# How non-iridescent colors are generated by quasi-ordered structures of bird feathers

## TL;DR

This study reveals that non-iridescent colors in bird feathers are generated by isotropic quasi-ordered nanostructures, which produce angle-invariant coloration under omni-directional light due to their short-range order.

## Contribution

It provides a detailed analysis of how quasi-ordered nanostructures produce non-iridescent colors, contrasting with ordered structures, using SAXS and spectrometry data.

## Key findings

- Quasi-ordered structures are isotropic with short-range order.
- Colors are angle-dependent under directional lighting but invariant under omni-directional lighting.
- Backscattering peaks are explained by single scattering interference.

## Abstract

We investigated the mechanism of structural coloration by quasi-ordered nanostructures in bird feather barbs. Small-angle X-ray scattering (SAXS) data reveal the structures are isotropic and have short-range order on length scales comparable to optical wavelengths. We performed angle-resolved reflection and scattering spectrometry to fully characterize the colors under directional and omni-directional illumination of white light. Under directional lighting, the colors change with the angle between the directions of illumination and observation. The angular dispersion of the primary peaks in the scattering/reflection spectra can be well explained by constructive interference of light that is scattered only once in the quasi-ordered structures. Using the Fourier power spectra of structure from the SAXS data we calculated optical scattering spectra and explained why light scattering peak is the highest in the backscattering direction. Under omni-directional lighting, colors from the quasi-ordered structures are invariant with the viewing angle. The non-iridescent coloration results from isotropic nature of structures instead of strong backscattering. By comparing the data to those of an periodic structure, we demonstrated the difference in structural coloration between the quasi-ordered structures and ordered structures.