%无中间像，焦距输入为负数 U~"Y8g#qgy
function sjr=nfdre(~) kQ lwl9
[Y@>,B!V
%系统焦距及各镜间距输入，间距取负正负 rMZuiRz*
1(:!6P Y
f=input('f:'); wD{c$TJ?{F
d1=input('d1:'); eM FxdtH
d2=input('d2:'); 3/ }
d3=input('d3:'); ^eO/?D8~h
)
< U9
A=f^2/(d3*d2)-f/d1; LGZa
l&9AY
B=f/d1-f/d2+f/d1+f/d3-d3*f/(d3*d2); R)\^*tkz7
C=d3/d2-f/d1; #)]t4wa_W
C&*1H`n
a1=(-B+sqrt(B^2-4*A*C))/(2*A);%α1 ez*QP|F*9
a2=d3/(a1*f);%α2 2=0HQXXrq
b2=a1*(1-a2)*f/d2;%β2 2u!&Te(!9
b1=(1-a1)*f/(d1*b2);%β1 fxr#T'i
Myiv#rQ)
A%$~
%曲率半径 S
>CKm:7
w(
XZSE
R1=2*f/(b1*b2) +0UBP7kn
R2=2*a1*f/(b2*(1+b1)) G\;6n
R3=2*a1*a2*f/(1+b2) x(eX.>o\
c-Yd> 4+ 1
A1=b2^3*(a1-1)*(1+b1)^3; Rq[d\BN0.d
B1=-(a2*(a1-1)+b1*(1-a2))*(1+b2)^3; ~eoM
2XlW
C1=(a1-1)*b2^3*(1+b1)*(1-b1)^2-(a2*(a1-1)+b1*(1-a2))*(1+b2)*(1-b2)^2-2*b1*b2; h ! R=t
7X/t2Vih@
A2=b2*(a1-1)^2*(1+b1)^3/(4*a1*b1^2); p e+h8
B2=-(a2*(a1-1)+b1*(1-a2))^2*(1+b2)^3/(4*a1*a2*b1^2*b2^2); fbOqxF"?we
C2=b2*(a1-1)^2*(1+b1)*(1-b1)^2/(4*a1*b1^2)-(a2*(a1-1)+b1*(1-a2))^2*(1+b2)*(1-b2)^2/(4*a1*a2*b1^2*b2^2)-b2*(a1-1)*(1-b1)*(1+b1)/(a1*b1)-(a2*(a1-1)+b1*(1-a2))*(1-b2)*(1+b2)/(a1*a2*b1*b2)-b1*b2+b2*(1+b1)/a1-(1+b2)/(a1*a2); lG94^|U
emnT;kJ>
CB=[C1 B1;C2 B2]; Km%L 1C d]
AB=[A1 B1;A2 B2]; X~J P
1
AC=[A1 C1;A2 C2]; 7>F{.\ Z
q^EY?;Y
%非球面系数 !%('8-x %
k2=-(det(CB)/det(AB)); 6:Z8d%Z
k3=-(det(AC)/det(AB)); A!x &,<
k1=(k2*a1*b2^3*(1+b1)^3-k3*a1*a2*(1+b2)^3+a1*b2^3*(1+b1)*(1-b1)^2-a1*a2*(1+b2)*(1-b2)^2)/(b1^3*b2^3)-1 W [K.|8ho
k2=k2 wT::b V{
k3=k3 )(-;H|]?
u YT$$'S
end bG@ 2f"
T:Klr=&V
%有中间像，焦距输入为正数 /YF:WKr2
e}d(.H%l0
function sjr=yfdre(~) X
V;j6g
Kmx^\vDs
f=input('f:'); '= fk;AiQ
d1=input('d1:'); Op ?"G
d2=input('d2:'); B<m0YD?>~>
d3=input('d3:'); BrwC 9:
x}?<9(nE c
A=f^2/(d3*d2)-f/d1; 3+>n!8x ;A
B=f/d1-f/d2+f/d1+f/d3-d3*f/(d3*d2); ;t\h"K<,|
C=d3/d2-f/d1; p,$N-22a
&.*UVc2+Y
a1=(-B-sqrt(B^2-4*A*C))/(2*A); tMiIlf!>p
a2=d3/(a1*f); K=v:qY4Z
b2=a1*(1-a2)*f/d2; !!^z6jpvn
b1=(1-a1)*f/(d1*b2); =ZIT!B?4
AT~,
%曲率半径 d)Yl D]I
j"69uj` R
R1=2*f/(b1*b2) \BXzm ok
R2=2*a1*f/(b2*(1+b1)) CG=c@-"n/
R3=2*a1*a2*f/(1+b2) ls]N&!/hq
3$k #bC
A1=b2^3*(a1-1)*(1+b1)^3; +)j ll#}?
B1=-(a2*(a1-1)+b1*(1-a2))*(1+b2)^3; cZ?Q I6|[
C1=(a1-1)*b2^3*(1+b1)*(1-b1)^2-(a2*(a1-1)+b1*(1-a2))*(1+b2)*(1-b2)^2-2*b1*b2; 3Hom0g,V4
'|^:,@8P9
A2=b2*(a1-1)^2*(1+b1)^3/(4*a1*b1^2); 1I9v`eT4
B2=-(a2*(a1-1)+b1*(1-a2))^2*(1+b2)^3/(4*a1*a2*b1^2*b2^2); ]zSFX
=~(S
C2=b2*(a1-1)^2*(1+b1)*(1-b1)^2/(4*a1*b1^2)-(a2*(a1-1)+b1*(1-a2))^2*(1+b2)*(1-b2)^2/(4*a1*a2*b1^2*b2^2)-b2*(a1-1)*(1-b1)*(1+b1)/(a1*b1)-(a2*(a1-1)+b1*(1-a2))*(1-b2)*(1+b2)/(a1*a2*b1*b2)-b1*b2+b2*(1+b1)/a1-(1+b2)/(a1*a2); X TJD>
e}e8WR=B
CB=[C1 B1;C2 B2]; 8I#ir4z#<
AB=[A1 B1;A2 B2]; n_e 'n|T
AC=[A1 C1;A2 C2]; UUJQc ~=
L9 D`hefz
%二次系数 k k3^m1
sV
k2=-(det(CB)/det(AB)); MCT1ZZpPr
k3=-(det(AC)/det(AB)); RU:Rt'
k1=(k2*a1*b2^3*(1+b1)^3-k3*a1*a2*(1+b2)^3+a1*b2^3*(1+b1)*(1-b1)^2-a1*a2*(1+b2)*(1-b2)^2)/(b1^3*b2^3)-1 F`nQS &y
k2=k2 Iv6 q(c
k3=k3 `um ,S
// o.+?S
end
