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    [求助]matlab画准直透镜曲线? [复制链接]

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    离线2102
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    只看该作者 10楼 发表于: 2013-04-16
    謝謝大大的分享
    离线gsh1128
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    只看该作者 11楼 发表于: 2013-06-24
    算出来也就自然画出来了啊
    离线ciomplj
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    只看该作者 12楼 发表于: 2014-06-22
    谢谢哈~
    离线hjg888
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    只看该作者 13楼 发表于: 2014-09-25
    看一下
    离线zouzili
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    只看该作者 14楼 发表于: 2014-12-29
    下来看看
    离线whyhao99
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    只看该作者 15楼 发表于: 2015-07-15
    学习一下
    离线wenge
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    只看该作者 16楼 发表于: 2016-01-11
    看看吧
    离线liunian
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    只看该作者 17楼 发表于: 2016-07-13
    看看e:matlab画准直透镜曲线?
    离线liunian
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    只看该作者 18楼 发表于: 2016-07-13
    程序如下: #E]59_  
    % By Ruibin 08-9-25 b Zt3|  
    % InstructionThis program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. t,' <gI  
    TZ`SZDc7_  
    clear all;clc JI5Dy>u:  
    s^SJY{  
    % The Frist Step: Define independent parameters pot~<d`:K"  
    r=3.25;               %选择开孔半径 Mihg:  
    R=4.25;               %定义曲面底部半径 pk~WrqK}  
    d=1;                  %设置透镜前方平板高度 ;}t(Wnu.  
    n=1.4935;             %定义材料折射率 adw2x pj  
    dividing_angle=24;    %定义CoreTIR的分界角 4P0}+  
    min_angle=1;          %设置计算精度 D{!IW!w  
    N=4;                  %设定拟合非球面系数阶数 zreU')a  
    T0 {Lq:  
    % The Second StepCaculate induced variable n`KY9[0U=  
    angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); #;<Y[hR{P  
    num_Core=length(angles_Core);num_TIR=length(angles_TIR); =">NQ)98u  
    for i=1:(num_Core) v>56~AJ  
    a_Core(i)=(angles_Core(i)*pi/180); ~XIb\m9H  
    k1(i)=cot(a_Core(i)); D,6:EV"sa  
    k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); /O9EQPm(  
    end +h$ 9\  
    k1(num_Core)=999;k2(num_Core)=0; Ep}s}Stlr}  
    for i=1:num_TIR nP$9CA  
    a_TIR(i)=(angles_TIR(i)*pi/180); d'2A,B~_*  
    k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); y)*RV;^  
    k4(i)=tan(asin(cos(a_TIR(i))/n)); <uJ@:oWG7  
    end ctUp=po  
    X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); Uz7<PLxd  
    W%J\qA  
    % The Third Step:Solve functions A=4OWV?  
    for i=1:num_Core                    %Solve the curve of Core 5X+A"X ;C  
    syms x; qb4z T  
    f1=k1(i)*x; He)%S]RLk  
    f2=k2(i)*(x-X0_Core)+Y0_Core; BuwY3F\-O  
    f=f1-f2; UI#h&j5pW  
    x=double(solve(f));y=k1(i)*x; `2snz1>!j  
    X0_Core=x;Y0_Core=y; {8aTV}Ha2  
    Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; ;);kEq/=P  
    end 6wxs1G  
    for i=1:num_TIR                      %Solve the curve of TIR M`>E|" <  
    syms x; % `3jL7|  
    f1=k3(i)*(x-X0_TIR)+Y0_TIR; M}Sv8D]I  
    f2=k4(i)*(x-r)+r*cot(a_TIR(i)); 26nx`w?j(  
    f=f1-f2; $^ P0F9~0  
    x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; 4Up/p&1@  
    X0_TIR=x;Y0_TIR=y; O84i;S+-p  
    Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; xA/D'  
    end nwWJ7M,A  
    v1[29t<I!  
