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. 2017 Sep 8;8:493. doi: 10.1038/s41467-017-00287-z

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© The Author(s) 2017

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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Fig. 2 — Multicolor analysis of the diffraction images. a Measured bright scattering image (center part of the detector, intensity in arbitrary units) from a spherical droplet with a pronounced concentric ring pattern. b, c Multicolor Mie fits (dashed purple) of the extracted radial intensity profile (solid black) from a as obtained via a simplex optimization (see “Methods” section) of the individual harmonic contributions to the profiles (color-coded in green, blue, red, and yellow). The results illustrate that two qualitatively different solutions yield comparably small residuals. The two solutions indicate that either the 13th harmonic b or the 15th harmonic c dominates. The resulting refractive indices of these and all other fits are given in Supplementary Fig. 4. d Measured average extreme ultraviolet spectrum of the high harmonic radiation. e Sketch of the energy-dependent refractive indices of bulk liquid helium in the vicinity of the helium 1s–2p transition, assembled from bulk liquid helium measurements^{31, 32} (solid lines, color-coded in light-gray and dark-gray) and tabulated values (scatter, NIST database, http://physics.nist.gov/PhysRefData/FFast/html/form.html)