%无中间像，焦距输入为负数 M\!z='Fi
function sjr=nfdre(~) =}xH6^It
Ty5}5)CRZ
%系统焦距及各镜间距输入，间距取负正负 mNDd>4%H_
z <jH{ AU
f=input('f:'); J;#7dRW{
d1=input('d1:'); H]<@\g*l@P
d2=input('d2:'); sqE? U*8.-
d3=input('d3:'); g?1 ! /+
^)i1b:4
A=f^2/(d3*d2)-f/d1; [6}>?
B=f/d1-f/d2+f/d1+f/d3-d3*f/(d3*d2); 277Am*2
C=d3/d2-f/d1; 1c19$KHu
CGCI3Z'
a1=(-B+sqrt(B^2-4*A*C))/(2*A);%α1 %1UdG6&J_
a2=d3/(a1*f);%α2 +hL%8CVU M
b2=a1*(1-a2)*f/d2;%β2 P7|x=Ew;`
b1=(1-a1)*f/(d1*b2);%β1 V")u
y&Ob
V
3yt{3Or
S
@t pd'
%曲率半径 wxW\L!@
}\oy%]_mY
R1=2*f/(b1*b2) xL#UMvZ>;h
R2=2*a1*f/(b2*(1+b1)) /xh/M@G3
R3=2*a1*a2*f/(1+b2) Re]7G.y
qf?X:9Wt
A1=b2^3*(a1-1)*(1+b1)^3; 3?Tk[m1b
B1=-(a2*(a1-1)+b1*(1-a2))*(1+b2)^3; fb;y*-?#
C1=(a1-1)*b2^3*(1+b1)*(1-b1)^2-(a2*(a1-1)+b1*(1-a2))*(1+b2)*(1-b2)^2-2*b1*b2;
6Sr}I, DG
cms9 ]
A2=b2*(a1-1)^2*(1+b1)^3/(4*a1*b1^2); 7
yp}
B2=-(a2*(a1-1)+b1*(1-a2))^2*(1+b2)^3/(4*a1*a2*b1^2*b2^2); eU ZvJTE
C2=b2*(a1-1)^2*(1+b1)*(1-b1)^2/(4*a1*b1^2)-(a2*(a1-1)+b1*(1-a2))^2*(1+b2)*(1-b2)^2/(4*a1*a2*b1^2*b2^2)-b2*(a1-1)*(1-b1)*(1+b1)/(a1*b1)-(a2*(a1-1)+b1*(1-a2))*(1-b2)*(1+b2)/(a1*a2*b1*b2)-b1*b2+b2*(1+b1)/a1-(1+b2)/(a1*a2); L>>Cx`ASi
wu`P=-
CB=[C1 B1;C2 B2]; oJln"-M1nx
AB=[A1 B1;A2 B2]; -j"]1JLQ
AC=[A1 C1;A2 C2]; G Z~W#*|V
d7i 0'R
%非球面系数 Qk#`e
k2=-(det(CB)/det(AB)); "+k^8ki
k3=-(det(AC)/det(AB)); m)oGeD( !
k1=(k2*a1*b2^3*(1+b1)^3-k3*a1*a2*(1+b2)^3+a1*b2^3*(1+b1)*(1-b1)^2-a1*a2*(1+b2)*(1-b2)^2)/(b1^3*b2^3)-1 kY.3x# w
k2=k2 c_dg/ !Iu
k3=k3 Lju)q6
%[ J|n~8_Z
end k*"FMJG_
fXfO9{E
%有中间像，焦距输入为正数 ")i>-1_H
i-E/#zni
function sjr=yfdre(~) rFl6xM;F
`zj byY
f=input('f:'); 'A)r)z {X
d1=input('d1:'); DB>.Uf"
d2=input('d2:'); /+g)J0u
d3=input('d3:'); KXvBJA$
>xK!J?!K
A=f^2/(d3*d2)-f/d1; SM1[)jZ-
B=f/d1-f/d2+f/d1+f/d3-d3*f/(d3*d2); +L>?kr[i[
C=d3/d2-f/d1; h&O8e;S#
SQ0t28N3h
a1=(-B-sqrt(B^2-4*A*C))/(2*A); pj/w9j G6
a2=d3/(a1*f); i?D
KKjN$
b2=a1*(1-a2)*f/d2; a i@hQJ*
b1=(1-a1)*f/(d1*b2); 'pQ\ BH
6>R|B?I%
%曲率半径 d^W1;0
o{I]c#W
R1=2*f/(b1*b2) H% ^j yGS
R2=2*a1*f/(b2*(1+b1)) `S+B-I0
R3=2*a1*a2*f/(1+b2) .Mz'h 9@
gK+/wTQ%
A1=b2^3*(a1-1)*(1+b1)^3; '%\FT-{
B1=-(a2*(a1-1)+b1*(1-a2))*(1+b2)^3; Yj/[I\I"m
C1=(a1-1)*b2^3*(1+b1)*(1-b1)^2-(a2*(a1-1)+b1*(1-a2))*(1+b2)*(1-b2)^2-2*b1*b2; [r f.&
rUOl+p_47
A2=b2*(a1-1)^2*(1+b1)^3/(4*a1*b1^2); TF7~eyLg
B2=-(a2*(a1-1)+b1*(1-a2))^2*(1+b2)^3/(4*a1*a2*b1^2*b2^2); lk`, 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); _DAj$$ Ru4
9W +RUh^W
CB=[C1 B1;C2 B2]; [Z$ E^QAP
AB=[A1 B1;A2 B2]; 6&KvT2?tA`
AC=[A1 C1;A2 C2]; NR|t ~C+
e3!0<A[X
%二次系数 hUO&rov3@
Ka| ,
qkb
k2=-(det(CB)/det(AB)); Z(0sMOaX
k3=-(det(AC)/det(AB)); 4ht+u
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 3qNLosm#M
k2=k2
1Bhd -
k3=k3 qrxn%#\XP
hCFgZiH2
end
