Composite method for precise freeform optical beam shaping

We present a composite freeform surface construction method for creating a high-accuracy irradiance distribution from a given incident beam under the influence of diffraction. The main idea is that we first determine a fully continuous freeform surface estimate by solving a standard Monge-Ampère equ...

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Bibliographic Details
Published in:Applied optics (2004) 2015-11, Vol.54 (31), p.9364-9369
Main Authors: Feng, Zexin, Froese, Brittany D, Liang, Rongguang
Format: Article
Language:English
Subjects:
Algorithms
Approximation
Beams (radiation)
Diffraction
Irradiance
Mathematical analysis
Surface roughness
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Summary:We present a composite freeform surface construction method for creating a high-accuracy irradiance distribution from a given incident beam under the influence of diffraction. The main idea is that we first determine a fully continuous freeform surface estimate by solving a standard Monge-Ampère equation and then refine it using an iterative Fourier-transform algorithm associated with over-compensation. Although this method can only be implemented in the paraxial approximation, it can significantly simplify the design and is applicable to many examples that fulfill this restriction. The resulting optical surface, unwrapped from the final phase, is an unusual discontinuous freeform surface that can produce very promising performances in terms of surface roughness and irradiance accuracy.
ISSN:1559-128X
2155-3165
DOI:10.1364/AO.54.009364