[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： OsrHA  
% By Ruibin 08-9-25 2FE13{+f  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. (zmLMG(R
 
Qo5yfdR  
clear all;clc ZL7#44  
+$;#bw)yH  
% The Frist Step: Define independent parameters kgv29j?k;  
r=3.25;               %选择开孔半径 )w_hbU_Pb&  
R=4.25;               %定义曲面底部半径 p=d,kY  
d=1;                  %设置透镜前方平板高度 KHTRoXt  
n=1.4935;             %定义材料折射率 K_Q-9j  
dividing_angle=24;    %定义Core与TIR的分界角  d5YL=o  
min_angle=1;          %设置计算精度 {hH8+4c7  
N=4;                  %设定拟合非球面系数阶数 M669G;w(K  
u[<ij  
% The Second Step：Caculate induced variable 2Kmnt(>  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); '44I}[cA/  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); ?^by3\,VZ  
for i=1:(num_Core) d(_;@%p1X  
a_Core(i)=(angles_Core(i)*pi/180); W[G5+*i  
k1(i)=cot(a_Core(i)); :#zVF[Y(2  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); =j!nt8]8  
end s}93nv*ez  
k1(num_Core)=999;k2(num_Core)=0; \hO}3;*&  
for i=1:num_TIR 3P|z`}Ka  
a_TIR(i)=(angles_TIR(i)*pi/180); UfNcI[xr  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); dsG:DS`q  
k4(i)=tan(asin(cos(a_TIR(i))/n)); Maw$^Tz,  
end IQ $/|b/  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); Yma-$ytp  
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% The Third Step:Solve functions i4dy0j
fN  
for i=1:num_Core                    %Solve the curve of Core m
:W+s4!E  
syms x; 5M? I-m  
f1=k1(i)*x; 6 9s%  
f2=k2(i)*(x-X0_Core)+Y0_Core; p;<aZ&@O  
f=f1-f2; ~j36(`t  
x=double(solve(f));y=k1(i)*x; %%{f-\-7Ig  
X0_Core=x;Y0_Core=y; A5IW[Gu!  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; \^3cN
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end [2.;gZj  
for i=1:num_TIR                      %Solve the curve of TIR 87-z=>IU  
syms x; Q-}cB  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; P_F0lO  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); cq4sgQ?sW  
f=f1-f2; p1']+4r
%  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; Rebo.6rG  
X0_TIR=x;Y0_TIR=y; ,CP&o  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; ?2<V./2F  
end q!
as~{!  
j
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% The furth Step:Fitting the curve `G<|5pe  
P_Core=polyfit(Px_Core,Py_Core,4); T( CTU/a-,  
P_TIR=polyfit(Px_TIR,Py_TIR,4); A,;[9J2\&  
*XkgwJq  
% The fifth Step:Feedback chief dimensions of the lens and Create it 
5gZ*  
%Feedback dimensions of the whole lens KSR'X0'  
result='透镜尺寸如下：' #^9a[ZLj0  
Diameter_of_lens=2*Px_TIR(num_TIR) 0I}c|V'P  
Thickness_of_lens=Py_TIR(num_TIR)+d ~mvD|$1z  
Diameter_of_Core=2*r {q/D,Rh8  
Thickness_of_front_pannel=d ~kOXMLRg  
Bottom_thickness=R-r |5(un/-C  
Lowest_Core=P_Core(5) F @uOXNz)  
.GiQC{@9w  
%Feedback dimensions of Lens part TIR |6w{%xC?"  
result='TIR系数如下：' Os[50j!4>  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d VX'G\Zz@h|  
Aperture=Px_TIR(num_TIR) >8EmfjUoc  
Obstruction=r e[g.&*!  
Position=P_TIR(5) "vo o!&<  
format short e; w^)_Fk3  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] ADT8A."R[  
format short; v4W<_ 7L_  
13MB1n  
%DDE Connection ;*>':-4  
TP_COMMAND = ddeinit('TracePro','Scheme'); BUU ) Sz  
%Create TIR "[2D&\$  
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)))']; xX\A&9m  
ddeexec(TP_COMMAND,cmd); qR^i5JH}u  
cmd =['(entity:move TIR 0 0 -2.3712)']; HC RmW'  
ddeexec(TP_COMMAND,cmd); T-.Bof(?w  
cmd =['(property:apply-name TIR "TIR")']; |K'7BK_^J  
ddeexec(TP_COMMAND,cmd); s%@HchZ 1  
!UX7R\qu|  
%Feedback dimensions of Lens part TIR X~rHNRIU  
result='Core系数如下：' ;s w3MRJ  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d f= 33+8I  
Aperture=r P+(Ys[J3  
Obstruction='None' %VGQ{:  
Position=P_Core(5) Yp6% @c6\  
format short e; F5YHc$3^  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] 0T<DHPQ1  
format short; rE4qPzL  
%Create Core OYY_@'D  
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)))']; e%v0EJ},  
ddeexec(TP_COMMAND,cmd); lKLb\F%  
cmd =['(entity:move Core 0 0 5.9493)']; z{G@t0q  
ddeexec(TP_COMMAND,cmd); DTM xfQdk  
cmd =['(property:apply-name Core "Core")']; xwZ7I  
ddeexec(TP_COMMAND,cmd); g?e-D.pSF  
z1~FE  
%Create Lens =d1i<iw?-  
cmd =['(define Unite (bool:unite TIR Core))']; ZN-5W|' O  
ddeexec(TP_COMMAND,cmd); y3NMt6  
cmd =['(define block (insert:block 100 100 100))']; W*Ce1  
ddeexec(TP_COMMAND,cmd); #brV{dHV,  
cmd =['(entity:move block 0 0 -50)']; zXT[}J VV  
ddeexec(TP_COMMAND,cmd); ]tO9<  
cmd =['(define Lens (bool:subtract Unite block))']; a+p_47 xa  
ddeexec(TP_COMMAND,cmd); ?KXgG'!!  
cmd =['(property:apply-name Lens "Lens")']; 82~ZPZG  
ddeexec(TP_COMMAND,cmd); m;m4/z3U  
gTqtTd~L  
%Close the DDE connection
5wGc"JHm  
ddeterm(TP_COMMAND); rR3(yy0L  

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