[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： T0|H9>M  
% By Ruibin 08-9-25 tHI*,  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. bEpMaBN  
%?tq;~|]Q  
clear all;clc -J$g(sikt  
Eb@MfL  
% The Frist Step: Define independent parameters (([I]q  
r=3.25;               %选择开孔半径 K5flit4-  
R=4.25;               %定义曲面底部半径 DX@}!6|T  
d=1;                  %设置透镜前方平板高度 MW@DXbKVl  
n=1.4935;             %定义材料折射率 UC!5 wVY  
dividing_angle=24;    %定义Core与TIR的分界角 iHz[Zw^.s  
min_angle=1;          %设置计算精度 %W;u}`  
N=4;                  %设定拟合非球面系数阶数 rx:lKoOnB  
'Z7P  
% The Second Step：Caculate induced variable nFXAF!,jj  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); YvTA+yL  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); xH$%5@~  
for i=1:(num_Core) k>{-[X,/OV  
a_Core(i)=(angles_Core(i)*pi/180); dF,DiRD  
k1(i)=cot(a_Core(i)); R<g=\XO'y  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); yiT{+;g^  
end {wu!6\:<??  
k1(num_Core)=999;k2(num_Core)=0; eTZ`q_LfI1  
for i=1:num_TIR q<XcOc5  
a_TIR(i)=(angles_TIR(i)*pi/180); w-: D  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); oQvFrSz  
k4(i)=tan(asin(cos(a_TIR(i))/n)); 4A~)b"j5  
end \Da~p9T&  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); Y'_ D<Mp  
cEi<}9r  
% The Third Step:Solve functions OK\]*r  
for i=1:num_Core                    %Solve the curve of Core \X opU"  
syms x; l$`G:%qHj  
f1=k1(i)*x; VRhRwdC  
f2=k2(i)*(x-X0_Core)+Y0_Core; [+DNM 2A  
f=f1-f2; G
TFl}t  
x=double(solve(f));y=k1(i)*x; \>[gl!B_Rr  
X0_Core=x;Y0_Core=y; zjWyGt(Q  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; }}
s) +d  
end V'yxqI?  
for i=1:num_TIR                      %Solve the curve of TIR r %xB8e9  
syms x; Ph\F'xROe  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; mt.,4  
f2=k4(i)*(x-r)+r*cot(a_TIR(i));
p;ZDpR  
f=f1-f2; q_58Lw  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; gT7I9 (x!W  
X0_TIR=x;Y0_TIR=y; HjPH  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; <w11nB)  
end 7eH@n<]Y2  
mg/]4)SF  
% The furth Step:Fitting the curve bgXc_>T6_y  
P_Core=polyfit(Px_Core,Py_Core,4); V,'FlU  
P_TIR=polyfit(Px_TIR,Py_TIR,4); "j;!_v>=f`  
%>]#vQ|  
% The fifth Step:Feedback chief dimensions of the lens and Create it <on)"{W13  
%Feedback dimensions of the whole lens :\T_'Shq  
result='透镜尺寸如下：' 3DHvaq q7  
Diameter_of_lens=2*Px_TIR(num_TIR) [M2Dy{dh  
Thickness_of_lens=Py_TIR(num_TIR)+d +{bh  
Diameter_of_Core=2*r a!{hC)d*  
Thickness_of_front_pannel=d ceI [hM  
Bottom_thickness=R-r ,dq`EsHg`M  
Lowest_Core=P_Core(5) <sF!]R&4  
l?N`V2SuR  
%Feedback dimensions of Lens part TIR ],#ZPUn  
result='TIR系数如下：' ri;r7Y9V9`  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d /3;=xZq  
Aperture=Px_TIR(num_TIR) M,Po54u  
Obstruction=r |O^V)bZmx  
Position=P_TIR(5) P:vX }V |[  
format short e; kfIbgya  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] t"
FRLC  
format short; wf^cyCR0  
?##y`.+O  
%DDE Connection aGe\.A=  
TP_COMMAND = ddeinit('TracePro','Scheme'); QTJrJD  
%Create TIR ]dQZ8yVK
 
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)))']; %k~C-+  
ddeexec(TP_COMMAND,cmd); |O'Hh7  
cmd =['(entity:move TIR 0 0 -2.3712)']; ug>]U ~0  
ddeexec(TP_COMMAND,cmd); | eK,Td%  
cmd =['(property:apply-name TIR "TIR")']; <4SF~i  
ddeexec(TP_COMMAND,cmd); >4Fdxa  
+ >Fv*lux  
%Feedback dimensions of Lens part TIR 8~rT  
result='Core系数如下：' 8Na}Wp;|Gi  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d )Ep@$Gv|S  
Aperture=r ` C/fF_YA  
Obstruction='None' O{O9}]6  
Position=P_Core(5) y;*My#  
format short e; N>h]mX6  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] %,h!: Ec^c  
format short; !$4Q]@ }  
%Create Core pPU2ar  
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; 30:HRF(:  
ddeexec(TP_COMMAND,cmd); yRSy(/L^+  
cmd =['(entity:move Core 0 0 5.9493)']; (p}9^Y  
ddeexec(TP_COMMAND,cmd); (gv=P>:  
cmd =['(property:apply-name Core "Core")']; 3
BuD/bs  
ddeexec(TP_COMMAND,cmd); kvY} yw7  
r< N-A?a  
%Create Lens i@sCMCu6  
cmd =['(define Unite (bool:unite TIR Core))']; P DNt4=C  
ddeexec(TP_COMMAND,cmd); >IR`]  
cmd =['(define block (insert:block 100 100 100))']; GA}hp%  
ddeexec(TP_COMMAND,cmd); 9G=A)j  
cmd =['(entity:move block 0 0 -50)']; \r)_-  
ddeexec(TP_COMMAND,cmd); "@F*$JGT y  
cmd =['(define Lens (bool:subtract Unite block))']; jauc*347  
ddeexec(TP_COMMAND,cmd); UzP@{?  
cmd =['(property:apply-name Lens "Lens")']; N GX-'w  
ddeexec(TP_COMMAND,cmd); 'lSnyW{  
R|d^M&K,  
%Close the DDE connection =+kvL2nx-  
ddeterm(TP_COMMAND); hPNQGVv  

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