Publisher DOI: 10.1364/OE.26.011352
Title: Ewald sphere construction for structural colors
Language: English
Authors: Maiwald, Lukas 
Lang, Slawa 
Jalas, Dirk 
Renner, Hagen 
Petrov, Alexander 
Eich, Manfred 
Issue Date: 30-Apr-2018
Source: Optics Express 9 (26): 11352-11365 (2018-04-30)
Journal or Series Name: Optics express 
Abstract (english): Disordered structures producing a non-iridescent color impression have been shown to feature a spherically shaped Fourier transform of their refractive-index distribution. We determine the direction and efficiency of scattering from thin films made from such structures with the help of the Ewald sphere construction which follows from first-order scattering approximation. This way we present a simple geometrical argument why these structures are well suited for creating short wavelength colors like blue but are hindered from producing long wavelength colors like red. We also numerically synthesize a model structure dedicated to produce a sharp spherical shell in reciprocal space. The reflectivity of this structure as predicted by the first-order approximation is compared to direct electromagnetic simulations. The results indicate the Ewald sphere construction to constitute a simple geometrical tool that can be used to describe and to explain important spectral and directional features of the reflectivity. It is shown that total internal reflection in the film in combination with directed scattering can be used to obtain long wavelength structural colors.
ISSN: 1094-4087
Institute: Optische und Elektronische Materialien E-12 
Type: (wissenschaftlicher) Artikel
Project: SFB 986, Teilproject C1 - Strukturierte Emitter für effiziente und effektive Thermophotovoltaik 
SFB 986, Teilproject C2 - Ceramic based high temperature stable reflectors for thermal radiation and structural colors 
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