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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

PointBroadside arrayEnd fire array
Direction of maxPerpendicular to array axis (θ = 90°)Along array axis (θ = 0° or 180°)
Phase conditionα = 0 (all in phase)α = −βd (progressive phase)
PatternBidirectional fan/disc around axisUsually unidirectional pencil along axis
Null-to-null beamwidth≈ 2λ/(nd)≈ 2√(2λ/(nd))
Directivity (long array)≈ 2L/λ≈ 4L/λ
Typical spacingλ/2λ/4
ExampleCollinear/curtain arrays for HF broadcastYagi-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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