简介:由于Newman有理算子对|x|逼近效果较好,所以考虑利用Newman-α型有理算子对|x|~α进行逼近.构造Newman-α型有理算子,讨论Newman-α算子在Chebyshev结点组下逼近|x|~α的收敛速度,最后得到精确的逼近阶为O(1/(n~αlogn)).该结果包含了α=1时的情形.
简介:Magnetoplasmonicsensorsareattractivecandidatesforultrasensitivechemicalandbiomedicalsensorapplications.Avarietyofferromagneticmetalthinfilmshavebeenusedformagnetoplasmonicdeviceapplications,yetthedependenceofsensorperformanceontheopticalandmagneto-opticalpropertiesofferromagneticmetalmaterialshasbeenrarelystudied.Inthiswork,wereportthestudyofenhancedmagneto-opticalKerreffect(MOKE)andsensingperformanceinAu∕FexCo1-xbilayermagneto-opticalsurfaceplasmonresonance(MOSPR)transducers.TheopticalconstantsofFexCo1-x(x=0,0.29,0.47,0.65,and1)inasputter-depositedAu∕FexCo1-xdevicearecharacterizedbytheattenuatedtotalinternalreflection(ATR)method.FexCo1-xthinfilmsshowdifferentMOKEsasafunctionofthechemicalconcentration,withthehighesttransverseMOKEsignalobservedinFe0.7Co0.3.Indexsensingperformanceiscloselyrelatedtothematerial’sopticalandmagneto-opticalconstants.BystudyingthesensingperformanceintheparameterspaceoftheAu∕FexCo1-xbilayerthicknesses,thehighestsensitivityisfoundtobe0.385(theoretical)and0.306RIU-1(experimental)intheAu∕Fe0.7Co0.3MOSPRdevices.OurresearchhighlightstheinfluenceoftheopticalpropertiesofferromagneticmaterialtodevicesensitivityinMOSPRtransducers.ThehighsensitivityinAu∕FexCo1-xMOSPRdevicesmakethesestructuresattractivecandidatesforchemicalandbiomedicalsensingapplications.
简介:换代后的X1即使用脱胎换骨来形容也并不过分.因为它确实较之老款有了实质性的飞跃,上一代X1是基于3系旅行版(E91)平台设计而成,在同属紧凑型SUV的ABB三驾马车中,已经属于一个敦实的小胖了.虽说全新换代后的UKL前驱平台和1.5T的三缸机让不少宝马死忠们嗤之以鼻.但不可否认的是,换代后越级的后排空间确实更符合国人的购车需求,只能说,宝马的设计师团队对于国人的用车诉求摸得相当透彻.