[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： %qEp{i
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% By Ruibin 08-9-25 zb s7G  
% Instruction：This program help design LED collimating lens , feedback aspheric parameters and several chief dimensions. PmQeO*f+  
(yoF  
clear all;clc GK1P7Qy?V  
k"E|E";B  
% The Frist Step: Define independent parameters ";^_[n
 
r=3.25;               %选择开孔半径 pcQgWjfS  
R=4.25;               %定义曲面底部半径 _#we1m  
d=1;                  %设置透镜前方平板高度 8:2Vib$  
n=1.4935;             %定义材料折射率 I8|"h8\  
dividing_angle=24;    %定义Core与TIR的分界角 X9?0`6Li  
min_angle=1;          %设置计算精度 Q_dMuoI  
N=4;                  %设定拟合非球面系数阶数 "LH3ZPD  
%3. np  
% The Second Step：Caculate induced variable VxE;t
J>1  
angles_Core=(dividing_angle:-min_angle:0);angles_TIR=(90:-min_angle:dividing_angle); GC_c
.|'6[  
num_Core=length(angles_Core);num_TIR=length(angles_TIR); wUL5"\  
for i=1:(num_Core) 7>F[7_  
a_Core(i)=(angles_Core(i)*pi/180); A)&CI6(  
k1(i)=cot(a_Core(i)); !_oR/)  
k2(i)=(-k1(i)+(n^2*k1(i)^2+n^2)^(1/2))/(n^2*k1(i)^2-k1(i)^2+n^2); |io)?`pj  
end 4UND;I&  
k1(num_Core)=999;k2(num_Core)=0; S+*>""=  
for i=1:num_TIR uMRzUK`QK  
a_TIR(i)=(angles_TIR(i)*pi/180); d^`;tD  
k3(i)=tan((pi/2+asin(cos(a_TIR(i))/n))/2); x$FcF8  
k4(i)=tan(asin(cos(a_TIR(i))/n)); 7~;)N$d\  
end wOLV?Vk  
X0_TIR=R;X0_Core=r;Y0_TIR=0;Y0_Core=r*cot(a_Core(1)); L-zU%`1{M  
]f}(iD  
% The Third Step:Solve functions A`"?~_pHC  
for i=1:num_Core                    %Solve the curve of Core f{uS  
syms x; M.bkFuh  
f1=k1(i)*x; h8-uI.RZ  
f2=k2(i)*(x-X0_Core)+Y0_Core; Ggy?5N7P  
f=f1-f2; 7r2p+LP[  
x=double(solve(f));y=k1(i)*x; ?y__ V
rw  
X0_Core=x;Y0_Core=y; h iK}&  
Px_Core(i)=X0_Core;Py_Core(i)=Y0_Core; /82E[P"}6R  
end B>sQcZ:  
for i=1:num_TIR                      %Solve the curve of TIR ^ > ?C  
syms x; s#8T46?  
f1=k3(i)*(x-X0_TIR)+Y0_TIR; cob??|,\m  
f2=k4(i)*(x-r)+r*cot(a_TIR(i)); JIqg[Mao  
f=f1-f2;
FYb]9MX  
x=double(solve(f));y=k3(i)*(x-X0_TIR)+Y0_TIR; L+eK)Q  
X0_TIR=x;Y0_TIR=y; 87m`K Str7  
Px_TIR(i)=X0_TIR;Py_TIR(i)=Y0_TIR;
mx#)iHY  
end -BWWaL  
T_#8i^;D  
% The furth Step:Fitting the curve B?Rkz  
P_Core=polyfit(Px_Core,Py_Core,4); B\qy:nr j  
P_TIR=polyfit(Px_TIR,Py_TIR,4); ",#Ug"|2  
^:,wk7  
% The fifth Step:Feedback chief dimensions of the lens and Create it W|(<z'S  
%Feedback dimensions of the whole lens &}K%F)S  
result='透镜尺寸如下：' 3,#v0#  
Diameter_of_lens=2*Px_TIR(num_TIR) 4vND ~9d  
Thickness_of_lens=Py_TIR(num_TIR)+d "KSdC8MS  
Diameter_of_Core=2*r lHHx D  
Thickness_of_front_pannel=d hZ.](rD  
Bottom_thickness=R-r }5}>B *  
Lowest_Core=P_Core(5) l.Z+.<@  
d/awQXKe7  
%Feedback dimensions of Lens part TIR Qstd;qE~  
result='TIR系数如下：' bH:C/P<x  
Thickness=Py_TIR(num_TIR)-P_TIR(5)+d 9
e}%2,  
Aperture=Px_TIR(num_TIR) 7|"$YV'DM  
Obstruction=r c%&*yR  
Position=P_TIR(5) 25r3[gX9`  
format short e; ePxAZg$ `>  
Aspheric=[P_TIR(4) P_TIR(3) P_TIR(2) P_TIR(1)] T)Q_dF.N  
format short; !89hO4 0r  
fzAkUv
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%DDE Connection TI0=nfj  
TP_COMMAND = ddeinit('TracePro','Scheme'); )J2UNIgN  
%Create TIR tV4wkS=R|  
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)))']; |KO[[4b ?+  
ddeexec(TP_COMMAND,cmd); *y$CDv
  
cmd =['(entity:move TIR 0 0 -2.3712)']; ^+gD;a|t  
ddeexec(TP_COMMAND,cmd); @\>7 wt_'  
cmd =['(property:apply-name TIR "TIR")']; Bgp%hK  
ddeexec(TP_COMMAND,cmd); Q]/{6:C  
Y"nz l]T  
%Feedback dimensions of Lens part TIR {Z Ld_VGW  
result='Core系数如下：' lhf5[Rp  
Thickness=Py_TIR(num_TIR)-P_Core(5)+d "$ISun=8  
Aperture=r =H}x  
Obstruction='None' ,f<J4U:Y  
Position=P_Core(5) {<#b@=G  
format short e; 8-cuaa  
Aspheric=[P_Core(4) P_Core(3) P_Core(2) P_Core(1)] uD[T l  
format short; <AP.m4N) _  
%Create Core A"R(?rQi=  
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)))']; ULs'oT)K;  
ddeexec(TP_COMMAND,cmd); fKtlfQG  
cmd =['(entity:move Core 0 0 5.9493)']; <'BsQHI  
ddeexec(TP_COMMAND,cmd); tCA0H\';  
cmd =['(property:apply-name Core "Core")']; !1UZ
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ddeexec(TP_COMMAND,cmd); ,4B8?0sH|  
$1Wb`$  
%Create Lens G|||.B8  
cmd =['(define Unite (bool:unite TIR Core))']; q]*jT
b  
ddeexec(TP_COMMAND,cmd); @2hOy@V  
cmd =['(define block (insert:block 100 100 100))']; @xBO[v  
ddeexec(TP_COMMAND,cmd); +oHbAPs8  
cmd =['(entity:move block 0 0 -50)']; H]f[r~  
ddeexec(TP_COMMAND,cmd); m'k>U4  
cmd =['(define Lens (bool:subtract Unite block))']; /s+S\ djk  
ddeexec(TP_COMMAND,cmd); bf2r8  
cmd =['(property:apply-name Lens "Lens")']; 3Wx\Liw,  
ddeexec(TP_COMMAND,cmd); T21?~jS  
1TF
S2R n  
%Close the DDE connection <
Z\{ijfvD  
ddeterm(TP_COMMAND); nE2?3S>  

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