[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： }V'}E\\  
% By Ruibin 08-9-25 99]R$eT8  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. H!@kO]?n  
d.[8c=$  
clear all;clc Mhm@R@  
;RH;OE,A  
% The Frist Step: Define independent parameters 9-sw!tKx  
r=3.25;               %选择开孔半径 Av$]|b  
R=4.25;               %定义曲面底部半径 XP`Nf)3{Yd  
d=1;                  %设置透镜前方平板高度 fPU`/6  
n=1.4935;             %定义材料折射率 af6M,{F  
dividing_angle=24;    %定义Core与TIR的分界角 #9=Vg  
min_angle=1;          %设置计算精度 j SHk{T!J  
N=4;                  %设定拟合非球面系数阶数 <c*FCblv  
 nI[os  
% The Second Step：Caculate induced variable ?(xnSW@r  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); *tGY6=7O  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); +[
Dx?XM  
for i=1:(num_Core) 0q^>ZF-@  
a_Core(i)=(angles_Core(i)*pi/180); -TLlwxc^%  
k1(i)=cot(a_Core(i)); bs+f,j-oBN  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); XUrXnz|>  
end WEAT01  
k1(num_Core)=999;k2(num_Core)=0; D,FHZDt  
for i=1:num_TIR *$#W]bO  
a_TIR(i)=(angles_TIR(i)*pi/180); sZ'nYo  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); {0r0\D>bw  
k4(i)=tan(asin(cos(a_TIR(i))/n)); nz%DM<0$  
end Pi=+/}  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); "RedK '7g  
K:J3Z5"  
% The Third Step:Solve functions -<6\1J  
for i=1:num_Core                    %Solve the curve of Core O8^A5,2@3>  
syms x; 4d"r^y'  
f1=k1(i)*x; /pm]BC  
f2=k2(i)*(x-X0_Core)+Y0_Core; rDl*d`He!  
f=f1-f2; _ "E$v&_  
x=double(solve(f));y=k1(i)*x; W,D4.w$@'  
X0_Core=x;Y0_Core=y; qjc8fP2  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; O3;u G.:1  
end U1Q:= yD  
for i=1:num_TIR                      %Solve the curve of TIR GXcJ< v  
syms x; XFg9P}"  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; Ltv]pH}YN  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); Y=%tn8<  
f=f1-f2; ih)zG  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; w}L]X1#sF  
X0_TIR=x;Y0_TIR=y; >u>5{4  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; 1}S S+>`  
end C,wL0Yj[  
o\BOL3H  
% The furth Step:Fitting the curve 90Pl$#cb2  
P_Core=polyfit(Px_Core,Py_Core,4); Uq[>_"}  
P_TIR=polyfit(Px_TIR,Py_TIR,4); ^/uA?h:]\  

czA5n  
% The fifth Step:Feedback chief dimensions of the lens and Create it :8I9\eet3  
%Feedback dimensions of the whole lens Q}`0W[a ~  
result='透镜尺寸如下：' LU \i0|i|  
Diameter_of_lens=2*Px_TIR(num_TIR) d^@dzNv  
Thickness_of_lens=Py_TIR(num_TIR)+d i6R~`0>Q  
Diameter_of_Core=2*r F7A=GF'  
Thickness_of_front_pannel=d 
^pxX]G]  
Bottom_thickness=R-r z-BXd  
Lowest_Core=P_Core(5) }\hVy(\c  
*RDn0d[  
%Feedback dimensions of Lens part TIR 6uv#de  
result='TIR系数如下：' ng[Ar`  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d [O$Wa:< 0x  
Aperture=Px_TIR(num_TIR) YA''2Ii  
Obstruction=r 5:\},n+VE  
Position=P_TIR(5) l#m#c6;=  
format short e; z[LNf.)}  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] >/g#lS 5  
format short; `V=N*hv`  
0[
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%DDE Connection [\'%?BH(^  
TP_COMMAND = ddeinit('TracePro','Scheme'); I+BHstF5um  
%Create TIR ) dn(G@5  
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; O80<Z#%j`  
ddeexec(TP_COMMAND,cmd); ^b/ Z)3  
cmd =['(entity:move TIR 0 0 -2.3712)']; g~ZvA(`  
ddeexec(TP_COMMAND,cmd); >x/z7v?^I  
cmd =['(property:apply-name TIR "TIR")']; o#;b  
ddeexec(TP_COMMAND,cmd); |^0XYBxQ  
5k!g%sZ  
%Feedback dimensions of Lens part TIR xRJ\E }/7  
result='Core系数如下：' D~biKrg?=  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d jDKO
} bQ  
Aperture=r yGI;ye'U  
Obstruction='None' 1Y/s%L  
Position=P_Core(5) ;QWIsVz  
format short e;  ;ZH3{  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] }]e-{C}  
format short; %9w::hav  
%Create Core e63uLWDT  
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; }
e!x5g   
ddeexec(TP_COMMAND,cmd); c$ao:nP)D  
cmd =['(entity:move Core 0 0 5.9493)']; )n+Lo&C<  
ddeexec(TP_COMMAND,cmd); 8hXl%{6d3  
cmd =['(property:apply-name Core "Core")']; M
2d$4-<  
ddeexec(TP_COMMAND,cmd); :S.9eFfa  
'r4/e-`pK  
%Create Lens 3)8QS  
cmd =['(define Unite (bool:unite TIR Core))']; vBRQp&Yw
X  
ddeexec(TP_COMMAND,cmd); 3XL#0\im?s  
cmd =['(define block (insert:block 100 100 100))']; x8wD0D  
ddeexec(TP_COMMAND,cmd); OPwtV9%  
cmd =['(entity:move block 0 0 -50)']; ~KHVY)@P  
ddeexec(TP_COMMAND,cmd); R(('/JC  
cmd =['(define Lens (bool:subtract Unite block))']; Uhe=h&e2k@  
ddeexec(TP_COMMAND,cmd); ahuGq'  
cmd =['(property:apply-name Lens "Lens")']; SFO({w(  
ddeexec(TP_COMMAND,cmd); --PtZ]Z  
&]8P1{  
%Close the DDE connection LwrUQ)  
ddeterm(TP_COMMAND); 0":ib0=  

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