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简介 (Q%'N3gk -QOw8vm 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。 _7IKzUn9g[ P8^hBv* 模型 zXv3:uRp. :>D[n1v 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。 bA\<.d p[<Dk$7K Table 1. AZ眼睛模型的定义 t<~ $ 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. 6fd+Q
/ v3}L`dyh3 光源 vJ\pR~? }| J79s2M 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。 70f Klp r) $+ ^xh}I5 图1. 光源和提示信息使用 5m?8yT} 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 <@}I0 }
@K FB 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 A3B56K Mu{;vf|j 图2. 字母F光源的设定方法光 ?_"+^R z bx]N>k J 图3. 字母F在视网膜上位置点列图 S:TgFt0 视网膜的散射 w=LP"bqlI f 1w~!O9 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 2>86oP& '~ ,p[ 66.5QD0 图4. 视网膜朗伯散射设定 eFpTW&9n 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 6&bY} i^K .pfP7weQ 3l3+A+n 图5. 视网膜重点采样规格设定 Z9575CI< 脚本 AZa6Cw D[_| *9BC 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: SVv;q?jZ Qtbbb3m; 图6. 用户对话框的创建与编辑 :4MB]v[K 图7. 用户对话框编辑器 6U[4%( 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 ]%BWIqbr 余下的脚本计算与屈光度有关的所有参数。 J9\a{c;. ({JHZ6uZ 分析 @J5Jpt*IE TF 'U 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 4'-|UPhx ,0E{h}( 图7. 字母F在视网膜上颜色分析 x9x E& 脚本代码 4m*M,# mV d?:=PH Option Explicit 'Remove this to enable non-dimensioned variables to be used. ,WvY$_#xW% :um|nRwy9 Dim entity As T_ENTITY )//I'V Dim op As T_OPERATION oS7(s Dim mat As T_MODELMATERIAL 9lGOWRxR) Dim A As Double \MjJ9u `8 Dim pupilDiam As Double 1Wm)rXW[x Dim eID As Long AJSx%?h:6 Dim parID As Long y`$Q\}fS Dim count As Integer ,Z{d.[$ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double INkD=tX Dim tlens As Double, nlens As Double x_c7R;C Dim curv As Double, conic As Double 94 e):
jS Dim ok As Long [5uRS}! [@Q_(LQ-U Sub Main 7zHh@ B:] ]S(%[| '用户输入对话框 -i4&v7" Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 H}H7lO TextBox 220,21,40,21,.TextBox1 'default: 0 yv\#8I:qh Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 Ux#x#N OKButton 40,91,90,21 e|&6$A>4] CancelButton 190,91,90,21 ]~6_ WE8L Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 C_4)=#@GU TextBox 220,49,40,21,.TextBox2 'default: 4 @BrMl%gV End Dialog T"&)&"W*U Dim dlg As UserDialog :.?gHF.? .Wq@gV ok = Dialog (dlg) E@-KGsdhK b8%C*r7 If ok=0 Then 'cancel button was pressed IBQ@{QB Print "Execution cancelled." XuD=E End \EKU*5\Hp> End If B 9T!j]' ,oNOC3U 'Assign accommodation and pupil diameter & use defaults if field left empty /;tPNp{!dw If dlg.TextBox1 = "" Then FJ % A = 0 'Default accommodation p|Q*5TO Else f m(e3] A = CDbl(dlg.TextBox1) vk>b#%1{ End If fx@j?*Qb zOV=9"~{ If dlg.TextBox2 = "" Then 2MATpV#BT pupilDiam = 4 'Default pupil diameter ?x+Z)`w_ Else 6<N5_1 pupilDiam = CDbl(dlg.TextBox2) w,O,W[C End If u5~Ns&o&N "*;;H^d Print " " N<QjdD& Print "Accommodation = " & A & " Diopters" E;d7ch Print "Pupil Diameter = " & pupilDiam & " mm" >@YtDl8R P\]B< ' Calculate new parameters with accommodation 6<'rG'' taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness e#,~,W.H #U*_1P0h Rant = 12.0 - 0.4*A 'Radius of anterior lens Wm H~m k" CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens _{Sm k[ /
}R z=& Rpost = -5.224557 + 0.2*A 'Radius of posterior lens Cn>ADWpT& CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens $5v0m#[^ ]c&<zeX, tlens = 3.767 + 0.04*A 'Lens thickness N`E-+9L) $''9K nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction !r`, =jK" ifo7%XPcg 'Adjust parameters to account for accommodation 50
A^bbid l ^d[EL+ '************************************************************************* ]r3Kg12Mi 'Aqueous thickness (Position of Lens) O:{U^K:* '************************************************************************* (mtoA#X1:h eID = FindFullName( "Geometry.Arizona Eye.Lens" ) >6oOZbUY0 GetCustomElement eID, entity p-%|P]& A/7X9ir parID = FindFullName( "Geometry.Arizona Eye" ) _BFOc>0 xAu/ ' Delete any shift(s) in z p~ .8\bI= count = 0 e(NLX` While GetOperationCount(eID)>count x+]!m/ GetOperation eID, count, op S!PzLTc If op.Type="ShiftZ" Then AW#<i_Ybf DeleteOperation eID,count %+ FG ,d count=count-1 8vuCc= End If /)xlJUq count=count+1 66#" Wend \m=?xb8
