Discussion
How does the directivity of a long uniform broadside array vary with its length?
Answer: A
For a linear broadside array the directivity is about twice the length in wavelengths, so doubling the aperture doubles the directivity and gives three decibels. A planar array, being two dimensional, gains as the area and therefore as the square of a linear dimension. The distinction between linear and planar scaling is worth keeping clear, since it decides whether extending an array in one direction is worth the cost.
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