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Opt Express. 2011 Jan 3;19(1):32-9. doi: 10.1364/OE.19.000032.

Reference calculation of light propagation between parallel planes of different sizes and sampling rates.

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Department of Computer Science and Engineering, University of West Bohemia, Plzen, Czech Republic.


The article deals with a method of calculation of off-axis light propagation between parallel planes using discretization of the Rayleigh-Sommerfeld integral and its implementation by fast convolution. It analyses zero-padding in case of different plane sizes. In case of memory restrictions, it suggests splitting the calculation into tiles and shows that splitting leads to a faster calculation when plane sizes are a lot different. Next, it suggests how to calculate propagation in case of different sampling rates by splitting planes into interleaved tiles and shows this to be faster than zero-padding and direct calculation. Neither the speedup nor memory-saving method decreases accuracy; the aim of the proposed method is to provide reference data that can be compared to the results of faster and less precise methods.


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