READ ME File For 'This dataset supports the publication:
"Supertoroidal light pulses as electromagnetic skyrmions propagating in free space"

Dataset DOI: 10.5258/SOTON/D1901

Date that the file was created: July, 2021

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GENERAL INFORMATION
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ReadMe Author: Yijie Shen, University of Southampton  ORCID https://orcid.org/0000-0002-6700-9902

Related projects: The authors acknowledge the supports of the MOE Singapore (MOE2016-T3-1-006), the UKs Engineering and Physical Sciences Research Council (grant EP/M009122/1, Funder Id: http://dx.doi.org/10.13039/501100000266), the European Research Council (Advanced grant FLEET-786851, Funder Id: http://dx.doi.org/10.13039/501100000781), and the Defense Advanced Research Projects Agency (DARPA) under the Nascent Light Matter Interactions program.
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SHARING/ACCESS INFORMATION
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Licenses/restrictions placed on the data, or limitations of reuse:CC-BY


This dataset supports the publication:Supertoroidal light pulses as electromagnetic skyrmions propagating in free space
AUTHORS:Y. Shen, Y. Hou, N. Papasimakis, and N. I. Zheludev
TITLE:upertoroidal light pulses as electromagnetic skyrmions propagating in free space
JOURNAL:Nature Communications
PAPER DOI IF KNOWN:https://doi.org/10.1038/s41467-021-26037-w



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DATA & FILE OVERVIEW
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This dataset contains:

- Fig. 1 presents plots of the spatial profiles of the real parts of electric fields of Equation (4) of the two pulses of α=1 and α=5 for q2=100q1 and t = 0, ±q2/(4c), and ±q2/(2c).
- Fig. 2a-b present plots of the isoline plots of the electric fields of Equation (4) in the x-z plane for the two pulses shown in Fig.1.
- Fig. 3a-b present plots of isoline and arrow plots of the magnetic fields of Equations (5,6) in the x-z plane for the two pulses shown in Fig.1.
- Fig. 4a-b present plots of contour and arrow plots of the Poynting vector fields in the x-z plane for the two pulses shown in Fig.1.
- Fig. 5a-b present plots of the isoline plot of the logarithm distributions of electric and magnetic fields in the x-z plane for for the pulse of the real part of Equations (4-6) for q2=100q1, t = 0, and α=20.
- Fig. 6a-b presents the numbers and positions (a and b) of on-axis saddle-singularities of the magnetic field of the pulse in Fig.5 within the range of z 2 [0; 80q1], versus α. 

File list:
- Fig1code.txt: The MATLAB code to generate data in Fig.1.
- Fig2a.mat: 1601x801 matrix containing the values of electric field in Fig2a.
- Fig2b.mat: 1601x801 matrix containing the values of electric field in Fig2b.
- Fig3ar.mat: 1601x801 matrix containing the values of radial component of magnetic field in Fig3a.
- Fig3az.mat: 1601x801 matrix containing the values of longitudinal component of magnetic field in Fig3a.
- Fig3br.mat: 1601x801 matrix containing the values of radial component of magnetic field in Fig3b.
- Fig3bz.mat: 1601x801 matrix containing the values of longitudinal component of magnetic field in Fig3b.
- Fig4ar.mat: 1601x801 matrix containing the values of radial component of Poynting vector field in Fig4a.
- Fig4az.mat: 1601x801 matrix containing the values of longitudinal component of Poynting vector field in Fig4a.
- Fig4br.mat: 1601x801 matrix containing the values of radial component of Poynting vector field in Fig4b.
- Fig4bz.mat: 1601x801 matrix containing the values of longitudinal component of Poynting vector field in Fig4b.
- Fig5a.mat: 1601x801 matrix containing the values of electric field in Fig5a.
- Fig5br.mat: 1601x801 matrix containing the values of radial component of magnetic field in Fig5b.
- Fig5bz.mat: 1601x801 matrix containing the values of longitudinal component of magnetic field in Fig5b.
- Fig6alf.mat: 1x581 array containing the values of coordinate of α in Fig6.
- Fig6alf.mat: 1x581 array containing the values of singularity number in Fig6.




Date that the file was created: July, 2021