Fraunhofer Diffraction from a Cylinder

The diffraction of light from a cylinder is easily calculated since the projected area of a cylinder will simply be a rectangle. For simplicity, we assume here that the rectangle has a length L and a width d and that the long axis is oriented along the x axis. The diffraction function is then 

Because of the anisotropy in the shape of the particle, this scattering pattern has a dependence on the angle cp. 

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