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简介 !~04^( lDe9(5|)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。 Wd_bDZQ 5,I'6$J
模型 z!)_'A !e&ZhtTuC 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 Z*.fSmT8) qw&Wfk\} Table 1. AZ眼睛模型的定义 iN0pYqY* 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. { >{|3 cn v4!c0 光源 l^:m!SA_ Km8btS]n 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 -_
.f&l8 ~KDx enj Ti5X 图1. 光源和提示信息使用 a)MjX<y 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 x6* {@J&5* I$\dT1m$ 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。 @j`_)Y\ |rH;}t|un 图2. 字母F光源的设定方法光 (Z=ziopDE C<r7d [ 图3. 字母F在视网膜上位置点列图 Z%D*2wm4 视网膜的散射 49bzHEqZ 8*6vX! Z| 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。 sVZb[|zSri -\6tVF11z Id
*Gs>4U 图4. 视网膜朗伯散射设定 >{~W" 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。 Ra'0 ^4t '(5 &Sj/C 5UVQ48aT 图5. 视网膜重点采样规格设定 8U/q3@EC 脚本 HDIB GG~ _YWw7q 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: sT[)r]`T RU,f|hB4 图6. 用户对话框的创建与编辑 Z_QSVH68A 图7. 用户对话框编辑器 k
sJz44 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。 XrYMv
WT 余下的脚本计算与屈光度有关的所有参数。
02Ur'| T [N:X0 分析 >T%Jlj3ZG @X>k@M 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 i5?)E7- X1]&j2WR 图7. 字母F在视网膜上颜色分析 $)mq 脚本代码 5z~Ji77! p/:)Z_ Option Explicit 'Remove this to enable non-dimensioned variables to be used. VQZ3&]o N6c']!aM@ Dim entity As T_ENTITY = Dim op As T_OPERATION ;DL|%-%;$r Dim mat As T_MODELMATERIAL ?1xBhKq Dim A As Double n&iWYECz Dim pupilDiam As Double 6dV@.(][a Dim eID As Long o{4ya jt Dim parID As Long l,1 }1{k& Dim count As Integer *qAF# Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double )F0_V
4 Dim tlens As Double, nlens As Double >MUwT$szs Dim curv As Double, conic As Double `.
/[/z-g Dim ok As Long [@"H2#CQ 'd]9u9u Sub Main r62x*?/ Hig=PG5I '用户输入对话框 79~,KFct Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 >a%NC'~rc TextBox 220,21,40,21,.TextBox1 'default: 0 UG s
<< Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ~=Z&l OKButton 40,91,90,21 0Tp?ED_ CancelButton 190,91,90,21 O4@Ki4f3A% Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 G-G!c2o TextBox 220,49,40,21,.TextBox2 'default: 4 "z69jxXo End Dialog xp7,0'(; Dim dlg As UserDialog iVd*62$@$ f?dNTfQ3mi ok = Dialog (dlg) T$06DS weT33O"!1 If ok=0 Then 'cancel button was pressed MfJk`-%~ Print "Execution cancelled." +>.plvZhu End X;w1@4! End If % rdW: L4zSro:Si 'Assign accommodation and pupil diameter & use defaults if field left empty ?#qA>:2, If dlg.TextBox1 = "" Then @~ N:F~ A = 0 'Default accommodation UY5ia4_D Else ~B:Lai4" A = CDbl(dlg.TextBox1) F]
+t/ End If 9HLn_|yU YdV5\! If dlg.TextBox2 = "" Then 5u:+hB pupilDiam = 4 'Default pupil diameter ,M>W) TSH Else $9y]>R pupilDiam = CDbl(dlg.TextBox2) s2@N&7"u) End If o2W pi bFVz ; Print " " s Ce7ni Print "Accommodation = " & A & " Diopters" =gGK24 3 Print "Pupil Diameter = " & pupilDiam & " mm" x1/Usupi C@buewk ' Calculate new parameters with accommodation l'W?X ' taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness x~$P.X7(~ $sU?VA'h Rant = 12.0 - 0.4*A 'Radius of anterior lens ";`ddN3 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens )3.udx 9*[!uu Rpost = -5.224557 + 0.2*A 'Radius of posterior lens !#rZeDmw CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 7V 4iPx RT9fp(6* tlens = 3.767 + 0.04*A 'Lens thickness X-3L4@T:? T)3#U8sT nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ,ZD!Qb vn
.wM 'Adjust parameters to account for accommodation 0+/L?J3 #Jy+:|jJ '************************************************************************* D?}LKs[ 'Aqueous thickness (Position of Lens) <!y_L5S| '************************************************************************* /Or76kE eID = FindFullName( "Geometry.Arizona Eye.Lens" ) J%aW^+O GetCustomElement eID, entity
3cT Yl&eeM parID = FindFullName( "Geometry.Arizona Eye" ) UldK lQ8 IqfR`iAix ' Delete any shift(s) in z *7ap[YXZ\w count = 0 agBKp! While GetOperationCount(eID)>count A!Ng@r GetOperation eID, count, op xE9^4-Px* If op.Type="ShiftZ" Then *B#OLx DeleteOperation eID,count &VR<'^> count=count-1 5irewh'R End If 5;`([oX|_ count=count+1 klT6?'S Wend \Y>^L{ Lg9]kpOpa 'Set new shift in bkmX@+Pe op.Type = "ShiftZ" q1r\60M op.val1 = taq `gfK#0x# op.parent = parID 4yQ4lU,r AddOperation eID, op j[iJo
