Birefringence modes of surface plasmon polariton at the interface of chiral and gold media

Abstract

We present a theoretical approach based on the density matrix formulation to investigate birefringence modes of surface plasmon polariton at the interface of chiral and gold media. The birefringence modes of surface plasmon polariton in the absorption and dispersion spectrums is controlled with probe field detuning. Furthermore, the propagation length/phase shift and the fractional change in the propagation length/phase shift in birefringence beams of surface plasmon polaritons are calculated and controlled under the same conditions. The possibility of birefringence modes of surface plasmon polariton may result into new imaging and compact nano-photonic devices.

Appendix

$G_2=\Delta _p-\left(\frac{i(\gamma _e+\gamma _1)}{2}+\frac{|\Omega _c|^2}{4(\Delta _p-i\frac{\gamma _b}{2})}\right)$

$G_1=\Delta _p-\left(\frac{i\gamma _b}{2}+\frac{|\Omega _c|^2}{4(\Delta _p-i\frac{(\gamma _1+\gamma _e)}{2})}\right)$

$B=\mu _0(H+M)$

$\alpha _{BB}=\frac{N\mu ^2_{31}{\widetilde{\rho }}^{(0)}_{11}}{\hbar {G}_1}$

$\alpha _{EB}=\frac{N\mu _{31}\varrho _{42}|\Omega _c|e^{i(\varphi _1-\varphi _2)}\rho ^{(0)}_{21}e^{i(\varphi _c+\varphi )}}{2\hbar {G}_1(\Delta _p-\frac{i(\gamma _1+\gamma _e)}{2})}$

$\alpha _{EE}=\frac{N\varrho ^2_{42}{\widetilde{\rho }}^{(0)}_{22}}{\hbar {G}_2}$