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简介 0U.Ld: 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。 iztF m<MN.R7 模型 3%x-^. ]8cD, NS 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。 <X97W\ ~g~`,:Qc Table 1. AZ眼睛模型的定义 K TE*Du 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. (YmIui> fv>Jn` 光源 FklO#+<: +$^[r 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 {+9t!' N=8CVI 3VQmo\li 图1. 光源和提示信息使用 dsK^-e6:5 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 yN#]Q}4 hH?ke(&=f 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 4tapQgj24 `E>o:tff 图2. 字母F光源的设定方法光 B,4GxoX` (i@(ZG]/ 图3. 字母F在视网膜上位置点列图 L{c\7 视网膜的散射 P[Vf$ q< U[@B63];0 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。 K~8!Gh{h] MB.LHIo lg jY\? 图4. 视网膜朗伯散射设定 P\
2Bx *e 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。 !<>`G0 ?Y$3R"p@3` I]d?F:cdX 图5. 视网膜重点采样规格设定 6y@o[=m 脚本 BUsAEwM lWU? R 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: "9H#pj - dSzq}w4xY 图6. 用户对话框的创建与编辑 D4+OWbf6 图7. 用户对话框编辑器 d[ce3':z 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 vmtmiN8;d 余下的脚本计算与屈光度有关的所有参数。 4-xg+*() a'\fS7aE0l 分析 Vao3D8 D_I_=0qNd 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 _3_o/I IBv9xP]BZ 图7. 字母F在视网膜上颜色分析 tpKQ$)ed 脚本代码 ?eR^\-e @,q<][q Option Explicit 'Remove this to enable non-dimensioned variables to be used. C5#$NV99p }Ot2; T Dim entity As T_ENTITY \,b_8^ Dim op As T_OPERATION \OF"hPq Dim mat As T_MODELMATERIAL #!M;4~Sfx Dim A As Double mY]R~: Dim pupilDiam As Double 4*+)D8 Dim eID As Long 9KZLlEk5O Dim parID As Long > bSQ}kXe Dim count As Integer eZRu{`AF* Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double q?Mmkh)g Dim tlens As Double, nlens As Double QEq>zuz5; Dim curv As Double, conic As Double q VJC O-K| Dim ok As Long e p\a :U#4H;kk~j Sub Main knu>{a} 5A"OL6ty '用户输入对话框 +t;j5\HS Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 H52] Zm TextBox 220,21,40,21,.TextBox1 'default: 0 +Tp>3Jh2 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 9xUAfU OKButton 40,91,90,21 GVzG CancelButton 190,91,90,21 PF/eQZ*4 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 {= l9{K`~ TextBox 220,49,40,21,.TextBox2 'default: 4 'd=B{7k@ End Dialog 5ayH5=(t Dim dlg As UserDialog @{UtS2L rM(2RI4O`0 ok = Dialog (dlg) 3+$~l5LY :+\B|*T2.L If ok=0 Then 'cancel button was pressed \*$''`b)j Print "Execution cancelled." |B.tBt^ End L(eLxw e% End If Q68q76 *H,vqs\}y 'Assign accommodation and pupil diameter & use defaults if field left empty Ucz`^}+ If dlg.TextBox1 = "" Then AE 2>smp5@ A = 0 'Default accommodation VE5M}kDCZ Else RI
jz7ZG A = CDbl(dlg.TextBox1) }zu?SZH End If D>Dch0{H,: |cCrLa2*- If dlg.TextBox2 = "" Then Kr|9??`0E pupilDiam = 4 'Default pupil diameter J(\f(jh/ Else sKI{AHJ?X pupilDiam = CDbl(dlg.TextBox2) oefhJM!y End If 7nAB^~)6l bjEm=4FI; Print " " BiUbg6T.G Print "Accommodation = " & A & " Diopters" H[&X${ap Print "Pupil Diameter = " & pupilDiam & " mm" 0(!D1G{ul #Y;_W;# ' Calculate new parameters with accommodation 8n^v,s > taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness fB3W} dr qkN{l88 Rant = 12.0 - 0.4*A 'Radius of anterior lens k&PxhDf CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens RZV6\j X!%CYmIRb Rpost = -5.224557 + 0.2*A 'Radius of posterior lens [vs5e3B) CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens EpCsJ08K UfnjhHu tlens = 3.767 + 0.04*A 'Lens thickness 2'zYrdem =N%;HfUD nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction !yQ# E2/A yBwgLn 'Adjust parameters to account for accommodation Spossp`| hI{M?LQd '************************************************************************* ],HF)21 'Aqueous thickness (Position of Lens) ~]_gq;bG '************************************************************************* G'sEbw'[ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) W7QcDR y6 GetCustomElement eID, entity 3"Y
