[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： /4;A.r`;  
% By Ruibin 08-9-25 n$7*L9)(C  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. -m>3@"q  
\awkt!Wa  
clear all;clc !io1~GpKS  
94t`&jZ&|u  
% The Frist Step: Define independent parameters |r)QkxdU,  
r=3.25;               %选择开孔半径 pBv,,d`  
R=4.25;               %定义曲面底部半径 T9]0/>  
d=1;                  %设置透镜前方平板高度 {.KD#W $5  
n=1.4935;             %定义材料折射率 +(afO~9  
dividing_angle=24;    %定义Core与TIR的分界角 p$jAq~C  
min_angle=1;          %设置计算精度 2*#i/SE_  
N=4;                  %设定拟合非球面系数阶数 S-~)|7d.  
t?Qbi)T=z  
% The Second Step：Caculate induced variable ~!g2+^G7+P  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); f/IQ2yT-:D  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); UHU ,zgM  
for i=1:(num_Core) #G`K<%{
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a_Core(i)=(angles_Core(i)*pi/180); >#l:
]T  
k1(i)=cot(a_Core(i)); .\ya  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); $o\z4_I  
end s3Zt)xQ3  
k1(num_Core)=999;k2(num_Core)=0; -U A &Zt  
for i=1:num_TIR Y`4 LMK[]  
a_TIR(i)=(angles_TIR(i)*pi/180); 7l=Tl[n  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); "X;5* 4+  
k4(i)=tan(asin(cos(a_TIR(i))/n)); 6\I1J= C  
end &=n/h5e0t&  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); ;bg]H >$U7  
mXS]SE  
% The Third Step:Solve functions p9u'nDi  
for i=1:num_Core                    %Solve the curve of Core c?}G;$  
syms x; XOI"BLd
 
f1=k1(i)*x; h*!oHS~/l  
f2=k2(i)*(x-X0_Core)+Y0_Core; =mPe wx'  
f=f1-f2; e?B}^Dk0i  
x=double(solve(f));y=k1(i)*x; #-+Q]}fB4  
X0_Core=x;Y0_Core=y; 5$Kj#9g-#  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; V rx,'/IS8  
end q+*\'H>  
for i=1:num_TIR                      %Solve the curve of TIR pnz:<V"Y(  
syms x; Umzb  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; _O'!C!K6  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); -\;0gnf{J  
f=f1-f2; ]$9y7Bhj.  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; n=F rv*"Z  
X0_TIR=x;Y0_TIR=y; |:x,|>/  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; 1ywdcg  
end ~I;x_0iY4  
!vpXXI4  
% The furth Step:Fitting the curve FBB<1({A  
P_Core=polyfit(Px_Core,Py_Core,4); pmWy:0R  
P_TIR=polyfit(Px_TIR,Py_TIR,4); eiyr^Sch.  
Z2
})n -  
% The fifth Step:Feedback chief dimensions of the lens and Create it (s&]V49  
%Feedback dimensions of the whole lens 2@ 9?~?r  
result='透镜尺寸如下：' G7v<Q,s  
Diameter_of_lens=2*Px_TIR(num_TIR) c(2?
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Thickness_of_lens=Py_TIR(num_TIR)+d <rK[&JlJ  
Diameter_of_Core=2*r *>mjUT}cP  
Thickness_of_front_pannel=d hi/d%lNZ  
Bottom_thickness=R-r QKq4kAaJ!  
Lowest_Core=P_Core(5) /^k%sG@?  
6_
u!{  
%Feedback dimensions of Lens part TIR (Sgsy^|N  
result='TIR系数如下：' vazA@|^8  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d ISFNP
&&K  
Aperture=Px_TIR(num_TIR) Ert={"Q  
Obstruction=r !o?&{"#+  
Position=P_TIR(5) {,h_T0D^j  
format short e; 'Q:%s  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] jN*w
bqL  
format short; jXALL8[c  
U5~aG!E  
%DDE Connection 4:a ~Wlp[  
TP_COMMAND = ddeinit('TracePro','Scheme'); +>*=~R
 
%Create TIR D]}~`SO  
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)))']; fmQif]J;;  
ddeexec(TP_COMMAND,cmd); |nnFjGC`~  
cmd =['(entity:move TIR 0 0 -2.3712)']; 'kC#GTZi  
ddeexec(TP_COMMAND,cmd); fKr_u<|  
cmd =['(property:apply-name TIR "TIR")']; |gu@b~8  
ddeexec(TP_COMMAND,cmd); &I8DK).M+  
D86F5HT}}  
%Feedback dimensions of Lens part TIR 6fI2y4yEz  
result='Core系数如下：' A- Abj'  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d wEX<[#a-  
Aperture=r %k['<BYG<  
Obstruction='None' O#18a,o@  
Position=P_Core(5) +}?%w|8||s  
format short e; =P9rOK=  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] ![r)KE=v8I  
format short; 
ocK4Nxs  
%Create Core LiQH!yHW  
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)))']; u t4:L
HF  
ddeexec(TP_COMMAND,cmd); pKj:)6t"  
cmd =['(entity:move Core 0 0 5.9493)']; Te?PYV-  
ddeexec(TP_COMMAND,cmd); 9
e>2kd  
cmd =['(property:apply-name Core "Core")']; X o9vE3  
ddeexec(TP_COMMAND,cmd); w42{)S"  
~uZ9%UB_m  
%Create Lens GBRiU&D  
cmd =['(define Unite (bool:unite TIR Core))']; W% Lrp{  
ddeexec(TP_COMMAND,cmd); =1R 2`H\  
cmd =['(define block (insert:block 100 100 100))']; rKslgZhQ  
ddeexec(TP_COMMAND,cmd); wA/!A$v(  
cmd =['(entity:move block 0 0 -50)']; !]A
/ID0K  
ddeexec(TP_COMMAND,cmd); V(0Y   
cmd =['(define Lens (bool:subtract Unite block))']; 8,RqhT)2#  
ddeexec(TP_COMMAND,cmd); h>
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cmd =['(property:apply-name Lens "Lens")']; M.MQ?`_"b  
ddeexec(TP_COMMAND,cmd); aBY&]6^-  
tB`"gC~  
%Close the DDE connection i>CR{q  
ddeterm(TP_COMMAND); ^/%Y]d$  

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