[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： xp"5L8:C  
% By Ruibin 08-9-25 VWR6/,N^_  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions.  d365{  
YF<;s^&@u  
clear all;clc /MQI5Djg  
a6fqtkZ x  
% The Frist Step: Define independent parameters V$XCe  
r=3.25;               %选择开孔半径 6H_7M(f  
R=4.25;               %定义曲面底部半径 P~"`Og+  
d=1;                  %设置透镜前方平板高度 /SDDCZ`;|c  
n=1.4935;             %定义材料折射率 Z39I*-6F9W  
dividing_angle=24;    %定义Core与TIR的分界角 \%D/]"@r  
min_angle=1;          %设置计算精度 $x%
VUms  
N=4;                  %设定拟合非球面系数阶数 s9-aPcA  
*w;=o}`  
% The Second Step：Caculate induced variable Ohmi(s   
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); R@)L@M)u;  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); "Gh?hU,WWZ  
for i=1:(num_Core) BVpRkUC"  
a_Core(i)=(angles_Core(i)*pi/180); ,
5L[M&5  
k1(i)=cot(a_Core(i)); ?3 l4U  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); m!-,K8  
end s&7,gWy}BE  
k1(num_Core)=999;k2(num_Core)=0; Nn;p1n dN  
for i=1:num_TIR T m0m$l  
a_TIR(i)=(angles_TIR(i)*pi/180); d;D8$q)8
Q  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); V=,VOw4  
k4(i)=tan(asin(cos(a_TIR(i))/n)); {|~22UkF[V  
end z"C+r'39d=  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); _jW}p-j  
ch%-Cg~%  
% The Third Step:Solve functions !wttKUO?  
for i=1:num_Core                    %Solve the curve of Core S%7^7MSqA  
syms x; ?u9JRXj%  
f1=k1(i)*x; ,mE*k79L6  
f2=k2(i)*(x-X0_Core)+Y0_Core; . !|3a  
f=f1-f2; mzl %h[9iI  
x=double(solve(f));y=k1(i)*x; HjO-6F#s  
X0_Core=x;Y0_Core=y; L[Dr[  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; [z1[4  
end dm&vLQVS  
for i=1:num_TIR                      %Solve the curve of TIR ;*Cu >f7  
syms x; u-a*fT  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; mGmkeD'  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); <d\Lvo[  
f=f1-f2; 9aE!! (E  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; 8Jd\2T7h  
X0_TIR=x;Y0_TIR=y; j'V# =vH  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; 9(>l trA  
end *$ihNX]YG  
<XV\8Y+n  
% The furth Step:Fitting the curve V+mTo^  
P_Core=polyfit(Px_Core,Py_Core,4); >~kSe=Hsb4  
P_TIR=polyfit(Px_TIR,Py_TIR,4); 4$=Dq$4z
 
xsq+RBJi  
% The fifth Step:Feedback chief dimensions of the lens and Create it os]P6TFFX?  
%Feedback dimensions of the whole lens 0!c
^pOq6  
result='透镜尺寸如下：' =jX'FNv#  
Diameter_of_lens=2*Px_TIR(num_TIR) .I@jt?6X  
Thickness_of_lens=Py_TIR(num_TIR)+d g$\Z-!(  
Diameter_of_Core=2*r RQZ|:SvV  
Thickness_of_front_pannel=d mE"?{~XVL  
Bottom_thickness=R-r l0m\2Ttf  
Lowest_Core=P_Core(5) Z2]ySyt]  
+K3SAGm  
%Feedback dimensions of Lens part TIR s.E}xv  
result='TIR系数如下：' 6}YWM]c%  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d
eUyQSI4A  
Aperture=Px_TIR(num_TIR) )|88wa(M  
Obstruction=r jrMY]Ea2`  
Position=P_TIR(5) 5y
. n  
format short e; A d0dg2Gw  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] ,1"w2,=  
format short; &J)q_Z8  
idLysxN  
%DDE Connection vxxa,KR/y  
TP_COMMAND = ddeinit('TracePro','Scheme'); R0R
 Xw  
%Create TIR !vU$^>zo~  
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)))']; Nj2f?',;U  
ddeexec(TP_COMMAND,cmd); xhAORhw#  
cmd =['(entity:move TIR 0 0 -2.3712)']; eGZX6Q7m  
ddeexec(TP_COMMAND,cmd); Md9b_&'  
cmd =['(property:apply-name TIR "TIR")']; I<q=lK  
ddeexec(TP_COMMAND,cmd); x<'(b7{U0  
*TpzX y  
%Feedback dimensions of Lens part TIR { jnQoxN  
result='Core系数如下：' 8KioL{h  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d %rpJZ t  
Aperture=r $'I+] ;  
Obstruction='None' D:9/;9V  
Position=P_Core(5) %ec9`0^4S  
format short e; |fMjg'%{}  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] ~RV>V*l  
format short; m@hmu}qz-  
%Create Core EK^B=)q6:W  
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)))']; o0Z(BTO  
ddeexec(TP_COMMAND,cmd); y9?~^pTx  
cmd =['(entity:move Core 0 0 5.9493)']; 3Zm'09A-.  
ddeexec(TP_COMMAND,cmd); U
!E   
cmd =['(property:apply-name Core "Core")']; "T/ vE  
ddeexec(TP_COMMAND,cmd); 5:mS~  
VtX9}<Ch~  
%Create Lens -e"~UDq`  
cmd =['(define Unite (bool:unite TIR Core))']; x.rOP_rs  
ddeexec(TP_COMMAND,cmd); C3n_'O  
cmd =['(define block (insert:block 100 100 100))']; H[ 6L!  
ddeexec(TP_COMMAND,cmd); ~c~$2Xo  
cmd =['(entity:move block 0 0 -50)']; _pSCv:3T  
ddeexec(TP_COMMAND,cmd); ~429sT(  
cmd =['(define Lens (bool:subtract Unite block))']; rO]7g  
ddeexec(TP_COMMAND,cmd); ^goa$uxU  
cmd =['(property:apply-name Lens "Lens")']; Y}_J@&:  
ddeexec(TP_COMMAND,cmd); C WJGr:}&  
KdT1Nb=  
%Close the DDE connection j?&Rf,,%  
ddeterm(TP_COMMAND); GY@-}p~it  

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