|RSy 4iiW{rh4 parID = FindFullName( "Geometry.Arizona Eye" ) ir%?J&C+t ?UlAwxn ' Delete any shift(s) in z [80L|?, * count = 0 B~oc.sg While GetOperationCount(eID)>count 7]w]i5 GetOperation eID, count, op pLvvv#Y If op.Type="ShiftZ" Then |Y6+Y{|\ DeleteOperation eID,count O*dN+o count=count-1 ersddb^J] End If oyS43/." count=count+1 Bu\:+3 ) Wend t`6R)' kCO`JAH# 'Set new shift in \/Z?QBFvz op.Type = "ShiftZ" 7r?s)ZV op.val1 = taq /K{`gc op.parent = parID B1GBQH$Ms AddOperation eID, op 7n,*3;I Print "Set aqueous humor thickness = " & taq-0.55 #G;0yB:76 H +O7+=& '************************************************************************* Ungex@s_ 'Radius and conic constant of anterior lens M~Tx4_t '************************************************************************* c 5&
_'& eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) QN!$4 1A?{ GetConic eID, entity, curv, conic gn>qd6P J_]B,'
6 SetConic eID, entity, 1/Rant, CCant 2cy: l03 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant hP1H/=~ mT@8( '************************************************************************* ^a6c/2K 'Radius and conic constant of posterior lens p<w2e '************************************************************************* xWv@PqXD eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) %z}{jqD&:X GetConic eID, entity, curv, conic <g SZt\ TmZ%
;TN SetConic eID, entity, 1/Rpost, CCpost L{py\4z'_ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost +=v6*%y"V =.Tc
l"O[ '************************************************************************* :`~;~gW< 'Lens thickness (Position of posterior lens surface) 0=3Av8 '************************************************************************* 8Z{e/wnVF i /j
DwA parID = FindFullName( "Geometry.Arizona Eye.Lens" ) .Du-~N4\ "enGWIH ' Delete any z-shift(s) HAof,* h$ count = 0 Z%]s+V)st While GetOperationCount(eID)>count 9ZbT41 GetOperation eID, count, op r2WW}W
If op.Type="ShiftZ" Then gVM&wo | DeleteOperation eID,count 5C}1iZEJ count=count-1 #bz#&vt$ End If O_yk< count=count+1 Sm@T/+uG: Wend U}w,$
Y lV4|(NQ9 'Set new z-shift @2>A\0U op.Type = "ShiftZ" [8F1rZ& op.val1 = tlens {tq.c9+!d op.parent = parID C5q
n(tv AddOperation eID, op w}wABO Print "Set lens thickness = " & tlens bi^[Eh %r1NRg8 '************************************************************************* u0&QStI 'Lens index of refraction 8F?6Aq1B '************************************************************************* O] T'\6w eID = FindMaterial( "Lens" ) 3#O Rfr( GetModelMaterial eID, mat
eXN\w]GE k[ {h$ mat.Nd = nlens =UGyZV:z5 SetModelMaterial eID, mat rD"$,-h Print "Set lens index of refraction = " & nlens 2pKkg>/S :Pa^/i '************************************************************************* MLbmz\8a 'Pupil diameter it
Byw1/ '************************************************************************* P!c.!8C$ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) P2U^%_~ ~F gxhK2+ 'Adjust pupil diameter (trimming volume inner hole) ;\[n{<
>S<`ri'5_ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" }0Q_yuzx0m 36
&ghx ' Adjust pupil location to just in front of the lens C;mcb$@ parID = FindFullName( "Geometry.Arizona Eye" ) Pdq}~um3{ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 8%eWB$<X count = 0 %T~3xQ While GetOperationCount(eID)>count NNOemTh GetOperation eID, count, op T?4pV# If op.Type="ShiftZ" Then mE|?0mRA % DeleteOperation eID,count Z1 7=g@ count=count-1 A_:CGtv: End If Mj9Mv<io count=count+1 3}Xf Wend &xAwk-{W op.Type = "ShiftZ" F'~\!dNL op.val1 = taq-0.01 tsYBZaH op.parent = parID
Gx&o3^ t AddOperation eID, op r]sNI[ -~Ll;}nZC Print "Set pupil diameter = " & pupilDiam
W 'w{}| ^~
95q0hq: 'Update AZ Eye subassembly Description _Se0,Uns eID = FindFullName( "Geometry.Arizona Eye" ) PVC Fh$pnw GetEntity eID, entity 9;ZaL7> entity.Description = "Accommodation = " & A & "D" [>IV#6 $ SetEntity eID, entity ]!um}8!} nM<B{AR5^ Update "j2th. Print "DONE!" [3@Pu.-I+M bgk+PQ#S- End Sub ;2k!KW@ _A>?@3La9 如果屈光度是4,光瞳直径是4,则会输出如下数据: AGWs> *F^t)K2 Accommodation = 4 Diopters mqt$'_M Pupil Diameter = 4 mm iImy"$yX{ Set aqueous humor thickness = 2.81 V*Q!J{lj^# Set anterior lens radius = 10.4 and conic constant = -2.375869 D&dh>Pe1; Set posterior lens radius = -4.424557 and conic constant = -3.081019 >bLhCgF:" Set lens thickness = 3.927 {V7W!0;! Set lens index of refraction = 1.42672 _HAtTW Set pupil diameter = 4 -eQ>3x&3r DONE! ^uV=|1<% }wIF$v?M (文章来源:讯技光电)
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