[求助]matlab画准直透镜曲线？ [复制链接]

謝謝大大的分享

算出来也就自然画出来了啊

谢谢哈~

看一下

下来看看

学习一下

看看吧

看看e:matlab画准直透镜曲线？

程序如下： SF"#\{cjj  
% By Ruibin 08-9-25 A1=_nt)5  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. AzxL%,_  
RP(a,D|  
clear all;clc **.:)  
u7n[f@Eg,%  
% The Frist Step: Define independent parameters
(Hl8U  
r=3.25;               %选择开孔半径 8H7O/n  
R=4.25;               %定义曲面底部半径 .hc|t-7f

 
d=1;                  %设置透镜前方平板高度 /%5_~Jkr,  
n=1.4935;             %定义材料折射率 [f=.!\0\  
dividing_angle=24;    %定义Core与TIR的分界角 +8^5C,V  
min_angle=1;          %设置计算精度 .uBO  
N=4;                  %设定拟合非球面系数阶数 ):^ '/e
 
3;y_qwA  
% The Second Step：Caculate induced variable TR~|c|B  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); %V31B\]Nz7  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); abL/Y23 "  
for i=1:(num_Core) n}0za#G  
a_Core(i)=(angles_Core(i)*pi/180); 6$;L]<$W>  
k1(i)=cot(a_Core(i)); {x7=;-  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); Z(KmS(  
end O@nqHZ  
k1(num_Core)=999;k2(num_Core)=0; phr2X*Z/)Y  
for i=1:num_TIR {>wI8  
a_TIR(i)=(angles_TIR(i)*pi/180); Jc`Rs"2  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); i3D<`\;r  
k4(i)=tan(asin(cos(a_TIR(i))/n)); ';&0~[R[  
end r}ZLf  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); g})6V  
<b6s&"%=  
% The Third Step:Solve functions >_-!zjO8u  
for i=1:num_Core                    %Solve the curve of Core ,.[.SU#V  
syms x; Cy<T Vk8  
f1=k1(i)*x; {d^Q7A:`  
f2=k2(i)*(x-X0_Core)+Y0_Core; G4O,^ v;Q  
f=f1-f2; SOhSg]g  
x=double(solve(f));y=k1(i)*x; 6`_!?u7  
X0_Core=x;Y0_Core=y; IY V-*/ |  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; o>0O@NE  
end {5U1`
>  
for i=1:num_TIR                      %Solve the curve of TIR zpbcmQB*  
syms x; 4g>1Gqv6  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; &}>|5>cJu  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); /.7$`d  
f=f1-f2; (~=Qufy  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; |^Y*~d<H  
X0_TIR=x;Y0_TIR=y; #!w:_T%  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; 03~+-h&n  
end Ok*VQKyDLH  
?68$3;  
% The furth Step:Fitting the curve EfFj!)fz  
P_Core=polyfit(Px_Core,Py_Core,4); ]#vWKNv:;  
P_TIR=polyfit(Px_TIR,Py_TIR,4); c
hKF6n  
=*{K@p_  
% The fifth Step:Feedback chief dimensions of the lens and Create it I%
pCm||p  
%Feedback dimensions of the whole lens {`+bW"9  
result='透镜尺寸如下：' qnabwF  
Diameter_of_lens=2*Px_TIR(num_TIR) xR0~S 3caI  
Thickness_of_lens=Py_TIR(num_TIR)+d }/_('q@s\  
Diameter_of_Core=2*r kSLSxfR  
Thickness_of_front_pannel=d ]&&I|K_  
Bottom_thickness=R-r 8dr0 DF$c  
Lowest_Core=P_Core(5) ;n3uV`\  
|}M~kJ)  
%Feedback dimensions of Lens part TIR p^p'/$<6_  
result='TIR系数如下：' 
\#uqD\DE  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d -$AjD?;  
Aperture=Px_TIR(num_TIR) QV`X?m  
Obstruction=r `K$:r4/[  
Position=P_TIR(5) %2^['8t#NH  
format short e; ;~}-AI-  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] b%=1"&JI:  
format short; :jZ*,d%1={  
#rh0r`  
%DDE Connection zd?bHcW/h  
TP_COMMAND = ddeinit('TracePro','Scheme'); cFRSd }p=  
%Create TIR 6$W-?  
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)))']; 2Som0T<2  
ddeexec(TP_COMMAND,cmd); o%vIkXw  
cmd =['(entity:move TIR 0 0 -2.3712)']; mJwv&E  
ddeexec(TP_COMMAND,cmd); 2AdX)iF@  
cmd =['(property:apply-name TIR "TIR")']; o@qN#Mg?>}  
ddeexec(TP_COMMAND,cmd); ?whRlh  
~|X99?P  
%Feedback dimensions of Lens part TIR #gxRTx  
result='Core系数如下：' #nU@hOfg  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d SlH7-"Ag  
Aperture=r u+%)JhIp  
Obstruction='None' 2N6Pa(6  
Position=P_Core(5) x(C]O,  
format short e; X
 !&"&n  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] )OARO  
format short; / e~  
%Create Core `77;MGg*  
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)))']; S#dyRTmI  
ddeexec(TP_COMMAND,cmd); 5O;/ lX!u  
cmd =['(entity:move Core 0 0 5.9493)']; rC=p;BC@dD  
ddeexec(TP_COMMAND,cmd); Up]VU9z  
cmd =['(property:apply-name Core "Core")']; oN1!>S9m  
ddeexec(TP_COMMAND,cmd); "cnG/{($*  
f)&`mqeE  
%Create Lens }e&KO?x+  
cmd =['(define Unite (bool:unite TIR Core))']; X}65\6  
ddeexec(TP_COMMAND,cmd); K1m!S9d`x  
cmd =['(define block (insert:block 100 100 100))']; Y-}hNZn"{  
ddeexec(TP_COMMAND,cmd); TE*>a5C|  
cmd =['(entity:move block 0 0 -50)']; w]]x[D]L  
ddeexec(TP_COMMAND,cmd); :ofE8]  
cmd =['(define Lens (bool:subtract Unite block))']; lB5[#z  
ddeexec(TP_COMMAND,cmd); [#H
8=  
cmd =['(property:apply-name Lens "Lens")']; @F""wKnV  
ddeexec(TP_COMMAND,cmd); B}TInI%H  
ZI#SYEF6  
%Close the DDE connection ql%]$`IV6  
ddeterm(TP_COMMAND); ^)eessZ  

学习学习