[求助]matlab画准直透镜曲线？ [复制链接]

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算出来也就自然画出来了啊

谢谢哈~

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看看e:matlab画准直透镜曲线？

程序如下： oN1D&*  
% By Ruibin 08-9-25 pt<zyH3Z  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. !rUP&DA  
?Zb+xNKJ(  
clear all;clc :.x(( FU  
&!8 WRJ  
% The Frist Step: Define independent parameters QXkA%'@'  
r=3.25;               %选择开孔半径 *2zp>(%  
R=4.25;               %定义曲面底部半径 GY]P(NU  
d=1;                  %设置透镜前方平板高度 Pzs
o^^g  
n=1.4935;             %定义材料折射率 \(Sly&gL  
dividing_angle=24;    %定义Core与TIR的分界角 Cb;6yE)!Z  
min_angle=1;          %设置计算精度 z)3TB&;  
N=4;                  %设定拟合非球面系数阶数 XZ%,h  
[Fr](&Tx  
% The Second Step：Caculate induced variable -+WAaJ(b  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); Fv~lasW[  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); '3>;8(sl  
for i=1:(num_Core) huC{SzXM  
a_Core(i)=(angles_Core(i)*pi/180); a
oN\n]g  
k1(i)=cot(a_Core(i)); ,clbD4  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); ]pR?/3  
end ,{0Y:/T'  
k1(num_Core)=999;k2(num_Core)=0; Z Ts*Y,  
for i=1:num_TIR }n9(|i+  
a_TIR(i)=(angles_TIR(i)*pi/180); Ixxs(  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); xOTvrX  
k4(i)=tan(asin(cos(a_TIR(i))/n)); <[db)r~c  
end u} mj)Nk  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); B"GC|}N)v  
o+1(N#?m9  
% The Third Step:Solve functions 7%^G]AFi  
for i=1:num_Core                    %Solve the curve of Core 3:WqUb\QK  
syms x; f]NLR>$L}  
f1=k1(i)*x; PF~@@j  
f2=k2(i)*(x-X0_Core)+Y0_Core; d1D f`  
f=f1-f2; 9mi@PW}1  
x=double(solve(f));y=k1(i)*x; HgQjw!  
X0_Core=x;Y0_Core=y; v,-Tk=qP  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; |A3"Jc.2o  
end W>pe-  
for i=1:num_TIR                      %Solve the curve of TIR W3.[d->X  
syms x; O\=Z;}<N  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; {lds?AuK  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); ,XT,t[w  
f=f1-f2; JG!B3^qB  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; %ztZ#h~g  
X0_TIR=x;Y0_TIR=y; R{@saa5I(>  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; 7:UeE~uB:  
end Ub3$`  
[PIMG2"G  
% The furth Step:Fitting the curve xv]z>4@z,  
P_Core=polyfit(Px_Core,Py_Core,4); J||g(+H>  
P_TIR=polyfit(Px_TIR,Py_TIR,4); Dmh$@Uu#F  
if'=W6W  
% The fifth Step:Feedback chief dimensions of the lens and Create it S F)$b  
%Feedback dimensions of the whole lens {I{ 0rV  
result='透镜尺寸如下：' nd'D0<%  
Diameter_of_lens=2*Px_TIR(num_TIR) M1Q&)am  
Thickness_of_lens=Py_TIR(num_TIR)+d !BoGSI  
Diameter_of_Core=2*r !4p{b f  
Thickness_of_front_pannel=d ;?Pz0,{h  
Bottom_thickness=R-r M XG>|  
Lowest_Core=P_Core(5) pf8'xdExH)  
L2VwW  
%Feedback dimensions of Lens part TIR Q
,NnB{R  
result='TIR系数如下：' tiZH;t';<  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d )la3GT*1mS  
Aperture=Px_TIR(num_TIR) j3sz"(  
Obstruction=r &y_t,8>5  
Position=P_TIR(5) &;$uU  
format short e; MD[hqshoh  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] Y(,RJ&7  
format short; 2? E;(]dQ  
5p.rd0T]l3  
%DDE Connection ]xvA2!)Q  
TP_COMMAND = ddeinit('TracePro','Scheme'); V[.{cY?6  
%Create TIR w[z=x  
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)))']; "(mJupI  
ddeexec(TP_COMMAND,cmd); %wbdg&^  
cmd =['(entity:move TIR 0 0 -2.3712)']; ]O|>nT
a  
ddeexec(TP_COMMAND,cmd); :-x?g2MY  
cmd =['(property:apply-name TIR "TIR")']; 0N1t.3U  
ddeexec(TP_COMMAND,cmd); ranem0KQ)]  

hlVC+%8  
%Feedback dimensions of Lens part TIR ' #K@%P  
result='Core系数如下：' dC6>&@ VX  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d g=td*S  
Aperture=r 'fn}I0Vc  
Obstruction='None' G!F
dTvx$  
Position=P_Core(5) Oem1=QpaC  
format short e; AON |b\?  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] @JSWqi>  
format short; T.#_v#oM  
%Create Core >"/TiQt  
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)))']; _&=`vv'  
ddeexec(TP_COMMAND,cmd); Apu-9|oP  
cmd =['(entity:move Core 0 0 5.9493)']; bm;iX*~  
ddeexec(TP_COMMAND,cmd); O+-+=W  
cmd =['(property:apply-name Core "Core")']; T]0K4dp+  
ddeexec(TP_COMMAND,cmd); 4b}p[9k  
Ls2O
nL9  
%Create Lens KLe6V+ki*  
cmd =['(define Unite (bool:unite TIR Core))']; z_(l]Ern}  
ddeexec(TP_COMMAND,cmd); Z&^vEQ  
cmd =['(define block (insert:block 100 100 100))']; Q^{TcL8  
ddeexec(TP_COMMAND,cmd); @C-dCC?  
cmd =['(entity:move block 0 0 -50)'];
1 k!gR  
ddeexec(TP_COMMAND,cmd); ^fKKsfIf  
cmd =['(define Lens (bool:subtract Unite block))']; Ie!KIU  
ddeexec(TP_COMMAND,cmd); Z(:\Vj"  
cmd =['(property:apply-name Lens "Lens")']; 3~`\FuHHe  
ddeexec(TP_COMMAND,cmd); dtu
CA"D  
%#%YU|4R  
%Close the DDE connection >XZ2w_  
ddeterm(TP_COMMAND); -}@C9Ja[?  

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