[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：  y|U3  
% By Ruibin 08-9-25 B
Rbx.  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. K O"U5v  
"5u*C#T2$  
clear all;clc .w\AyXp  
'9%72yG  
% The Frist Step: Define independent parameters " m<]B  
r=3.25;               %选择开孔半径 %Kx:'m%U  
R=4.25;               %定义曲面底部半径 z=B*s!G  
d=1;                  %设置透镜前方平板高度 J`a$"G B.  
n=1.4935;             %定义材料折射率 ciVN-;vi  
dividing_angle=24;    %定义Core与TIR的分界角 72R|zR  
min_angle=1;          %设置计算精度 yB\}e'J^  
N=4;                  %设定拟合非球面系数阶数 !`L%wS  
,\q9>cZ!  
% The Second Step：Caculate induced variable Esvr~)Y  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); "hi?/B#d  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); Ql^I$5&  
for i=1:(num_Core) @9g$+_"ZT  
a_Core(i)=(angles_Core(i)*pi/180); J3gJSRT@P  
k1(i)=cot(a_Core(i)); z[X>>P3<n  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); 4;'o`K~*  
end Nw[TP G5  
k1(num_Core)=999;k2(num_Core)=0; E}Q'Wz|k  
for i=1:num_TIR %!I7tR#;  
a_TIR(i)=(angles_TIR(i)*pi/180); YKKZRlQo  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); 0(A`Ia  
k4(i)=tan(asin(cos(a_TIR(i))/n)); 5xe}ljo  
end @igr~hJ  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); <dl:';@a-  
S[(Tpk2_  
% The Third Step:Solve functions U;u
@\E@2  
for i=1:num_Core                    %Solve the curve of Core |l)SX\Qf`@  
syms x; LgXc}3  
f1=k1(i)*x; -qaJ@T+J+7  
f2=k2(i)*(x-X0_Core)+Y0_Core; +U{8Mj  
f=f1-f2;  |`[0U  
x=double(solve(f));y=k1(i)*x; #'[4k:  
X0_Core=x;Y0_Core=y; n4,b?-E>(  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; ")m0{  
end / r6^]grg  
for i=1:num_TIR                      %Solve the curve of TIR Y!s94#OaZ  
syms x; `~0)}K.F  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; -l)vl<}  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); N\{Xhr7d  
f=f1-f2; -L&r2RF/  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; lWr=79  
X0_TIR=x;Y0_TIR=y; ;:2]++G  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; v&Xsyb0CaM  
end y,'M3GGl  
+*&bgGhT  
% The furth Step:Fitting the curve L!G]i;=:  
P_Core=polyfit(Px_Core,Py_Core,4); n4A_vz  
P_TIR=polyfit(Px_TIR,Py_TIR,4); "IQ' (^-P  
UW%zR5q  
% The fifth Step:Feedback chief dimensions of the lens and Create it 8h"Val|qP  
%Feedback dimensions of the whole lens ZLm?8g6-  
result='透镜尺寸如下：' N?7MYP
 
Diameter_of_lens=2*Px_TIR(num_TIR) ;PM(q<@\  
Thickness_of_lens=Py_TIR(num_TIR)+d !YX$4_I  
Diameter_of_Core=2*r mY6d+  
Thickness_of_front_pannel=d ,5}%_  
Bottom_thickness=R-r A$d)xq-]K  
Lowest_Core=P_Core(5) ZYRZ$87jZ  
ZcJa:  
%Feedback dimensions of Lens part TIR ;;>hWAS  
result='TIR系数如下：' ^#-d^ )f;  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d y2Eq-Ie  
Aperture=Px_TIR(num_TIR) Xa o*h(Q@L  
Obstruction=r b,C2(?hg  
Position=P_TIR(5) V+`gkWe/  
format short e; lGoP(ki  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] u NmbR8Mx  
format short; 3s%K
w,z  
` mvPbZ0<  
%DDE Connection rdj_3Utv  
TP_COMMAND = ddeinit('TracePro','Scheme'); WXq=FZ-  
%Create TIR 7Yv1et |  
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; YkWv*l  
ddeexec(TP_COMMAND,cmd); T0HNld  
cmd =['(entity:move TIR 0 0 -2.3712)']; Oly"ll*K  
ddeexec(TP_COMMAND,cmd); @6["A'h  
cmd =['(property:apply-name TIR "TIR")']; >qE f991SZ  
ddeexec(TP_COMMAND,cmd); .,({&L  
H){}28dX  
%Feedback dimensions of Lens part TIR RBOb/.$  
result='Core系数如下：' M~/Pk7CC  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d 1`6kc9f.  
Aperture=r |:7 ^  
Obstruction='None' -d-vzri  
Position=P_Core(5) M[eq)a$  
format short e; FS'|e?WU  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] TEJn;D<1I,  
format short; ;*{"|l qe  
%Create Core nm#ISueh  
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)))']; \_vjc]?  
ddeexec(TP_COMMAND,cmd); y<9' 3\  
cmd =['(entity:move Core 0 0 5.9493)']; 7{z\^R^O  
ddeexec(TP_COMMAND,cmd); =Ff _)k  
cmd =['(property:apply-name Core "Core")']; 4*0C_F@RX  
ddeexec(TP_COMMAND,cmd); r~[Bzw"c  
lIhP\:;S&  
%Create Lens WHF[l1  
cmd =['(define Unite (bool:unite TIR Core))']; we("#s1=  
ddeexec(TP_COMMAND,cmd); X&LaAqlSG  
cmd =['(define block (insert:block 100 100 100))']; 1j_gQ,'20  
ddeexec(TP_COMMAND,cmd); SAVA6 64  
cmd =['(entity:move block 0 0 -50)']; oMNt676  
ddeexec(TP_COMMAND,cmd); s!IX3rz  
cmd =['(define Lens (bool:subtract Unite block))']; kJ'rtz4QO  
ddeexec(TP_COMMAND,cmd); #Vy8<Vy&w  
cmd =['(property:apply-name Lens "Lens")']; 4 EE7gkM5  
ddeexec(TP_COMMAND,cmd); ~:krJ[=  
u+7S/9q8  
%Close the DDE connection y:
HH@aa)  
ddeterm(TP_COMMAND); #"qP4S2  

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