    % The furth Step:Fitting the curve ys~x $  
    P_Core=polyfit(Px_Core,Py_Core,4); Dj+f]~  
    P_TIR=polyfit(Px_TIR,Py_TIR,4); TNth   
    &vJH$R  
    % The fifth Step:Feedback chief dimensions of the lens and Create it ]! dTG  
    %Feedback dimensions of the whole lens weQ_*<5%  
    result='透镜尺寸如下:' "8RSvT<W^5  
    Diameter_of_lens=2*Px_TIR(num_TIR) ] @'!lhLi  
    Thickness_of_lens=Py_TIR(num_TIR)+d q@qsp&0/  
    Diameter_of_Core=2*r Zh,71Umz  
    Thickness_of_front_pannel=d ,^:.dFH6  
    Bottom_thickness=R-r R8 T x[CJ5  
    Lowest_Core=P_Core(5) TO_e^A#  
    yZRzIb_  
    %Feedback dimensions of Lens part TIR ?0SEMmp`H  
    result='TIR系数如下:' xmX 4qtAL  
    Thickness=Py_TIR(num_TIR)-P_TIR(5)+d u"8yK5!  
    Aperture=Px_TIR(num_TIR) 1,~D4lD|  
    Obstruction=r OPi0~s  
    Position=P_TIR(5) `gJ(0#ac  
    format short e; Vj-h;rB0z  
    Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] P3%5?.S  
    format short; nEfK53i_  
    GmG 5[?)  
    %DDE Connection %*U'@r(A  
    TP_COMMAND = ddeinit('TracePro','Scheme'); G6/m#  
    %Create TIR iwq!w6+  
    cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; GeqPRah  
    ddeexec(TP_COMMAND,cmd); qLCR] _*  
    cmd =['(entity:move TIR 0 0 -2.3712)']; 2T1q?L?]  
    ddeexec(TP_COMMAND,cmd); -} +[  
    cmd =['(property:apply-name TIR "TIR")']; 2/f}S?@   
    ddeexec(TP_COMMAND,cmd); CAe!7HiR  
    R/_&m$ZB  
    %Feedback dimensions of Lens part TIR omFz@  
    result='Core系数如下:' @c#(.=  
    Thickness=Py_TIR(num_TIR)-P_Core(5)+d =v\.h=~~  
    Aperture=r lMt=|66  
    Obstruction='None' O< I-  
    Position=P_Core(5) fOHxtHM  
    format short e;  bLL2  
    Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] 3 {V>S,O3]  
    format short; QnDg 6m)+  
    %Create Core D=$)n_F  
    cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; YQ} o?Q$z  
    ddeexec(TP_COMMAND,cmd); ~rm_vo  
    cmd =['(entity:move Core 0 0 5.9493)']; -/4P3SG/  
    ddeexec(TP_COMMAND,cmd); jo7\`#(Q  
    cmd =['(property:apply-name Core "Core")']; o4;(Zi#Z  
    ddeexec(TP_COMMAND,cmd); vX>)je5#  
    b$7 +;I;  
    %Create Lens ~,Qp^"rlW  
    cmd =['(define Unite (bool:unite TIR Core))']; *i,%,O96Nz  
    ddeexec(TP_COMMAND,cmd); NHt\ U9l'  
    cmd =['(define block (insert:block 100 100 100))']; [;N'=]`  
    ddeexec(TP_COMMAND,cmd); SJLis"8  
    cmd =['(entity:move block 0 0 -50)']; 2!\D PX  
    ddeexec(TP_COMMAND,cmd); N[hG8f  
    cmd =['(define Lens (bool:subtract Unite block))']; [Pp'Ye~K@c  
    ddeexec(TP_COMMAND,cmd); =D(j)<9$A  
    cmd =['(property:apply-name Lens "Lens")']; xo)P?-  
    ddeexec(TP_COMMAND,cmd); ]|@^1we  
    <v2;p}A  
    %Close the DDE connection ^ 9sjj  
    ddeterm(TP_COMMAND); jdN` mosJ  
    离线leav01
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    只看该作者 19楼 发表于: 2016-11-22
    学习学习