Detector of Optical Vortices as the Main Element of the System of Data Transfer: Principles of Operation, Numerical Model, and Influence of Noise and Atmospheric Turbulence

<table>Two-dimensional probability density <svg height="16.625" id="M390" style="vertical-align:-3.56265pt" version="1.1" viewbox="0 0 65.324997 16.625" width="65.324997" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.138)"><use xlink:href="#x1D70C"></use></g><g transform="matrix(.017,-0,0,-.017,9.225,12.138)"><use xlink:href="#x28"></use></g><g transform="matrix(.017,-0,0,-.017,15.106,12.138)"><use xlink:href="#x1D43C"></use></g>
<g transform="matrix(.012,-0,0,-.012,22.538,16.213)"><use xlink:href="#x1D45F"></use></g><g transform="matrix(.012,-0,0,-.012,27.559,16.213)"><use xlink:href="#x30"></use></g>
<g transform="matrix(.017,-0,0,-.017,33.888,12.138)"><use xlink:href="#x2C"></use></g><g transform="matrix(.017,-0,0,-.017,40.585,12.138)"><use xlink:href="#x1D43C"></use></g>
<g transform="matrix(.012,-0,0,-.012,48.025,16.213)"><use xlink:href="#x1D45F"></use></g><g transform="matrix(.012,-0,0,-.012,53.046,16.213)"><use xlink:href="#x31"></use></g>
<g transform="matrix(.017,-0,0,-.017,59.388,12.138)"><use xlink:href="#x29"></use></g>
</svg> obtained with <svg height="16.4125" id="M391" style="vertical-align:-3.39066pt" version="1.1" viewbox="0 0 143.8625 16.4125" width="143.8625" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.138)"><use xlink:href="#x28"></use></g><g transform="matrix(.017,-0,0,-.017,5.944,12.138)"><use xlink:href="#x1D449"></use></g>
<g transform="matrix(.012,-0,0,-.012,18.562,16.212)"><use xlink:href="#x1D451"></use></g><g transform="matrix(.012,-0,0,-.012,25.166,16.212)"><use xlink:href="#x30"></use></g>
<g transform="matrix(.017,-0,0,-.017,31.5,12.138)"><use xlink:href="#x2C"></use></g><g transform="matrix(.017,-0,0,-.017,38.198,12.138)"><use xlink:href="#x1D449"></use></g>
<g transform="matrix(.012,-0,0,-.012,50.812,16.212)"><use xlink:href="#x1D451"></use></g><g transform="matrix(.012,-0,0,-.012,57.416,16.212)"><use xlink:href="#x31"></use></g>
<g transform="matrix(.017,-0,0,-.017,63.75,12.138)"><use xlink:href="#x29"></use></g><g transform="matrix(.017,-0,0,-.017,74.357,12.138)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,89.044,12.138)"><use xlink:href="#x28"></use></g><g transform="matrix(.017,-0,0,-.017,94.926,12.138)"><path d="M535 230h-483v50h483v-50z" id="x2212"></path></g><g transform="matrix(.017,-0,0,-.017,104.904,12.138)"><use xlink:href="#x31"></use></g><g transform="matrix(.017,-0,0,-.017,113.063,12.138)"><use xlink:href="#x2C"></use></g><g transform="matrix(.017,-0,0,-.017,119.778,12.138)"><use xlink:href="#x2212"></use></g><g transform="matrix(.017,-0,0,-.017,129.756,12.138)"><use xlink:href="#x32"></use></g><g transform="matrix(.017,-0,0,-.017,137.916,12.138)"><use xlink:href="#x29"></use></g>
</svg>, <svg height="15.6875" id="M392" style="vertical-align:-3.39066pt" version="1.1" viewbox="0 0 49.275002 15.6875" width="49.275002" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.4)"><use xlink:href="#x1D446"></use></g>
<g transform="matrix(.012,-0,0,-.012,8.225,15.475)"><use xlink:href="#x210E"></use></g><g transform="matrix(.012,-0,0,-.012,14.365,15.475)"><use xlink:href="#x1D465"></use></g>
<g transform="matrix(.017,-0,0,-.017,26.363,11.4)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,41.049,11.4)"><use xlink:href="#x30"></use></g>
</svg>, <svg height="15.4" id="M393" style="vertical-align:-3.39066pt" version="1.1" viewbox="0 0 91.675003 15.4" width="91.675003" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.112)"><use xlink:href="#x1D440"></use></g>
<g transform="matrix(.012,-0,0,-.012,17.412,15.187)"><use xlink:href="#x6F"></use></g><g transform="matrix(.012,-0,0,-.012,23.362,15.187)"><use xlink:href="#x75"></use></g><g transform="matrix(.012,-0,0,-.012,29.537,15.187)"><use xlink:href="#x74"></use></g><g transform="matrix(.012,-0,0,-.012,33.095,15.187)"><use xlink:href="#x65"></use></g><g transform="matrix(.012,-0,0,-.012,38.152,15.187)"><use xlink:href="#x72"></use></g>
<g transform="matrix(.017,-0,0,-.017,47.9,11.112)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,62.604,11.112)"><use xlink:href="#x35"></use></g><g transform="matrix(.017,-0,0,-.017,70.763,11.112)"><use xlink:href="#x1D45F"></use></g>
<g transform="matrix(.012,-0,0,-.012,77.938,15.187)"><use xlink:href="#x30"></use></g><g transform="matrix(.012,-0,0,-.012,83.649,15.187)"><use xlink:href="#x1D435"></use></g>
</svg>, and different values of <svg height="15.25" id="M394" style="vertical-align:-3.276pt" version="1.1" viewbox="0 0 17.85 15.25" width="17.85" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.112)"><use xlink:href="#x1D43F"></use></g>
<g transform="matrix(.012,-0,0,-.012,9.763,15.187)"><path d="M599 650l-18 -160l-30 -2q-2 70 -11 94q-5 16 -26 24t-75 8h-94q-27 0 -33.5 -6.5t-12.5 -32.5l-43 -226h108q52 0 72.5 5t31 18t28.5 52h28l-40 -200h-28q-1 42 -6 56.5t-24.5 21t-70.5 6.5h-108l-32 -177q-13 -65 1 -80.5t88 -22.5l-8 -28h-279l6 28q61 5 77.5 20.5
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</svg> and <svg height="11.425" id="M395" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 11.025 11.425" width="11.025" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.363)"><use xlink:href="#x394"></use></g>
</svg>.</table>

International Journal of Optics

fig9

Figure 9

Figure 9: Detector of Optical Vortices as the Main Element of the System of Data Transfer: Principles of Operation, Numerical Model, and Influence of Noise and Atmospheric Turbulence 

Figure 9 | Detector of Optical Vortices as the Main Element of the System of Data Transfer: Principles of Operation, Numerical Model, and Influence of Noise and Atmospheric Turbulence 