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简介 <"HbX %]\IC(q 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 ;Svs|]d %7[Z/U= 模型 4lsg%b6_%, grbUR)f<?- 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 -+,3aK<[ .j l|?o Table 1. AZ眼睛模型的定义 cwC-)#R'] 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. ] IeyJ Q3P*&6wA 光源
#Ks2a):8 mZ!1Vh 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 KL^hYjC R\ZyS
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图1. 光源和提示信息使用 +S
C;@' 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 W, -fnJk ]zUvs6ksLG 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 tZ*z.3\< M9dOLM. 图2. 字母F光源的设定方法光 *c{X\!YBh ^R;rrn{^ 图3. 字母F在视网膜上位置点列图 ]J)3y+;P 视网膜的散射 /AhN$)(O O$,bNu/g 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 5rPK7Jh`B )DwHLaLW IuN:*P 图4. 视网膜朗伯散射设定 c@<vFoq 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 0fP-[7P L.R4 iN 5FQtlB9F 图5. 视网膜重点采样规格设定 e0cVg 脚本 alz2F.%Y na-mh
E,H 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: MFqM6_
~uRL+<.c 图6. 用户对话框的创建与编辑 45H(.}&f 图7. 用户对话框编辑器 SQ0t28N3h 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 pj/w9j G6 余下的脚本计算与屈光度有关的所有参数。 i?D
KKjN$ } Rs@ 分析 jc-$l b@?pofZ`k 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 V+- ]txu| y>jP]LR4 图7. 字母F在视网膜上颜色分析 p"k[ac{ 脚本代码 #s]'2O *C"-$WU3o Option Explicit 'Remove this to enable non-dimensioned variables to be used. wr{ [4$O +#=l{_Z,ZJ Dim entity As T_ENTITY dRu|*s Dim op As T_OPERATION %FSY}65 Dim mat As T_MODELMATERIAL 9:1[4o)~ Dim A As Double vpL3XYs` Dim pupilDiam As Double F!pgec%]' Dim eID As Long zd-qQ.j0 Dim parID As Long 3,[#%}1(S Dim count As Integer 9?L,DThQ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 2SHS!6:Rl Dim tlens As Double, nlens As Double =&YhA}l\O Dim curv As Double, conic As Double Dg~L" Dim ok As Long QxS=W2iN 71(C@/J Sub Main =}^J6+TVL w/UZ6fu '用户输入对话框 w(-h!d51+ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 {j!+\neL TextBox 220,21,40,21,.TextBox1 'default: 0 3sF^6<E Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 o b,%); m OKButton 40,91,90,21 ?X5Y8n]y\h CancelButton 190,91,90,21 M#a1ev Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 >Ndck2@ TextBox 220,49,40,21,.TextBox2 'default: 4 nlsif End Dialog 6L4<c+v_ Dim dlg As UserDialog unZYFA}( 8{ooLdpX7 ok = Dialog (dlg) K|^'`FpPO f tE2@} If ok=0 Then 'cancel button was pressed =/zb$d cz Print "Execution cancelled." N:nhS3N<L End "2
"gTS End If DJ.n8hne `%oJa` 'Assign accommodation and pupil diameter & use defaults if field left empty #'lqE)T If dlg.TextBox1 = "" Then h#o?O k A = 0 'Default accommodation G>f2E49BXt Else Q-7C'| A = CDbl(dlg.TextBox1) 8AgKK=C= End If D_2~
6 Fh0cOp( If dlg.TextBox2 = "" Then e$=UA% pupilDiam = 4 'Default pupil diameter !wNj;ST* Else 7 S6@[-E pupilDiam = CDbl(dlg.TextBox2) @})]4H End If !eE;MaS> ~8l(,N0 Print " " (]gd$BgD Print "Accommodation = " & A & " Diopters" q"C(`S.@ Print "Pupil Diameter = " & pupilDiam & " mm" !${7 )=|=1 PT/TQW ' Calculate new parameters with accommodation 9hn+eU taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness pB0p?D)n l+HF+v$ Rant = 12.0 - 0.4*A 'Radius of anterior lens SSo7
U CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens p;0p!~F=49 mJN*DP{ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens rO3.%B} CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens ^T&@(|o hw9qnSeRy tlens = 3.767 + 0.04*A 'Lens thickness }fT5(+ Wo i&_&4 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction INjr$'* Ef~Ar@4fA 'Adjust parameters to account for accommodation -'%>Fon Ql8s7 % '************************************************************************* :XFr"aSt 'Aqueous thickness (Position of Lens) J<;@RK,c_ '************************************************************************* cM 5V%w eID = FindFullName( "Geometry.Arizona Eye.Lens" ) }"x#uG GetCustomElement eID, entity 3[F9qDAy PXrv2q[5? parID = FindFullName( "Geometry.Arizona Eye" ) Z`]r)z%f 3Z%~WE;I ' Delete any shift(s) in z )Bw}T count = 0 <reALC While GetOperationCount(eID)>count DV{0|E GetOperation eID, count, op s{9G// If op.Type="ShiftZ" Then pB5#Ho>S DeleteOperation eID,count <N'v-9=2jl count=count-1 '^!#*O End If :tf'Gw6v count=count+1 l' mdj!{& Wend L'L[Vpx |w].*c}Z 'Set new shift in `~k`m{4.a op.Type = "ShiftZ" ,[UK32KWI op.val1 = taq N(Sc!rX op.parent = parID gzd<D}2F~ AddOperation eID, op +=M N_ Print "Set aqueous humor thickness = " & taq-0.55 6"YcM:5~
