简介：垂直洞的射出表面的激光(VCSEL)的热稳定性数组被重新设计方山安排提高。基于热电的联合三维(3D)有限元素的模型，一个优化VCSEL数组被设计。这优化的效果试验性地被学习。有不同方山配置的VCSEL数组的力量密度特征在优化设备表演在改进了性能的不同热应力下面被获得。优化设备也从测量系列和计算热电阻显示出更好的稳定性。试验性的结果证明我们的模拟模型和优化为VCSEL数组设计是有启发性的。

简介：Amultilayerflowisastratifiedfluidcomposedofafinitenumberoflayerswithdensitieshomogeneouswithinonelayerbutdifferentfromeachother.Itisanintermediatesystembetweenthesingle-layerbarotropicmodelandthecontinuouslystratifiedbaroclinicmodel.Sincethissystemcansimulatethebarocliniceffectsimply,itiswidelyusedtostudythelarge-scaledynamicprocessinatmosphereandocean.Thepresentpaperisconcernedwiththelinearstabilityofthemultilayerquasi-geostrophicflow,andtheassociatedlinearstabilitycriteriaareestablished.Firstly,thenonlinearmodelisturnedintotheformofaHamiltoniansystem,andabasicflowisdefined.ButitcannotbeanextremepointoftheHamiltonianfunctionsincethesystemisaninfinite-dimensionalone.Therefore,itisnecessarytoreconstructanewHamiltonianfunctionsothatthebasicflowbecomesanextremepointofit.Secondly,thelinearizedequationsofdisturbancesinthemultilayerquasi-geostrophicflowarederivedbyintroducinginfinitesimaldisturbancessuperposedonthebasicflows.Finally,thepropertiesofthelinearizedsystemarediscussed,andthelinearstabilitycriteriainthesenseofLiapunovarederivedundertwodifferentconditionswithrespecttocertainnorms.