A certain class of microstructured surfaces in 2D geometry is studied on the basis of an approximation of infinitesimal microstructure elements. The macroprofile of the surfaces is then treated as a new type of optical surface with a deflection law that differs from the law of reflection and Snell’s law. We discuss the propagation of wavefronts by general microstructured surfaces and the discontinuity of the eikonal function at the microstructure. Naturally, a classification of the microstructures is obtained (regular and anomalous), and the concept of 2D ideal microstructures is also introduced, since they are used for coupling two macroscopic extended bundles.
© 2006 Optical Society of America
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