- 2073 Bhadra · 1+4 marks
Linear array; broadside vs end fire
Short answer
Linear array has elements placed along a straight line with uniform spacing and progressive phase shift. Broadside array: α=0, maximum radiation perpendicular to axis (θ=90°), bidirectional, typical spacing λ/2, directivity ≈2L/λ. End-fire array: α=-βd, maximum along axis (θ=0° or 180°), usually unidirectional, spacing λ/4, directivity ≈4L/λ.
What is a linear array? Differentiate between a broadside array and end fire array.
A linear array is an array whose elements are placed along a straight line (the array axis), usually equally spaced, equal in amplitude and with a uniform progressive phase shift α between neighbours. Its array factor is
AF = sin(nψ/2) / [n sin(ψ/2)], ψ = βd cosθ + α
Broadside vs end fire array
| Point | Broadside array | End fire array |
|---|---|---|
| Direction of max | Perpendicular to array axis (θ = 90°) | Along array axis (θ = 0° or 180°) |
| Phase condition | α = 0 (all in phase) | α = −βd (progressive phase) |
| Pattern | Bidirectional fan/disc around axis | Usually unidirectional pencil along axis |
| Null-to-null beamwidth | ≈ 2λ/(nd) | ≈ 2√(2λ/(nd)) |
| Directivity (long array) | ≈ 2L/λ | ≈ 4L/λ |
| Typical spacing | λ/2 | λ/4 |
| Example | Collinear/curtain arrays for HF broadcast | Yagi-Uda, end-fire HF arrays |
Broadside: End fire:
^ max
|
o o o o o axis o o o o o ===> max
| along axis
v max
Broadside arrays give a beam at right angles to the line of elements, so they suit point-to-point links where the array can be mounted across the direction of transmission. End fire arrays give higher directivity for the same length and are used where the line of elements can point at the target.
✓ Answer checked by Claude Opus 5.5 (high effort)
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