To avoid grating lobe artifacts in a linear array, what is the typical maximum element spacing relative to wavelength?

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Multiple Choice

To avoid grating lobe artifacts in a linear array, what is the typical maximum element spacing relative to wavelength?

Explanation:
Grating lobes appear when the element spacing in a linear array is too large, creating additional peaks in the radiation pattern that can look like true reflectors. The spacing determines where those lobes occur via the relation sin θ_g = m λ / d; as d grows, grating lobes can appear within the field of view. To avoid them across typical steering angles, the spacing should be no more than half a wavelength. At d = λ/2, the first grating lobe would require sin θ_g = λ/d = 2, which is impossible within -90° to +90°, so no distinct grating lobes appear. This makes 0.5 λ the typical maximum spacing to prevent grating lobe artifacts. So, the best choice is the spacing of 0.5 λ or less; spacings larger than that can produce grating lobes.

Grating lobes appear when the element spacing in a linear array is too large, creating additional peaks in the radiation pattern that can look like true reflectors. The spacing determines where those lobes occur via the relation sin θ_g = m λ / d; as d grows, grating lobes can appear within the field of view.

To avoid them across typical steering angles, the spacing should be no more than half a wavelength. At d = λ/2, the first grating lobe would require sin θ_g = λ/d = 2, which is impossible within -90° to +90°, so no distinct grating lobes appear. This makes 0.5 λ the typical maximum spacing to prevent grating lobe artifacts.

So, the best choice is the spacing of 0.5 λ or less; spacings larger than that can produce grating lobes.

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