[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： pQ-^T.'  
% By Ruibin 08-9-25 sz2
SWk^&  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. `J7L
ecgo  
BnnUUaE  
clear all;clc ?e|:6a+[f  
E<G@LT  
% The Frist Step: Define independent parameters 5\kZgX
WIh  
r=3.25;               %选择开孔半径 AL$Ty  
R=4.25;               %定义曲面底部半径 mP .&fS  
d=1;                  %设置透镜前方平板高度 V<7K!<g)b  
n=1.4935;             %定义材料折射率 Y1ilH-8  
dividing_angle=24;    %定义Core与TIR的分界角 MfpWow-#{  
min_angle=1;          %设置计算精度 m ?"%&|  
N=4;                  %设定拟合非球面系数阶数 *Wo$$T  
po
$ynp756  
% The Second Step：Caculate induced variable 2WECQl=r  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); f]6`GsE  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); P(i2
bbU  
for i=1:(num_Core) 0N[DV]  
a_Core(i)=(angles_Core(i)*pi/180); ~JRuMP  
k1(i)=cot(a_Core(i)); }br<2?y,  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); &*:)5F5  
end ysT!^-&p  
k1(num_Core)=999;k2(num_Core)=0; BNoCE!  
for i=1:num_TIR <7-,`   
a_TIR(i)=(angles_TIR(i)*pi/180); 0B:{4Lsn&  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); A_*Lo6uII  
k4(i)=tan(asin(cos(a_TIR(i))/n)); HNUR6H&Fta  
end :a!a  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); l \n:"*To  
j%y+W{Q[  
% The Third Step:Solve functions Iybpk?,M+  
for i=1:num_Core                    %Solve the curve of Core IV#f}NrfD  
syms x; w58 QX/XG  
f1=k1(i)*x; c&?H8G)x  
f2=k2(i)*(x-X0_Core)+Y0_Core; Ri6 br  
f=f1-f2; <WKz,jh  
x=double(solve(f));y=k1(i)*x; wQS w&G  
X0_Core=x;Y0_Core=y; >Pd23TsN  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; \bl,_{z?  
end +/lj~5:y  
for i=1:num_TIR                      %Solve the curve of TIR _$_CR\$  
syms x; ~zC fan/  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; M~Dc5\T  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); 5*z
a]   
f=f1-f2; C^:&3,  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; }`FC
_
_  
X0_TIR=x;Y0_TIR=y; Hwc8i"{9y\  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; [a*>@IR  
end Z5a@fWU  
A-!qO|E[-  
% The furth Step:Fitting the curve 4xn^`xf9  
P_Core=polyfit(Px_Core,Py_Core,4); nln[V$   
P_TIR=polyfit(Px_TIR,Py_TIR,4); x(N}^Hu  
{QkH%jj  
% The fifth Step:Feedback chief dimensions of the lens and Create it <l/Qf[V  
%Feedback dimensions of the whole lens gm$MEeC  
result='透镜尺寸如下：' |Qm%G\oB?  
Diameter_of_lens=2*Px_TIR(num_TIR) QD VA*6F  
Thickness_of_lens=Py_TIR(num_TIR)+d ?
G<IN)  
Diameter_of_Core=2*r SLA~F?t  
Thickness_of_front_pannel=d {#Cm> @')  
Bottom_thickness=R-r &: 8&;vk  
Lowest_Core=P_Core(5)  #X_M  
7+r5?h|  
%Feedback dimensions of Lens part TIR k8>^dZub  
result='TIR系数如下：' 4DM|OL`w  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d RtQfE+  
Aperture=Px_TIR(num_TIR) MdjMTe s  
Obstruction=r n:
)Y'52}  
Position=P_TIR(5) ]J]p:Y>NL  
format short e; IH:Cm5MV  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] @CUDD{1
o  
format short; TL:RB)- <  
T )]|o+G  
%DDE Connection iPYlTV  
TP_COMMAND = ddeinit('TracePro','Scheme'); D];([:+4  
%Create TIR y~1php>2f1  
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; ^TK)_wx  
ddeexec(TP_COMMAND,cmd); p}X87Zq  
cmd =['(entity:move TIR 0 0 -2.3712)']; nE%qm -  
ddeexec(TP_COMMAND,cmd); k5 l~  
cmd =['(property:apply-name TIR "TIR")']; S6Pb V}  
ddeexec(TP_COMMAND,cmd); rrRC5h  
tJ=zk3BN~  
%Feedback dimensions of Lens part TIR 9DE)5/c`v  
result='Core系数如下：' }CqIKoX.  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d YHAg4eb8  
Aperture=r UeQ%(f  
Obstruction='None' a8c]B/  
Position=P_Core(5) B6&Mtm1  
format short e; W)O'(D  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] <N&f >7  
format short; 
2@rc&Tx  
%Create Core aX:$Q }S  
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)))']; w Vmy`OV/  
ddeexec(TP_COMMAND,cmd); M/;g|J jM  
cmd =['(entity:move Core 0 0 5.9493)']; aa]v7d  
ddeexec(TP_COMMAND,cmd); U%l{>*
q  
cmd =['(property:apply-name Core "Core")']; {4*%\?c,n  
ddeexec(TP_COMMAND,cmd); b
c-}Qn  
vkmR cX:/  
%Create Lens &t4(86Bmq  
cmd =['(define Unite (bool:unite TIR Core))']; KguFU  
ddeexec(TP_COMMAND,cmd); "rJL ^ \r  
cmd =['(define block (insert:block 100 100 100))']; =v9;HPiO  
ddeexec(TP_COMMAND,cmd); !I&Sy]G  
cmd =['(entity:move block 0 0 -50)']; sBL^NDqa2  
ddeexec(TP_COMMAND,cmd); HrxEC)V6#  
cmd =['(define Lens (bool:subtract Unite block))']; VvKH]>*  
ddeexec(TP_COMMAND,cmd); ;_*F [ }w  
cmd =['(property:apply-name Lens "Lens")']; <'33!8 G  
ddeexec(TP_COMMAND,cmd); -XB>&dNl)T  
)cXc"aj@s  
%Close the DDE connection 2[eY q1f!  
ddeterm(TP_COMMAND); \3/'#  

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