%无中间像，焦距输入为负数 ^G ] KE8
function sjr=nfdre(~) #R~">g:w
Z\ "Kd
%系统焦距及各镜间距输入，间距取负正负 pkrl@ jv >
a 7QlU=\
f=input('f:'); AlPL;^Y_l
d1=input('d1:'); f 3nnXE"
d2=input('d2:'); Vvxc8v:
d3=input('d3:'); 8cYuzt]..
yb@X*PW/z
A=f^2/(d3*d2)-f/d1; ~$ cm 9>
B=f/d1-f/d2+f/d1+f/d3-d3*f/(d3*d2); VWnu #_(
C=d3/d2-f/d1; 842Mydom
T>AI0R3
a1=(-B+sqrt(B^2-4*A*C))/(2*A);%α1 f ~n' Ki+'
a2=d3/(a1*f);%α2 &F@t mM~
b2=a1*(1-a2)*f/d2;%β2 mI{CM:
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b1=(1-a1)*f/(d1*b2);%β1 -jcrXskb&N
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mI _ 6f~
%曲率半径 Z_eqM4{
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R1=2*f/(b1*b2) $G^H7|PzdC
R2=2*a1*f/(b2*(1+b1)) K-g=td/@
R3=2*a1*a2*f/(1+b2) [4V|UvK z
^^j|0qshL
A1=b2^3*(a1-1)*(1+b1)^3; }RC. Q`b
B1=-(a2*(a1-1)+b1*(1-a2))*(1+b2)^3; VC_3 ll]vr
C1=(a1-1)*b2^3*(1+b1)*(1-b1)^2-(a2*(a1-1)+b1*(1-a2))*(1+b2)*(1-b2)^2-2*b1*b2; (+]Ig> t
Q@3 ld6y
A2=b2*(a1-1)^2*(1+b1)^3/(4*a1*b1^2); il `C,C D
B2=-(a2*(a1-1)+b1*(1-a2))^2*(1+b2)^3/(4*a1*a2*b1^2*b2^2); vl#V-UW$4P
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); 93zlfLS0
+ik N) D
CB=[C1 B1;C2 B2]; Yp?a=R
AB=[A1 B1;A2 B2]; uMq\];7I
AC=[A1 C1;A2 C2]; B8BY3~}]
A7I8Z6&
%非球面系数 1 *eWvYo1
k2=-(det(CB)/det(AB)); Z;dw n~Tw
k3=-(det(AC)/det(AB)); R[ +]d|L
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 %Pt[3>
k2=k2 2yVGE p^
k3=k3 <try%p|f
`siy!R
end +@<^i?ale
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%有中间像，焦距输入为正数 i >/@]2
f R{WS:Pv
function sjr=yfdre(~) m8j#{[NE
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f=input('f:'); sV Z}nq{
d1=input('d1:');
hE?GO,
d2=input('d2:'); w-q=.RSTn=
d3=input('d3:'); ) Sh ;UW
%Tm' aY"
A=f^2/(d3*d2)-f/d1; S+E3;' H
B=f/d1-f/d2+f/d1+f/d3-d3*f/(d3*d2); `b,g2XA
C=d3/d2-f/d1; !UPAEA
]T28q/B;k
a1=(-B-sqrt(B^2-4*A*C))/(2*A); 6b1 Uj<
a2=d3/(a1*f); Q=9VuTE
b2=a1*(1-a2)*f/d2; cR@}
b1=(1-a1)*f/(d1*b2); KcMzZ!d7m
;tIIEc
%曲率半径 @ t U>~y{E
RWEgUDX^/
R1=2*f/(b1*b2) )="g?E 3
R2=2*a1*f/(b2*(1+b1)) 5tbiNm^X
R3=2*a1*a2*f/(1+b2) r%?}5"*
nh_xbo5L[
A1=b2^3*(a1-1)*(1+b1)^3; @o-evH;G
B1=-(a2*(a1-1)+b1*(1-a2))*(1+b2)^3; vA $BBXX
C1=(a1-1)*b2^3*(1+b1)*(1-b1)^2-(a2*(a1-1)+b1*(1-a2))*(1+b2)*(1-b2)^2-2*b1*b2; epm8N /
,'@ISCK^
A2=b2*(a1-1)^2*(1+b1)^3/(4*a1*b1^2); u>-uRz<)t
B2=-(a2*(a1-1)+b1*(1-a2))^2*(1+b2)^3/(4*a1*a2*b1^2*b2^2); ?\ i,JJO
C2=b2*(a1-1)^2*(1+b1)*(1-b1)^2/(4*a1*b1^2)-(a2*(a1-1)+b1*(1-a2))^2*(1+b2)*(1-b2)^2/(4*a1*a2*b1^2*b2^2)-b2*(a1-1)*(1-b1)*(1+b1)/(a1*b1)-(a2*(a1-1)+b1*(1-a2))*(1-b2)*(1+b2)/(a1*a2*b1*b2)-b1*b2+b2*(1+b1)/a1-(1+b2)/(a1*a2); PeR<FSF ,i
\?Oa}&k$F8
CB=[C1 B1;C2 B2]; Zp P6Q
AB=[A1 B1;A2 B2]; c9 TkIe
AC=[A1 C1;A2 C2]; U1@ P/
^SES')x
%二次系数 =?Q Qb>
dIe 6 :s
k2=-(det(CB)/det(AB)); 9= ;g4I
k3=-(det(AC)/det(AB)); Szob_IEq,
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 E"vi+'(v
k2=k2 "q #g/T
k3=k3 'G
By^hj?
p RfHbPV?
end
