[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： g}hUCx(  
% By Ruibin 08-9-25 Kk}, P
U=  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. \Hp!NbnF$  
n=-vOa%  
clear all;clc fc~fjtqwvz  
7;p/S#P:  
% The Frist Step: Define independent parameters Ze%S<xT!O  
r=3.25;               %选择开孔半径 FC+-|1?C  
R=4.25;               %定义曲面底部半径 IER;d\_V<  
d=1;                  %设置透镜前方平板高度 2@MpWj4  
n=1.4935;             %定义材料折射率 Tp-W/YC  
dividing_angle=24;    %定义Core与TIR的分界角 dlo`](5m  
min_angle=1;          %设置计算精度 _t-6m2A  
N=4;                  %设定拟合非球面系数阶数 <9&GOaJ  
p|gVIsg[-e  
% The Second Step：Caculate induced variable !!L'{beF  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); {qHQ_ _Bl  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); K-]) RIM  
for i=1:(num_Core) p8 S~`fjV  
a_Core(i)=(angles_Core(i)*pi/180); #fF5O2E'3  
k1(i)=cot(a_Core(i)); Mcc%&j
 
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); L<dh\5#p9Y  
end OD}Uc+;K  
k1(num_Core)=999;k2(num_Core)=0; t?&;   
for i=1:num_TIR P6%qNR/ x  
a_TIR(i)=(angles_TIR(i)*pi/180); #^RIp>NN9  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); <&[`
 +  
k4(i)=tan(asin(cos(a_TIR(i))/n)); ]A[}:E 5}  
end .~I:Hcf/  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); ;L:UYhDbUx  
cl`kd)"v  
% The Third Step:Solve functions )Jvo%Y  
for i=1:num_Core                    %Solve the curve of Core AM?ZhM  
syms x; #.u&2eyqQ  
f1=k1(i)*x; d0T 8Cwcb  
f2=k2(i)*(x-X0_Core)+Y0_Core; ?6*\M  
f=f1-f2; WS&a9!3;  
x=double(solve(f));y=k1(i)*x; -5e8m4*
 
X0_Core=x;Y0_Core=y; 0>m$e(Z  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; uLv  
end R[j'<gd.  
for i=1:num_TIR                      %Solve the curve of TIR [|$C2Dhw=  
syms x; !JdZ0l  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; V9ZM4.,OCN  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); lrPIXIM  
f=f1-f2; x%)oL:ue  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; -^_^ByJe  
X0_TIR=x;Y0_TIR=y; -c8h!.Q$  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR; Jm=3%H  
end TyO
]|Q5  
D Q4O  
% The furth Step:Fitting the curve p}~Sgi  
P_Core=polyfit(Px_Core,Py_Core,4); pbh>RS=ri  
P_TIR=polyfit(Px_TIR,Py_TIR,4); b!-=L&V  
9[~.{{Y  
% The fifth Step:Feedback chief dimensions of the lens and Create it @}^VA9ULK  
%Feedback dimensions of the whole lens vx$DKQK@l\  
result='透镜尺寸如下：' L  
Diameter_of_lens=2*Px_TIR(num_TIR) `E;xI v|  
Thickness_of_lens=Py_TIR(num_TIR)+d b$Ei>%'/";  
Diameter_of_Core=2*r q+qF;7dN@  
Thickness_of_front_pannel=d h+_:zWU  
Bottom_thickness=R-r >t9
DI  
Lowest_Core=P_Core(5) ?Z!R  
Le-t<6i-V#  
%Feedback dimensions of Lens part TIR KWYjN h#*  
result='TIR系数如下：' 1.,KN:qe  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d L09r|g4Z  
Aperture=Px_TIR(num_TIR) modem6#x'  
Obstruction=r |d\1xTBLp  
Position=P_TIR(5) Nj?Q{ztS  
format short e; >C{8}Lg-.  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] YajAz5N  
format short; 6%9 kc+ 9  
_`*G71PS  
%DDE Connection K{Nj-Rqd  
TP_COMMAND = ddeinit('TracePro','Scheme'); s,mt%^
x[  
%Create TIR 1uyd+*/(xP  
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)))']; N3Q .4? z9  
ddeexec(TP_COMMAND,cmd); r^E(GmW  
cmd =['(entity:move TIR 0 0 -2.3712)']; DgRn^gL{Q  
ddeexec(TP_COMMAND,cmd); ~md06"AYJ  
cmd =['(property:apply-name TIR "TIR")']; f6(1jx"  
ddeexec(TP_COMMAND,cmd); <}xgp[O  
:v45Ls4J  
%Feedback dimensions of Lens part TIR ;xFB /,  
result='Core系数如下：' \,m*CYs`  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d L*rCUv`  
Aperture=r );S8`V  
Obstruction='None' ',D%,N}J  
Position=P_Core(5) I~HA ad,k  
format short e; K4RQ{fWpm  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] 19[.&-u"  
format short; all2?neK  
%Create Core 8B "^}y\0  
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)))']; k:mW ,s|a  
ddeexec(TP_COMMAND,cmd); (B*,|D[J@i  
cmd =['(entity:move Core 0 0 5.9493)']; 5)rN#_BKj  
ddeexec(TP_COMMAND,cmd); /,<s9 :  
cmd =['(property:apply-name Core "Core")']; Oku7&L1  
ddeexec(TP_COMMAND,cmd); I!lR 7%  
"fN 6
_
*  
%Create Lens sw:a(o&$  
cmd =['(define Unite (bool:unite TIR Core))']; M
4 }))  
ddeexec(TP_COMMAND,cmd); RA){\~@wC  
cmd =['(define block (insert:block 100 100 100))']; W8-vF++R  
ddeexec(TP_COMMAND,cmd); dtG>iJ  
cmd =['(entity:move block 0 0 -50)']; xMpgXB!'  
ddeexec(TP_COMMAND,cmd); WXf[W  
cmd =['(define Lens (bool:subtract Unite block))']; WFmW[< g  
ddeexec(TP_COMMAND,cmd); 6@:<62!;  
cmd =['(property:apply-name Lens "Lens")']; zTq"kxn'  
ddeexec(TP_COMMAND,cmd); ,CBE&g  
}dU!PZ9N)  
%Close the DDE connection 7pyaHe  
ddeterm(TP_COMMAND); y\:Ma7V  

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