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On the Optical Role of Randomness for Structured Surfaces

Optics 2014-10-27 v1

Abstract

It has been known for years how random height variations of a repeated nano-scale structure can give rise to smooth angular color variations instead of the well-known diffraction pattern experienced if no randomization is present. However, until now there has not been published any papers giving an in-depth mathematical explanation on the mechanisms behind and how to design the randomness for a given application. This paper presents a mathematical framework for analyzing these random variations -- rigorously as well as intuitively.

Keywords

Cite

@article{arxiv.1310.0917,
  title  = {On the Optical Role of Randomness for Structured Surfaces},
  author = {Villads Egede Johansen},
  journal= {arXiv preprint arXiv:1310.0917},
  year   = {2014}
}

Comments

Submitted to Applied Optics

R2 v1 2026-06-22T01:39:32.321Z