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简介 LyH1tF rld8hFj 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。 4-m6e$p; {B-*w%}HU 模型 lFl(Sww!\ LwYWgT\e 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 `I.pwst8i- s }Ql9 Table 1. AZ眼睛模型的定义 }i{A4f` 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. EpH_v` 3$ wK*xK 光源
RdBIbm J6Vx7 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。 }O Y/0p-Z pX+4B=* UmR4zGM} 图1. 光源和提示信息使用 F3hG8YX 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。 _n1[(I 9dmoB_G 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。 ,x$^^ T'{9!By,P 图2. 字母F光源的设定方法光 =f!clhO Y_K W9T_ 图3. 字母F在视网膜上位置点列图 Ec2;?pvd%J 视网膜的散射 DD2K>1A1 pH3<QNq5 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。 Z&O6<=bg! C;j&Vbf IVY)pS"pR" 图4. 视网膜朗伯散射设定 Re&"Q8I.8 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。 v&bG`\ ! Evd|_ W- (zh[1[a 图5. 视网膜重点采样规格设定 HItNd 脚本 @S=9@3m{w; f,4erTBH 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: 6tFi\,)E $1g1Bn 图6. 用户对话框的创建与编辑 Vd(n2JMtG 图7. 用户对话框编辑器 J\P6 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 2,wwI<=E' 余下的脚本计算与屈光度有关的所有参数。 ()48> || aCI3Tx&2qT 分析 'NZ=DSGIy *~>p;* 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 T;?k]4.X 1X&.po 图7. 字母F在视网膜上颜色分析 :eSsqt9]9 脚本代码 2j}DI"|h *mVg_Kl Option Explicit 'Remove this to enable non-dimensioned variables to be used. H>A6VDu 4(8trD6 Dim entity As T_ENTITY /0 4US5En Dim op As T_OPERATION =MMd& Dim mat As T_MODELMATERIAL g4eW< Dim A As Double 6y~F'/ww Dim pupilDiam As Double )Qd
x Dim eID As Long Mx$&{.LFJ Dim parID As Long W"^ =RY Dim count As Integer ~7 U~ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double fum.G{} Dim tlens As Double, nlens As Double T4HJy| Dim curv As Double, conic As Double a5GLbanF Dim ok As Long EG;E !0 3TH?7wi Sub Main r`.N? P/girce0 '用户输入对话框 ZGDT
6, Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 Rh?bBAn8 TextBox 220,21,40,21,.TextBox1 'default: 0 tw>2<zmSi% Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 EgU#r@7I OKButton 40,91,90,21 u;gO+)wqv CancelButton 190,91,90,21 Z sTtSM\Ac Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 z8'1R6nq TextBox 220,49,40,21,.TextBox2 'default: 4 Iz5NA0[=2 End Dialog >
:IWRc2 Dim dlg As UserDialog {VL@U$'oI >
'hM"4f ok = Dialog (dlg) Pps-,*m R2gV(L(!! If ok=0 Then 'cancel button was pressed %^pi Print "Execution cancelled." RHg-Cg` End ]mb8R:a1 End If ]MV8rC[\ `daqzn 'Assign accommodation and pupil diameter & use defaults if field left empty $Sgf jm If dlg.TextBox1 = "" Then o^\Pt<~W A = 0 'Default accommodation \ph.c*c Else fq]PKLW' A = CDbl(dlg.TextBox1) *iEtXv End If lGl'A}]#$ 4=xi)qF/@ If dlg.TextBox2 = "" Then >F7w]XH pupilDiam = 4 'Default pupil diameter `X6JZxGyd Else Aw |;C pupilDiam = CDbl(dlg.TextBox2) GWnIy6TH l End If 6!ve6ZB[p H<Oo./8+ Print " " /Hyz]46 Print "Accommodation = " & A & " Diopters" Sw\*$g] Print "Pupil Diameter = " & pupilDiam & " mm" ViPC Yt`of DH-M|~.sf^ ' Calculate new parameters with accommodation sQvRupYRO taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness (Q^sK\ hMDd*<%l Rant = 12.0 - 0.4*A 'Radius of anterior lens <Ep L<K% CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens bf"'xn9 2Wz8E2. Rpost = -5.224557 + 0.2*A 'Radius of posterior lens a /sj W CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens G^~[|a4` ^dHQ<L3.* tlens = 3.767 + 0.04*A 'Lens thickness gBm'9|? PgWWa*Ew nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction Q +^& !Rn6x
$_ 'Adjust parameters to account for accommodation Ae+)RBpc `Vb '************************************************************************* Nr~$i% [ 'Aqueous thickness (Position of Lens) c=oDzAzuV\ '************************************************************************* cz>,sz~i eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 2 |s ohF GetCustomElement eID, entity I,j4 BU4 5i!Q55Yv=, parID = FindFullName( "Geometry.Arizona Eye" ) WQK<z!W5 z8Q!~NN-K ' Delete any shift(s) in z $YL9 vJV count = 0 ~~tTr$ While GetOperationCount(eID)>count ~t`^|cr| GetOperation eID, count, op LL^KZ- If op.Type="ShiftZ" Then 5p;AON DeleteOperation eID,count K,E/.Qe\C count=count-1 .+9hm| End If Dqx#i-L23 count=count+1 SB_Tzp Wend tIsWPt]Y w,LtQhQ 'Set new shift in :Ha/^cC/3 op.Type = "ShiftZ" z M9#1^X op.val1 = taq 06&J!,p
