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Albert Fengгæ (³õÈëÎÄ̳)
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matlab·ÇÏßÐÔ·½³Ì×éÊýÖµÇó½â£¨¸ºË«Öá¾§Ìå·Ç¹²ÏßÏàλƥÅä½Ç¼ÆË㣩
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±¾ÈËÒª¼ÆËãBiBO¾§ÌåµÄ·Ç¹²ÏßµÄÏàλƥÅä½Ç£¬ÎïÀíÄ£ÐÍÎªÒ»Êø±ÃÆÖ¹â²úÉúÂú×ãÏàλÌõ¼þ»á²úÉúÁ½Êø×Ó¹âÊø£¬ÆäÓÐÒ»¶¨µÄ¼Ð½Ç¡£Çó±ÃÆÖ¹âÔÚ¾§ÌåÖеÄÏàλƥÅä½Ç¶È¡£ ±¾ÈËÖ÷·½³Ì clear all clc lambdap=0.39 %um lambdai=0.78 lambdas=0.78 nxp=f(lambdap) nxi=f(lambdai) nxs=f(lambdai) nyp=g(lambdap) nyi=g(lambdai) nys=g(lambdas) nzp=h(lambdap) nzi=h(lambdai) nzs=h(lambdas) alphaphi=0 %3/180*pi syms alpha beta thetap phip thetas phis thetai phii thetapie np=k(thetap,phip,lambdap); ns=l(thetas,phis,lambdas); ni=l(thetai,phii,lambdai); eq0=thetap-pi/2-thetapie eq1=phip-pi/2 eq2=2*np-cos(alpha)*ns-cos(beta)*ni eq3=sin(alpha)*ns-sin(beta)*ni eq4=ns*sin(alpha)-sin(alphaphi) eq5=cos(thetas)+sin(thetapie)*cos(alpha) eq6=cos(thetai)+sin(thetapie)*cos(beta) eq7=tan(phii)*sin(beta)-cos(thetapie)*cos(beta) eq8=tan(phis)*sin(alpha)+cos(alpha)*cos(thetapie) [alpha,beta,thetap,phip,thetas,phis,thetai,phii,thetapie]=solve(eq0,eq1,eq2,eq3,eq4,eq5,eq6,eq7,eq8,alpha,beta,thetap,phip,thetas,phis,thetai,phii,thetapie) µ÷Óú¯Êý£º function f=f(x) %BiBO nx f=sqrt(3.0740+0.0323/(x^2-0.0316)-0.01337*x^2); end %nx function g=g(x) %BIBO ny g=sqrt(3.1685+0.0373/(x^2-0.0346)-0.01750*x^2); end function h=h(x) %BIBO nz h=sqrt(3.6545+0.0511/(x^2-0.0371)-0.0226*x^2); end function k=k(theta,phi,lambda) kx=sin(theta)*cos(phi) ; ky=sin(theta)*sin(phi); kz=cos(theta); nx=f(lambda); ny=g(lambda); nz=h(lambda); a=nx^-2; b=ny^-2; c=nz^-2; B=-(sin(theta)*cos(phi))^2*(b+c)-(sin(theta)*sin(phi))^2*(a+c)-(cos(theta))^2*(a+b); C=(sin(theta)*cos(phi))^2*b*c+(sin(theta)*sin(phi))^2*a*c+(cos(theta))^2*a*b; k=sqrt(2)/sqrt(-B-sqrt(B^2-4*C)) %Âý¹â function l=l(theta,phi,lambda) kx=sin(theta)*cos(phi) ; ky=sin(theta)*sin(phi); kz=cos(theta); nx=f(lambda); ny=g(lambda); nz=h(lambda); a=nx^-2; b=ny^-2; c=nz^-2; B=-(sin(theta)*cos(phi))^2*(b+c)-(sin(theta)*sin(phi))^2*(a+c)-(cos(theta))^2*(a+b); C=(sin(theta)*cos(phi))^2*b*c+(sin(theta)*sin(phi))^2*a*c+(cos(theta))^2*a*b; l=sqrt(2)/sqrt(-B+sqrt(B^2-4*C)) %e2-¿ì¹â ½â³ýÀ´Î޽⠿ÉÄܲ»ÄÜÓÃsolve |
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