YG_|L[/# '************************************************************************* PrqyJ 'Radius and conic constant of anterior lens (|9t+KP '************************************************************************* 4..M *U eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" )
m"/ o4 GetConic eID, entity, curv, conic Aw$+Ew[8 2 Lvd es.0| SetConic eID, entity, 1/Rant, CCant q5xF~SQGw2 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant w<&R|= 93 Lm3~< vP1e '************************************************************************* ^V7'S< 'Radius and conic constant of posterior lens z3Zo64V~7 '************************************************************************* g^:
&Dh eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) zvbO
q GetConic eID, entity, curv, conic G_]zymXQ Ji)Ys
ebV SetConic eID, entity, 1/Rpost, CCpost b[KZJLZ) Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost %zz,qs)Eu ZA+w7S3 '************************************************************************* "IN[( 'Lens thickness (Position of posterior lens surface) BIh^b?:zU '************************************************************************* vzFo" \2))c@@% parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ey@ccc*sZ9 {n\Ai3F- ' Delete any z-shift(s) 4$+1&+@ ] count = 0 +Ly@5y" While GetOperationCount(eID)>count +L|x^B3 GetOperation eID, count, op mg]t)+ PQ If op.Type="ShiftZ" Then FrC)2wX DeleteOperation eID,count V+5av Z} count=count-1 q ;"/i*+3 End If ykYef count=count+1 fE"-W{M Wend Z 4QL&?U
qV0GpVJZU? 'Set new z-shift *#9?9SYSk op.Type = "ShiftZ" jwpahy;\WL op.val1 = tlens Du #>y! op.parent = parID "`NAg AddOperation eID, op uaE,F^p Print "Set lens thickness = " & tlens (q@%eor&} )FN\jo!!. '************************************************************************* 6WX?Xc]$3 'Lens index of refraction 6UI6E)g '************************************************************************* q|V|Jl eID = FindMaterial( "Lens" ) KM"BHaSkF GetModelMaterial eID, mat ,_TE@]!$ C8W_f( i~ mat.Nd = nlens 1~Z
SetModelMaterial eID, mat vnWt8?)]^ Print "Set lens index of refraction = " & nlens (mplo|> 2H1
[oD[ '************************************************************************* EM(%|# 'Pupil diameter ++n_$Qug '************************************************************************* K~4bT= eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) $*`E;}S0 IrUoAQ2xpG 'Adjust pupil diameter (trimming volume inner hole) 9k\M<jA fA"c9(>m%] SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" $xCJ5M4 }@"v7X $ ' Adjust pupil location to just in front of the lens _Wq;bKG parID = FindFullName( "Geometry.Arizona Eye" ) +/
{lz8^, eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) WcQkeh3n count = 0 8"TlWHF` While GetOperationCount(eID)>count 4V c``Um GetOperation eID, count, op T"t.t%(8 If op.Type="ShiftZ" Then E@EP9X
> DeleteOperation eID,count jGoQXiX count=count-1 Yxy!&hPLv: End If YC$>D?FW count=count+1 #0?3RP Wend Apj[z2nr op.Type = "ShiftZ" 3-oKY*jO op.val1 = taq-0.01 p( )LQT! op.parent = parID <*+[E!oi AddOperation eID, op <,Pl31g^ hYh~%^0dt Print "Set pupil diameter = " & pupilDiam f:t j
cY Qm8TR< 'Update AZ Eye subassembly Description v_WF.sb~ eID = FindFullName( "Geometry.Arizona Eye" ) f|ERZN`uB GetEntity eID, entity nBLb1T entity.Description = "Accommodation = " & A & "D" =dwy 4 SetEntity eID, entity OsW*@v( }u1h6rd ` Update gW^4@q Print "DONE!" )?I*zc 8)MWC: End Sub 6Eus_aP mN>(n+ly 如果屈光度是4,光瞳直径是4,则会输出如下数据: NB5lxaL F@HJ3O9 Accommodation = 4 Diopters GvvKM=1 Pupil Diameter = 4 mm a_]l?t Set aqueous humor thickness = 2.81 \%9QE Set anterior lens radius = 10.4 and conic constant = -2.375869 )TyP{X> Set posterior lens radius = -4.424557 and conic constant = -3.081019 OG_v[ C5 Set lens thickness = 3.927 _k;HhLj` Set lens index of refraction = 1.42672 )||CU]"b? Set pupil diameter = 4 J qmL|S) DONE! ;JMmr-@
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