: op.parent = parID Q`ua9oIJ= AddOperation eID, op I"07x'Ahq3 Print "Set aqueous humor thickness = " & taq-0.55 'wND lvs
XL '************************************************************************* XE}gl&\ 'Radius and conic constant of anterior lens > H!sD\b '************************************************************************* ;H_/o+ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ZZw`8 E GetConic eID, entity, curv, conic e~o!Qm M";qo6 SetConic eID, entity, 1/Rant, CCant e7vm3<m4 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant _C?j\Wy M tN>5k c '************************************************************************* J1?;' 'Radius and conic constant of posterior lens {i5?R,a) '************************************************************************* TR"C<&y$j eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) gq+SM
i= GetConic eID, entity, curv, conic :RaQ
=C Ot=jwvw SetConic eID, entity, 1/Rpost, CCpost zC?'Qiuh* Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost {keZ_2 OxlA)$.hpu '************************************************************************* (m~>W"x/ 'Lens thickness (Position of posterior lens surface) 88g3<& '************************************************************************* jk AjYR . &OMlW_FHR parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Wh[QR-7Ew 44]s`QyG ' Delete any z-shift(s) =$>=EBH,cm count = 0 `KJ(. m While GetOperationCount(eID)>count mzgt>Qtkz= GetOperation eID, count, op H?$dnwR If op.Type="ShiftZ" Then !ifU}qFzK DeleteOperation eID,count &qv~)ZM$ count=count-1 ZlT }cA/n End If ,/;Aew; count=count+1 wq)*bIv Wend 9^gYy&+>6] pwFp<O" 'Set new z-shift qt"D!S_ op.Type = "ShiftZ" =7Ln&tZ op.val1 = tlens ?w3RqF@} op.parent = parID peQwH AddOperation eID, op L\:|95Yq Print "Set lens thickness = " & tlens K9!HW&?<| L*@`i ]jl '************************************************************************* xL}i9ozZ 'Lens index of refraction &?<uR)tl '************************************************************************* LC%ococ eID = FindMaterial( "Lens" ) c4JV~VS+ GetModelMaterial eID, mat ^Hd[+vAvR LGP"S5V mat.Nd = nlens ;kFD769DLw SetModelMaterial eID, mat 5mH[|_ Print "Set lens index of refraction = " & nlens { 3G L9GLjRp- '************************************************************************* .<x6U*)\O
'Pupil diameter p{f R$-d '************************************************************************* Y(Q
0m|3P eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 2d)Dhxzxk |'^s3i&w 'Adjust pupil diameter (trimming volume inner hole) #'L<7t
K _N DQ2O SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 5`;SI36" Kv_2=]H ' Adjust pupil location to just in front of the lens Gh;\"Qx parID = FindFullName( "Geometry.Arizona Eye" ) Fmk:[hMw eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) i:lc]B count = 0 $)lkiA&; While GetOperationCount(eID)>count +^.Yt0} GetOperation eID, count, op ^q7V%{54 If op.Type="ShiftZ" Then +! 1_Mt6 DeleteOperation eID,count oD)x\ )t8 count=count-1 byHc0ktI\ End If E`HoJhB count=count+1 c%&,(NJ]K Wend m\:^9A4HCg op.Type = "ShiftZ" ^e:z ul{;] op.val1 = taq-0.01
hkK>h op.parent = parID -@v^. @[Z& AddOperation eID, op uGU2 ak(s@@k Print "Set pupil diameter = " & pupilDiam eG=d)`.JaV .N(R~_ 'Update AZ Eye subassembly Description L+t
/
E` eID = FindFullName( "Geometry.Arizona Eye" ) ($di]lbsT GetEntity eID, entity JrP`u4f_ entity.Description = "Accommodation = " & A & "D" m&)/>'W SetEntity eID, entity
Xdvd\H= ;-d b/$O Update {^]qaQ[5N Print "DONE!" }m:paB"3 7@ym:6Y+] End Sub N,`@Q7 "4b{YWv 如果屈光度是4,光瞳直径是4,则会输出如下数据: 5'!fi]Z z)Rkd0/X Accommodation = 4 Diopters Kz'GAm\ Pupil Diameter = 4 mm ZCCCuB Set aqueous humor thickness = 2.81 D#GuF~-F!R Set anterior lens radius = 10.4 and conic constant = -2.375869 vo/x`F'ib Set posterior lens radius = -4.424557 and conic constant = -3.081019 kQ\GVI11? Set lens thickness = 3.927 >+O0W)g{o Set lens index of refraction = 1.42672 ~WrpJjI[ Set pupil diameter = 4 l)r\SE1 DONE! ~d*Q{v~3
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