5 Print "Set aqueous humor thickness = " & taq-0.55 7; TS ,{J2i#g< '************************************************************************* ;f?OT7>kN 'Radius and conic constant of anterior lens O5_E"um '************************************************************************* m( B6FPjr eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ~>>o'H6 GetConic eID, entity, curv, conic Z'S>i*Ts
jd]MC*% SetConic eID, entity, 1/Rant, CCant WVy"MD Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant fN0D\Mu!)b F:hJ^:BP '************************************************************************* ?B@hCd) 'Radius and conic constant of posterior lens J#Bz)WmR '************************************************************************* #kLM=a/_NO eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) i;6\tK"! GetConic eID, entity, curv, conic oWs&W d@C ;rzR SetConic eID, entity, 1/Rpost, CCpost /I[cj3}{+f Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost @m6pAo4P :".!6~:2 '************************************************************************* O-|RPW} 'Lens thickness (Position of posterior lens surface) YV!!bI '************************************************************************* %{zM> le9 _'2r=a#` parID = FindFullName( "Geometry.Arizona Eye.Lens" ) :JW~$4 kwWO1=ikz@ ' Delete any z-shift(s) &+&^Hc count = 0 s15f <sp While GetOperationCount(eID)>count /V7u0y GetOperation eID, count, op w\$b(HC If op.Type="ShiftZ" Then ^,U&v; DeleteOperation eID,count b<=K@I.= count=count-1 dN\pe@#lKP End If
9FWn count=count+1 |
@di<d@ Wend
[POy"O 1/HPcCsHb 'Set new z-shift Ig N,]y op.Type = "ShiftZ" p,kJ# I op.val1 = tlens M{~eI op.parent = parID V#3VRh AddOperation eID, op zYls>fbp, Print "Set lens thickness = " & tlens Bm~>w`1wK ?KS9Dh '************************************************************************* fC~WuG3 'Lens index of refraction w`!Yr:dU '************************************************************************* f3v/Y5) eID = FindMaterial( "Lens" ) D+ jk0*bJ GetModelMaterial eID, mat
0;k3 0&5}[9?V' mat.Nd = nlens 'JkK0a2D SetModelMaterial eID, mat d%]7: Print "Set lens index of refraction = " & nlens R^PQ`$W 'R ~_S`zzcZy4 '************************************************************************* V!ajD!00 'Pupil diameter 78 UT]<Q;K '************************************************************************* &TK% igL eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) j$8~M 5R o5Cg~ 'Adjust pupil diameter (trimming volume inner hole) 9oGsrClH 0_&oMPY SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" m m`:ci Crww\#E; ' Adjust pupil location to just in front of the lens JVXBm] parID = FindFullName( "Geometry.Arizona Eye" ) }>tUkXlhJ< eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) { ET+V count = 0 `8'|g8,wb0 While GetOperationCount(eID)>count &JF^a GetOperation eID, count, op B<0lif| If op.Type="ShiftZ" Then DORFK DeleteOperation eID,count Z ,T TI>P count=count-1 %/sf#8^m End If nY~CAo/: count=count+1 cFH,fj Wend [9>1e op.Type = "ShiftZ" xNm<` Y? op.val1 = taq-0.01 yq&]>ox op.parent = parID H:~LL0Md% AddOperation eID, op +, PBhB ){ wE)NN Print "Set pupil diameter = " & pupilDiam 1miTE4;? ;OVJM
qg 'Update AZ Eye subassembly Description nR
,j1IUF eID = FindFullName( "Geometry.Arizona Eye" ) Ad`;O+/; GetEntity eID, entity w>m/c1 entity.Description = "Accommodation = " & A & "D" g(<@r2p SetEntity eID, entity Xw![}L> *_^AK=i Update 0}w>8L7i{ Print "DONE!" .|o7YTcR: dc:|)bK
M End Sub o3uv"#
C P/ug' 如果屈光度是4,光瞳直径是4,则会输出如下数据: ?MN?.O9- "lUw{3 Accommodation = 4 Diopters &d6'$h:kHb Pupil Diameter = 4 mm ,AM6E63 Set aqueous humor thickness = 2.81 .Mm8\]. Set anterior lens radius = 10.4 and conic constant = -2.375869 N4$0ptz#}G Set posterior lens radius = -4.424557 and conic constant = -3.081019 &z,w0FOre Set lens thickness = 3.927 [81k4kU Set lens index of refraction = 1.42672 1Z*-@%RX Set pupil diameter = 4 >Y[{m $- DONE! RAxA H
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