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Code and data for 'Knotting fractional-order knots with the polarization state of light'

Emilio Pisanty; Gerard J. Machado; Verónica Vicuña-Hernández; Antonio Picón; Alessio Celi; Juan P. Torres; Maciej Lewenstein

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  <identifier identifierType="DOI">10.5281/zenodo.2649391</identifier>
      <creatorName>Emilio Pisanty</creatorName>
      <nameIdentifier nameIdentifierScheme="ORCID" schemeURI="">0000-0003-0598-8524</nameIdentifier>
      <affiliation>ICFO - The Institute of Photonic Sciences</affiliation>
      <creatorName>Gerard J. Machado</creatorName>
      <nameIdentifier nameIdentifierScheme="ORCID" schemeURI="">0000-0002-0841-2195</nameIdentifier>
      <affiliation>ICFO - The Institute of Photonic Sciences</affiliation>
      <creatorName>Verónica Vicuña-Hernández</creatorName>
      <nameIdentifier nameIdentifierScheme="ORCID" schemeURI="">0000-0002-6926-8772</nameIdentifier>
      <affiliation>ICFO - The Institute of Photonic Sciences</affiliation>
      <creatorName>Antonio Picón</creatorName>
      <nameIdentifier nameIdentifierScheme="ORCID" schemeURI="">0000-0002-6142-3440</nameIdentifier>
      <affiliation>ICFO - The Institute of Photonic Sciences</affiliation>
      <creatorName>Alessio Celi</creatorName>
      <nameIdentifier nameIdentifierScheme="ORCID" schemeURI="">0000-0003-4939-084X</nameIdentifier>
      <affiliation>ICFO - The Institute of Photonic Sciences</affiliation>
      <creatorName>Juan P. Torres</creatorName>
      <nameIdentifier nameIdentifierScheme="ORCID" schemeURI="">0000-0002-4454-6676</nameIdentifier>
      <affiliation>ICFO - The Institute of Photonic Sciences</affiliation>
      <creatorName>Maciej Lewenstein</creatorName>
      <nameIdentifier nameIdentifierScheme="ORCID" schemeURI="">0000-0002-0210-7800</nameIdentifier>
      <affiliation>ICFO - The Institute of Photonic Sciences</affiliation>
    <title>Code and data for 'Knotting fractional-order knots with the polarization state of light'</title>
    <subject>singular optics</subject>
    <subject>polarization singularities</subject>
    <subject>nonlinear polarization tomography</subject>
    <subject>torus knot</subject>
    <date dateType="Issued">2018-08-14</date>
  <resourceType resourceTypeGeneral="Dataset"/>
    <alternateIdentifier alternateIdentifierType="url"></alternateIdentifier>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsVersionOf">10.5281/zenodo.1345138</relatedIdentifier>
    <rights rightsURI="">Creative Commons Attribution 4.0 International</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
    <description descriptionType="Abstract">&lt;p&gt;&lt;strong&gt;Code and data for &amp;#39;Knotting fractional-order knots with the polarization state of light&amp;#39;&lt;/strong&gt;&lt;/p&gt;

&lt;p&gt;This collection contains the code and experimental data used to produce the figures in the paper&lt;/p&gt;

&lt;p&gt;Knotting fractional-order knots with the polarization state of light. E. Pisanty, G. J. Machado, V. Vicu&amp;ntilde;a-Hern&amp;aacute;ndez, A. Pic&amp;oacute;n, A. Celi and M. Lewenstein. &lt;a href=""&gt;&lt;em&gt;Nature Photonics&lt;/em&gt;&amp;nbsp;(2019)&lt;/a&gt;,&amp;nbsp;&lt;a href=""&gt;arXiv:1808.05193&lt;/a&gt;.&lt;/p&gt;

&lt;p&gt;The collection consists of the following:&lt;/p&gt;

	&lt;li&gt;The experimental data used in the paper, listed under the OAM &lt;em&gt;m&lt;/em&gt; of the second harmonic used for each run, as &lt;code&gt;LG&lt;/code&gt;&lt;em&gt;m&lt;/em&gt;, and indexed by the polarizer angle theta. For each image we include the colorized image file (.tiff) as produced by the camera, and the raw data in a comma-separated ASCII file.&lt;/li&gt;
	&lt;li&gt;Sundry supporting data, including pictures of the individual Laguerre-Gauss and gaussian components coming from each arm of the interferometer, as well as some higher-order OAM interferograms for which full data scans were not taken.&lt;/li&gt;
	&lt;li&gt;The Matlab script, &lt;code&gt;Experimental image analysis.m&lt;/code&gt; used to assemble the raw images into grids as in Fig. S1.&lt;/li&gt;
	&lt;li&gt;The main Mathematica notebook, &lt;code&gt;Figure maker.nb&lt;/code&gt;, used to produce the theory figures (Fig. 1, Fig. 2 and Fig. 3(e,f)) as well as the Fourier-transformed data analysis of Fig. 3(c,d) and Figs. S2, S3 and S4, together with a pdf printout of that notebook.&lt;/li&gt;
	&lt;li&gt;The Mathematica package file LISSAFIRE.m, taken from &lt;a href=""&gt;the LISSAFIRE package&lt;/a&gt;.&lt;/li&gt;
	&lt;li&gt;The Blender files used to render the polarimetry and experimental-setup schemes of Fig. 3(a,b).&lt;/li&gt;
	&lt;li&gt;Copies of all the figures in the paper, as well as some equivalent figures covering the full data range that were not included in the paper due to space constraints.&lt;/li&gt;

&lt;p&gt;A related collection (&amp;#39;Torus-knot light beams&amp;#39; &lt;a href=""&gt;doi:10.5281/zenodo.2597667&lt;/a&gt;) contains 3D-printable models of some of the figures in this collection, and the Mathematica code used to produce them.&lt;/p&gt;

&lt;p&gt;This collection is presented on an as-is manner in the hope that it will be useful.&lt;/p&gt;

&lt;p&gt;The copyright of this collection rests with the authors (2018). It is made available under the Creative Commons Attribution-ShareAlike 4.0 (&lt;a href=""&gt;CC BY-SA 4.0&lt;/a&gt;) license.&amp;nbsp;For any academic use that results in a publication, please cite the main paper.&lt;/p&gt;</description>
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