Phasor Addition for Linear Array Directivity Index

Jan 08, 2025

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Explore phasor addition in linear array design, nulls and side lobes pattern with Bessel function application. Analyze beam width of a piston array.

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Phasor Addition for Linear Array Directivity Index

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d d θ N Element Array
δ=kdsinθ nδ nδ/2 G M δ/2 δ a A B Phasor Addition
Directivity Index for an n-Element Array
Linear Array Nulls:
q D Piston Array Bessel Function J1(pDsinq/l) pDsinq/l J1(pDsinq/l) has zero crossings (nulls) at pDsinq/l = 3.83, 7.02, 10.17, 13.32, 16.47, .... J1(pDsinq/l) has extremes (side lobes) at pDsinq/l = 1.84, 5.33, 8.54, 11.71, 14.86, ....