Generation of Bessel Surface Plasmon Polaritons in a Finite-Thickness Metal Film

<table>The derivative of the phase of <svg height="11.175" id="M181" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 10.7 11.175" width="10.7" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.113)"><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> function versus the real part of Bessel surface plasmon polariton mode effective index for the gold film of 50 nm (—), 30 nm (- - -), and 20 nm (<svg height="5.4250002" id="M182" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 19.450001 5.4250002" width="19.450001" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,5.363)"><path d="M215 255q0 -26 -16 -42t-40 -16q-25 0 -40.5 16t-15.5 42q0 24 16 40.5t40 16.5t40 -16.5t16 -40.5zM541 255q0 -26 -16 -42t-40 -16q-25 0 -40.5 16t-15.5 42q0 24 16 40.5t40 16.5t40 -16.5t16 -40.5zM867 255q0 -26 -16 -42t-40 -16q-25 0 -40.5 16t-15.5 42
q0 24 16 40.5t40 16.5t40 -16.5t16 -40.5z" id="x22EF"></path></g>
</svg>) embedded in ZrO<sub>2</sub>.</table>

International Journal of Optics

fig6

Figure 6

Figure 6: Generation of Bessel Surface Plasmon Polaritons in a Finite-Thickness Metal Film 