光栅尺原理及其应用

1Moire200MoireFringe1212345678NMKMNKMNI(-3,-1)(-2,0)(-1,1)(0,2)(1,3)…K2II(-2,-1)(-1,0)(0,1)(1,2)(2,3)…K1III(-1,-1)(0,0)(1,1)(2,2)(3,3)…K0P1P2θ21sincosMPyxNPx=−=θθθθθsinsincos1121KPPPPxy−−=Wyφθθϕθcos2sinsincos2212221121222121PPPPPPPPPPPW−+=−+=ϕϕsinKWxctgy−=1P1P2Pθ2902sin2θϕθθ+=≈=DPPW2θ021210sinPPPPW−==ϕP1P2Pnmqnmqqq1∫∑−∞−∞=−==2/2/)exp()(1)exp()(PPnnnxjnxfPCxjnCxfωω[]∑∞=+=1)cos()2/(sin2)(nnncPPxfωτωτττ2π/PG1G2)()()(21GfGfTf=1232123Wθ/PW=Nδδ±=45Vcp6minmaxminmax2VVVVVVMcpppd+−==−1PP2sinsinsinλγαλγ=+=αγ−=2ππ/21210π/2π3π/22LED12G143110101001001101011000100000111010001100101000000101001137/21/0==mφφ21MT914mm±0.00127mm2mLµ[phone]abcrRW22α=Rrα2defsRW22α=R2sα312φ018032180D++=ϕϕϕδδxD180+ϕϕδδ45:::,TV11N1h1N2h2)/(NPdNPlhN−=2)/2(2121)(PxgxTπ+=PgII0+=)/2(21210PxgIIπP'llhPP/)(+=′φπcos])/(2[212101++=PlhlxgIIφ)(:)(:)(0lhxdhxx+−=−+⋅++++++++=lhlxPglhlxhdPglhlxPglhlxhdPglIππππφ222214cos02g1)])(2cos211[4cos)(0lhPdhIzf++=πφ2]2cos121[4cos)(1220++=∑∞=lhndhPnIzfnππφ2NPflfdNPfllhV)()(−−−=1,NN,2/(N+1),N+1NN+1Carré2,a.b.c./CAD/CAM,60“”“”(CNC)xxyyzz1z(A21a)zyyy(500mm)2y(A21b)zyyy3(A21cd)x10m4(A21ef)5(A21gh)(1)()1/4V(2)()(3)A225“”16x1y3z01mm.z1410111314z215xyz10()