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简介 ~'{VaYk]v 8<c'x]~ 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。 D-D# ` ==` Pb 模型 #G~wE*VR$ tvCcyD%w 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。 f}blB?e `#p< rfe Table 1. AZ眼睛模型的定义 <M305BH 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. 23k)X"5 5\3 swP_7 光源 E4Zxv* `GS cRhbh 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。 '}CN?f|. l.uN$B ->3uOF!q 图1. 光源和提示信息使用 bq: [Nj 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 ;t~*F#p(! h,~tXj 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 0}D-KvjyP }pKv. 图2. 字母F光源的设定方法光 ajGcKyj8i nfa_8 图3. 字母F在视网膜上位置点列图 0W_mCV 视网膜的散射 C$t.C
rxx @o60c 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。 [bsXF# U Q)!|@& .Nk}Z9L]k 图4. 视网膜朗伯散射设定 %fBP:5%K 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。 r(]98a]o~ m|lM.]2_ nPcxknl(pd 图5. 视网膜重点采样规格设定 dDo6fP2 脚本 _TrZ'iL}T <5M_EJp 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: B_!wutV@ aDN.gMS 图6. 用户对话框的创建与编辑 D(!;V
KH 图7. 用户对话框编辑器 X:U=MWc> 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。 "~_$T@^k> 余下的脚本计算与屈光度有关的所有参数。 3Fgz)*Gu] o>.AdZby 分析 WejyYqr34- 4`$5
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j! 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 gt~9"I [;*\P\Xih 图7. 字母F在视网膜上颜色分析 ftxTX3X 脚本代码 'frWu6]<
4 ~m!#FTc* Option Explicit 'Remove this to enable non-dimensioned variables to be used. 7&h\l6}Yh z1kBNOr Dim entity As T_ENTITY (VfwLo># Dim op As T_OPERATION -Sx0qi'% Dim mat As T_MODELMATERIAL l},dQ4R Dim A As Double Ndo}Tk! Dim pupilDiam As Double eU`;L[ Dim eID As Long )4@M`8 Dim parID As Long &ycjSBK Dim count As Integer Kq$:\B)<c Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double j,\tejl1 Dim tlens As Double, nlens As Double Wa(W&] Dim curv As Double, conic As Double KuIkul9^% Dim ok As Long [?A&xqO3 $|rCrak; Sub Main =n)JJS94 s;anP0-O '用户输入对话框 AbL5 !' Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 w8G7Jy TextBox 220,21,40,21,.TextBox1 'default: 0 :wFb5" Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ejP,29 OKButton 40,91,90,21 1]"D%U= CancelButton 190,91,90,21 H3!,d`D.N Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 pi|\0lH6W TextBox 220,49,40,21,.TextBox2 'default: 4 52da]BW< End Dialog ,<7"K& Dim dlg As UserDialog f+{c1fb>s qi(&8in ok = Dialog (dlg) 2=jd;2~ @mvIt If ok=0 Then 'cancel button was pressed hT.4t,wa8 Print "Execution cancelled." f;e_04K End )ZQHa7V End If JtSuD>H`" @m5O{[euj< 'Assign accommodation and pupil diameter & use defaults if field left empty S4;wa6 If dlg.TextBox1 = "" Then i:C.8hmAE A = 0 'Default accommodation
-PcS( Else -FQC9~rR;g A = CDbl(dlg.TextBox1) %=laY_y
G End If W,xi>5k ll^Th > If dlg.TextBox2 = "" Then r3n=<l!Jr pupilDiam = 4 'Default pupil diameter =9kj?
