[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： iB,Nqs3i*  
% By Ruibin 08-9-25 O1_dA%m  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. tzeS D C  
>b.wk3g@>  
clear all;clc ;w_f^R #  
ITu6m<V  
% The Frist Step: Define independent parameters >=_Z\ wA  
r=3.25;               %选择开孔半径 P`K?k<  
R=4.25;               %定义曲面底部半径 MQv2C@K9F  
d=1;                  %设置透镜前方平板高度 D<2|&xaR  
n=1.4935;             %定义材料折射率 StP7t  
dividing_angle=24;    %定义Core与TIR的分界角 ag$mc8-p[  
min_angle=1;          %设置计算精度 J c~{ E  
N=4;                  %设定拟合非球面系数阶数 ]`2=<n;=  
)"IBw0]  
% The Second Step：Caculate induced variable p/a)vN+*x'  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); T*%Q s&x;  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); k2xOu9ncEj  
for i=1:(num_Core) j<LDJi>O  
a_Core(i)=(angles_Core(i)*pi/180); 8Jd\2T7h  
k1(i)=cot(a_Core(i)); j'V# =vH  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); 9(>l trA  
end =2z9Aq{  
k1(num_Core)=999;k2(num_Core)=0; d+Vx:`tT  
for i=1:num_TIR
p-=+i   
a_TIR(i)=(angles_TIR(i)*pi/180); dX0"h5v1  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); x*A_1_A  
k4(i)=tan(asin(cos(a_TIR(i))/n));  ?vgHu  
end zd+_ BPT  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); `&"-|  
;c'9Xyl-  
% The Third Step:Solve functions J0e~s  
for i=1:num_Core                    %Solve the curve of Core ,rB"ag !  
syms x; F;mK)Q-  
f1=k1(i)*x; szY=N7\S*  
f2=k2(i)*(x-X0_Core)+Y0_Core; $~|#Rz%v  
f=f1-f2; "YUyM5X  
x=double(solve(f));y=k1(i)*x; /=zzym~<>  
X0_Core=x;Y0_Core=y; y~JCSzpU  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; ptS1
d$  
end N|v3a>;*l  
for i=1:num_TIR                      %Solve the curve of TIR BTwLx-p9t  
syms x; ?t&sT  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; i9.~cnk  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); qFo'"z`84  
f=f1-f2; i>n.r_!E  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; D2`tWRm0  
X0_TIR=x;Y0_TIR=y; X`dd"8%  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; \(PC#H%  
end 'Jb6CRn  
S+Aq0
B<  
% The furth Step:Fitting the curve f&w8o5=|I  
P_Core=polyfit(Px_Core,Py_Core,4); eGZX6Q7m  
P_TIR=polyfit(Px_TIR,Py_TIR,4); Md9b_&'  
I<q=lK  
% The fifth Step:Feedback chief dimensions of the lens and Create it sbZ$h <  
%Feedback dimensions of the whole lens s6(iiB%d  
result='透镜尺寸如下：' u.wm;eK[  
Diameter_of_lens=2*Px_TIR(num_TIR) a}Db9=  
Thickness_of_lens=Py_TIR(num_TIR)+d !$"DD[~\  
Diameter_of_Core=2*r -S]yXZ  
Thickness_of_front_pannel=d (~~*PT-  
Bottom_thickness=R-r AnV\{A^  
Lowest_Core=P_Core(5) Th&* d;  
j +j2_\  
%Feedback dimensions of Lens part TIR 78v4cQ Y  
result='TIR系数如下：' B5>1T[T'-  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d yJx{6  
Aperture=Px_TIR(num_TIR) i2ap]  
Obstruction=r pu(a&0  
Position=P_TIR(5) D"WqJcDt  
format short e; B!|<<;Da6  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] I$K?,   
format short;
5cbtMNP  
_zG9.?'b3  
%DDE Connection @J~n$^ke  
TP_COMMAND = ddeinit('TracePro','Scheme'); ""[(e0oA  
%Create TIR Ih*}1D)7  
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)))']; gU7@}P  
ddeexec(TP_COMMAND,cmd); (U"Ub;[7  
cmd =['(entity:move TIR 0 0 -2.3712)']; @add'>)  
ddeexec(TP_COMMAND,cmd); ;P9P2&c8c  
cmd =['(property:apply-name TIR "TIR")']; )J?Nfi%  
ddeexec(TP_COMMAND,cmd); SF.4["$  
&Q>)3]|p  
%Feedback dimensions of Lens part TIR D-8NDa(`  
result='Core系数如下：' 0n25{N  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d u~#QvA~]  
Aperture=r 60KhwD1  
Obstruction='None' N;cEf7+f  
Position=P_Core(5) ,wJ#0?  
format short e; ~7$E\w6  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] ;[*jLi,uc  
format short; }cK<2J#  
%Create Core p@H]F<  
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))'];  y{hy  
ddeexec(TP_COMMAND,cmd); 49%qBO$R  
cmd =['(entity:move Core 0 0 5.9493)']; >hcA:\UPk  
ddeexec(TP_COMMAND,cmd); ~]HeoQK  
cmd =['(property:apply-name Core "Core")']; 0MK|spc  
ddeexec(TP_COMMAND,cmd); `8Y& KVhu  
x!klnpGp  
%Create Lens si.A"\bm  
cmd =['(define Unite (bool:unite TIR Core))']; ]C|Zs=5  
ddeexec(TP_COMMAND,cmd); 14TA( v]T  
cmd =['(define block (insert:block 100 100 100))']; N zY}-:{  
ddeexec(TP_COMMAND,cmd); [
h "*>J{  
cmd =['(entity:move block 0 0 -50)']; 5Xn+cw*  
ddeexec(TP_COMMAND,cmd); BJI}gm2y  
cmd =['(define Lens (bool:subtract Unite block))']; t^HQ=*c  
ddeexec(TP_COMMAND,cmd); shbPy   
cmd =['(property:apply-name Lens "Lens")']; rn^7B-V  
ddeexec(TP_COMMAND,cmd); i"=6n>\  
6Z~u2&  
%Close the DDE connection J/3qJst
 
ddeterm(TP_COMMAND); pkjf5DWp  

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