformal antenna array for ship‐borne applications

Luo

Zhao

Yan

et al. 2022

Micro & Optical Tech Letters

View full text Add to dashboard Cite

This study presents the phase setting method for a spherical conformal antenna array to achieve a wide beamwidth circularly polarized radiation pattern. A dodecahedral spherical array was fabricated and measured to validate the phase setting method. The array adopts a regular dodecahedron spatial distribution structure composed of 11 dual‐polarization elements. By exciting 11 elements simultaneously with designed phase distributions, the proposed spherical array can achieve a wide beamwidth of more than 210° with circular polarization by selecting the radius of the dodecahedron. In addition, the power division network of the array is designed and processed, and the feed network is simplified by rotating the antenna element port to control the phase. Measurements agree well with the simulations. The measured results show that the proposed spherical antenna array achieves a half‐power beamwidth of more than 210° and an axial‐ratio beamwidth of larger than 240°.

show abstract

Optimal Radiation Pattern of the Element for a Spherical Phased Array With Hemispherical Scan Capability

Cited by 11 publications

References 11 publications

Pattern Synthesis of Spatial Eigenmodes Exploiting Spherical Conformal Array

Pattern Synthesis of Spatial Eigenmodes Exploiting Spherical Conformal Array

Analysis of phased array antenna system via spherical harmonics decomposition

Design of a wide beamwidth spherical conformal antenna array for ship‐borne applications

Contact Info

Product

Resources

About