[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： 1omvE9 %zM  
% By Ruibin 08-9-25 h)8+4?-4I  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. lzG;F]  
HY;?z
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clear all;clc bU]N^og^  
_a$DY,;  
% The Frist Step: Define independent parameters L59oh  
r=3.25;               %选择开孔半径  IB{ZE/  
R=4.25;               %定义曲面底部半径 v8bl-9DQ  
d=1;                  %设置透镜前方平板高度 %D(prA_w  
n=1.4935;             %定义材料折射率 JjLyV`DJ  
dividing_angle=24;    %定义Core与TIR的分界角 Lzx$"R-  
min_angle=1;          %设置计算精度 5jV97x)BGx  
N=4;                  %设定拟合非球面系数阶数 4V|z)=)A  
h#>L:Wf5E  
% The Second Step：Caculate induced variable 5`'=Ko,N  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); _SC  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); IXvz&4VD  
for i=1:(num_Core) A;-z#R#V5  
a_Core(i)=(angles_Core(i)*pi/180); /lB0>Us  
k1(i)=cot(a_Core(i)); Xm:=jQn  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); eH%L?"J~:  
end lzs(i2pA  
k1(num_Core)=999;k2(num_Core)=0; }u_EXP8M  
for i=1:num_TIR 0j!ke1C&C  
a_TIR(i)=(angles_TIR(i)*pi/180); U
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k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); P^3m:bE
]  
k4(i)=tan(asin(cos(a_TIR(i))/n)); 
!Vr45l  
end hLbT
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X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); 0IgnpeA]  
xSDE6]  
% The Third Step:Solve functions {IPn\Bka  
for i=1:num_Core                    %Solve the curve of Core Kwl qi]~  
syms x; G:c8`*5Q  
f1=k1(i)*x; &O6;nJEI  
f2=k2(i)*(x-X0_Core)+Y0_Core; r` `iC5Ii  
f=f1-f2; zz 'dg-F  
x=double(solve(f));y=k1(i)*x; '+!S|U,{  
X0_Core=x;Y0_Core=y; 
q"+ q  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; HM@}!6/s  
end 1%hM8:)i_  
for i=1:num_TIR                      %Solve the curve of TIR #i+P(xV  
syms x; A_jB|<bjTP  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; < [S1_2b.t  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); N=Uc=I7C  
f=f1-f2; &@W4^-9  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; E]H   
X0_TIR=x;Y0_TIR=y; 
l0caP(  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; #OD@q;  
end !q-:rW?c  
? gA=39[j  
% The furth Step:Fitting the curve WE5"A| =  
P_Core=polyfit(Px_Core,Py_Core,4); 3j+=3n,  
P_TIR=polyfit(Px_TIR,Py_TIR,4); <RoX|zJ
w  
O,=Q1*c,&  
% The fifth Step:Feedback chief dimensions of the lens and Create it v$)@AE  
%Feedback dimensions of the whole lens UN*dU  
result='透镜尺寸如下：' @0vC v
 
Diameter_of_lens=2*Px_TIR(num_TIR) *>GIk`!wM  
Thickness_of_lens=Py_TIR(num_TIR)+d ;WvYzd9  
Diameter_of_Core=2*r wWJQ~i?  
Thickness_of_front_pannel=d J
calf{W6  
Bottom_thickness=R-r Nxbd~^j  
Lowest_Core=P_Core(5) ^<>Jw%H  
e7XsyL'
|p  
%Feedback dimensions of Lens part TIR A]Q1&qM%  
result='TIR系数如下：' O^X[9vrW  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d V#gF*]q  
Aperture=Px_TIR(num_TIR) "[Qb'9/Jc  
Obstruction=r vbRrk($`  
Position=P_TIR(5) 23}BW_m  
format short e; 28T\@zi  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] YQ8j  
format short; j8[`~pb  
:]B% >*;}  
%DDE Connection y:g7'+c  
TP_COMMAND = ddeinit('TracePro','Scheme'); r/CEYEJ&X  
%Create TIR H _Zo@y~J  
cmd =['(define TIR (insert:lens-element "PLASTIC" "pmma" (list 0 0 7.0306e-002 1.2580e-001 -2.5732e-003 -2.5281e-006) 18.6774 (list 0 0)(list "cir" 13.6051 0 0 0)(list "cir" 3.25 0 0 0)))']; `ICcaRIN8I  
ddeexec(TP_COMMAND,cmd); kyW6S+#-  
cmd =['(entity:move TIR 0 0 -2.3712)']; HA^jk%53  
ddeexec(TP_COMMAND,cmd); -+3be(u  
cmd =['(property:apply-name TIR "TIR")']; Y )u_nn'[  
ddeexec(TP_COMMAND,cmd); e9~cBG|  
9RG\UbX)^|  
%Feedback dimensions of Lens part TIR /h?<MI\7V  
result='Core系数如下：' F5N>Uqr*oN  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d N?qIpv/a.  
Aperture=r T!u'V'Ei2  
Obstruction='None' 6}VUD -}B  
Position=P_Core(5) G 2%  
format short e; hAV2F#  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] Bii6Z@kS  
format short; KI Ek/]<H  
%Create Core u^`eKak"l  
cmd =['(define Core (insert:lens-element "PLASTIC" "pmma" (list 0 0 -2.6211e-002  1.9124e-001 -1.7949e-002  2.8016e-004) 10.3569 (list 0 0)(list "cir" 3.2500 0 0 0)))']; ;Y Dv.I  
ddeexec(TP_COMMAND,cmd); ^G}# jg.  
cmd =['(entity:move Core 0 0 5.9493)']; Bz~ -2#l  
ddeexec(TP_COMMAND,cmd); "Jb3&qdU  
cmd =['(property:apply-name Core "Core")']; )r ULT$;i@  
ddeexec(TP_COMMAND,cmd); ^4+r*YvcM  
y7CWBTH0>  
%Create Lens 8ou e-:/a  
cmd =['(define Unite (bool:unite TIR Core))']; CXBzX:T?#  
ddeexec(TP_COMMAND,cmd); Q2*/`L}m\  
cmd =['(define block (insert:block 100 100 100))']; KuA
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ddeexec(TP_COMMAND,cmd); S*4f%!  
cmd =['(entity:move block 0 0 -50)']; joe9.{  
ddeexec(TP_COMMAND,cmd); ows^W8-w  
cmd =['(define Lens (bool:subtract Unite block))']; {5SfE$r  
ddeexec(TP_COMMAND,cmd); P?uf?{  
cmd =['(property:apply-name Lens "Lens")']; >Cvjs  
ddeexec(TP_COMMAND,cmd); F#6cF=};@  
uii7b7[w  
%Close the DDE connection [1NaH  
ddeterm(TP_COMMAND); M /"gf;)q>  

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