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简介 6_4B! eFG(2OVg}M 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。 cd1G.10 T"[]'|' 模型 5\MC5us3 UPU$SZAIx 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 k1q/L|') m<hP"j Table 1. AZ眼睛模型的定义 GM0Q@`d 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. 5K ;E*s, 2^=.j2 光源 4_kN';a4Q dv>n38&mDQ 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 A vq+s.h N
o6!gZ1 nFNRiDx 图1. 光源和提示信息使用 PQkw)D<n]_ 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 )Q'E^[Ua \~ChbPnc 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 Fs( PVN Sy|GM~ 图2. 字母F光源的设定方法光 WJOoDS!i QM F 图3. 字母F在视网膜上位置点列图 GYx0U8MJ[e 视网膜的散射 GYfOwV!zB P[WkW# 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 &bW,N 9p qsr~ ZpVkgX4 图4. 视网膜朗伯散射设定 kun/KY 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 &2y4k"B&) cK+TE8ao s2{SbOBis 图5. 视网膜重点采样规格设定 VTu#)I7A^@ 脚本 ,2nu*+6Y/ #y83tNev 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: }_]AQN$'G HE,L8S 图6. 用户对话框的创建与编辑 $V(]z`b& 图7. 用户对话框编辑器 I_ mus<sE 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 y("WnVI 余下的脚本计算与屈光度有关的所有参数。 Q?k*3A |6*Bu1 分析 q@ -B+ a/j;1xcc< 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 'q-q4QCB 2h 图7. 字母F在视网膜上颜色分析 [Cl0Kw.LD 脚本代码 eWcqf/4?" ep"[;$Eb Option Explicit 'Remove this to enable non-dimensioned variables to be used. <
'5~p$ ]nhh|q9r{ Dim entity As T_ENTITY #{8IFA Dim op As T_OPERATION mVZh_R=a Dim mat As T_MODELMATERIAL
e^Zm09J Dim A As Double }csA|cC Dim pupilDiam As Double }=^ ,c Dim eID As Long R |c=I}@F Dim parID As Long 7AV{
h[J Dim count As Integer KNx/1lf Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double zuvPV{
X Dim tlens As Double, nlens As Double ;5 j|B|v Dim curv As Double, conic As Double $Z@*!B^ Dim ok As Long hC<ROD _uQ]I^ 'D Sub Main >|QH
I
d8 H#TkIFo] '用户输入对话框 )7>GXZG>= Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 aOzIo- TextBox 220,21,40,21,.TextBox1 'default: 0 QH/py Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 S<i$0p8J; OKButton 40,91,90,21 Rd#R}yA CancelButton 190,91,90,21 =_dM@ j Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 "I.6/9 TextBox 220,49,40,21,.TextBox2 'default: 4 F0:]@0>r End Dialog QtW9!p7( Dim dlg As UserDialog D\Ak-$kJ^ GcVQz[E ok = Dialog (dlg) 68tyWd} Z1
D If ok=0 Then 'cancel button was pressed y]j.PT`Cw Print "Execution cancelled." {"ST
hTZ End I=0c\ U} End If *2/Jg'de L/8oqO| 'Assign accommodation and pupil diameter & use defaults if field left empty op6]"ZV-C If dlg.TextBox1 = "" Then TA[%eMvA A = 0 'Default accommodation -zg*p&F Else aCG rS{ A = CDbl(dlg.TextBox1) ]Z!Y*v End If $Rm~ VwY# `OfhzOp If dlg.TextBox2 = "" Then Q0xO;20 pupilDiam = 4 'Default pupil diameter 7>yd Else gu
k,GF9p] pupilDiam = CDbl(dlg.TextBox2) fs!dI End If 8M5)fDu*? $BwWQ?lp Print " " %N8I'*u Print "Accommodation = " & A & " Diopters" P#O"{+` Print "Pupil Diameter = " & pupilDiam & " mm" <o(;~ 6FB0g8 ' Calculate new parameters with accommodation FZ-Wgh
0z taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness qezWfR` CD`a-]6qA Rant = 12.0 - 0.4*A 'Radius of anterior lens 7'\.QJ!< CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens t!?`2Z5 N^;lp<{6? Rpost = -5.224557 + 0.2*A 'Radius of posterior lens C[^VM$ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens B"4 3o7C S@qPf0dL< tlens = 3.767 + 0.04*A 'Lens thickness J}V4.R5d ,
