13-1解:DxdλΔ= ∴432.270.65.44810mm545nm2.510xdDλ−Δ⋅×===×=×13-2解:(1)相邻明纹的间距73425.5105.510m210Dxdλ−−−Δ==××=××(2)两条第10级明纹中心的间距2100.11mLx=××Δ=(3)覆盖云母片以后,光程差变化,引起条纹移动,光程差每变化一个λ,条纹移动一条∴(1)neNδλΔ=−=67(1)(1.581)6.6107(5.510neNλ−−−−××===×条)即零级明纹移到原第7级明纹处。另解:放入云母片后,对零级明纹有21()0rrene−−+=设零级明纹此时在原来第k级明纹处∴21rrkλ−=即(1)7()nekλ−==级13-3解:(1)光源0S偏离中央轴线,设零级明纹中心移到0P,并设202SPr=,101SPr=则2211()()0lrlr+−+=∴21123rrllλ−=−=又21sinrrdθ−≈0tanOPDθ=Dd>>,θ很小∴021OPrrdD−≈0213()DDOPrrddλ=−=(2)设屏上第k级明纹离O点为xk,光程差2211()()lrlrkλΔ=+−+=2112()3rrkllkλλλ−=+−=+又21kxrrdD−≈∴21()(3)kDDxrrkddλλ=−=+即1kkDxxxdλ+Δ=−=13-4解:欲使零级明纹移回到O点,应在下缝处覆盖云母片,此时满足1122()()0lrlrene+−+−+=移到O点时有12rr=∴7612335.89103.0510m111.581llennλ−−−××====×−−−13-5解:垂直入射时,反射干涉极大的光波之长满足2(1,2,)2nekkλλ+==�∴441.3338002121nekkλ××==−−计算可知,在可见光范围内只有k=2时,026739Aλ=(红色)k=3时,034043Aλ=(紫色)透射光干涉极大有2nekλ=∴2nekλ=对可见光,当k=2时,0221.3338005054A2λ××′==(绿色)13-6解:(1)在上表面反射时产生半波损失,有222sin2enikλλ−+=最薄厚度时k=1∴707222251021.01510m1015A2sin41.330.5eniλλ−−−×===×=−−(2)垂直入射有22nekλλ+=∴221.3310151122nekkλ××==−−k=1时,015399.8Aλ=(绿色)k=2时,021799.9Aλ=(不可见)13-7解:反射光在膜的上下表面反射时均有半波损失∴2212nekλ油=(+)对015000Aλ=,112212nekλ油=(+)027000Aλ=,222212nekλ油=(+)因1λ和2λ之间没有反射光消失,应有211kk=−得121215000700032()2(70005000)kλλλλ++===−−∴膜厚101500021(61)226731A221.30kenλ+×==×油(+)=13-8解:设膜厚为e对1630nmλ=干涉极大∴1122nekλλ+=对2525nmλ=干涉极小∴22222neλλ+=(2k+1)∴1122kkλλλ−=得11263032()2(630525)kλλλ===−×−23525592.1nm221.33kenλ×===×13-9解:(1)两相邻暗纹高度差340nm2eλΔ== 0lleD=Δ∴505...