%无中间像，焦距输入为负数 J6=*F;x6E
function sjr=nfdre(~) m+,a=sR
cO_En`F
%系统焦距及各镜间距输入，间距取负正负 wzF/`z&0?6
]iY j S
f=input('f:'); `WX @1 ]m
d1=input('d1:'); 0~)cAK us
d2=input('d2:'); yX<Sk q
d3=input('d3:'); "Q-TLN5(
#2/k^N4r
A=f^2/(d3*d2)-f/d1;
_6xC4@~h*
B=f/d1-f/d2+f/d1+f/d3-d3*f/(d3*d2); ':6`M
C=d3/d2-f/d1; <`n T+c
^vfp;
a1=(-B+sqrt(B^2-4*A*C))/(2*A);%α1 QGn3xM66
a2=d3/(a1*f);%α2 m.Yj{u8zX
b2=a1*(1-a2)*f/d2;%β2 SW#
5px`
b1=(1-a1)*f/(d1*b2);%β1 FUiEayM
NRgN h5/
0 %#ZupN
%曲率半径 IP9mv`[
yC(xi"!
R1=2*f/(b1*b2) /X; [
9&
R2=2*a1*f/(b2*(1+b1)) #J# x,BLI
R3=2*a1*a2*f/(1+b2) 1T!(M"'Ij
v[A)r]"j"M
A1=b2^3*(a1-1)*(1+b1)^3; 2tMe# V
B1=-(a2*(a1-1)+b1*(1-a2))*(1+b2)^3; ewvFUD'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; 9jBP|I{xI
R %aed>zo
A2=b2*(a1-1)^2*(1+b1)^3/(4*a1*b1^2); $!H;,Jxv
B2=-(a2*(a1-1)+b1*(1-a2))^2*(1+b2)^3/(4*a1*a2*b1^2*b2^2); aHuZzYQ*"j
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); L9W'TvTwo
M&wf4)*%0+
CB=[C1 B1;C2 B2]; Gx,<|v
AB=[A1 B1;A2 B2]; e5W 8YNA
AC=[A1 C1;A2 C2]; Pp #
Py_yIwQqg
%非球面系数 n c4KeEl
k2=-(det(CB)/det(AB)); DI"KH)XD
k3=-(det(AC)/det(AB)); Wl\.*^`k
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 :2ILN.&
k2=k2 8eGq.+5G
k3=k3 #Ie/|
"}fJ 2G3
end EhB0w; c
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dn
%有中间像，焦距输入为正数 %{I b
lC|`DG-B
function sjr=yfdre(~) "tdF #>x
__LR!F]=i
f=input('f:'); AWo\u!j
d1=input('d1:'); ~XU% _Hz
d2=input('d2:'); L6<.>\^Z"
d3=input('d3:'); 8~*
|muN.e
"Tt5cqUQoY
A=f^2/(d3*d2)-f/d1; 57@ 6O-t-
B=f/d1-f/d2+f/d1+f/d3-d3*f/(d3*d2); s3<gq x-&r
C=d3/d2-f/d1; GO4IAUA
lrQNl^K }=
a1=(-B-sqrt(B^2-4*A*C))/(2*A); lZ gX{
a2=d3/(a1*f); )seeBm-`
b2=a1*(1-a2)*f/d2; @-zL"%%dw'
b1=(1-a1)*f/(d1*b2); FWC\(f
F)K&a
%曲率半径 ^jh c(ZW"
U</Vcz
R1=2*f/(b1*b2) KJ (|skO
R2=2*a1*f/(b2*(1+b1)) 8/gA]I
6=#
R3=2*a1*a2*f/(1+b2) }IJE %
D`c&Q4$:
A1=b2^3*(a1-1)*(1+b1)^3; *3@ =XY7
B1=-(a2*(a1-1)+b1*(1-a2))*(1+b2)^3; r_>]yp
C1=(a1-1)*b2^3*(1+b1)*(1-b1)^2-(a2*(a1-1)+b1*(1-a2))*(1+b2)*(1-b2)^2-2*b1*b2; -< 0xS.^
S(2_s,J^
A2=b2*(a1-1)^2*(1+b1)^3/(4*a1*b1^2); |!m8JV|x
B2=-(a2*(a1-1)+b1*(1-a2))^2*(1+b2)^3/(4*a1*a2*b1^2*b2^2); 9u?[{h.`B
C2=b2*(a1-1)^2*(1+b1)*(1-b1)^2/(4*a1*b1^2)-(a2*(a1-1)+b1*(1-a2))^2*(1+b2)*(1-b2)^2/(4*a1*a2*b1^2*b2^2)-b2*(a1-1)*(1-b1)*(1+b1)/(a1*b1)-(a2*(a1-1)+b1*(1-a2))*(1-b2)*(1+b2)/(a1*a2*b1*b2)-b1*b2+b2*(1+b1)/a1-(1+b2)/(a1*a2); Y '
FB
{
#|j8vmfn$e
CB=[C1 B1;C2 B2]; NdxPC~Z+
AB=[A1 B1;A2 B2]; \RT3#X+
AC=[A1 C1;A2 C2]; L S:^K
`_"loPu
%二次系数 xyzYY}PS
V*6o |#
k2=-(det(CB)/det(AB)); {e!3|&AX
k3=-(det(AC)/det(AB)); yOTC>?p%
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$t.$[~L
k2=k2 ) S zn,
k3=k3 S\M+*:7
TTagZI$
end
