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简介 C hQ] d 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。 Ma'#5)D `W >Sss 模型 m68>` d[{!^,%x" 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。 M&jlUr&l x=Aq5*A0 Table 1. AZ眼睛模型的定义 A/"<o5(T(P 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. ?@z/#3b !PA ><F 光源 !>"fDz<w` k*u6'IKi.4 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。 _s+G02/q1 diNAT`|?# b9ud8wLE[ 图1. 光源和提示信息使用 GKbbwT0T| 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。 0K6My4d{ JljCI@ 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。 .hM t:BMf* kdWUz( 图2. 字母F光源的设定方法光 #1C]ZV] B w=CzPNRHH! 图3. 字母F在视网膜上位置点列图 c5| sda{ 视网膜的散射 Y]=k"]:% &qK:LHhj 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。 jU kxA7 }} n!.=05OtX c3Gy1#f:#2 图4. 视网膜朗伯散射设定 A|,qjiEJCc 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。 W"*2,R[}% $hHV Ie]+ CPL,QVO9 图5. 视网膜重点采样规格设定 b\KbF/T 脚本 mo3A *|U |d z2Drc 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: BG8/ 1hlU
6=Y 图6. 用户对话框的创建与编辑 ?:M4GY"gV 图7. 用户对话框编辑器 <[D>[ 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。 w[D]\>QHa 余下的脚本计算与屈光度有关的所有参数。 Mvue>)g~> '!ks $}$`h 分析 ~#4FL<W BVj(Q}f8 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 9pPLOXr , *Wvk~ 图7. 字母F在视网膜上颜色分析 :8j7}' 脚本代码 L&y"oAp< ?G,gPb Option Explicit 'Remove this to enable non-dimensioned variables to be used. \EU^`o+ x@QNMK.7 Dim entity As T_ENTITY #Q)r6V: Dim op As T_OPERATION ~ +>ehU Dim mat As T_MODELMATERIAL \K~wsu/?` Dim A As Double dHTx^1 Dim pupilDiam As Double ;2\6U; Dim eID As Long J^ewG Dim parID As Long SASLeGaV Dim count As Integer TTFs|T6`q Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 5y 5Dn!` Dim tlens As Double, nlens As Double *Ow2,{Nn Dim curv As Double, conic As Double :F@Uq<~( Dim ok As Long W1M322]>L {l5fKVb\C Sub Main 0MroHFh9` @&EIH,c '用户输入对话框 xp'Q>%v Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 !zx8I7e4 TextBox 220,21,40,21,.TextBox1 'default: 0 mNacLkh[ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 0^dYu/i5 OKButton 40,91,90,21 \>pm (gF CancelButton 190,91,90,21 oQ,<Yx%E3 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 H8[A*uYL
TextBox 220,49,40,21,.TextBox2 'default: 4 'Etq;^H End Dialog 7n.Oem Dim dlg As UserDialog <qpzs@ ppNMXbXR ok = Dialog (dlg) Eyjsbj8 dr}PjwW% If ok=0 Then 'cancel button was pressed GM'yOJo Print "Execution cancelled." K)wWqC. End T]Ai{@i End If !&hqj$>-} J{prI;]K 'Assign accommodation and pupil diameter & use defaults if field left empty <$zhNu~ If dlg.TextBox1 = "" Then !OY}`a(z A = 0 'Default accommodation ![_0GFbT Else MjQju@ A = CDbl(dlg.TextBox1) pvUV5^B(M End If w(aHB8T hL6;n*S= If dlg.TextBox2 = "" Then h*C!b?:" pupilDiam = 4 'Default pupil diameter Vc;[ 0iB Else :o{,F7(P pupilDiam = CDbl(dlg.TextBox2) isd-b]@:Lc End If ^}p##7t[ -5 PVWL\ Print " " 'UWkJ2:! Print "Accommodation = " & A & " Diopters" c+e?xXCEAz Print "Pupil Diameter = " & pupilDiam & " mm" 5!fYTo|G> 1<73uR&b% ' Calculate new parameters with accommodation oV0 45G taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness .4[3r[ K _YOp1 Rant = 12.0 - 0.4*A 'Radius of anterior lens -ycYQ~R CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens QwWd"Of t~j6w sx; Rpost = -5.224557 + 0.2*A 'Radius of posterior lens UAhWJ$(C CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 6{]F#ig= @}g3\xLiK tlens = 3.767 + 0.04*A 'Lens thickness fxPg"R!1i 3MNM<Ih nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction 4xmJQ>/ 8I/3T 'Adjust parameters to account for accommodation ,P`NtTN- 5X)M)"rq;V '************************************************************************* wCNn/%C 'Aqueous thickness (Position of Lens) 2I }p X9 '************************************************************************* v{ >3)$1 eID = FindFullName( "Geometry.Arizona Eye.Lens" ) mLZ1u\7W GetCustomElement eID, entity ga%\n!S (vZ-0Ep} parID = FindFullName( "Geometry.Arizona Eye" ) )^{}ov 'Tjvq%ks ' Delete any shift(s) in z xt?-X%oY8 count = 0 X'PZCg W While GetOperationCount(eID)>count zvdut ,6< GetOperation eID, count, op 4-x<^
