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简介 4}s'xMT! Wf^sl 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。 *V 4%&&{ <ZheWl 模型 <p}7T]a7 wl&T9O;? 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。 fp*6Dv_ No)0|C8: Table 1. AZ眼睛模型的定义 bv VkN 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. {*P[dyu -+Ot'^ 光源 e ^oGiL~ I=:"Fqj'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。 6VVxpDAi: r}es_9*~Z ;!G#Y
Oe 图1. 光源和提示信息使用 ]YtN6Rq/ 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。 FvY=!U06 r-go921 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。 NyT%S?@y< 1Iy1xiP 图2. 字母F光源的设定方法光 /_})7I52
PpKjjA< 图3. 字母F在视网膜上位置点列图 %S%IW 视网膜的散射 )z\# Hqs!L`oW) 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。 ')0@J` *hru);OJr $}{[_2 图4. 视网膜朗伯散射设定 1ANFhl(l 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 URs]S~tk }I-nT!D'y &a=78Z 图5. 视网膜重点采样规格设定 8lzoiA_9 脚本 9TQVgkW WG3!M/4r H 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: G;flj}z qB (Pqv 图6. 用户对话框的创建与编辑 FR[I~unqD 图7. 用户对话框编辑器 ^8_yJ=~V 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 2|=hF9
余下的脚本计算与屈光度有关的所有参数。 jLM([t =\|,hg)c 分析 u*):
D~A m$=}nI(H 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 qFwt^w )v_v 7 ~H& 图7. 字母F在视网膜上颜色分析 ?tL' X 脚本代码 !u@P\8M} Rx&O}>"E>l Option Explicit 'Remove this to enable non-dimensioned variables to be used. hNsi
8/ Ht4O5yl" Dim entity As T_ENTITY ij;NM:|Sd Dim op As T_OPERATION xYCJO(& Dim mat As T_MODELMATERIAL A5J41yH Dim A As Double S4`X^a}pY Dim pupilDiam As Double L7;~4_M9.V Dim eID As Long tp}/>gU! Dim parID As Long v:/\;2 Dim count As Integer #
:k= Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double RSh_~qMX Dim tlens As Double, nlens As Double 7)V"E-6h Dim curv As Double, conic As Double ~qj(&[U{c\ Dim ok As Long Hp04apM: 4r7F8*z Sub Main \.}T_,I &TBFt; '用户输入对话框 babL.Ua8o Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 %L* EB;nK TextBox 220,21,40,21,.TextBox1 'default: 0 W/bW=.d
Jd Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 {%G9iOV. OKButton 40,91,90,21 Qgj# k CancelButton 190,91,90,21 Ajm!;LA[jO Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 O&BvWik TextBox 220,49,40,21,.TextBox2 'default: 4 '0+~]4&}q End Dialog 0 (wu Dim dlg As UserDialog t&?{+?p:
9 zP%s] >hH ok = Dialog (dlg) !i~(h&z 17Cb{Q If ok=0 Then 'cancel button was pressed wQUl!s7M; Print "Execution cancelled." Zh;wQCDj End <[)-Q~Gg5 End If ;&O?4?@4 .)b<cH~% 'Assign accommodation and pupil diameter & use defaults if field left empty &>,]YrU If dlg.TextBox1 = "" Then up'`)s' A = 0 'Default accommodation 2$5">%? Else d,Aa8I A = CDbl(dlg.TextBox1) &|{1Ws End If qisvGHo RbTGAA
If dlg.TextBox2 = "" Then v#qd q!64 pupilDiam = 4 'Default pupil diameter 0fXMY-$I Else |-}.Y(y pupilDiam = CDbl(dlg.TextBox2) o13jd NQ- End If >|A,rE^Ojt isL
zgN% Print " " ~^' ,4<K-} Print "Accommodation = " & A & " Diopters" dgpE3
37Lt Print "Pupil Diameter = " & pupilDiam & " mm" 49Jnp>h oYkd%N9P ' Calculate new parameters with accommodation 6]b"n'G taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness XeI2<=@% c EYHB1*cT Rant = 12.0 - 0.4*A 'Radius of anterior lens y<Q"]H.CkQ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens H9(?yI@Zr# /ovVS6Ai Rpost = -5.224557 + 0.2*A 'Radius of posterior lens \s&Mz;: CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens y(Gn+ :,0(aB tlens = 3.767 + 0.04*A 'Lens thickness a{T.U-0
