%无中间像，焦距输入为负数 o7@C$R_#
function sjr=nfdre(~) %`YR+J/V
x, ZF+vE
%系统焦距及各镜间距输入，间距取负正负 P>(FCX
l>KkAA
f=input('f:'); $lq.*UQ;0
d1=input('d1:'); c3r` T{Kf
d2=input('d2:'); g/VV 2^,
d3=input('d3:'); 6&il>
f +8 QAvh
A=f^2/(d3*d2)-f/d1; dT[JVl+3=
B=f/d1-f/d2+f/d1+f/d3-d3*f/(d3*d2); Kxg@( Q
C=d3/d2-f/d1; gtePo[ZH.P
_ ,/~P)
a1=(-B+sqrt(B^2-4*A*C))/(2*A);%α1 [2h.5.af
a2=d3/(a1*f);%α2 _
j`tR :
b2=a1*(1-a2)*f/d2;%β2 ]Y!x7
b1=(1-a1)*f/(d1*b2);%β1 V1~@
V@ [C=K
T5z]=Pd"^
%曲率半径 5{Q9n{dOh
2t
PfIg
R1=2*f/(b1*b2) i s~2{:
R2=2*a1*f/(b2*(1+b1)) K6sXw[V C[
R3=2*a1*a2*f/(1+b2) e[s}tjx
~clX2U8u`
A1=b2^3*(a1-1)*(1+b1)^3; 6?;z\ AP&
B1=-(a2*(a1-1)+b1*(1-a2))*(1+b2)^3; cnI5 G!
C1=(a1-1)*b2^3*(1+b1)*(1-b1)^2-(a2*(a1-1)+b1*(1-a2))*(1+b2)*(1-b2)^2-2*b1*b2; _^NyLI%
3bYjW=_hA
A2=b2*(a1-1)^2*(1+b1)^3/(4*a1*b1^2); c+
e~BN
B2=-(a2*(a1-1)+b1*(1-a2))^2*(1+b2)^3/(4*a1*a2*b1^2*b2^2); gn&Zt}@[
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); @`dlhz
}>d
CB=[C1 B1;C2 B2]; + @ ~WKa
AB=[A1 B1;A2 B2]; I]E 3&gnC
AC=[A1 C1;A2 C2]; /;Hr{f jl{
b $J S|
%非球面系数 .ESvMK~x
k2=-(det(CB)/det(AB)); WTJ {M$
k3=-(det(AC)/det(AB)); gdA2u;q
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 g,rmGu3v
k2=k2 OF+4M q
k3=k3 ~ > Q9
h<TZJCt
end q\~
#g.}
W\NC3]
%有中间像，焦距输入为正数 23WrJM!2N
p @nj6N.--
function sjr=yfdre(~) !ltq@8#_|
T7^;!;i`X
f=input('f:'); %9a3 $OGZX
d1=input('d1:'); %^ L{K[}
d2=input('d2:'); )*>wa%[-q
d3=input('d3:'); ni nWnQq
`Y5LAt:
A=f^2/(d3*d2)-f/d1; W(R~K -
B=f/d1-f/d2+f/d1+f/d3-d3*f/(d3*d2); ]B?M3`'>
C=d3/d2-f/d1; .< F46?HS
}#7rg_O]>
a1=(-B-sqrt(B^2-4*A*C))/(2*A); (u} /( Ux
a2=d3/(a1*f); #$x,PeG
b2=a1*(1-a2)*f/d2; OtmDZ.t;`
b1=(1-a1)*f/(d1*b2); >Vjn]V5y
L_RVHvA=M/
%曲率半径 bo/9k 4N3
J\Pb/9M/
R1=2*f/(b1*b2) ws+ '* 7
R2=2*a1*f/(b2*(1+b1)) lz~^*\ F
R3=2*a1*a2*f/(1+b2) 4,z|hY_*t
gS5MoW1
A1=b2^3*(a1-1)*(1+b1)^3; )q-NE)
B1=-(a2*(a1-1)+b1*(1-a2))*(1+b2)^3; XPO-u]< W
C1=(a1-1)*b2^3*(1+b1)*(1-b1)^2-(a2*(a1-1)+b1*(1-a2))*(1+b2)*(1-b2)^2-2*b1*b2; q.`< q
~TEn +
A2=b2*(a1-1)^2*(1+b1)^3/(4*a1*b1^2); $R/@8qnP
W
B2=-(a2*(a1-1)+b1*(1-a2))^2*(1+b2)^3/(4*a1*a2*b1^2*b2^2); |HD>m'e
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); P:4"~ ]}
5@m
,*n&[
CB=[C1 B1;C2 B2]; LhbdvJAk@
AB=[A1 B1;A2 B2]; in<.0v9w
AC=[A1 C1;A2 C2]; J<QZ)<T,&
w ;`Jj -
%二次系数 1 >j,v+
mi7?t/D1Z
k2=-(det(CB)/det(AB)); t4_yp_
k3=-(det(AC)/det(AB)); 1vj@ qw3
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 -je} PwT
k2=k2 XNWtX-[ ^@
k3=k3 OW4j!W
$G9LaD#;M
end
