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简介 F]EBD 8/b !m;H@KR{ 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。 8)L*AdDAW! SmhGZ 模型 Dnw| %6Y 7B7&9<gc 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。 -]srp;=i DF_X Table 1. AZ眼睛模型的定义 /mA,F;
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. LzML%J62 ]fBUT6 光源 /Fgw$
^H ) ;FS7R
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。 wSEWwU[ )5_jmW`n 15U (={ 图1. 光源和提示信息使用 c!#:E` 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。 S >yLqPp G2Vv i[c 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。 58 bCUh#uw xtfBfA 图2. 字母F光源的设定方法光 W,XTF asHxL! 图3. 字母F在视网膜上位置点列图 0@I S 视网膜的散射 83%)/_& zK|i='XSf 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。 vi.w8>CE ?W>qUrZ w[tmCn+ 图4. 视网膜朗伯散射设定 M_g?<rK 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。 3 ZEB ZJPmR/OV_ `d7n?|pD 图5. 视网膜重点采样规格设定 aJ Z"D8C 脚本 #>lG7Ns|4 b~=0[Rv 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: d.UQW
yLG kQ1w5mCh 图6. 用户对话框的创建与编辑 WOzf]3Xcj 图7. 用户对话框编辑器 [AMAa]^ 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。 >NYW{(j 余下的脚本计算与屈光度有关的所有参数。 [e[<p\] BTgG4F/) 分析 4}+/F}TbJ5 y!tC20Q 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ktIi$v v~QHMg 图7. 字母F在视网膜上颜色分析 }>)[<;M>% 脚本代码 p
sL?Y )nL`H^ Option Explicit 'Remove this to enable non-dimensioned variables to be used. ^8.]d~j .7K7h^*F Dim entity As T_ENTITY >
pI;%' Dim op As T_OPERATION vz.>~HBP Dim mat As T_MODELMATERIAL q`-;AG|xF Dim A As Double Pj}66. Dim pupilDiam As Double Cj~'Lhmv'T Dim eID As Long [!!Q,S"
Dim parID As Long Tg!m`9s+ Dim count As Integer '%q$`KDb Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double /c
uLc^(X Dim tlens As Double, nlens As Double Ym3\pRFiD Dim curv As Double, conic As Double 9$2/MT't Dim ok As Long CHe>OreiS "g$IP9?U Sub Main ^R:cd8+?% 0$,SF3K '用户输入对话框 u\C
lP# Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 >=[(^l TextBox 220,21,40,21,.TextBox1 'default: 0 w!fE;H8w6 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 dKdj`wB OKButton 40,91,90,21 (Jz1vEEV CancelButton 190,91,90,21 w.[ "p9tc Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ~ 4kc/a TextBox 220,49,40,21,.TextBox2 'default: 4 On?p 9^9 End Dialog /`mks1:pK Dim dlg As UserDialog '&\kxNglJ C.FI~Z ok = Dialog (dlg) HDF|{ Ytl4kaYS If ok=0 Then 'cancel button was pressed @nux9MX<9 Print "Execution cancelled." G K7![p End Mnscb End If *s:(jDlv "1%5, 'Assign accommodation and pupil diameter & use defaults if field left empty ZzSz%z_sE If dlg.TextBox1 = "" Then 97}OL`y A = 0 'Default accommodation m6w].-D8 Else ;C2K~8, A = CDbl(dlg.TextBox1) NuQdSj_> End If N<XNTf iv4H#rJ If dlg.TextBox2 = "" Then y !_C/!d pupilDiam = 4 'Default pupil diameter mWsI}2 Else !6*"( pupilDiam = CDbl(dlg.TextBox2) YB2VcF.LU End If B!?%O i%0ur}p Print " " a6uJYhS~ Print "Accommodation = " & A & " Diopters" 9po3m]|zy Print "Pupil Diameter = " & pupilDiam & " mm" TA4!$7b$ m)'=G%y ' Calculate new parameters with accommodation LGw$v[wb taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness Y2~nBb OG>}M$Ora Rant = 12.0 - 0.4*A 'Radius of anterior lens OWg(#pZk CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens <nT
+$ cWe"%I Rpost = -5.224557 + 0.2*A 'Radius of posterior lens y.< m#Zzt CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens %5"9</a&G YwjKAyLU tlens = 3.767 + 0.04*A 'Lens thickness Na]:_K5Dp ) QU nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction kY-N>E: ]1#e#M]# 'Adjust parameters to account for accommodation J;8IY= t*1fLumXR '************************************************************************* Ng~FEl 'Aqueous thickness (Position of Lens) !xo{-@@wS '************************************************************************* T?ZRiR)@ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 2{H@(Vgpbr GetCustomElement eID, entity s;01u_ {tYZt4!{^ parID = FindFullName( "Geometry.Arizona Eye" ) PgF*
1 jtW!"TOY ' Delete any shift(s) in z RAgg:3^ count = 0 T[UN@^DP( While GetOperationCount(eID)>count H4&lb} GetOperation eID, count, op }HFN3cq;C If op.Type="ShiftZ" Then ,9zjFI DeleteOperation eID,count 3q\,$*D. count=count-1 P-y jN End If iJ1"at count=count+1 FQ<Ju. Wend 4;yKOQD| !Prg_6
