Abstract
Given a 3D reflecting surface , which is not necessarily rotationally symmetric, away from a point source, and a direction , we design a reflecting surface so that the system reflects all rays into the direction . We also solve the near-field problem when the direction is replaced by a given point . The surface satisfies a system of first-order partial differential equations that can be explicitly solved in terms of and . We also apply the same ideas to designing refracting plates, of which the Schmidt corrector plate is an example.
© 2014 Optical Society of America
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