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简介 P#w}3^ XyvZ&d6(d 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。 )?F$-~7
o G(0i 模型 wCV>F- #DQX<:u 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 17WNJ E}]I%fi Table 1. AZ眼睛模型的定义 yB0jL:|a 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. Oyi;bb<# =''mpIg( 光源 =$^Wkau CWE Ejl 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@wsSm j5PaSk&o= %T`4!:vy 图1. 光源和提示信息使用 ,:v.L}+Z 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。 \Pw8wayr% tn"Y9
k| 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。 I(z>)S'7r xP8iz?6"V 图2. 字母F光源的设定方法光 N90\]dFmy @`w' 图3. 字母F在视网膜上位置点列图 W2}%zux 视网膜的散射 B`g<Ge~ P3+)pOE-SI 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。 <{$ev&bQ % MfGVx}nG Aivu %}_| 图4. 视网膜朗伯散射设定 cxtLy&C 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 fl} rz 2(c<U6#C'l B] A 5n8< 图5. 视网膜重点采样规格设定 =giM@MV 脚本 [ea6dv4p (Wm/$P; 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: XX]5T`D M[:O( 图6. 用户对话框的创建与编辑 YH/S2 D 图7. 用户对话框编辑器 X@6zI-Y% 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。 {toyQ)C7 余下的脚本计算与屈光度有关的所有参数。 el <<D Fy}MXe"f 分析 [<#<:h&\ B6tcKh9d, 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 E[ )7tr (P
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Y( 图7. 字母F在视网膜上颜色分析 8gVxiFjo 脚本代码 J{nyo1A s=H/b$v Option Explicit 'Remove this to enable non-dimensioned variables to be used. h]J&A }XfS#Xr1aV Dim entity As T_ENTITY p?dGZ2` [I Dim op As T_OPERATION 8\qCj.>S Dim mat As T_MODELMATERIAL ka?IX9t\ Dim A As Double <Dt/Rad Dim pupilDiam As Double % j[O&[s}
Dim eID As Long -4*'WzWr Dim parID As Long 2x<Qt2" Dim count As Integer iF#}t(CrH Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double %\(y8QV Dim tlens As Double, nlens As Double T+AlcOP Dim curv As Double, conic As Double 9#Aipu\ Dim ok As Long ,<uiitOo <|KKv5[ Sub Main '(3Nopl Q|j@#@O 1 '用户输入对话框 YLA557~ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 %=NM_5a}] TextBox 220,21,40,21,.TextBox1 'default: 0 |xsV(jK8 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 8!o{W=m^4 OKButton 40,91,90,21 >D`fp CancelButton 190,91,90,21 U}RS*7` Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ~uhyROO,G" TextBox 220,49,40,21,.TextBox2 'default: 4 M5cOz|j/*R End Dialog zCBtD_@ Dim dlg As UserDialog #.\,y>` C0t+Q ok = Dialog (dlg) }%o+1 <= :Fi%Cef| If ok=0 Then 'cancel button was pressed c:h.J4mv Print "Execution cancelled." 6mI_Q2 End Y2=Brtc[@ End If m'Ek p uhC= 'Assign accommodation and pupil diameter & use defaults if field left empty DuO%B If dlg.TextBox1 = "" Then A]tf>H#1 A = 0 'Default accommodation ~`G;=ITo Else h0QYoDvbC A = CDbl(dlg.TextBox1) G)tq/`zNw End If L5zG0mC8 DSDl[;3O{s If dlg.TextBox2 = "" Then UALg!M# pupilDiam = 4 'Default pupil diameter c5B_WqjJ Else T}w*K[z
$ pupilDiam = CDbl(dlg.TextBox2) CD8JY iJ End If JL.ydH79 "x:)$@ Print " " -KIVnV=&m Print "Accommodation = " & A & " Diopters" j^aQ>(t(9 Print "Pupil Diameter = " & pupilDiam & " mm" a!0?L0_W& #5ohmp,u ' Calculate new parameters with accommodation skR,M=F~ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ZHiICh|et% oxCs* Rant = 12.0 - 0.4*A 'Radius of anterior lens 80 s~ae; CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens B(en5| 9p[W :)P4d Rpost = -5.224557 + 0.2*A 'Radius of posterior lens _Y
><ih CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens SVg@xu+ Z+``/Q]>+ tlens = 3.767 + 0.04*A 'Lens thickness g<hv7?"[ bn*{*=(| nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ](9{}DHV f1]AfH# 'Adjust parameters to account for accommodation XY+aunLf