ev= If op.Type="ShiftZ" Then d2#NRqgQ DeleteOperation eID,count cZ:jht count=count-1 %5gdLm!p End If j@z IJ count=count+1 Mww ^ Wend /Rq\Mgb >pfeP"[(3 'Set new shift in K9k!P8Rd op.Type = "ShiftZ" ~ h3G}EH op.val1 = taq {V
QGfN op.parent = parID ]A=\P,D AddOperation eID, op OA3J(4!"W Print "Set aqueous humor thickness = " & taq-0.55 CZ3oX#b T\}U{9ELL '************************************************************************* T[|#DMg$F 'Radius and conic constant of anterior lens tjx8UgSi '************************************************************************* WDIin6u- eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) k9rws GetConic eID, entity, curv, conic .u&xo{$'dS kPs? SetConic eID, entity, 1/Rant, CCant )C8^'*! Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant c}qpmW F /\/^= j '************************************************************************* iX+8!>Q 'Radius and conic constant of posterior lens bzNnEH`^] '************************************************************************* Z2$_9. eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) <x^$Fu GetConic eID, entity, curv, conic jDY
B*Y^F U~:H> SetConic eID, entity, 1/Rpost, CCpost F0U %m Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost TI7$J# 1z6aMd6. '************************************************************************* KNAvLcg 'Lens thickness (Position of posterior lens surface) N3L$"g5^ '************************************************************************* @ar%`+_ f1_; da parID = FindFullName( "Geometry.Arizona Eye.Lens" ) c6xr[tc% (WT\HR ' Delete any z-shift(s) kuH%aM<R count = 0 ML12&E> While GetOperationCount(eID)>count 3$!QP
N GetOperation eID, count, op ,IPt4EH$ If op.Type="ShiftZ" Then Ww-x+U\l DeleteOperation eID,count g9pKoi|\E count=count-1 F6q=W#~ End If I3nE]OcW@ count=count+1 >j=ZB3yZ Wend ]%6%rq%9C .4CDQ&B0K 'Set new z-shift oDA'$]UL op.Type = "ShiftZ" 3HrG^/ op.val1 = tlens l7VO8p]y[R op.parent = parID !.j{vvQ/ AddOperation eID, op F|F0#HC ? Print "Set lens thickness = " & tlens s9wzN6re e` 4mrBtz| '************************************************************************* %HG+|)b 'Lens index of refraction e#;43=/Ia '************************************************************************* gtuSJ+up eID = FindMaterial( "Lens" ) -w"I GetModelMaterial eID, mat LLTr+@lj swj\X,{ mat.Nd = nlens Dr.eos4 ~ SetModelMaterial eID, mat @o0HDS Print "Set lens index of refraction = " & nlens 1!1JT;gG^9 jv~#'=T' '************************************************************************* ExO#V9DaW 'Pupil diameter |-=-/u1 '************************************************************************* jI8`trD eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) mx}5":} K` N$nOw 'Adjust pupil diameter (trimming volume inner hole) P}Ig6^[m\ g&g:HH: SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" viG= Ap.Th W@AHE?s6g ' Adjust pupil location to just in front of the lens h/\v+xiF parID = FindFullName( "Geometry.Arizona Eye" ) VjWJx^ZL# eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ^N<aHFF count = 0 [s^pP2 While GetOperationCount(eID)>count e W8cI)wU GetOperation eID, count, op .$-;`&0cZ If op.Type="ShiftZ" Then 9mDdX DeleteOperation eID,count @M\JzV4 A[ count=count-1 ]#M"|iTR End If GcRH$,<XG count=count+1 DL,R~ Wend z!6_u@^- op.Type = "ShiftZ" I '0[ op.val1 = taq-0.01 X{#^O/ op.parent = parID \/1~5mQ+ AddOperation eID, op oX)a6FXK> .'M.yE~5J Print "Set pupil diameter = " & pupilDiam 2Di~}* 9& AIOGa<^ 'Update AZ Eye subassembly Description |iJz[% eID = FindFullName( "Geometry.Arizona Eye" ) Q)aoc.f!v GetEntity eID, entity ^iEf"r entity.Description = "Accommodation = " & A & "D" ! =21K0~t# SetEntity eID, entity +iN!$zF5] )q'dX+4=eL Update {@KLN< Print "DONE!" qsp3G7\'= TgV-U End Sub A&1EOQ=N EO+Ix7w 如果屈光度是4,光瞳直径是4,则会输出如下数据: FiQ&g*=| 6'*6tS Accommodation = 4 Diopters @GAj%MK$ Pupil Diameter = 4 mm JL_(%._J Set aqueous humor thickness = 2.81 T|\sN*}\8J Set anterior lens radius = 10.4 and conic constant = -2.375869 1N _"Mm{ Set posterior lens radius = -4.424557 and conic constant = -3.081019 d
>L8SL Set lens thickness = 3.927 ,Z|O y|+' Set lens index of refraction = 1.42672 0*:n<T9 Set pupil diameter = 4 &S.p%Qe" DONE! {!(
htg; WuVsW3@ (文章来源:讯技光电)
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