[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： >SS
979  
% By Ruibin 08-9-25 E;r~8^9)  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. MENrP5AL  
2yV{y#\  
clear all;clc r+nhm"9  
af/;Dr@  
% The Frist Step: Define independent parameters H
"rIOoxf  
r=3.25;               %选择开孔半径 cV* 0+5  
R=4.25;               %定义曲面底部半径 z6OJT6<'  
d=1;                  %设置透镜前方平板高度 g1q%b%8T  
n=1.4935;             %定义材料折射率 d`KW]HJw  
dividing_angle=24;    %定义Core与TIR的分界角 (XQl2C  
min_angle=1;          %设置计算精度 -vS7%Fbr  
N=4;                  %设定拟合非球面系数阶数 .:;#[Z{-  
3 J\&t4q  
% The Second Step：Caculate induced variable h='@Q_1Sb  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); \fC}l Ll  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); 84-7!< 6i  
for i=1:(num_Core) YifTC-Q;  
a_Core(i)=(angles_Core(i)*pi/180); x{
{ZV]  
k1(i)=cot(a_Core(i)); ;4(FS  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); ,,(BW7(  
end _MGhG{p7t  
k1(num_Core)=999;k2(num_Core)=0; (a8oI)~  
for i=1:num_TIR u=B,i#>s  
a_TIR(i)=(angles_TIR(i)*pi/180); ;Z#DB$o\  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); mvBUm-X  
k4(i)=tan(asin(cos(a_TIR(i))/n)); :sekMNM  
end $!"*h  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); JZ0u/x5  
dRLvej,  
% The Third Step:Solve functions }!Xj{Eoc  
for i=1:num_Core                    %Solve the curve of Core CA ,0Fe3  
syms x; Z65]|  
f1=k1(i)*x; Fy]j33E  
f2=k2(i)*(x-X0_Core)+Y0_Core; 51x)fZQ  
f=f1-f2; Z+x`q#ZQr  
x=double(solve(f));y=k1(i)*x; n5 jzVv  
X0_Core=x;Y0_Core=y; MXuiQ;./  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core;
btU:=6  
end RLbxNn  
for i=1:num_TIR                      %Solve the curve of TIR Amvl/bO  
syms x; ,46k8%
WW  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; 4O3-PU>N  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); TfqQh!Y  
f=f1-f2; 97(*-e=e  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; fmq9u(!R  
X0_TIR=x;Y0_TIR=y; . xdSUe  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; 8Dy;'BtT  
end W%cJ#R[o  
<f`G@  
% The furth Step:Fitting the curve giz#(61j^  
P_Core=polyfit(Px_Core,Py_Core,4); Gd%E337d  
P_TIR=polyfit(Px_TIR,Py_TIR,4); @I|gA  
8_F5c@7  
% The fifth Step:Feedback chief dimensions of the lens and Create it 3.s.&^  
%Feedback dimensions of the whole lens uvf}7  
result='透镜尺寸如下：' Kdwt^8Umh  
Diameter_of_lens=2*Px_TIR(num_TIR) -?68%[4lm_  
Thickness_of_lens=Py_TIR(num_TIR)+d -V)DKf"f  
Diameter_of_Core=2*r Q'S"$^~{  
Thickness_of_front_pannel=d DJf!{:b)  
Bottom_thickness=R-r *_7%n-k  
Lowest_Core=P_Core(5) DZ Q=Sinry  
_}-Ed,.=  
%Feedback dimensions of Lens part TIR vmZyvJSE  
result='TIR系数如下：' ~1v5H]T{  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d +1%7*2q,  
Aperture=Px_TIR(num_TIR) ^5sO;vf  
Obstruction=r Q4,!N(>D  
Position=P_TIR(5) %0!!998  
format short e; "?UBW5nM#  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] oMV<Yn_<  
format short; &%Lps_+fJ  
5J4'\M  
%DDE Connection t\$P*_  
TP_COMMAND = ddeinit('TracePro','Scheme'); .`3O4]N[  
%Create TIR 89[5a  
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)))']; ~SRK}5E  
ddeexec(TP_COMMAND,cmd); ]FNqNZ  
cmd =['(entity:move TIR 0 0 -2.3712)']; tmJ-2   
ddeexec(TP_COMMAND,cmd); x2bKFJ>e@  
cmd =['(property:apply-name TIR "TIR")']; &6`h%;a/&  
ddeexec(TP_COMMAND,cmd); Ej]:j8^W  
RHc-kggk!  
%Feedback dimensions of Lens part TIR fGtUr_D  
result='Core系数如下：' U\ Et  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d [Cx'a7KWL  
Aperture=r U- UD27  
Obstruction='None' V6C*d:  
Position=P_Core(5) m["`Op4  
format short e; eI7FbOze  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] =-e`OHA  
format short; vO#=]J8`  
%Create Core NM;0@
o  
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)))']; .MzVc42<  
ddeexec(TP_COMMAND,cmd); .m]"lH*  
cmd =['(entity:move Core 0 0 5.9493)']; Az}.Z'LJ  
ddeexec(TP_COMMAND,cmd); kIlc$:K^  
cmd =['(property:apply-name Core "Core")']; j<-#a^jb  
ddeexec(TP_COMMAND,cmd); &]'{N69@d?  
]c.1&OB7o  
%Create Lens 1'[RrJ$Q  
cmd =['(define Unite (bool:unite TIR Core))']; =skw@c^  
ddeexec(TP_COMMAND,cmd); *t JgQ[  
cmd =['(define block (insert:block 100 100 100))']; d@a FW  
ddeexec(TP_COMMAND,cmd); 9BJP|L%q  
cmd =['(entity:move block 0 0 -50)']; I0 78[3b  
ddeexec(TP_COMMAND,cmd); G>/Gw90E  
cmd =['(define Lens (bool:subtract Unite block))']; Stkyz:,(  
ddeexec(TP_COMMAND,cmd); McRAy%{z  
cmd =['(property:apply-name Lens "Lens")']; xV_,R'l  
ddeexec(TP_COMMAND,cmd); fZqqU|tq  
 jIMT&5k  
%Close the DDE connection \{HbL,s  
ddeterm(TP_COMMAND); (}W+W\.  

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