考虑楔形液晶盒,液晶指向矢倾角枋橇礁隹占浔淞縳,z的函数,即=(x,z).导出了液晶盒的吉布斯自由能,其中包括表面弹性自由能k13项.由拉格朗日-欧拉方程得到了(x,z)满足的微分方程.在k11≌k33近似下,方程变为二维拉普拉斯方程.在阈值厚度hc附近θ很小,方程的解可近似为=cz(qx-1).代入自由能表达式中,求极值可确定c和q的值.计算和讨论了k13项对液晶指向矢分布的影响.
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