Closed-Aperture Z-Scan Analysis for Nonlinear Media with Saturable Absorption and Simultaneous Third- and Fifth-Order Nonlinear Refraction

<table>Normalized transmittances <svg height="15.0875" id="M148" style="vertical-align:-2.3205pt" version="1.1" viewbox="0 0 31.674999 15.0875" width="31.674999" 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="#x1D447"></use></g><g transform="matrix(.017,-0,0,-.017,11.384,12.138)"><use xlink:href="#x28"></use></g><g transform="matrix(.017,-0,0,-.017,17.265,12.138)"><use xlink:href="#x1D467"></use></g><g transform="matrix(.017,-0,0,-.017,25.731,12.138)"><use xlink:href="#x29"></use></g>
</svg> for different aperture size <svg height="11.75" id="M149" style="vertical-align:-0.23206pt" version="1.1" viewbox="0 0 8.2875004 11.75" width="8.2875004" 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>
</svg> with <svg height="21.700001" id="M150" style="vertical-align:-3.98439pt" version="1.1" viewbox="0 0 84.787498 21.700001" width="84.787498" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,16.675)"><use xlink:href="#x394"></use></g><g transform="matrix(.017,-0,0,-.017,10.959,16.675)"><use xlink:href="#x1D719"></use></g>
<g transform="matrix(.012,-0,0,-.012,20.563,21.488)"><use xlink:href="#x30"></use></g><g transform="matrix(.012,-0,0,-.012,20.563,8.513)"><use xlink:href="#x28"></use></g><g transform="matrix(.012,-0,0,-.012,24.679,8.513)"><use xlink:href="#x33"></use></g><g transform="matrix(.012,-0,0,-.012,30.391,8.513)"><use xlink:href="#x29"></use></g>
<g transform="matrix(.017,-0,0,-.017,39.85,16.675)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,54.537,16.675)"><use xlink:href="#x2212"></use></g><g transform="matrix(.017,-0,0,-.017,64.515,16.675)"><use xlink:href="#x30"></use></g><g transform="matrix(.017,-0,0,-.017,72.675,16.675)"><use xlink:href="#x2E"></use></g><g transform="matrix(.017,-0,0,-.017,76.55,16.675)"><use xlink:href="#x35"></use></g>
</svg> and <svg height="21.700001" id="M151" style="vertical-align:-3.98439pt" version="1.1" viewbox="0 0 74.8125 21.700001" width="74.8125" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,16.675)"><use xlink:href="#x394"></use></g><g transform="matrix(.017,-0,0,-.017,10.959,16.675)"><use xlink:href="#x1D719"></use></g>
<g transform="matrix(.012,-0,0,-.012,20.563,21.488)"><use xlink:href="#x30"></use></g><g transform="matrix(.012,-0,0,-.012,20.563,8.513)"><use xlink:href="#x28"></use></g><g transform="matrix(.012,-0,0,-.012,24.679,8.513)"><use xlink:href="#x35"></use></g><g transform="matrix(.012,-0,0,-.012,30.391,8.513)"><use xlink:href="#x29"></use></g>
<g transform="matrix(.017,-0,0,-.017,39.85,16.675)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,54.537,16.675)"><use xlink:href="#x30"></use></g><g transform="matrix(.017,-0,0,-.017,62.696,16.675)"><use xlink:href="#x2E"></use></g><g transform="matrix(.017,-0,0,-.017,66.572,16.675)"><use xlink:href="#x31"></use></g>
</svg> and at <svg height="16.4125" id="M152" style="vertical-align:-3.39066pt" version="1.1" viewbox="0 0 101.1 16.4125" width="101.1" 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="#x1D43C"></use></g>
<g transform="matrix(.012,-0,0,-.012,7.487,16.212)"><use xlink:href="#x30"></use></g>
<g transform="matrix(.017,-0,0,-.017,13.825,12.138)"><use xlink:href="#x28"></use></g><g transform="matrix(.017,-0,0,-.017,19.707,12.138)"><use xlink:href="#x30"></use></g><g transform="matrix(.017,-0,0,-.017,27.866,12.138)"><use xlink:href="#x29"></use></g><g transform="matrix(.017,-0,0,-.017,33.748,12.138)"><use xlink:href="#x2F"></use></g><g transform="matrix(.017,-0,0,-.017,40.751,12.138)"><use xlink:href="#x1D43C"></use></g>
<g transform="matrix(.012,-0,0,-.012,48.175,16.212)"><use xlink:href="#x1D460"></use></g>
<g transform="matrix(.017,-0,0,-.017,57.988,12.138)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,72.674,12.138)"><use xlink:href="#x30"></use></g><g transform="matrix(.017,-0,0,-.017,80.834,12.138)"><use xlink:href="#x2E"></use></g><g transform="matrix(.017,-0,0,-.017,84.71,12.138)"><use xlink:href="#x33"></use></g><g transform="matrix(.017,-0,0,-.017,92.869,12.138)"><use xlink:href="#x33"></use></g>
</svg>. </table>

Physics Research International

fig4

Figure 4

Figure 4: Closed-Aperture Z-Scan Analysis for Nonlinear Media with Saturable Absorption and Simultaneous Third- and Fifth-Order Nonlinear Refraction 