利用高游離態惰性氣體離子作為交互作用介質,有機會將非線性光學反應推進到極紫外光波段,本論文探討了使用Ar2+離子進行810-nm近紅外光與20–30-nm極紫外光之四波混頻的可行性。我們依據理論計算之四波混頻非線性極化係數與非線性聯立波動方程式,規劃了可行的實驗條件,並使用本實驗室之鈦藍寶石超高功率超短脈衝雷射系統來驅動極紫外光高階諧波,以進行上述四波混頻實驗。文中詳述所有實驗設計與架設,以及詳細實驗條件的診斷結果。初步實驗顯示,在理論預期之工作條件下,並未有四波混頻的輸出。我們詳細探討了可能的原因,並指出了未來改善的方向。;Using highly charged ion plasma as the interaction medium, there is an opportunity to advance the nonlinear optical reaction to the extreme ultraviolet light band. This paper discusses the feasibility of using Ar$^{2+}$ ions for four-wave mixing of 810-nm near-infrared light and 20-30 nm extreme ultraviolet light. Based on the theoretical calculation of the four-wave mixing nonlinear polarization coefficient and the nonlinear simultaneous wave equation, we planned the feasible experimental conditions, and used the Ti:Sapphire ultra-high-power ultra-short pulse laser system in our laboratory to drive the extreme ultraviolet light high-order harmonics generation to execute the four-wave mixing experiment. The design and installation of all experiments and the diagnosis of detailed experimental conditions are described in detail. Preliminary experiments show that there is no output of four-wave mixing under the working conditions of theoretical expectation, however, we still explore the possible causes and point out the direction of future improvement.