[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： ?'>pfU  
% By Ruibin 08-9-25 kAc8[Hn  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. jQ>~  
-|F(qf  
clear all;clc imb.CYS74  
'M20v-[  
% The Frist Step: Define independent parameters O_vCZW a3  
r=3.25;               %选择开孔半径 ?2d! ^!9  
R=4.25;               %定义曲面底部半径 bhk:Szqz  
d=1;                  %设置透镜前方平板高度 'PO+P~|oa&  
n=1.4935;             %定义材料折射率 }EJAC*W,  
dividing_angle=24;    %定义Core与TIR的分界角 +95: O 8  
min_angle=1;          %设置计算精度 eKpWFP0  
N=4;                  %设定拟合非球面系数阶数 dWKjVf  
#bIUO2yVo  
% The Second Step：Caculate induced variable su2|x  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); M
SQz,nn  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); YCBp]xuE  
for i=1:(num_Core) \S5YS2,P  
a_Core(i)=(angles_Core(i)*pi/180); ;@
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k1(i)=cot(a_Core(i)); 9Rf})$o+  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); `1xJ1z#  
end le7!:4/8  
k1(num_Core)=999;k2(num_Core)=0; 6h5DvSO  
for i=1:num_TIR ?aMd#.&  
a_TIR(i)=(angles_TIR(i)*pi/180); V^S` d8?  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); fx74h{3u  
k4(i)=tan(asin(cos(a_TIR(i))/n)); VbU*&{j  
end {OIktG2gZ  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); s?j||  
[B_(,/?  
% The Third Step:Solve functions Zqi;by%  
for i=1:num_Core                    %Solve the curve of Core !3*:
6  
syms x; 0&
21'K)pW  
f1=k1(i)*x; Xi  8rD"v  
f2=k2(i)*(x-X0_Core)+Y0_Core; dj}y6V&  
f=f1-f2; m)\wbkC  
x=double(solve(f));y=k1(i)*x; +.3,(l  
X0_Core=x;Y0_Core=y; =NNA7E7c  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; ,qUOPW?=  
end }57d3s  
for i=1:num_TIR                      %Solve the curve of TIR Id}@  
syms x; W{!Slf  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; *B*dWMh  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); wJ>.I<F6B  
f=f1-f2; EJByYk   
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; IKs2.sj"o  
X0_TIR=x;Y0_TIR=y; PrQs_tNi  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; e$Npo<u  
end TBU.%3dEyI  
QnMN8Q9  
% The furth Step:Fitting the curve zNh$d;(O$^  
P_Core=polyfit(Px_Core,Py_Core,4); H_&z-g`  
P_TIR=polyfit(Px_TIR,Py_TIR,4); BpR#3CfW  
1)N~0)dO  
% The fifth Step:Feedback chief dimensions of the lens and Create it *.P3fVlZ  
%Feedback dimensions of the whole lens C<B1zgX  
result='透镜尺寸如下：' r1]DkX <6  
Diameter_of_lens=2*Px_TIR(num_TIR) b&g`AnYT  
Thickness_of_lens=Py_TIR(num_TIR)+d J_@`:l0,z  
Diameter_of_Core=2*r fa#5pys  
Thickness_of_front_pannel=d q% pjY  
Bottom_thickness=R-r L=v"5)m2R  
Lowest_Core=P_Core(5) ,!I'0x1OR  
Xhk_h2F[  
%Feedback dimensions of Lens part TIR P$hmDTn72  
result='TIR系数如下：' k1sR^&{l  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d %:=Jr#a  
Aperture=Px_TIR(num_TIR) "v[?`<53^l  
Obstruction=r =>u9k:('9  
Position=P_TIR(5) ?S0gazZm
 
format short e; Z#_+yw  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] )an,-EIX%  
format short; a"pejW`m  
bqI| wGCA"  
%DDE Connection ~'3
hK4  
TP_COMMAND = ddeinit('TracePro','Scheme'); 0o*  
%Create TIR .#wU+t>  
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)))']; j87IxB?o  
ddeexec(TP_COMMAND,cmd); RxrUnM
F  
cmd =['(entity:move TIR 0 0 -2.3712)']; 0Ik}\lcn  
ddeexec(TP_COMMAND,cmd); uJ_"g
PO  
cmd =['(property:apply-name TIR "TIR")']; mj^]e/s%  
ddeexec(TP_COMMAND,cmd); M hJ;)(  
6( ~DS9  
%Feedback dimensions of Lens part TIR Yv7`5b{N.  
result='Core系数如下：' r<XlIi  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d ;=oGg%@aP  
Aperture=r $0wF4$)  
Obstruction='None' [R9!Tz  
Position=P_Core(5) 1u\kxlZ  
format short e; vp#r:+=  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] ^{(i;IVG  
format short; ypA)G/;  
%Create Core NX5NE2@^qH  
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)))']; DUOSL  
ddeexec(TP_COMMAND,cmd); u*C"d1v=  
cmd =['(entity:move Core 0 0 5.9493)']; \&)k{P>=  
ddeexec(TP_COMMAND,cmd); }N}\<RG  
cmd =['(property:apply-name Core "Core")']; /@~&zx&_  
ddeexec(TP_COMMAND,cmd); MI<XLn!*  
cc|"^-j-7  
%Create Lens $v*0\O  
cmd =['(define Unite (bool:unite TIR Core))']; RI2Or9.  
ddeexec(TP_COMMAND,cmd); ZPolE_P
7  
cmd =['(define block (insert:block 100 100 100))']; y+ZCuX  
ddeexec(TP_COMMAND,cmd); z,#3YC{'  
cmd =['(entity:move block 0 0 -50)']; 2xJT!lN  
ddeexec(TP_COMMAND,cmd); !YJ^BI    
cmd =['(define Lens (bool:subtract Unite block))']; {Vj25Gt  
ddeexec(TP_COMMAND,cmd); T.j&UEsd  
cmd =['(property:apply-name Lens "Lens")']; lS:R##  
ddeexec(TP_COMMAND,cmd); Vy:MK9U2  
Z<t(h=?  
%Close the DDE connection }bxx]rDl  
ddeterm(TP_COMMAND); xw%'R-  

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