` 'Set new shift in &8Cu#^3
op.Type = "ShiftZ" k@ RDvn op.val1 = taq $P/~rZ@M@ op.parent = parID YNKHN2E8 AddOperation eID, op }ppN k:B Print "Set aqueous humor thickness = " & taq-0.55 1\
o59Y XDOY`N^L '************************************************************************* *x@Onj 'Radius and conic constant of anterior lens L*xhGoC= '************************************************************************* g+vva" eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) i&bA2p3+d GetConic eID, entity, curv, conic vlmB`T %Nlt H/I SetConic eID, entity, 1/Rant, CCant n'n/Tu Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant vdivq^%=a A5c%SCq; '************************************************************************* +Vb.lH[av 'Radius and conic constant of posterior lens le|~BG hL '************************************************************************* #+ 0M2Sa eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) V_:1EBzz GetConic eID, entity, curv, conic 6m*QX+ y-'$(x SetConic eID, entity, 1/Rpost, CCpost ey7 f9 Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost w'Y7IlC \)#kquH/l '************************************************************************* P+@/O 'Lens thickness (Position of posterior lens surface) ?uzRhC_)! '************************************************************************* S 6@u@C o4G ?nvK- parID = FindFullName( "Geometry.Arizona Eye.Lens" ) HSjlD{R ]sf7{lVT ' Delete any z-shift(s) ?GKb7Oj count = 0 7Wf/$vRab While GetOperationCount(eID)>count !JHL\M>A5 GetOperation eID, count, op [M]
If op.Type="ShiftZ" Then UOv+T8f= DeleteOperation eID,count I667Gz$j5 count=count-1 > kGGR End If JFcLv=U count=count+1 S'Q@ScJ Wend Vz~{UHH6 6a(yp3 'Set new z-shift `06; op.Type = "ShiftZ" uw>Ba %5 op.val1 = tlens u@W|gLT1 op.parent = parID d[@X% AddOperation eID, op q<xCb%#Jl Print "Set lens thickness = " & tlens cM(:xv \(?rQg@U '************************************************************************* 'nzg6^I7g 'Lens index of refraction h]IxXP?h[ '************************************************************************* zqim R#u eID = FindMaterial( "Lens" ) Xb|:vr\v GetModelMaterial eID, mat LM:vsG K[I=6 mat.Nd = nlens 27eooY1 SetModelMaterial eID, mat a@_4PWzF: Print "Set lens index of refraction = " & nlens e(]!GA }*M6x;t '************************************************************************* <T` 7%$/E 'Pupil diameter xgwY@'GN '************************************************************************* X&tF;<m^ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) TH%Qhv\] Fco`^kql.D 'Adjust pupil diameter (trimming volume inner hole) Rvqq.I8aC -o^7r@6 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 5bRJS70M |XaIx#n ' Adjust pupil location to just in front of the lens pj\u9
L_ parID = FindFullName( "Geometry.Arizona Eye" ) ep!Rf: eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) h9t$Uz^N count = 0 pR*VdC _mY While GetOperationCount(eID)>count |U:k,YH GetOperation eID, count, op N H[kNi' If op.Type="ShiftZ" Then [`ebM,W DeleteOperation eID,count Z+*9#!?J count=count-1 !EvAB+`jLI End If u0JB\)(-/h count=count+1 :y'Ah# Wend W>${zVu op.Type = "ShiftZ" 5MroNr op.val1 = taq-0.01 ]i|h(>QWP op.parent = parID Gt\lFQ
AddOperation eID, op DwM)r7<Ex !{ y@od@T Print "Set pupil diameter = " & pupilDiam 2Z+Wu3# JB%',J 'Update AZ Eye subassembly Description GA$V0YQX eID = FindFullName( "Geometry.Arizona Eye" ) OSRp0G20k\ GetEntity eID, entity Y4J3-wK5 entity.Description = "Accommodation = " & A & "D" M,j U}yD3 SetEntity eID, entity +Zb;Vn4 $iN"9N%l Update 216 RiSr* Print "DONE!" )MtF23k)g 8EZ$g<} End Sub x)
,eI'mf 57'*w]4f 如果屈光度是4,光瞳直径是4,则会输出如下数据: G~F b EuEZ D+ Accommodation = 4 Diopters `
)/vq-9 Pupil Diameter = 4 mm ~k"=4j9 Set aqueous humor thickness = 2.81 ^7w+l @ Set anterior lens radius = 10.4 and conic constant = -2.375869 F8nYV Set posterior lens radius = -4.424557 and conic constant = -3.081019 @D]5c ivm_ Set lens thickness = 3.927 5[8xV%>; Set lens index of refraction = 1.42672 us1Hu) Set pupil diameter = 4 ZJnYIK DONE! _?-E7:Sw MR;1
2*p DEBB()6, QQ:2987619807 >
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