Apertures sine wave aperture

Hoagland and Prud homme (1985) presented a method of moments analysis of dispersion in a single sinusoidal capillary tube with solid walls (Fig. 3-6C). Their geometric model is defined by the wave length (k), the amplitude (a) and mean radius () of the sine wave (z) that describes the aperture wall ... 

There is a direct analogy between the one dimensional (ID) and 2D examples. The repetition of a square wave leads to discrete sampling in the frequency domain. In the case of the square wave, there is a series of odd harmonics generated. In 2D, these harmonics appear as orders radiating out in the lobes of the sine function from the dimensions of the fundamental aperture or pixel. The more pixels we have in the hologram, the closer we get to the infinite case and spots generated become more like delta functions. 

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