f En&5)c+js4 'Set new shift in zZiJ 9 e op.Type = "ShiftZ" &20P,8@ op.val1 = taq cEe?*\G op.parent = parID *jMk/9oa<N AddOperation eID, op K^rIG6 Print "Set aqueous humor thickness = " & taq-0.55 ^FZ^6* >a1{397Y} '************************************************************************* =<@\,xN>C
'Radius and conic constant of anterior lens W5/0`[4 '************************************************************************* m^_6:Q0F!8 eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ubu?S%` GetConic eID, entity, curv, conic 'a^{=+ GpbC
M~x SetConic eID, entity, 1/Rant, CCant BZb]SoAL Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 83cW=?UgA "xAWG$b '************************************************************************* CSV;+,Vv 'Radius and conic constant of posterior lens p"*y58 '************************************************************************* @<M*qK1h eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Qp2I[Ioz3 GetConic eID, entity, curv, conic #k<":O $|$e% SetConic eID, entity, 1/Rpost, CCpost ^). ) Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost dY"}\v6 +>7$4`Nb2 '************************************************************************* tn|,O.t 'Lens thickness (Position of posterior lens surface) 4yaxl\2 '************************************************************************* )'
xETA =2y8CgLj parID = FindFullName( "Geometry.Arizona Eye.Lens" ) pium$4l2# x'Pi5NRE ' Delete any z-shift(s) kCUT ^ count = 0 19(Dj&x While GetOperationCount(eID)>count
u@p? GetOperation eID, count, op hNXBVIL<& If op.Type="ShiftZ" Then NZu)j[" DeleteOperation eID,count %~j2 ('Y count=count-1 <DH*~tLp2 End If ni count=count+1 IMQ]1uq0$ Wend JNWg|Qt A>NsKWf{ 'Set new z-shift ^D@b;EyK op.Type = "ShiftZ" I\\QS.2 op.val1 = tlens &X`u9 V op.parent = parID f>$h@/-* AddOperation eID, op gQ~5M'# Print "Set lens thickness = " & tlens IfDx@ ?OB 8 _d-81Dd '************************************************************************* nzX@:7g 'Lens index of refraction Uz%Z&K '************************************************************************* ? 81X eID = FindMaterial( "Lens" ) lEPAP|~uw GetModelMaterial eID, mat [O-sVYB d~ng6pA mat.Nd = nlens vMSW$Bx ; SetModelMaterial eID, mat pz_e =xr Print "Set lens index of refraction = " & nlens ^_p%Yv A1cb"N^ '************************************************************************* ly4Qg\l 'Pupil diameter V'Qn sI '************************************************************************* o%M<-l"!/ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) AB.(CS=i v7trr W} 'Adjust pupil diameter (trimming volume inner hole) <c,~aq#W' <64HveJ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" daZQz"PP f?Bj _z ' Adjust pupil location to just in front of the lens K2'O]# parID = FindFullName( "Geometry.Arizona Eye" ) IGj`_a eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) :ipoD%@ count = 0 Q^eJ4{Ya: While GetOperationCount(eID)>count 3$M3Q]z GetOperation eID, count, op !)Ni dG If op.Type="ShiftZ" Then A q#/2t DeleteOperation eID,count dc 0@Y count=count-1 H!IDV}dn End If d<o.o?Vc count=count+1 ^E>CGGS4 Wend d-!<C7O} op.Type = "ShiftZ" ]]iO- } op.val1 = taq-0.01 {^q)^<#JT op.parent = parID Ar,
9U9 AddOperation eID, op 0x)dnq\ 2BB<mv
K4 Print "Set pupil diameter = " & pupilDiam !FG%2L4?,5 t
Y1Et0 'Update AZ Eye subassembly Description Mpx/S<Z eID = FindFullName( "Geometry.Arizona Eye" ) 'Am- vhpm GetEntity eID, entity x%BF{Sw entity.Description = "Accommodation = " & A & "D" :iY$82wQ SetEntity eID, entity 6`nR5 fh k{Lv37H Update s_wUM)! Print "DONE!" eG]a zt R"6;NPeo End Sub 8<PKKDgbfd Z>A{i?#m 如果屈光度是4,光瞳直径是4,则会输出如下数据: 2:v <qX |KG&HNfP- Accommodation = 4 Diopters 66ohmP@04Z Pupil Diameter = 4 mm |'hLa Set aqueous humor thickness = 2.81 FRyPeZR Set anterior lens radius = 10.4 and conic constant = -2.375869 oNRG25 Set posterior lens radius = -4.424557 and conic constant = -3.081019 *v #/Y9} Set lens thickness = 3.927 ]W9B6G_ Set lens index of refraction = 1.42672 ]A:( L9 Set pupil diameter = 4 Pern*x9$ DONE! o'UHStk `bP?o C|e+0aW QQ:2987619807 |XcH]7Ai"
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