Uniform Line Filling of Space: Bertrand’s Paradox Revisited

Evangelos Marakis, Ravitej Uppu, Pepijn W.H. Pinkse, Matthias Christiaan Velsink

Research output: Contribution to conferencePosterOther research output

Abstract

We are interested in finding templates for direct laser writing of deterministic uncorrelated multiple scattering media. To this end, we want to fill space in a homogeneous way with random lines. It turns out that this is a remarkably difficult problem, which is related to a paradox found by J. Bertrand in 1889. Following insights from Jaynes [1], we solve this problem in 2D and find an analytic expression for the distribution of line lengths. We discuss progress towards solving the 3D case.
Original languageEnglish
Publication statusPublished - 10 Oct 2017
Event41st Annual Meeting NNV AMO Lunteren 2017 - Lunteren, Netherlands
Duration: 10 Oct 201711 Oct 2017
Conference number: 41
http://www.ru.nl/amolunteren/

Conference

Conference41st Annual Meeting NNV AMO Lunteren 2017
CountryNetherlands
CityLunteren
Period10/10/1711/10/17
Internet address

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