%无中间像，焦距输入为负数 s`8M%ZLu
function sjr=nfdre(~) <Dt /Rad
XBfia j
%系统焦距及各镜间距输入，间距取负正负 es.\e.HK
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f=input('f:'); 33#7U+~]@
d1=input('d1:'); Ft%TnEp
d2=input('d2:'); uPv;y!Lsa@
d3=input('d3:'); 5XSxQG@k^z
W2r 6jm!
A=f^2/(d3*d2)-f/d1; !1a|5
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B=f/d1-f/d2+f/d1+f/d3-d3*f/(d3*d2); eZN3H"H
C=d3/d2-f/d1; A@@)lD.
O?C-nw6kP
a1=(-B+sqrt(B^2-4*A*C))/(2*A);%α1 RE`J"&
a2=d3/(a1*f);%α2 `}k&HRn
b2=a1*(1-a2)*f/d2;%β2 q
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b1=(1-a1)*f/(d1*b2);%β1 ^*cMry
Q.pEUDq/
X/`#5<x
%曲率半径 `_ J^g&y~
.R$+#_
R1=2*f/(b1*b2) WTV3p,;6a
R2=2*a1*f/(b2*(1+b1)) Vq .!(x
R3=2*a1*a2*f/(1+b2) <FcPxZ
66^1& D"
A1=b2^3*(a1-1)*(1+b1)^3; s3MMICRT.
B1=-(a2*(a1-1)+b1*(1-a2))*(1+b2)^3; zJG x5JC
C1=(a1-1)*b2^3*(1+b1)*(1-b1)^2-(a2*(a1-1)+b1*(1-a2))*(1+b2)*(1-b2)^2-2*b1*b2; gCk y(4
F(K H-
A2=b2*(a1-1)^2*(1+b1)^3/(4*a1*b1^2); .q_uJ_qu-
B2=-(a2*(a1-1)+b1*(1-a2))^2*(1+b2)^3/(4*a1*a2*b1^2*b2^2); dPH!
V6r
C2=b2*(a1-1)^2*(1+b1)*(1-b1)^2/(4*a1*b1^2)-(a2*(a1-1)+b1*(1-a2))^2*(1+b2)*(1-b2)^2/(4*a1*a2*b1^2*b2^2)-b2*(a1-1)*(1-b1)*(1+b1)/(a1*b1)-(a2*(a1-1)+b1*(1-a2))*(1-b2)*(1+b2)/(a1*a2*b1*b2)-b1*b2+b2*(1+b1)/a1-(1+b2)/(a1*a2); dVsAX (
>?G|Yz*kEJ
CB=[C1 B1;C2 B2]; .UT,lqEkv
AB=[A1 B1;A2 B2]; JGSk4
AC=[A1 C1;A2 C2]; /+<%,c$n
}QWTPRn
%非球面系数 L!8 - :)0b
k2=-(det(CB)/det(AB)); ,IT)zCpaBP
k3=-(det(AC)/det(AB)); I9*BENkR
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 U <g UX07
k2=k2 Y6 ; 0khp
k3=k3 A<YZ BR_
D)O6| DiO
end Zeme`/aBb
]d f9'\
%有中间像，焦距输入为正数 {x&jh|f`g
282+1X
function sjr=yfdre(~) 80 s~ae;
B (en5|
f=input('f:'); I7G\X#,iz
d1=input('d1:'); ohc/.5Kl
d2=input('d2:'); wCq)w=,
d3=input('d3:'); d5sGkR` (
ziLr }/tg
A=f^2/(d3*d2)-f/d1; 3h D2C'KD
B=f/d1-f/d2+f/d1+f/d3-d3*f/(d3*d2); U&w 5&W{F}
C=d3/d2-f/d1; MOqA$b
CJ}@R.Zy
a1=(-B-sqrt(B^2-4*A*C))/(2*A); ?9('o\N:
a2=d3/(a1*f); OO !S
w
b2=a1*(1-a2)*f/d2; \6`%NhkM_
b1=(1-a1)*f/(d1*b2); DETajf/<F
Iu1Sj`A
%曲率半径 }l Nuf u
,8J*S
R1=2*f/(b1*b2) ,3@15j
R2=2*a1*f/(b2*(1+b1)) #o r7T^
R3=2*a1*a2*f/(1+b2) 7u`}t83a
*v :,rh
A1=b2^3*(a1-1)*(1+b1)^3; ?^yh5
B1=-(a2*(a1-1)+b1*(1-a2))*(1+b2)^3; jC/JiI
C1=(a1-1)*b2^3*(1+b1)*(1-b1)^2-(a2*(a1-1)+b1*(1-a2))*(1+b2)*(1-b2)^2-2*b1*b2; od5w9E.
Y 8`))MeD
A2=b2*(a1-1)^2*(1+b1)^3/(4*a1*b1^2); E? m#S
B2=-(a2*(a1-1)+b1*(1-a2))^2*(1+b2)^3/(4*a1*a2*b1^2*b2^2); Cj4b ]*Q,
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); #o"HD6e
Z;~E+dXC
CB=[C1 B1;C2 B2]; |{ /O)3
AB=[A1 B1;A2 B2]; Sj{rvW
AC=[A1 C1;A2 C2]; p\]LEP\z,
9Pob|UA
%二次系数 yz2oS|0 '
li_pM!dWU_
k2=-(det(CB)/det(AB)); m"|(w`n]E+
k3=-(det(AC)/det(AB)); zIY r0k*%
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 |L_g/e1 A3
k2=k2 X_s G6Q@
k3=k3 {u_k\m[Y
#`#aSqGmc
end
