Cylindrical Array
Geometry and Commutating-Sector Scanning
A cylindrical array distributes radiators on the lateral surface of a circular cylinder, normally as N elements per ring around the circumference and M rings stacked along the vertical axis. The defining advantage over a flat aperture is rotational symmetry: every azimuth direction sees a geometrically identical curved surface, so the antenna behaves the same whether the beam points north, east, or any angle between. This is what gives the structure its scan-invariant pattern and makes it the natural choice when a system must search and track over the entire horizon from a single fixed structure.
Beam pointing is accomplished by selecting an active sector, typically a 90° to 120° arc of the circumference, and applying both an amplitude taper and a phase distribution that compensate for the curvature of the elements relative to the desired wavefront. The curved geometry means elements in the active sector sit at different radial projections toward the target, so each requires a phase term proportional to its angular offset from the sector center. As the commanded azimuth advances, the controller rotates which elements are switched on, a process called commutation, while the same per-element phase recipe slides around the ring. The instantaneous aperture, and therefore the gain near 35 dBi for a large cylinder, stays constant across all 360°.
The penalty for this uniformity is hardware count. Only the active arc radiates at any moment, so a cylinder needs far more elements, phase shifters, and switching networks than a planar array covering the same instantaneous field of view. Designers balance the active-sector width against efficiency: a wider sector raises gain and narrows the beam but increases mutual coupling and the dynamic range demanded of the beamformer, while a narrower sector wastes fewer active channels but produces a broader, lower-gain beam.
Governing Relations for Ring and Cylinder Geometry
r = N × d / (2π) (d = arc spacing ≤ 0.5λ)
Element azimuth position (ring of N elements):
φn = 2πn / N, n = 0, 1, …, N−1
Ring array factor toward (θ, φ):
AF(θ,φ) = ∑ In · e j[k·r·sinθ·cos(φ−φn) + βn]
Steering phase for direction φ0:
βn = −k · r · sinθ0 · cos(φ0 − φn)
Where k = 2π/λ, r = cylinder radius, In = element excitation amplitude, βn = applied phase. Example: 48 elements/ring at 10 GHz with d = 15 mm (0.5λ) → r ≈ 115 mm.
Cylindrical Array vs. Other Array Geometries
| Geometry | Azimuth Coverage | Scan Loss | Elevation Control | Relative Element Count | Typical Use |
|---|---|---|---|---|---|
| Cylindrical array | Full 360° | Negligible (active sector) | Yes (multiple rings) | High | Shipboard radar, IFF, base stations |
| Circular ring array | Full 360° | Negligible | None (single ring) | Medium | Direction finding, beacons |
| Planar phased array | ±60° per face | ~3 dB at 60° (cos law) | Yes | Low to medium | Sector radar, SATCOM |
| Conformal (curved) array | Surface dependent | Geometry dependent | Yes | Medium to high | Aircraft skin, missile seekers |
| Spherical / geodesic dome | Full hemisphere | Negligible | Yes | Very high | Multi-target wide-FOV radar |
Frequently Asked Questions
How does a cylindrical array achieve 360-degree coverage without scan loss?
It excites a commutating sector, typically a 90° to 120° arc, and steers by rotating which elements are on. A new sector with the same physical aperture always faces the target, so beamwidth and gain stay nearly constant across all 360°. This avoids the cosine scan loss of a planar face, which loses about 3 dB near 60°. The cost is a higher total element count and more switching hardware, since only the active arc radiates at any instant.
What is the difference between a cylindrical array and a circular ring array?
A ring array places elements on one circle in a single plane and controls only azimuth. A cylindrical array stacks several such rings along the axis, so the rings handle azimuth and 360° coverage while the columns set elevation beamwidth and elevation steering. An N-ring by M-column cylinder gives independent two-dimensional control; a ring array is just the single-ring case.
How is the cylinder radius and element spacing chosen?
Arc and axial spacing are kept at or below 0.5λ to suppress grating lobes, the same rule as a planar array. The radius follows from elements per ring: r = N × d / (2π). A larger radius flattens the active sector toward planar behavior and tightens the beam but adds size and elements. At 10 GHz with d = 15 mm and 48 elements per ring, r is about 115 mm.