[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： +a}>cAj*  
% By Ruibin 08-9-25 NncII5z  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. 7)37AKw  
g RBbL1  
clear all;clc 8/`ij?gn  
(=/}i'  
% The Frist Step: Define independent parameters RqRyZ*n  
r=3.25;               %选择开孔半径 %P`w"H,v3#  
R=4.25;               %定义曲面底部半径 "?#O*x  
d=1;                  %设置透镜前方平板高度 I18<brZJ  
n=1.4935;             %定义材料折射率 QPJz~;V2  
dividing_angle=24;    %定义Core与TIR的分界角 ".Sa[A;~  
min_angle=1;          %设置计算精度 {2
MS,
Ua{  
N=4;                  %设定拟合非球面系数阶数 <A@qN95m  
rX@?~(^ML  
% The Second Step：Caculate induced variable BhCOT+i;c  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); I2^Eo5'  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); [3fmhc  
for i=1:(num_Core) 9  7Mi{Zz  
a_Core(i)=(angles_Core(i)*pi/180); Tg\wBhJr|  
k1(i)=cot(a_Core(i)); wzz>N@|  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); bbxo!K m"  
end :zLeS-  
k1(num_Core)=999;k2(num_Core)=0; tB==v{t  
for i=1:num_TIR (YKkJ  
a_TIR(i)=(angles_TIR(i)*pi/180); r0/o{Y|l6  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); hz*H,E!>  
k4(i)=tan(asin(cos(a_TIR(i))/n)); $61j_;WF`  
end R"V^%z;8o  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); w~l%xiC  
B7ty*)i?  
% The Third Step:Solve functions p~NFiZ,  
for i=1:num_Core                    %Solve the curve of Core c&;Xjy  
syms x; ^b@&O-&s  
f1=k1(i)*x;
8KyF0r?  
f2=k2(i)*(x-X0_Core)+Y0_Core; n>aH7  
f=f1-f2; Os"T,`F2s  
x=double(solve(f));y=k1(i)*x; D~LU3#n  
X0_Core=x;Y0_Core=y; DfV'1s4y  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; YCnKX<Wv  
end qF57T>v|  
for i=1:num_TIR                      %Solve the curve of TIR GG$&=.$  
syms x; d gRTV<vM  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; c3q @]|aI  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); [[gfR'79{  
f=f1-f2; 5BsfbLKC  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; 85 <%L:EC  
X0_TIR=x;Y0_TIR=y; unN=yeut  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; cLyed3uU  
end wS}Rl}#Oh?  
6 ~d\+aV  
% The furth Step:Fitting the curve NQqq\h  
P_Core=polyfit(Px_Core,Py_Core,4); tX7TP(  
P_TIR=polyfit(Px_TIR,Py_TIR,4); i$W E1-  
MR-cOPn  
% The fifth Step:Feedback chief dimensions of the lens and Create it "?SR+;Y:q  
%Feedback dimensions of the whole lens :Co+haW  
result='透镜尺寸如下：' \\i$zRi  
Diameter_of_lens=2*Px_TIR(num_TIR)
%^ g(2^  
Thickness_of_lens=Py_TIR(num_TIR)+d !p$k<?WXc  
Diameter_of_Core=2*r DX#_0-o  
Thickness_of_front_pannel=d FErKr)  
Bottom_thickness=R-r ztHEXM.  
Lowest_Core=P_Core(5) 
X'XH-E  
z1`z k0  
%Feedback dimensions of Lens part TIR F,>-+~L=  
result='TIR系数如下：' *^t7?f[  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d k}$k6Sr"  
Aperture=Px_TIR(num_TIR) 8jz[;.jP",  
Obstruction=r }&:F,q*  
Position=P_TIR(5) k%fy  
format short e; bf&k:.v'8  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] h(Ccm
44  
format short; os~}5QJ  
qk=0ovUzg  
%DDE Connection ;gmfWHB<  
TP_COMMAND = ddeinit('TracePro','Scheme'); CKgbb4;<m[  
%Create TIR 1?N$I}?  
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; 9&p;2/H  
ddeexec(TP_COMMAND,cmd); t?404  
cmd =['(entity:move TIR 0 0 -2.3712)']; U)y~{E~c34  
ddeexec(TP_COMMAND,cmd); #RWHk  
cmd =['(property:apply-name TIR "TIR")']; _rjLCvv-  
ddeexec(TP_COMMAND,cmd); 'p:L"L}Q?  
>HlQ+bl$xw  
%Feedback dimensions of Lens part TIR 1l`$.k  
result='Core系数如下：' N>3X!K  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d #Y'svn1H  
Aperture=r .vJt&@NO  
Obstruction='None' 6K 6uB ~  
Position=P_Core(5) &6}] v:  
format short e; {%Ujp9i  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] \NI0rL  
format short; vspub^;5\  
%Create Core SP |R4*KY  
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; cgvD>V
Uw  
ddeexec(TP_COMMAND,cmd); 2lm{:tS  
cmd =['(entity:move Core 0 0 5.9493)']; 0nO
p'Ky\k  
ddeexec(TP_COMMAND,cmd); n]+v Eu|  
cmd =['(property:apply-name Core "Core")']; y$^.HI02jP  
ddeexec(TP_COMMAND,cmd); RS`~i8e'  
06peo d  
%Create Lens jQ[M4)>_k`  
cmd =['(define Unite (bool:unite TIR Core))']; Wr+1G 8  
ddeexec(TP_COMMAND,cmd); Q0cr^24/  
cmd =['(define block (insert:block 100 100 100))']; B{+ Ra  
ddeexec(TP_COMMAND,cmd); &?@5G  
cmd =['(entity:move block 0 0 -50)']; byUz  
ddeexec(TP_COMMAND,cmd); ,BCo/j  
cmd =['(define Lens (bool:subtract Unite block))']; )-4xI4  
ddeexec(TP_COMMAND,cmd); A"8"e*  
cmd =['(property:apply-name Lens "Lens")']; ZD'fEqM  
ddeexec(TP_COMMAND,cmd); o)hQ]d  
dfoFs&CSKh  
%Close the DDE connection sXaIQhZ  
ddeterm(TP_COMMAND); |vY0[#E8&  

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