[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： XVzsqi*Z  
% By Ruibin 08-9-25 Nn-Et
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% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. *QA
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f6`W(OiE  
clear all;clc F!zGk(Pu  
VfkQc$/  
% The Frist Step: Define independent parameters .Z(Q7j^  
r=3.25;               %选择开孔半径 &EJ/Rl
 
R=4.25;               %定义曲面底部半径  & {=}U  
d=1;                  %设置透镜前方平板高度 zvR;Tl6]  
n=1.4935;             %定义材料折射率 <6.?:Jj  
dividing_angle=24;    %定义Core与TIR的分界角 IubzHf  
min_angle=1;          %设置计算精度 TF~cDn
 
N=4;                  %设定拟合非球面系数阶数 0.0r?T  
(je`sV  
% The Second Step：Caculate induced variable ZDx1v_xr  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); cS(=wC  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); hq?F81  
for i=1:(num_Core) h
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a_Core(i)=(angles_Core(i)*pi/180); K)GpQ|4:<  
k1(i)=cot(a_Core(i)); aEn*vun  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); gf70 O
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end A@jBn6  
k1(num_Core)=999;k2(num_Core)=0; 2Ws'3Jz  
for i=1:num_TIR X
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a_TIR(i)=(angles_TIR(i)*pi/180); uTNy{RBD+  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); dpcU`$kt  
k4(i)=tan(asin(cos(a_TIR(i))/n)); X3HJ3F;==  
end m'WGK`WIm  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); %e+{wU}w?2  
!*PX
-  
% The Third Step:Solve functions ]-jaIvM  
for i=1:num_Core                    %Solve the curve of Core 8@r>`c  
syms x; <vd}oiB
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f1=k1(i)*x; T'a&  
f2=k2(i)*(x-X0_Core)+Y0_Core; ?;GXFKy  
f=f1-f2; W/.Wp|C}K3  
x=double(solve(f));y=k1(i)*x; ';LsEI[  
X0_Core=x;Y0_Core=y; >=/DCQ$  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; .t.4y. 97  
end uTvf[%EHW  
for i=1:num_TIR                      %Solve the curve of TIR WF-^pfRq~  
syms x; s){R/2O3F  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; VVqpzDoXG  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); ,.AXQ#~&`  
f=f1-f2; %'ea
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x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; 7pM&))
R  
X0_TIR=x;Y0_TIR=y; ^ #3,*(S  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; :=\`P  
end \6!s";=hQ  
ge#P(Itz  
% The furth Step:Fitting the curve #J~xKyJi'  
P_Core=polyfit(Px_Core,Py_Core,4); f!G%$?]  
P_TIR=polyfit(Px_TIR,Py_TIR,4); vy5I#q(k  
Yu:($//w  
% The fifth Step:Feedback chief dimensions of the lens and Create it ^_/gM[H.  
%Feedback dimensions of the whole lens = Q"(9[Az  
result='透镜尺寸如下：' at(gem   
Diameter_of_lens=2*Px_TIR(num_TIR) +/rh8?  
Thickness_of_lens=Py_TIR(num_TIR)+d kfq<M7y  
Diameter_of_Core=2*r o<rbC < U  
Thickness_of_front_pannel=d NN~PWy1opa  
Bottom_thickness=R-r G$s=P  
Lowest_Core=P_Core(5) tD])&0"(  
FYH^axpp  
%Feedback dimensions of Lens part TIR hA+;eXy/  
result='TIR系数如下：' .jl^"{@6  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d +'aG{/J  
Aperture=Px_TIR(num_TIR) Pt7C/ qM/  
Obstruction=r ).jna`A,  
Position=P_TIR(5) BR
tT 7  
format short e; n"<'F4r  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] #-/_J?  
format short; i}>}%l|  
yppXecFJ  
%DDE Connection CFeAKjG  
TP_COMMAND = ddeinit('TracePro','Scheme'); $it>*%  
%Create TIR #!4`t]E<  
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)))']; e r"gPW  
ddeexec(TP_COMMAND,cmd); wV'_{/WM  
cmd =['(entity:move TIR 0 0 -2.3712)']; e)oi3d.wJf  
ddeexec(TP_COMMAND,cmd); X:W}S/  
cmd =['(property:apply-name TIR "TIR")']; B|SX?X  
ddeexec(TP_COMMAND,cmd);  =h}PL22  
s"l ^v5  
%Feedback dimensions of Lens part TIR EI@ep~  
result='Core系数如下：' w^/"j_p@  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d M+lI,j+  
Aperture=r +Q!Kj7EU/  
Obstruction='None' [H>/N7v19*  
Position=P_Core(5) Zk0?=f?j  
format short e; <"`P;,S  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] _? u} Jy_  
format short; HK<oNr.d52  
%Create Core K\
$z,}0  
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)))']; E /V`NqC  
ddeexec(TP_COMMAND,cmd); XNkQ0o0  
cmd =['(entity:move Core 0 0 5.9493)']; >u=nGeO  
ddeexec(TP_COMMAND,cmd); A{Q~@1  
cmd =['(property:apply-name Core "Core")']; eb<'>a  
ddeexec(TP_COMMAND,cmd); HA. O"A8`  
EZ^M?awB4  
%Create Lens bfA9aT  
cmd =['(define Unite (bool:unite TIR Core))']; w4Ku1G#jC  
ddeexec(TP_COMMAND,cmd); < !]7Gt  
cmd =['(define block (insert:block 100 100 100))']; u!cA_,  
ddeexec(TP_COMMAND,cmd); vo2TP:  
cmd =['(entity:move block 0 0 -50)']; =Lr# *ep[  
ddeexec(TP_COMMAND,cmd); V,:~FufM^  
cmd =['(define Lens (bool:subtract Unite block))']; [Kd"M[1[<  
ddeexec(TP_COMMAND,cmd); 5<?/M<i  
cmd =['(property:apply-name Lens "Lens")']; G)\6W#de
4  
ddeexec(TP_COMMAND,cmd); el,n5OZ7  
RQ[6svfP  
%Close the DDE connection D]d2opBLj  
ddeterm(TP_COMMAND); ; J8 25CE  

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