Prove that the far-field diffraction pattern from a large set of randomly placed identical apertures of...

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Prove that the far-field diffraction pattern from a large set of randomly placed identical apertures of any shape (e.g. rectangular, circular, or any other geometry) is almost the same as from a single aperture of that particular shape. Prove that the far-field diffraction pattern from a large set of randomly placed identical apertures of any shape (e.g. rectangular, circular, or any other geometry) is almost the same as from a single aperture of that particular shape.