u~
Else es.jh pupilDiam = CDbl(dlg.TextBox2) s;vWR^Ll End If P
h9Hg' VI(RT-S6 Print " " kEp.0wL' Print "Accommodation = " & A & " Diopters" ,h3269$J Print "Pupil Diameter = " & pupilDiam & " mm" OG0r4^6Ly co
\[{}} ' Calculate new parameters with accommodation K#_~
!C4L taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness b{Z^)u2X xR\D(FLVS Rant = 12.0 - 0.4*A 'Radius of anterior lens
m"96:v CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens WAtg }@3Ud'
Y Rpost = -5.224557 + 0.2*A 'Radius of posterior lens jjJc1 p0 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens xnJjCEZ j)g_*\tQ tlens = 3.767 + 0.04*A 'Lens thickness C!oS=qK?] pWWL{@ J nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction }wvwZ`5t 2z'+1+B' 'Adjust parameters to account for accommodation *LY~l aO~si= '************************************************************************* 8
m%>:}o 'Aqueous thickness (Position of Lens) h$E\2lsE '************************************************************************* kWzuz# eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ap Fs UsE GetCustomElement eID, entity yw;ghP; '"!z$i~G= parID = FindFullName( "Geometry.Arizona Eye" ) "6NFe!/Y$* _fczE~O/ ' Delete any shift(s) in z 4^d+l.F count = 0 1x~%Ydy While GetOperationCount(eID)>count b:N^Fe GetOperation eID, count, op ?b!CV
If op.Type="ShiftZ" Then bBkm]
> DeleteOperation eID,count [W^6u7~ count=count-1 \>*MMe End If 'Qm` A= count=count+1 u=p ;A1oy Wend aukk|/3Ih Z!C`f/h9 'Set new shift in 2ApDpH`fiJ op.Type = "ShiftZ" +-Z"H) op.val1 = taq *u|lmALs op.parent = parID Cfv L)f AddOperation eID, op v#Cz&j Print "Set aqueous humor thickness = " & taq-0.55 {-xi0D/Y; Y9IJ '************************************************************************* t9Enk!@ 'Radius and conic constant of anterior lens ikEWY_1Y '************************************************************************* ua]\xBWx eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 5}.,"Fbr GetConic eID, entity, curv, conic )LXoey!aZ N0y;PVAGu SetConic eID, entity, 1/Rant, CCant "E@NZ*"u Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant KuIt[oM _aXP
;kFMi '************************************************************************* 1kB'sc3N! 'Radius and conic constant of posterior lens Yv#J`b@y '************************************************************************* ]y1$F
Ir+ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) s)=!2A Y GetConic eID, entity, curv, conic l>3M|js@/ )0Y #-=.< SetConic eID, entity, 1/Rpost, CCpost mhHA!:Y Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost Z^/z G"T;l"TAt8 '************************************************************************* dCf'\@<< 'Lens thickness (Position of posterior lens surface)
D\45l '************************************************************************* H{ n>KZ]\ &y#\1K parID = FindFullName( "Geometry.Arizona Eye.Lens" ) I2t-D1X !#,- ' Delete any z-shift(s) B|]t\(~$[ count = 0 7AGZu?1]M While GetOperationCount(eID)>count [M7iJcwt GetOperation eID, count, op pz*/4 If op.Type="ShiftZ" Then Jf%!I DeleteOperation eID,count dvg; count=count-1 mr{k>Un\ End If ;w>3,ub(0 count=count+1 hQg,#r(JE4 Wend ~cO?S2!W ])Q9=?Sd} 'Set new z-shift O Ey:#9<' op.Type = "ShiftZ" _g^K$+F'} op.val1 = tlens {a+Fx}W op.parent = parID 2R_opbw AddOperation eID, op K]H"qG.K Print "Set lens thickness = " & tlens 3<KZ.hr G:h;C].
'************************************************************************* \jF" nl 'Lens index of refraction KV^:sxU '************************************************************************* 7})!>p ) eID = FindMaterial( "Lens" ) IEIxjek GetModelMaterial eID, mat .v
#0cQX+. jt'Y(u]2 mat.Nd = nlens V:,3OLL* SetModelMaterial eID, mat ,%)WT> Print "Set lens index of refraction = " & nlens WQIM2_=M @,yFY '************************************************************************* eu}:Wg2 'Pupil diameter ?j&~vy= T '************************************************************************* ?FY@fO?es eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 26('V `N 0btmao- 'Adjust pupil diameter (trimming volume inner hole) -tK;RQYax "EOk^1,y SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" m5'__< Q?Bjq> ' Adjust pupil location to just in front of the lens )<}VP&:X parID = FindFullName( "Geometry.Arizona Eye" ) .=b
+O~ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) XqE55Jclp count = 0 >PTu*6Z While GetOperationCount(eID)>count d 40'3]/{ GetOperation eID, count, op T|BY00Sz` If op.Type="ShiftZ" Then IJ
#v"! D DeleteOperation eID,count cOZajC<G count=count-1 \J3v>&m<7 End If ys.!S.k+ count=count+1 %`s9yRk9>E Wend dp// p)B> op.Type = "ShiftZ" \fM!^ op.val1 = taq-0.01 V %{9o op.parent = parID 5EV8zf AddOperation eID, op e$/Zb`k 2\z`G Print "Set pupil diameter = " & pupilDiam W"}*Q-8W )qe$rD;N 'Update AZ Eye subassembly Description soQv?4 eID = FindFullName( "Geometry.Arizona Eye" ) H,4,~lv| GetEntity eID, entity K&Wv.}=V entity.Description = "Accommodation = " & A & "D" e~2*>5\: SetEntity eID, entity ZZFI\o zOu$H[ Update M*T# 5 Print "DONE!" *2m&?,nJ !3X%5=#L4 End Sub v;F+fOo /J9T=N 如果屈光度是4,光瞳直径是4,则会输出如下数据: 0R%uVJG bbPd&7 Accommodation = 4 Diopters 7"CH\*% Pupil Diameter = 4 mm ! 4^L $ Set aqueous humor thickness = 2.81 q2j}64o_S Set anterior lens radius = 10.4 and conic constant = -2.375869 @=zBF'<.9 Set posterior lens radius = -4.424557 and conic constant = -3.081019 Kj<<&_B.H Set lens thickness = 3.927 [%)B%h`XGf Set lens index of refraction = 1.42672 {;z
L[AgCg Set pupil diameter = 4 ae(]9 VW DONE! @SQ*/sw (c
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