[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： $MT'ZM  
% By Ruibin 08-9-25 !7O!)WJ  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. =NHzh!  
3+EAMn  
clear all;clc -OS&(7  
9(/ ;Wutj"  
% The Frist Step: Define independent parameters S^Z[w|1  
r=3.25;               %选择开孔半径 krC4O2Fkj  
R=4.25;               %定义曲面底部半径 d:"]*EZ [  
d=1;                  %设置透镜前方平板高度 -&ic%0|f  
n=1.4935;             %定义材料折射率 u0@i3Po  
dividing_angle=24;    %定义Core与TIR的分界角 i:ZL0nH-  
min_angle=1;          %设置计算精度 lc71Pp>  
N=4;                  %设定拟合非球面系数阶数 TFWx(}1  
8SGFzb! h  
% The Second Step：Caculate induced variable 2y&m8_s-p  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); KnC;j-j  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); cv b:FK  
for i=1:(num_Core) R`F54?th  
a_Core(i)=(angles_Core(i)*pi/180); f(h nomn  
k1(i)=cot(a_Core(i)); 9;^r  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); Qv%"iSe~J  
end 7X$[E*kd  
k1(num_Core)=999;k2(num_Core)=0; mOb*VH  
for i=1:num_TIR DJ)z~W2I*  
a_TIR(i)=(angles_TIR(i)*pi/180); W(oJ{R&m{  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); `!.)"BI/s  
k4(i)=tan(asin(cos(a_TIR(i))/n)); GN4'LU  
end zw`T^N#  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); X4:\Shb97  
swBgV,;  
% The Third Step:Solve functions :D>afC8,  
for i=1:num_Core                    %Solve the curve of Core
.X;zEyd  
syms x; ]{r*Z6bs  
f1=k1(i)*x; H+`s#'(i_P  
f2=k2(i)*(x-X0_Core)+Y0_Core; E*ug.nxy  
f=f1-f2; P,x'1`k~  
x=double(solve(f));y=k1(i)*x; 2FxrMCC  
X0_Core=x;Y0_Core=y; <6]TazW?S  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; hpD\,  
end ?mJNzHrq;  
for i=1:num_TIR                      %Solve the curve of TIR mTcopyp  
syms x; Q2c|sK8  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; FC:Z9{2!  
f2=k4(i)*(x-r)+r*cot(a_TIR(i));  :1q)l  
f=f1-f2; )T1U!n?^x  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; v2e*mNK5  
X0_TIR=x;Y0_TIR=y; {8)Pke  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; o~#cpU4{o  
end _;G. QwHr  
B\U9F5  
% The furth Step:Fitting the curve E880X<V)>  
P_Core=polyfit(Px_Core,Py_Core,4); hjVct r  
P_TIR=polyfit(Px_TIR,Py_TIR,4); 8E:8iNbF  
]Q Y:t:-  
% The fifth Step:Feedback chief dimensions of the lens and Create it jN\} l|;q  
%Feedback dimensions of the whole lens lWr{v\L'  
result='透镜尺寸如下：' [Bn C_^[W  
Diameter_of_lens=2*Px_TIR(num_TIR) 2lVJ"jg  
Thickness_of_lens=Py_TIR(num_TIR)+d 6>rgoT)6~  
Diameter_of_Core=2*r WoVPp*zlX  
Thickness_of_front_pannel=d Yj/aa0Ka4  
Bottom_thickness=R-r OOzk@j^  
Lowest_Core=P_Core(5) '->%b  
Z)?i&y?  
%Feedback dimensions of Lens part TIR  L|hdV\  
result='TIR系数如下：' hk =nXv2M  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d dzIcX*"  
Aperture=Px_TIR(num_TIR) Y}<w)b1e|  
Obstruction=r zn| S3c  
Position=P_TIR(5) s}8(__|  
format short e;  `mar-r_m  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] 4~mYj@lvd  
format short; >WfkWUb  
{MP8B'r-6  
%DDE Connection
;B4x>  
TP_COMMAND = ddeinit('TracePro','Scheme'); (twwDI  
%Create TIR td*1  
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)))']; J!O{.
v  
ddeexec(TP_COMMAND,cmd); )Gf"#TM[  
cmd =['(entity:move TIR 0 0 -2.3712)']; 97 Oi}   
ddeexec(TP_COMMAND,cmd); bC_qoI<   
cmd =['(property:apply-name TIR "TIR")']; ~#z8Q{!O  
ddeexec(TP_COMMAND,cmd); =Q\z*.5j.  
dQX<X}  
%Feedback dimensions of Lens part TIR ZY_aE  
result='Core系数如下：' c/:d$o-  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d ,8~qnLy9  
Aperture=r *C/bf)w  
Obstruction='None' 0GEM3~~D.?  
Position=P_Core(5) EW$.,%b1  
format short e; p:*)rE  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] Z~&$s  
format short; 5)tDgm  
%Create Core xF:}a:c@H  
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)))']; e70#"~gt[  
ddeexec(TP_COMMAND,cmd); Mnj\t3:  
cmd =['(entity:move Core 0 0 5.9493)']; PxuE(n V[  
ddeexec(TP_COMMAND,cmd); h(M_ K  
cmd =['(property:apply-name Core "Core")']; \<cs:C\h7  
ddeexec(TP_COMMAND,cmd); 1~J:hjKQ  
O!uZykdX4!  
%Create Lens $KSdNFtM)A  
cmd =['(define Unite (bool:unite TIR Core))']; Sz!mn  
ddeexec(TP_COMMAND,cmd); Y^Of  
cmd =['(define block (insert:block 100 100 100))']; UE:';(t  
ddeexec(TP_COMMAND,cmd); r#8t@W  
cmd =['(entity:move block 0 0 -50)'];
d@sAB1:  
ddeexec(TP_COMMAND,cmd); Uq}FrK}  
cmd =['(define Lens (bool:subtract Unite block))']; pr\wI?:k  
ddeexec(TP_COMMAND,cmd); EC`!&Yp+  
cmd =['(property:apply-name Lens "Lens")']; Z2Q'9C},m  
ddeexec(TP_COMMAND,cmd); h/'b(9fS  
b-)m'B}`  
%Close the DDE connection ElFiR;  
ddeterm(TP_COMMAND); , %8keGhl  

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