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Introduction to Cubic residue diffusers
In a former article we explained some aspects of common QR-Diffusers known as Schröder-diffusers. Here a 2D-structure is shown.
A common method of defining the wells' depth is to use the residue value of a division from the square of the coordinate and a prime figure. Unlike as with common QR-diffusers both dimensions are covered which leads to more a scattering behavior than known from 1D-QRD-Designs. Depending on the coordinate shift and the modulo value and used for the division structures can be achieved
An optimized 2D-quadratic residue diffuser using 12 wells per period from 13 - fully symmetrical. Here the equation is Z = (X*X + Y*Y) MOD 13
An optimized 2D-quadratic residue diffuser using 12 wells per period from 13 possible to become fully symmetrical. Unlike above the equation is Z = (X*X * Y*Y) MOD 13
Conclusion and Summary
Optimized QRD-equations can be used to obtain a fully symmetrical 2D-diffuser.
See the former article about QRD-diffusers
You may also want to have a look at the article Studio Design
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