[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： $Ith8p~  
% By Ruibin 08-9-25 $oo`]R_   
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. ?RMOy$L  
'=V!Y$tn  
clear all;clc Ed>Dhy6\r  
GdlzpBl  
% The Frist Step: Define independent parameters O^L#(8bC  
r=3.25;               %选择开孔半径 sx]kH$  
R=4.25;               %定义曲面底部半径 )o;oOPT!  
d=1;                  %设置透镜前方平板高度 [dXpz^Co  
n=1.4935;             %定义材料折射率 <aPbKDF~V  
dividing_angle=24;    %定义Core与TIR的分界角 N}/|B}  
min_angle=1;          %设置计算精度 `Vf k
.OP  
N=4;                  %设定拟合非球面系数阶数
5Xr<~xr  
c?/R=/H  
% The Second Step：Caculate induced variable +{5y,0R  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); h8)m2KrZ!.  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); vUNmN2pRJ  
for i=1:(num_Core) zQ=c6xvm8  
a_Core(i)=(angles_Core(i)*pi/180); T!F0_<  
k1(i)=cot(a_Core(i)); fp)%Cr  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); Y48MCL  
end  <j<V{Wc  
k1(num_Core)=999;k2(num_Core)=0; |l#<vw wE  
for i=1:num_TIR h
@H8oZ[  
a_TIR(i)=(angles_TIR(i)*pi/180); j]X$7  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); <=g{E-  
k4(i)=tan(asin(cos(a_TIR(i))/n));  L#>^R   
end )zK6>-KWA  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); i*\\j1mf  
;J&p17~T9  
% The Third Step:Solve functions `({Bi!%i  
for i=1:num_Core                    %Solve the curve of Core  ~0T;T  
syms x; /9 ^F_2'_  
f1=k1(i)*x; %vZTD+i  
f2=k2(i)*(x-X0_Core)+Y0_Core; }QzF.![~z  
f=f1-f2; n]Z() "D  
x=double(solve(f));y=k1(i)*x; YKV?I   
X0_Core=x;Y0_Core=y; IBn+42V  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; :5DL&,,Q3  
end = 9K5f#;e  
for i=1:num_TIR                      %Solve the curve of TIR .I#ss66h  
syms x;
&9ZrZ"]  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; m.g2>r`NU  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); Gdu5 &]H#6  
f=f1-f2; 5?=haGn  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; $E,,::oJ  
X0_TIR=x;Y0_TIR=y; t8:QK9|1  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; >K@Y8J+e#  
end vS1#ien#  
5%#V>|@e#  
% The furth Step:Fitting the curve KM:k<pvi  
P_Core=polyfit(Px_Core,Py_Core,4); N7l`-y  
P_TIR=polyfit(Px_TIR,Py_TIR,4); a@v}j&  
q,%lG$0v  
% The fifth Step:Feedback chief dimensions of the lens and Create it h|Ah\P?o  
%Feedback dimensions of the whole lens ,l )7]p*X  
result='透镜尺寸如下：' OC5\3H  
Diameter_of_lens=2*Px_TIR(num_TIR) 7E]qP 5  
Thickness_of_lens=Py_TIR(num_TIR)+d Pz77\DpFi  
Diameter_of_Core=2*r l RM7s(^l  
Thickness_of_front_pannel=d bSv
r8FY3d  
Bottom_thickness=R-r D~T;z pS  
Lowest_Core=P_Core(5) :oeDksld  
0YA  
%Feedback dimensions of Lens part TIR Q| _e=  
result='TIR系数如下：' 5fjL  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d AQU^7O  
Aperture=Px_TIR(num_TIR) !V O^oD7  
Obstruction=r ~bnyk%S o  
Position=P_TIR(5) (Z |Nz*<  
format short e; 3vC"Q!J&  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] {?YBJnG}x  
format short; ?qJt4Om  
[~Vj(H=KwI  
%DDE Connection m3']/}xHO  
TP_COMMAND = ddeinit('TracePro','Scheme'); my+2@ln  
%Create TIR &peUC n  
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; 
w'Vm'zo  
ddeexec(TP_COMMAND,cmd); bD:[r))#e  
cmd =['(entity:move TIR 0 0 -2.3712)']; s,|"s|P  
ddeexec(TP_COMMAND,cmd); e anR$I;Yj  
cmd =['(property:apply-name TIR "TIR")']; |x+g5~$  
ddeexec(TP_COMMAND,cmd); kb~;s-$O`s  
;^f ;<  
%Feedback dimensions of Lens part TIR t#N@0kIX.  
result='Core系数如下：' CwdeW.A"j  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d ; nc3O{rU  
Aperture=r sg9  
Obstruction='None' A?+cdbxJw  
Position=P_Core(5) pybE0]
  
format short e; Z!foD^&R  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] TJ_pMU  
format short; 8~j1  
%Create Core M;j)F  
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)))']; "STd ;vR  
ddeexec(TP_COMMAND,cmd); T8W;Lb9hQ
 
cmd =['(entity:move Core 0 0 5.9493)']; e.Gjp{  
ddeexec(TP_COMMAND,cmd); i38`2  
cmd =['(property:apply-name Core "Core")']; TMw6 EM  
ddeexec(TP_COMMAND,cmd); ,TlYQ/j%h  
,JqCxb9  
%Create Lens 1%$Z%?  
cmd =['(define Unite (bool:unite TIR Core))']; IcJQC  
ddeexec(TP_COMMAND,cmd); t b>At*tO  
cmd =['(define block (insert:block 100 100 100))']; r0/aw  
ddeexec(TP_COMMAND,cmd); ?^gq  
cmd =['(entity:move block 0 0 -50)']; zFm:=,9  
ddeexec(TP_COMMAND,cmd); rGmxK|R  
cmd =['(define Lens (bool:subtract Unite block))']; wzf  
ddeexec(TP_COMMAND,cmd); vX}#wDN
P  
cmd =['(property:apply-name Lens "Lens")']; 36MNaQt'e  
ddeexec(TP_COMMAND,cmd); ,(;]8G-Yj  
.r~M7 I  
%Close the DDE connection Px?zih!6  
ddeterm(TP_COMMAND); FjV)QP H  

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