[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：  FsbX{  
% By Ruibin 08-9-25 >;ucwLi  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. 7r_Y.  
o#IQz_  
clear all;clc wJ|wAS  
vT7ei"~&u  
% The Frist Step: Define independent parameters wF`9}9q  
r=3.25;               %选择开孔半径 fR4O^6c:  
R=4.25;               %定义曲面底部半径 kp+\3z_  
d=1;                  %设置透镜前方平板高度 gXR1nnK  
n=1.4935;             %定义材料折射率 @Lj28&4:<  
dividing_angle=24;    %定义Core与TIR的分界角 9bpY>ze  
min_angle=1;          %设置计算精度 /y\KLa  
N=4;                  %设定拟合非球面系数阶数 u/@dWeY[]  
!u}}V  
% The Second Step：Caculate induced variable fy|Ae  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); 05<MsxB"w  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); -9 AI@^q  
for i=1:(num_Core) y?|JBf  
a_Core(i)=(angles_Core(i)*pi/180); IX /r  
k1(i)=cot(a_Core(i)); z]NN ^pIa  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); D;VFMP  
end [y>;  
k1(num_Core)=999;k2(num_Core)=0; *(~=L%s  
for i=1:num_TIR GUe&WW:Sqk  
a_TIR(i)=(angles_TIR(i)*pi/180); Rks3L  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); %rz.>4i)(  
k4(i)=tan(asin(cos(a_TIR(i))/n)); YdI|xu>0A^  
end !50Fue^JM  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); S> f8j?n  
*lN>RWbM%  
% The Third Step:Solve functions ]<0|"NL  
for i=1:num_Core                    %Solve the curve of Core Xegg2.Kk  
syms x; #_tixg  
f1=k1(i)*x; r9/PmZo4x  
f2=k2(i)*(x-X0_Core)+Y0_Core; ~PT(/L  
f=f1-f2; m|O7@N  
x=double(solve(f));y=k1(i)*x; ;b[% L&  
X0_Core=x;Y0_Core=y; W@^O'&3d  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; ?PIOuN=  
end o3hsPzOQx  
for i=1:num_TIR                      %Solve the curve of TIR pP&TFy#G+'  
syms x; T j7
i#o  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; a&Ti44a[  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); #^- U|~,  
f=f1-f2; io]e]m%  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR;  /{.  
X0_TIR=x;Y0_TIR=y; ]-$0?/`p8  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; *8zn\No<,  
end
VP$`.y  
f$x\~y<[  
% The furth Step:Fitting the curve 9HlRf6S  
P_Core=polyfit(Px_Core,Py_Core,4); Fz_SID  
P_TIR=polyfit(Px_TIR,Py_TIR,4); 9L}=xX`>?  
|pv:'']J  
% The fifth Step:Feedback chief dimensions of the lens and Create it hsVf/%  
%Feedback dimensions of the whole lens 4VjP:>*p  
result='透镜尺寸如下：'
/q4<ZS#  
Diameter_of_lens=2*Px_TIR(num_TIR) fA u^%jiU  
Thickness_of_lens=Py_TIR(num_TIR)+d M@rknq@  
Diameter_of_Core=2*r \N\Jny  
Thickness_of_front_pannel=d [s-Km/  
Bottom_thickness=R-r ,C88%k  
Lowest_Core=P_Core(5) #h@/~xr  
igp[cFN  
%Feedback dimensions of Lens part TIR  _2VL%  
result='TIR系数如下：' V:rq}F}  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d vdloh ,  
Aperture=Px_TIR(num_TIR) x8Rmap@L.  
Obstruction=r a%"My;8  
Position=P_TIR(5) AF4:v<EN  
format short e; uI7 d?s  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] $UMxO`F  
format short; }g:y!pk  
7hq*+e  
%DDE Connection 0^4uZeW?  
TP_COMMAND = ddeinit('TracePro','Scheme'); lzz rzx^  
%Create TIR 9FT
;?~,  
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; s+>VqyHgf  
ddeexec(TP_COMMAND,cmd); iN0gvjZ  
cmd =['(entity:move TIR 0 0 -2.3712)']; k=2]@K$%  
ddeexec(TP_COMMAND,cmd); kAbRXID  
cmd =['(property:apply-name TIR "TIR")']; " d3pkY  
ddeexec(TP_COMMAND,cmd); 8BC F.y  
Yxye?R-:  
%Feedback dimensions of Lens part TIR 2]n"7Z8(v8  
result='Core系数如下：'  $9dm2#0d  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d N\?%944R  
Aperture=r Ep/4o<N(  
Obstruction='None' 9^Q:l0|  
Position=P_Core(5) tuuc9H4B  
format short e; `QV}je  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] Q}~of}h/  
format short; ^GG6%=g'  
%Create Core /238pg~Cw5  
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; ]w.:K*_=  
ddeexec(TP_COMMAND,cmd); 76a+|TzR  
cmd =['(entity:move Core 0 0 5.9493)']; eOa:%{Kj  
ddeexec(TP_COMMAND,cmd); oR>o/$z$)g  
cmd =['(property:apply-name Core "Core")']; [Q&{#%M  
ddeexec(TP_COMMAND,cmd); |Ui1Mm  
CZ*c["x2  
%Create Lens 6/@"K HHVe  
cmd =['(define Unite (bool:unite TIR Core))']; bE _=L=NG  
ddeexec(TP_COMMAND,cmd); #/zPAcV:  
cmd =['(define block (insert:block 100 100 100))']; Ml)~%ZbF  
ddeexec(TP_COMMAND,cmd); })O^xF~  
cmd =['(entity:move block 0 0 -50)']; f>i6f@  
ddeexec(TP_COMMAND,cmd); Ym+k \h  
cmd =['(define Lens (bool:subtract Unite block))']; 7Wb:^.d g  
ddeexec(TP_COMMAND,cmd); j?D=Ij"o  
cmd =['(property:apply-name Lens "Lens")']; BRF=TL5Z  
ddeexec(TP_COMMAND,cmd); u1a5Vtel  
m`!C|?hu  
%Close the DDE connection #W,BUN}  
ddeterm(TP_COMMAND); }:C4T*|  

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