N}l]Ilm$34 '************************************************************************* xPfnyAo?%z 'Aqueous thickness (Position of Lens) l9ifUhe '************************************************************************* St3(1mApl eID = FindFullName( "Geometry.Arizona Eye.Lens" ) *(\;}JF- GetCustomElement eID, entity .~A"Wyu\ *nsnX/e(- parID = FindFullName( "Geometry.Arizona Eye" ) 2LxVt@_R!% ek{PA!9Sk ' Delete any shift(s) in z %8}ksl07 count = 0 LG&Q>pt. While GetOperationCount(eID)>count ,
R.+-X GetOperation eID, count, op XJxs4a1[t If op.Type="ShiftZ" Then /_k hFw DeleteOperation eID,count /[0 /8f6 count=count-1 !(ux.T0 End If ]!tYrSM! count=count+1 E!}-qbH^ Wend }%>$}4 , +sR *d 'Set new shift in #Lxj
) op.Type = "ShiftZ" |Z7bd^ op.val1 = taq L$TKO,T op.parent = parID mk`cyN>m AddOperation eID, op P{i8 Print "Set aqueous humor thickness = " & taq-0.55 L$u&~"z- 7].IT( '************************************************************************* y8~)/)l& 'Radius and conic constant of anterior lens *Xtc`XH '************************************************************************* 6B;_uIq5 eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) j=jrzG+` GetConic eID, entity, curv, conic B> "r -O KEVy%AP=*h SetConic eID, entity, 1/Rant, CCant 0Li'a{n 2 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant :AE;x& ?9r,Y;,H '************************************************************************* 3~3(G[w 'Radius and conic constant of posterior lens &v9PT!R~ '************************************************************************* m/F(h-? eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 0[!gk]p GetConic eID, entity, curv, conic .vOpU4 }Mb'tGW SetConic eID, entity, 1/Rpost, CCpost iB`WXU Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost w6In{uO-Z KlqJEtO_ '************************************************************************* #<i><EG 'Lens thickness (Position of posterior lens surface) .Qi1I '************************************************************************* O->(9k < vzrD" parID = FindFullName( "Geometry.Arizona Eye.Lens" ) :qSi>KCGh ~
%YTJS ' Delete any z-shift(s) %J (
}D7-, count = 0 f({-j%m While GetOperationCount(eID)>count gl7vM GetOperation eID, count, op +uiH0iGS If op.Type="ShiftZ" Then 9@z|2z2\G DeleteOperation eID,count g@6X|W5,J count=count-1 rPGE-d3 End If y:[VRLo count=count+1 +i_f.Ipp Wend .6Lhy3x ttq< )4 'Set new z-shift `:BQ&T%UQR op.Type = "ShiftZ" JX@6Sg< op.val1 = tlens 'SD|ObBY op.parent = parID A&lgiR*ObT AddOperation eID, op -"dy z( Print "Set lens thickness = " & tlens 4k2c mM$ K#C56k q& '************************************************************************* iN/!k.ybW} 'Lens index of refraction 6p]R)K>wS '************************************************************************* }}bi#G:R+ eID = FindMaterial( "Lens" ) u-M$45vct GetModelMaterial eID, mat qH$rvD!] -0IFPL8 mat.Nd = nlens FjLv*K[#d SetModelMaterial eID, mat dVtLYx Print "Set lens index of refraction = " & nlens Cv(N5mA2 jc~*#\N '************************************************************************* C\>Mt 'Pupil diameter ?gMrcc/{ '************************************************************************* 3)Awj++ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) +:Q/<^Z 5b4V/d*
' 'Adjust pupil diameter (trimming volume inner hole) )7%]<2V% W]Tt8 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" (5DGs_> qkG;YGio ' Adjust pupil location to just in front of the lens e}yu<~v_ parID = FindFullName( "Geometry.Arizona Eye" ) X%1.mTU~K eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 7{6. count = 0 / z?7ic0
While GetOperationCount(eID)>count PEn^.v@ GetOperation eID, count, op /(pD^D If op.Type="ShiftZ" Then qg:I+"u DeleteOperation eID,count
M9jo<+ count=count-1 Rpd/9x.)& End If gw"l& |