[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： R.'Gg  
% By Ruibin 08-9-25 QAnfxt6  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. iKH T  
cYn}we}7  
clear all;clc g UAPjR  
~{$'sp0  
% The Frist Step: Define independent parameters @!NHeH=pR  
r=3.25;               %选择开孔半径 /,%o<Ql9  
R=4.25;               %定义曲面底部半径 moI<b\G@  
d=1;                  %设置透镜前方平板高度 Q>g$)-8  
n=1.4935;             %定义材料折射率 +~.Jw#HqS  
dividing_angle=24;    %定义Core与TIR的分界角 s/0FSv x  
min_angle=1;          %设置计算精度 'eY[?LJ]U  
N=4;                  %设定拟合非球面系数阶数 q8v!{Os+#  
kV9NF
o22  
% The Second Step：Caculate induced variable ?o'arxCxZn  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); y'wW2U/1-  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); '=Y~Ir+  
for i=1:(num_Core) PH&ms  
a_Core(i)=(angles_Core(i)*pi/180); <rmV$_  
k1(i)=cot(a_Core(i)); LbI])M  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); \eN/fTPm  
end RtQfE+  
k1(num_Core)=999;k2(num_Core)=0; gy`qEY~B&  
for i=1:num_TIR mU>*NP(L  
a_TIR(i)=(angles_TIR(i)*pi/180); ~mo`  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); +N&(lj  
k4(i)=tan(asin(cos(a_TIR(i))/n)); w~?eX/;  
end 6x8|v7cMH  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); 8gm[Q[  
t ?'
/KL  
% The Third Step:Solve functions T`[ZNq+${  
for i=1:num_Core                    %Solve the curve of Core cSDCNc*%  
syms x; M<pgaB0  
f1=k1(i)*x; :e vc  
f2=k2(i)*(x-X0_Core)+Y0_Core; y^BM*CI  
f=f1-f2; V7i`vo3Cc  
x=double(solve(f));y=k1(i)*x; hKeh9 Bt  
X0_Core=x;Y0_Core=y; ..mz!:Zs0  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; "evV/Fg(  
end M)Q+_c2*  
for i=1:num_TIR                      %Solve the curve of TIR =R`2m  
syms x; !Ve3:OZ.nO  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; -e\56%\~_  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); a,9GSKXo1  
f=f1-f2; d_B5@9e#  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; #+nv,?@  
X0_TIR=x;Y0_TIR=y; 8#B;nyGD1I  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; A*;h}\n  
end Sp:de,9@  
;r}<o?'RM  
% The furth Step:Fitting the curve [wYQP6Cyy  
P_Core=polyfit(Px_Core,Py_Core,4); IW*.B6Hw8  
P_TIR=polyfit(Px_TIR,Py_TIR,4); &|*|  
8G<.5!f7`N  
% The fifth Step:Feedback chief dimensions of the lens and Create it Pw.+DA  
%Feedback dimensions of the whole lens aQ\O ]gCE  
result='透镜尺寸如下：' /% 1lJD  
Diameter_of_lens=2*Px_TIR(num_TIR) jX@9849@  
Thickness_of_lens=Py_TIR(num_TIR)+d ,/9|j*9H  
Diameter_of_Core=2*r h 42?^mV4?  
Thickness_of_front_pannel=d (#k#0T kE  
Bottom_thickness=R-r }qPo%T  
Lowest_Core=P_Core(5) 0l*/_;wo  
w+H=Xh4t  
%Feedback dimensions of Lens part TIR Lq^/Z4L  
result='TIR系数如下：' 7]bqs"t  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d na)ceN2h  
Aperture=Px_TIR(num_TIR) N%yFL  
Obstruction=r 5H2|:GzUc  
Position=P_TIR(5) 1cega1s3xR  
format short e; .j
w)e!<\N  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] ~qH@Kz\%  
format short; { q<l]jn9  

.EQFHStr  
%DDE Connection >sq9c/}X  
TP_COMMAND = ddeinit('TracePro','Scheme'); K.~U%v}  
%Create TIR 
hRu%> =7  
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)))']; HDOaN  
ddeexec(TP_COMMAND,cmd); u:$x,Q  
cmd =['(entity:move TIR 0 0 -2.3712)']; I'wAgf6W  
ddeexec(TP_COMMAND,cmd); \Qn8"I83AV  
cmd =['(property:apply-name TIR "TIR")']; tB.9Ov*  
ddeexec(TP_COMMAND,cmd); duCm+4,.  
%iv'/B8  
%Feedback dimensions of Lens part TIR uP
Pe"$  
result='Core系数如下：' LtBH4A  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d ?~Des"F6)1  
Aperture=r }2S \-  
Obstruction='None' }{"\"Bn_  
Position=P_Core(5) MRc^lYj{  
format short e; WjB[e>  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] bUNp>H>L  
format short; Jo ^o`9  
%Create Core 
j&9~OXYv  
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)))']; g@L4G?hLn  
ddeexec(TP_COMMAND,cmd); !p$V7pFu6  
cmd =['(entity:move Core 0 0 5.9493)']; ]jYM;e  
ddeexec(TP_COMMAND,cmd); 2StpcAlU}  
cmd =['(property:apply-name Core "Core")'];
Hw Is7  
ddeexec(TP_COMMAND,cmd); ~A)$="  
"M tQj}  
%Create Lens iu .{L(m  
cmd =['(define Unite (bool:unite TIR Core))']; nJnan,`W  
ddeexec(TP_COMMAND,cmd); foeVjL:T  
cmd =['(define block (insert:block 100 100 100))']; @?U5t1O<  
ddeexec(TP_COMMAND,cmd); uH#NJoRO  
cmd =['(entity:move block 0 0 -50)']; = N#Ww
NC  
ddeexec(TP_COMMAND,cmd); <|4j<U  
cmd =['(define Lens (bool:subtract Unite block))']; t65!2G"<  
ddeexec(TP_COMMAND,cmd); &zR}jD>  
cmd =['(property:apply-name Lens "Lens")']; SO%5ts  
ddeexec(TP_COMMAND,cmd); ?cJ$=  
T]xGE   
%Close the DDE connection )UeG2dXx7  
ddeterm(TP_COMMAND); ?/\;K1c p  

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