Grid-free 3D multiple spot generation with an efficient single-plane FFT-based algorithm
Artikel i vetenskaplig tidskrift, 2009

Algorithms based on the fast Fourier transform (FFT) for the design of spot-generating computer generated holograms (CGHs) typically only make use of a few sample positions in the propagated field. We have developed a new design method that much better utilizes the information-carrying capacity of the sampled propagated field. In this way design tasks which are difficult to accomplish with conventional FFT-based design methods, such as spot positioning at non-sample positions and/or spot positioning in 3D, are solved as easily as any standard design task using a conventional method. The new design method is based on a projection optimization, similar to that in the commonly used Gerchberg-Saxton algorithm, and the vastly improved design freedom comes at virtually no extra computational cost compared to the conventional design. Several different design tasks were demonstrated experimentally with a liquid crystal spatial light modulator, showing highly accurate creation of the desired field distributions.


David Engström

Göteborgs universitet

Anders Frank

Chalmers, Mikroteknologi och nanovetenskap, Fotonik

Mattias Goksör

Göteborgs universitet

Jörgen Bengtsson

Chalmers, Mikroteknologi och nanovetenskap, Fotonik

Optics Express

1094-4087 (ISSN) 10944087 (eISSN)

Vol. 17 12 9989-10000



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