Antenna Systems

Phased Array

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Phased array: multiple elements with phase-controlled steering, no mechanical movement. Garray = Gelement + 10log(N). Beam steering: Δφ = k·d·sin(θ). d ≤ λ/2 for grating-lobe-free scan. AESA: T/R module per element (PA+LNA+phase shifter). F-22: 2000 T/R modules. 5G mmWave: 256-1024 elements. Hybrid analog+digital beamforming.
Array gain: +10log(N)
Spacing: d ≤ λ/2
Scan loss: cos(θ)

Understanding Phased Arrays

Phased arrays are the most important antenna technology of the 21st century. They enable 5G mmWave communications (beam tracking to mobile users), modern military radar (agile beam for tracking multiple targets), and satellite internet (Starlink user terminals). The ability to steer a beam electronically in microseconds, without any mechanical movement, transforms how wireless systems operate. Multiple beams, null steering, adaptive interference rejection: all become possible with a phased array.

Phased Array Equations

Array factor:
AF = Σ wnej(n·kd·sinθ + φn)

Beamwidth:
θ3dB ≈ 0.886λ/(Nd·cosθs)

Grating lobe condition:
d ≤ λ/(1+|sinθmax|)

Phased Array Applications

ApplicationElementsFrequencyScan RangeTechnology
5G mmWave BS256-102428/39 GHz±60°SiGe/GaAs RFIC
5G mmWave UE4-1628/39 GHz±45°SiGe beamformer
AESA radar1000-2000X/S band±60°GaN T/R modules
Starlink terminal~1200Ku/Ka±55°Custom RFIC
Auto radar12-4877 GHz±15°SiGe transceiver

Key Equations

Friis transmission:
Pr = PtGtGr(λ/4πd)²

Antenna gain:
G = ηap × 4πAeff/λ²

Beamwidth (3 dB):
θ ≈ 70λ/D degrees

Comparison

ElementsGainBeamwidthScanApplication
1618 dBi25°±45°WiFi MIMO
6424 dBi12°±60°5G gNB
25630 dBi±60°Satcom
102436 dBi±60°Radar
409642 dBi1.5°±45°AESA radar
Common Questions

Frequently Asked Questions

Beam steering?

Progressive phase shift per element: delta_phi = k*d*sin(theta). d=lambda/2, 30 deg: 90 deg/element. Max scan limited by cos(theta) gain rolloff. Grating lobes: d <= lambda/2 required for full hemisphere.

AESA?

T/R module per element: PA+LNA+phase shifter+switch. Graceful degradation, distributed amplification, better NF. F-22: 2000 modules. 5G BS: 256-1024 elements. Starlink: ~1200 elements.

vs massive MIMO?

Phased array: analog phase shifters, single beam, combined before digitization. Massive MIMO: per-element ADC/DAC, digital beamforming, many simultaneous beams. 5G: hybrid approach (analog subarray + digital across subarrays).

Array Solutions

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