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General Solution of Two-Dimensional Beam-Shaping with Two Surfaces

  • K.-H. Brenner
Chapter

Abstract

Beam shaping is a technique, by which a known input irradiance is transformed into a desired output irradiance by changing the local propagation vector of the wave front. Unlike one-dimensional beam-shaping, which leads to a simple differential equation which can be integrated in a straight forward manner, the two-dimensional beam shaping problem leads to a Monge–Ampere type equation, which is difficult to solve. In this paper, we generalize the problem to refractive and reflective systems and use the shifted-base-function approach to obtain a general solution.

Keywords

Order Partial Derivative Beam Shaping Exit Plane Surface Gradient Entrance Plane 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Chair of OptoelectronicsUniversity of HeidelbergMannheimGermany

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