ABSTRACT

Algorithms are introduced and tested to calculate the nucleation sites of Blue Phase platelets from the experimental microscopic texture. Refinement of the algorithms leads to a methodology based on reversing Voronoi tessellations. This method is robust, concise and provides nucleation sites with a good accuracy. The experimental texture is then recreated by calculation of the respective Voronoi diagram using the previously determined sites. With the outlined method the formation of Blue Phase textures can very well be described to a similarity larger than 80%, yet its limitations are also discussed. The latter are mainly rooted in the finite platelet boundary width, occasional boundary curvature and inevitable temperature fluctuations during the experimental texture acquisition. The outlined procedure can, for example, be used for the prediction of complex 2D photonic structures based on the growth of specific BP lattice planes through seeded nucleation patterns on substrates.

摘要

引入了算法并进行了测试，以根据实验的微观质地计算出蓝相血小板的成核位点。算法的细化导致了基于反转Voronoi镶嵌的方法。该方法是鲁棒的，简洁的并且提供了具有良好准确性的成核位置。然后通过使用先前确定的位置计算相应的Voronoi图来重新创建实验纹理。使用概述的方法，可以很好地描述蓝相纹理的形成，其相似度大于80％，但同时也讨论了其局限性。后者主要来源于有限的血小板边界宽度，偶然的边界曲率和在实验纹理获取过程中不可避免的温度波动。概述的过程可以，例如，