[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： n_X)6 s  
% By Ruibin 08-9-25 +Tug.[A  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. W8R"X~!V  
 !xz0zT.  
clear all;clc Nn%[J+
F  
Y^~Dr|5%  
% The Frist Step: Define independent parameters eURj'8o),  
r=3.25;               %选择开孔半径 ;"77?)  
R=4.25;               %定义曲面底部半径 @3F4Lg6H|  
d=1;                  %设置透镜前方平板高度 xmI!N0eta  
n=1.4935;             %定义材料折射率 6+hx64 =  
dividing_angle=24;    %定义Core与TIR的分界角 FV->226o%  
min_angle=1;          %设置计算精度 N4JJA+  
N=4;                  %设定拟合非球面系数阶数 m$X0O_*A  
lQSKY}h  
% The Second Step：Caculate induced variable ^k7`:@ z0U  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); +jPs0?}s  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); eJ3w}"?9s  
for i=1:(num_Core) '*6S0zt  
a_Core(i)=(angles_Core(i)*pi/180); KPcOW#.T  
k1(i)=cot(a_Core(i)); %3r`EIB6  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); 97%S{_2m/  
end x&SG gl
 
k1(num_Core)=999;k2(num_Core)=0; mDT"%I"4j  
for i=1:num_TIR `X06JTqf:  
a_TIR(i)=(angles_TIR(i)*pi/180); mrgi
eb%  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); O*8.kqlgt  
k4(i)=tan(asin(cos(a_TIR(i))/n)); B]o5HA<k  
end G(~ s(r{%I  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); cU^Z=B  
/Dl{I7W  
% The Third Step:Solve functions ~RRp5x _  
for i=1:num_Core                    %Solve the curve of Core a2MFZe  
syms x; pSvqG
JU3  
f1=k1(i)*x; fi6i{(K  
f2=k2(i)*(x-X0_Core)+Y0_Core; K~ 6[zJ4  
f=f1-f2; d 18>0R  
x=double(solve(f));y=k1(i)*x; e{"r3*  
X0_Core=x;Y0_Core=y; eiJ13`T  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; drr n&y  
end EqV]/0-\  
for i=1:num_TIR                      %Solve the curve of TIR G{ 9p.Q  
syms x; 4*K~6Vh  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; sKvz<7pag  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); #BK3CD(&  
f=f1-f2; 8 )W{&#C>  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; {O4y Y=G  
X0_TIR=x;Y0_TIR=y; rk$$gXg9/  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; .D~ZE94@  
end X \1grM  
iAOm[=W  
% The furth Step:Fitting the curve tocZO  
P_Core=polyfit(Px_Core,Py_Core,4); sSM^net0  
P_TIR=polyfit(Px_TIR,Py_TIR,4); 1m52vQSo3l  
_h=kjc}[.O  
% The fifth Step:Feedback chief dimensions of the lens and Create it 'k?%39  
%Feedback dimensions of the whole lens ]CFh0N|(L  
result='透镜尺寸如下：' jI-\~  
Diameter_of_lens=2*Px_TIR(num_TIR) / p_mFA]@  
Thickness_of_lens=Py_TIR(num_TIR)+d ?-y!FD}m&  
Diameter_of_Core=2*r 9&>)4HNd?  
Thickness_of_front_pannel=d /qYo*S_cG  
Bottom_thickness=R-r 1Rrl59}5  
Lowest_Core=P_Core(5) &g{b5x{iD  
bR6g^Yf  
%Feedback dimensions of Lens part TIR $!(J4v=X  
result='TIR系数如下：' Vz"Ja  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d |m^qA](M  
Aperture=Px_TIR(num_TIR) [%8t~zg  
Obstruction=r Hq[vh7Lux  
Position=P_TIR(5) %,l+
?fF  
format short e; 8op,;Z7Y  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] ~s :Ml  
format short; @dy<=bh~  
DH#n7s'b  
%DDE Connection y?t2@f]!XK  
TP_COMMAND = ddeinit('TracePro','Scheme'); J73B$0FP  
%Create TIR .3{PgrZ  
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)))']; ]/o0p  
ddeexec(TP_COMMAND,cmd); u9t@%H)lZ  
cmd =['(entity:move TIR 0 0 -2.3712)']; i|@lUXBp  
ddeexec(TP_COMMAND,cmd); =`8%qh  
cmd =['(property:apply-name TIR "TIR")']; #hA]r.  
ddeexec(TP_COMMAND,cmd); V!sT2  
| JmEI9n2  
%Feedback dimensions of Lens part TIR * 5H  
result='Core系数如下：' n^svRM]eQ  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d 1@ e22\  
Aperture=r Q\P?[i]  
Obstruction='None' :V(+]<  
Position=P_Core(5) rQ^X3J*`
 
format short e; Hcp)Q76X  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] {HJzhIgCf  
format short; f{b$Y3  
%Create Core [r_YQ*+ej  
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; _1s\ztDpw  
ddeexec(TP_COMMAND,cmd); '8auj  
cmd =['(entity:move Core 0 0 5.9493)']; ^yO+-A2zC  
ddeexec(TP_COMMAND,cmd); [7K-
L6X  
cmd =['(property:apply-name Core "Core")']; q'07  
ddeexec(TP_COMMAND,cmd); .,)C^hs@  
Ur`jmB  
%Create Lens ,qx;
kJJ  
cmd =['(define Unite (bool:unite TIR Core))']; 0@FZQ$-  
ddeexec(TP_COMMAND,cmd); uafSz@`  
cmd =['(define block (insert:block 100 100 100))']; `
)9nBZ  
ddeexec(TP_COMMAND,cmd); W[5a'}OV  
cmd =['(entity:move block 0 0 -50)']; ;1S~'B&1Q  
ddeexec(TP_COMMAND,cmd); i2a""zac  
cmd =['(define Lens (bool:subtract Unite block))']; uxGY/Zf  
ddeexec(TP_COMMAND,cmd); m&GxLT6  
cmd =['(property:apply-name Lens "Lens")']; ]kJinXHW  
ddeexec(TP_COMMAND,cmd); >)/,5VSE  
C^}2::Qu  
%Close the DDE connection "T
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ddeterm(TP_COMMAND); j}0W|*  

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