Wavefront and point-like obstacle

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The discussion explores the interaction of light with point-like obstacles, such as atoms, instead of traditional slits in diffraction experiments. It highlights the need to determine the transmission function of the aperture or array to understand this interaction. The resulting diffraction pattern in the far-field will be the Fourier transform of the transmission function. This approach could provide insights into how light behaves when encountering discrete obstacles. The analysis aims to deepen the understanding of wavefront behavior in complex systems.
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After reading about the diffraction and the multiple slits experiment, I've been wondering about what would happen if instead of slits, there were point-like obstacles (i.e., atoms). Using a plane wavefront and a finite number of obstacles, how would the light interact with this system?
 
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You would need to work out the transmission function of the aperture/array. The diffraction pattern at the far-field (Fraunhofer diffraction pattern) will be the Fourier transform of this transmission function.

Claude.
 
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