[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： RI=B(0A  
% By Ruibin 08-9-25 [geY:v_B  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. PdZSXP4;k  
vI@8DWs  
clear all;clc ->(B:Cz  
Y'T
#  
% The Frist Step: Define independent parameters nDvWOt  
r=3.25;               %选择开孔半径 ;o\wSHc  
R=4.25;               %定义曲面底部半径 b+>godTi_  
d=1;                  %设置透镜前方平板高度 3'wBX  
n=1.4935;             %定义材料折射率 Ih0GzyU*4  
dividing_angle=24;    %定义Core与TIR的分界角 QZfnoKz  
min_angle=1;          %设置计算精度 MgekLP)&  
N=4;                  %设定拟合非球面系数阶数 |Th{*IJ<,  
Lnzhs;7L  
% The Second Step：Caculate induced variable 'Vd>"ti  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); ^BZdR<;  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); 7^F?key?  
for i=1:(num_Core) .+<K-'&=  
a_Core(i)=(angles_Core(i)*pi/180); ?m6E@.{  
k1(i)=cot(a_Core(i)); e+mD$(h  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); ~xCy(dL^}  
end D<`X B*  
k1(num_Core)=999;k2(num_Core)=0; Xqy{=:0  
for i=1:num_TIR cW RY[{v  
a_TIR(i)=(angles_TIR(i)*pi/180); =6$(m}(74  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); g;pFT  
k4(i)=tan(asin(cos(a_TIR(i))/n)); 0U<9=[~q7@  
end  ulQE{c[  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); >&R|t_ypw  
#?9oA4Q  
% The Third Step:Solve functions R~i<*  
for i=1:num_Core                    %Solve the curve of Core \3l;PY  
syms x; Vk"QcW
  
f1=k1(i)*x; +vP1DXtj(  
f2=k2(i)*(x-X0_Core)+Y0_Core; &Ru6Yt0W  
f=f1-f2; a'Z"Yz^Eo  
x=double(solve(f));y=k1(i)*x; 7"NUof?i  
X0_Core=x;Y0_Core=y; MAXdgL[]  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; 4{Iz\:G:{/  
end R?W8l5CIk  
for i=1:num_TIR                      %Solve the curve of TIR ;8@A7`^  
syms x; zri<'W  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; VioVtP0  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); nT>?}/S  
f=f1-f2; G`pI{_-e  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; ?@
nu]~  
X0_TIR=x;Y0_TIR=y; cH#`f4  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; x~W&a*WNT  
end P|\,kw>l  
V;m3=k0U  
% The furth Step:Fitting the curve p7*\]HyE)  
P_Core=polyfit(Px_Core,Py_Core,4); p"T4;QBxQ  
P_TIR=polyfit(Px_TIR,Py_TIR,4); z|9 ^T@)  
|^1eL I  
% The fifth Step:Feedback chief dimensions of the lens and Create it mp#5Vc  
%Feedback dimensions of the whole lens ?$ 3=m)s  
result='透镜尺寸如下：' a
U3&=aN+  
Diameter_of_lens=2*Px_TIR(num_TIR) GXAcyOV  
Thickness_of_lens=Py_TIR(num_TIR)+d ,YoIn  
Diameter_of_Core=2*r eaI&DP  
Thickness_of_front_pannel=d K= 69z  
Bottom_thickness=R-r n8?gZ` W  
Lowest_Core=P_Core(5)  np~oF  
(i`DUF'#y  
%Feedback dimensions of Lens part TIR aAX 8m  
result='TIR系数如下：' D@2Tx  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d |h#mv~cF  
Aperture=Px_TIR(num_TIR) h\1_$ac  
Obstruction=r @g{=f55  
Position=P_TIR(5) ?D.]c;PR  
format short e; W4N$]D=  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] wj/r)rv E  
format short; ?0%lB=qQ  
(\Dd9a8V-  
%DDE Connection 9gFC]UVWh  
TP_COMMAND = ddeinit('TracePro','Scheme'); a9"Gg}h\  
%Create TIR bC&_OU:  
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)))'];
xT@\FwPr  
ddeexec(TP_COMMAND,cmd); E_xpq  
cmd =['(entity:move TIR 0 0 -2.3712)']; bNqjjg  
ddeexec(TP_COMMAND,cmd); lVqvS/_k$  
cmd =['(property:apply-name TIR "TIR")']; MOj 0"x)  
ddeexec(TP_COMMAND,cmd); 5SDHZ?h  
N%`ikdaTd  
%Feedback dimensions of Lens part TIR r+) A)a,  
result='Core系数如下：' kcQ |Z
g  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d E;h#3 B9  
Aperture=r 7Npz {C{I  
Obstruction='None' bJ9>,,D  
Position=P_Core(5) \ Xuu|]  
format short e; e'u9 SpJ  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] D[U5SS!)  
format short; 9m<>G3Jr  
%Create Core M'*
 Y  
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)))']; +
('jqbV  
ddeexec(TP_COMMAND,cmd); {4#'`Eejj  
cmd =['(entity:move Core 0 0 5.9493)']; 4).q+{#k  
ddeexec(TP_COMMAND,cmd); @$Y`I{Xf  
cmd =['(property:apply-name Core "Core")']; h8nJ$jg  
ddeexec(TP_COMMAND,cmd); Pj+XKDV]T  
C7PHZ`<  
%Create Lens L8!xn&uyP=  
cmd =['(define Unite (bool:unite TIR Core))']; \5J/?  
ddeexec(TP_COMMAND,cmd); rNZN}g  
cmd =['(define block (insert:block 100 100 100))']; lqu1H&  
ddeexec(TP_COMMAND,cmd); a?@j`@]ZR~  
cmd =['(entity:move block 0 0 -50)']; 8on2BC2  
ddeexec(TP_COMMAND,cmd); c,e 0+  
cmd =['(define Lens (bool:subtract Unite block))']; $NqT={
!  
ddeexec(TP_COMMAND,cmd); Dtelr=/s  
cmd =['(property:apply-name Lens "Lens")']; TC ^EyjD  
ddeexec(TP_COMMAND,cmd); KO:o GUR  
U{HJNftdpm  
%Close the DDE connection #Jg)HU9  
ddeterm(TP_COMMAND); 6N6d[t"  

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