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Abstract
The nonlinear transmission curves of the ${\rm{C}}{{\rm{o}}^{2 +}}:{\rm{MgA}}{{\rm{l}}_2}{{\rm{O}}_4}$ crystal at 1.5 µm are experimentally measured by the pump–probe technique. The measurement results demonstrate that the transition into the near-infrared absorption band is polarized not only along the ${C_3}$ local symmetry axis, but also along the direction perpendicular to the ${C_3}$ axis, arising from the distortion of oxygen tetrahedrons about the ${\rm{C}}{{\rm{o}}^{2 +}}$ ions along the four ${C_3}$ local symmetry axes. The obtained saturation curves are analyzed using a theoretical model taking into account the transition of ${\rm{C}}{{\rm{o}}^{2 +}}$ ions along two orthogonal directions. The ground-state absorption cross sections for polarization parallel and perpendicular to the ${C_3}$ axis are calculated to be $3.4 \times {10^{- 19}}\,\,{\rm cm^2}$ and $2.6 \times {10^{- 20}}\,\,{\rm cm^2}$, respectively. The excited-state absorption cross section for polarization parallel to the ${C_3}$ axis is estimated to be $4.2 \times {10^{- 20}}\,\,{\rm cm^2}$.
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