[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： ! ^U!T\qDi  
% By Ruibin 08-9-25 8G p%Q  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. 75#&hi/~  
b+ v!3|  
clear all;clc !T8h+3I  
/M8&`  
% The Frist Step: Define independent parameters yBwCFn.uP-  
r=3.25;               %选择开孔半径 _,9/g^<  
R=4.25;               %定义曲面底部半径 C{Er%  
d=1;                  %设置透镜前方平板高度 d+:pZ  
n=1.4935;             %定义材料折射率 J |TA12s  
dividing_angle=24;    %定义Core与TIR的分界角 0hx EI  
min_angle=1;          %设置计算精度 6(.]TEu0  
N=4;                  %设定拟合非球面系数阶数 .6nNqGua1  
i\u m;\  
% The Second Step：Caculate induced variable N|L Ey  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); OQm-BL  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); h\qM5Qx+Q  
for i=1:(num_Core) )'gO
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a_Core(i)=(angles_Core(i)*pi/180); !9JK95;  
k1(i)=cot(a_Core(i)); (#;<iu}  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); 1k! xG$g0  
end 4{oS(Vl!  
k1(num_Core)=999;k2(num_Core)=0; 8'X:}O/  
for i=1:num_TIR j?rq%rQd  
a_TIR(i)=(angles_TIR(i)*pi/180); XT 'v7  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); ]@MBE1M  
k4(i)=tan(asin(cos(a_TIR(i))/n)); h q
&2o  
end XQ]5W(EP  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); F)g.xQ  
89{@2TXR
 
% The Third Step:Solve functions nXuoRZ  
for i=1:num_Core                    %Solve the curve of Core Vr=c06a2  
syms x; <n:j@a\up0  
f1=k1(i)*x; [J.-gN$X@  
f2=k2(i)*(x-X0_Core)+Y0_Core; ?u]%T]W  
f=f1-f2; 0au\X$)Q  
x=double(solve(f));y=k1(i)*x; 5
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X0_Core=x;Y0_Core=y; qc-4;m o  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; \f7Aj>  
end gM<*(=x'  
for i=1:num_TIR                      %Solve the curve of TIR /"M7YPX;  
syms x; [:!D.@h|  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; _,JdL'[d  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); ZiS<vWa3R  
f=f1-f2; ch%-Cg~%  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; !wttKUO?  
X0_TIR=x;Y0_TIR=y; S%7^7MSqA  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; C r~!N|(  
end aI6fPQe  
T]%:+_,  
% The furth Step:Fitting the curve 3K57xJzK  
P_Core=polyfit(Px_Core,Py_Core,4); 8[|RsM  
P_TIR=polyfit(Px_TIR,Py_TIR,4); S>o
Qm  
i$A0_ZJKjZ  
% The fifth Step:Feedback chief dimensions of the lens and Create it aBO%qmtt  
%Feedback dimensions of the whole lens ;*Cu >f7  
result='透镜尺寸如下：' u-a*fT  
Diameter_of_lens=2*Px_TIR(num_TIR) )NwIEk>Tf  
Thickness_of_lens=Py_TIR(num_TIR)+d ^sNj[%I R  
Diameter_of_Core=2*r 6_# >s1`R  
Thickness_of_front_pannel=d : _>/Yd7-&  
Bottom_thickness=R-r BQol>VRu  
Lowest_Core=P_Core(5) , LP |M:  
5Y\wXqlY  
%Feedback dimensions of Lens part TIR QJaF6>m  
result='TIR系数如下：' *k(>Qsb "  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d K0i[D"
 
Aperture=Px_TIR(num_TIR) X~O2!F  
Obstruction=r oD]riA>jC  
Position=P_TIR(5) Rmrv@.dr!  
format short e; 6Y|jK<n?H  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] .I@jt?6X  
format short; fBptjt_  
75t\= 6#  
%DDE Connection YJlpP0;++  
TP_COMMAND = ddeinit('TracePro','Scheme'); ?=%Q$|]-  
%Create TIR Z2]ySyt]  
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)))']; +K3SAGm  
ddeexec(TP_COMMAND,cmd); 7B`,q-x.  
cmd =['(entity:move TIR 0 0 -2.3712)']; L+}q !'8S  
ddeexec(TP_COMMAND,cmd); do2~L
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cmd =['(property:apply-name TIR "TIR")']; S0_#h)  
ddeexec(TP_COMMAND,cmd); d85\GEF9i  
TS9=A1J#  
%Feedback dimensions of Lens part TIR |Go?A/'  
result='Core系数如下：' KrhAObK  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d cC_L4  
Aperture=r l@8UL</W  
Obstruction='None' ydCVG,"  
Position=P_Core(5)
@Fp-6J  
format short e; Mt@
P}4  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] !H`Q^Xf}  
format short; qsjTo@A  
%Create Core O'~c;vBI  
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)))'];
:GU6v4u  
ddeexec(TP_COMMAND,cmd); km;M!}D  
cmd =['(entity:move Core 0 0 5.9493)']; >9o(84AxIH  
ddeexec(TP_COMMAND,cmd); Im;8Abf  
cmd =['(property:apply-name Core "Core")'];
'sCj\N  
ddeexec(TP_COMMAND,cmd); %z6.}4h  
oJ cR)H  
%Create Lens &j\<UPn  
cmd =['(define Unite (bool:unite TIR Core))']; 7gR8Wr ^  
ddeexec(TP_COMMAND,cmd); sE4=2p`x  
cmd =['(define block (insert:block 100 100 100))']; gW
o`i  
ddeexec(TP_COMMAND,cmd); _`>F>aP  
cmd =['(entity:move block 0 0 -50)']; ?j^[7  
ddeexec(TP_COMMAND,cmd); K|-?1)Um  
cmd =['(define Lens (bool:subtract Unite block))']; bwjjwu&  
ddeexec(TP_COMMAND,cmd); P=:mn>  
cmd =['(property:apply-name Lens "Lens")']; _c=[P@  
ddeexec(TP_COMMAND,cmd); (vCMff/ Y1  
c?qg i"kS  
%Close the DDE connection M <oy  
ddeterm(TP_COMMAND); #On EQ:  

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