]@Zv94Z( nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction :E.a.- mp8GHV 'Adjust parameters to account for accommodation (p%|F` 7?=^0?a '************************************************************************* gQ{ #C' 'Aqueous thickness (Position of Lens) .U0Gm_c0 '************************************************************************* p3U)J&]c6 eID = FindFullName( "Geometry.Arizona Eye.Lens" ) sr6BC. GetCustomElement eID, entity ?z9!=A%<V~ .Z[4:TS parID = FindFullName( "Geometry.Arizona Eye" ) w.k9{f ]!/U9"_e"B ' Delete any shift(s) in z e%JIqKS count = 0 }:IIk-JoC While GetOperationCount(eID)>count NbU`_^oC GetOperation eID, count, op cuQ!"iH If op.Type="ShiftZ" Then U9:)qvMXe DeleteOperation eID,count X
61|:E count=count-1 n>ui'}L End If GJ*IH9YR count=count+1 7{F\b Wend {Ge{@1 #-'`Ybw 'Set new shift in q~R8<G%YK op.Type = "ShiftZ" ?@G s7' op.val1 = taq Z0L($ op.parent = parID "@nH;Xlq AddOperation eID, op X,v.1#[ Print "Set aqueous humor thickness = " & taq-0.55 YbP
@ c#N4XsG, '************************************************************************* ZW [&7[4 'Radius and conic constant of anterior lens =-si|
1Z '************************************************************************* MQ!4"E5"j eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ^L2d%d\5 GetConic eID, entity, curv, conic S1|u@d' K<J,n!zc SetConic eID, entity, 1/Rant, CCant 3}H{4]*%_ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant cz9J&Le> WEj{2+ '************************************************************************* G]ek-[- 'Radius and conic constant of posterior lens A2 +% '************************************************************************* U4!KO;Jc eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ?y-^Fq|h GetConic eID, entity, curv, conic H
d|p@$I n|{K_! f SetConic eID, entity, 1/Rpost, CCpost |c/=9Bb Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost F$as#.7FF D m0)%# '************************************************************************* :|W=2(> 'Lens thickness (Position of posterior lens surface) nc;eNB '************************************************************************* ,m# B5z'Tq1 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) t.9s4 9P +|LM" ' Delete any z-shift(s) '.bf88D count = 0 s:tX3X While GetOperationCount(eID)>count wo0j/4o GetOperation eID, count, op ,->K)Rs ; If op.Type="ShiftZ" Then R0RxcBtG DeleteOperation eID,count 7% D 4 count=count-1 ^`kwSC End If QR&e~rks count=count+1 "UTW(~D' Wend V5K/)\# c7XBZ%D 'Set new z-shift RzqgN*]lY op.Type = "ShiftZ" i3w~&y- op.val1 = tlens 9`*ST(0/ op.parent = parID v.(dOIrX AddOperation eID, op %aNm j)L Print "Set lens thickness = " & tlens eNd&47lJ *tUOTA 3L '************************************************************************* f'=u`*(b7 'Lens index of refraction R/oi6EKv '************************************************************************* G(7%*@SX eID = FindMaterial( "Lens" ) lbAhP+B GetModelMaterial eID, mat Z^|N]Ej ~$u9 mat.Nd = nlens MZV$YD^S SetModelMaterial eID, mat e\V
-L_ Print "Set lens index of refraction = " & nlens KZ%i&w#< ;stjqTd '************************************************************************* QCbD^ 'Pupil diameter x-[ItJ% l '************************************************************************* Y1h)aQ5{ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" )
;2C $9`#p/V 'Adjust pupil diameter (trimming volume inner hole) C7C4
eW8 p^8a<e?f~f SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" M8~3 0L HEVjK$ ' Adjust pupil location to just in front of the lens D./{f8 parID = FindFullName( "Geometry.Arizona Eye" ) !5 }}mf eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) "9_$7.q<y count = 0 7FE36Ub9 While GetOperationCount(eID)>count i"<W6 GetOperation eID, count, op PuJ3#H
T If op.Type="ShiftZ" Then -$:;en? DeleteOperation eID,count tczJk1g} count=count-1 < |