Numerical Simulation of the He-Xe Discharge in an Plasma Display Panel

本文以二維多流體模型來模擬交流型電漿顯示器之氣體放電，放電槽內之氣體由90% He及10% Xe所組成，此放電模型包含3個一階積矩方程、帕松方程、及激發態粒子方程。藉由模擬所獲得的放電參數時變解，我們可以對此週期性的放電行為作一說明，文中並探討此模擬的發光效率，解釋各種激發態粒子的發光百分比，及能量在各種粒子中的分布狀況等;結果顯示，在我們所提供的電能中，90% 以上的能量被電子所帶走，因此電子掌控了整個放電的行為，而在發光效率的計算上，本模擬所得的結果為3.11%，較文獻上的結果低，主要原因除了化學反應率常數本身的影響外，就是在我們的高頻放電作用下，大部分的Xe*(3 P2,3 P1)粒子在半個週期內沒有釋放光能回復為基態，造成放電槽內此種粒子的累積，因而使發光效率低落;數值上，我們使用WENO2算則來解此放電氣體的雙曲線守衡律模型。Abstract In this study, a numerical simulation of the He-Xe gas discharge in an ac-type plasma display panel cell has been made by using two dimensional, multifluid equations. This model is based on a three-moments equation of electron and ion transport, coupled with Poisson’s equation and excited particle equations. From the solutions of the time-dependent discharge parameters, we can make a qualitative description of this periodic discharge behavior. Furthermore, we discuss the UV light efficiency of the simulation, explain the emission percentage of various kinds of excited state species, and the energy distribution on different particles. In our result, due to that above 90% of the supplying energy is taken by electrons, the whole discharge behavior is dominated by electrons. The UV production efficiency of this simulation is 3.11%, which is rather low. This is due to the difference of the chemical reaction rate constant itself, and the fact that most of the Xe*(3 P2,3 P1) particles keep their original state without emitting photo energy during half period. Numerically, a high resolution WENO2 scheme is used to solve this model which is formulated in conservation law form