%无中间像,焦距输入为负数 _~ v-:w
function sjr=nfdre(~) CP +4k.)*O
MM7"a?y)
%系统焦距及各镜间距输入,间距取负正负 R3$@N
PDhWFF
f=input('f:'); \kxh#{$z?
d1=input('d1:'); NP "ylMr7P
d2=input('d2:'); L4~
W/6A
d3=input('d3:'); 7iP5T
NJ<N %hcjK
A=f^2/(d3*d2)-f/d1; ):S!Nl
B=f/d1-f/d2+f/d1+f/d3-d3*f/(d3*d2); $1~c_<DN
C=d3/d2-f/d1; =w6}\ 'X
\Y9I~8\gB
a1=(-B+sqrt(B^2-4*A*C))/(2*A);%α1 gd
K*"U
a2=d3/(a1*f);%α2 _1P`]+K\D$
b2=a1*(1-a2)*f/d2;%β2 YN/u9[=`
b1=(1-a1)*f/(d1*b2);%β1 q4)Ey
9T$u+GX'
f -7S:,
%曲率半径 I
:@|^PYw
)&Mq,@
R1=2*f/(b1*b2) J)#S-ZB+'k
R2=2*a1*f/(b2*(1+b1)) g**5z'7
R3=2*a1*a2*f/(1+b2) 1#]B^D
.D!WO
A1=b2^3*(a1-1)*(1+b1)^3; ;7L ;
B1=-(a2*(a1-1)+b1*(1-a2))*(1+b2)^3; $7Cgo &J
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,0@~;zA
i+I0k~wY
A2=b2*(a1-1)^2*(1+b1)^3/(4*a1*b1^2); L@?e:*h
B2=-(a2*(a1-1)+b1*(1-a2))^2*(1+b2)^3/(4*a1*a2*b1^2*b2^2); V,m3-=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); :mP9^Do2;
6m@0;Ht
CB=[C1 B1;C2 B2]; ??j&i6sp
AB=[A1 B1;A2 B2]; &y\igX1
AC=[A1 C1;A2 C2]; aDh|48}X
i(Vm!Y82
%非球面系数 yuv4*
k2=-(det(CB)/det(AB)); S2Vx e@b)
k3=-(det(AC)/det(AB)); +<{m45
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 !vVT]k[N
k2=k2 },s_nJR:8
k3=k3 ;Yv14{T!
9(Jy0]E~
end 2LC
w*eT{)
+KP_yUq[
%有中间像,焦距输入为正数 FB_NkXR
kP?_kMOx
function sjr=yfdre(~) e5 3,Rqi)@
kV+ R5R
f=input('f:'); ^vM_kArA
d1=input('d1:'); 7@3sUA_Go
d2=input('d2:'); EZ{\D!_Y
d3=input('d3:'); A%n?}
rs_h}+6"s
A=f^2/(d3*d2)-f/d1; | k}e&Q_/G
B=f/d1-f/d2+f/d1+f/d3-d3*f/(d3*d2); 0
u2Ny&6w
C=d3/d2-f/d1; \4QH/e
b5S7{"<V
a1=(-B-sqrt(B^2-4*A*C))/(2*A); x`L+7,&n
a2=d3/(a1*f); MQ9vPgh
b2=a1*(1-a2)*f/d2; .<.#aY;N
b1=(1-a1)*f/(d1*b2); }^9paU
](nH{aY!
%曲率半径 Fs)
4m\([EO
R1=2*f/(b1*b2) Gk 6fO
R2=2*a1*f/(b2*(1+b1)) ib; yu_
R3=2*a1*a2*f/(1+b2) 7H#2WFQ7
Xb0!( (A
A1=b2^3*(a1-1)*(1+b1)^3; 3Y(9\}E@`
B1=-(a2*(a1-1)+b1*(1-a2))*(1+b2)^3; qK,V$l(4#
C1=(a1-1)*b2^3*(1+b1)*(1-b1)^2-(a2*(a1-1)+b1*(1-a2))*(1+b2)*(1-b2)^2-2*b1*b2; KC]tY9 FK
F9O`HFVK
A2=b2*(a1-1)^2*(1+b1)^3/(4*a1*b1^2); D:)~%wu Lt
B2=-(a2*(a1-1)+b1*(1-a2))^2*(1+b2)^3/(4*a1*a2*b1^2*b2^2); XR+rT
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); Wp`C:H
s-%J5_d f
CB=[C1 B1;C2 B2]; :P,2K5]y
AB=[A1 B1;A2 B2]; Uuz?8/w}#
AC=[A1 C1;A2 C2]; 2+Zti8
k% NrL@z
%二次系数 -$9~xX
iJ4<f->t
k2=-(det(CB)/det(AB)); }k| g%HJ
k3=-(det(AC)/det(AB)); |
+fwvi&a
k1=(k2*a1*b2^3*(1+b1)^3-k3*a1*a2*(1+b2)^3+a1*b2^3*(1+b1)*(1-b1)^2-a1*a2*(1+b2)*(1-b2)^2)/(b1^3*b2^3)-1 O{nC^`X
k2=k2 bOe<\Y$
k3=k3 _jo$)x+'x
_0m}z%rI
end