'pYR]3 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction zIc6L3w$ xQFRM aQE 'Adjust parameters to account for accommodation ?{J1&;j* % S312=w '************************************************************************* i/X3k& 'Aqueous thickness (Position of Lens) 7U [C=NL '************************************************************************* (qAF2& eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ~>:JwTy GetCustomElement eID, entity 0LQRQuh1 (TeH)j! parID = FindFullName( "Geometry.Arizona Eye" ) ;j0.#P:a ,+i^]yF3j ' Delete any shift(s) in z +Y?Tr i count = 0 4!!|P While GetOperationCount(eID)>count fG 2)r GetOperation eID, count, op 0AnL]`"t.3 If op.Type="ShiftZ" Then k=)U DeleteOperation eID,count #]Vw$X_S count=count-1 !&U75FpN}: End If |.; N_i count=count+1 K'&,]r# Wend +k=*AQt^8 tY_=[6?Zu 'Set new shift in ?wtKi#k'v# op.Type = "ShiftZ" (u?s@/e:`/ op.val1 = taq m-{DhJV op.parent = parID \KV.lG! AddOperation eID, op kHK<~srB Print "Set aqueous humor thickness = " & taq-0.55 7] y3<t +C=vuR '************************************************************************* }-[l)<F: 'Radius and conic constant of anterior lens i3 js'?7E '************************************************************************* lr&2,p< eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ei2?H;H; GetConic eID, entity, curv, conic jnV#Q
; ca=MUm=B SetConic eID, entity, 1/Rant, CCant r,eH7&P9{ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant }%KQrlbHJl &tOo[U? '************************************************************************* +9HU&gQ3 'Radius and conic constant of posterior lens #o&T$D5 '************************************************************************* <@7j37,R7V eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Wi$?k{C GetConic eID, entity, curv, conic $I5|rB/4? .3EEi3z6z SetConic eID, entity, 1/Rpost, CCpost WGV]O| Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost -t_&H\_T [CHN3&l-5S '************************************************************************* 55v=Ij?M 'Lens thickness (Position of posterior lens surface) WDNj7 '************************************************************************* !UzE&CirV H8HH) ^ parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 6~ET@"0uK I>MLI=[Kg ' Delete any z-shift(s) A7QT4h&6 count = 0 u9_?c
G- While GetOperationCount(eID)>count 7gtaI3 GetOperation eID, count, op K81FKV. If op.Type="ShiftZ" Then NiG&Lw*8 DeleteOperation eID,count s\.r3U&6 count=count-1 ;4+z~7Je]^ End If T c-fO
/0 count=count+1 tT`S"
9T Wend P'$2%P$8:~ Q8TR@0d 'Set new z-shift "P5,p"k:) op.Type = "ShiftZ" O-AC$C[d op.val1 = tlens .9DhD=8aIO op.parent = parID CS%ut-K<5M AddOperation eID, op L `2{H%J` Print "Set lens thickness = " & tlens d3oRan}z xfUV'=~( '************************************************************************* r 8N<<^ 'Lens index of refraction g9GPyU '************************************************************************* NrcV%-+u% eID = FindMaterial( "Lens" ) =
CXX.%N GetModelMaterial eID, mat :t;\`gQoS }2=~7&) mat.Nd = nlens =)#XZ[#F SetModelMaterial eID, mat k H06Cb Print "Set lens index of refraction = " & nlens Kj"n
Id) %i&am= '************************************************************************* $hM9{ 'Pupil diameter \hJLa '************************************************************************* -6q7ze{@ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) vSQB~Vw8t _)CCD33$ 'Adjust pupil diameter (trimming volume inner hole) ^b&hy&ag 0l(G7Ju SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" [CnoMN }Ej^"T:H_; ' Adjust pupil location to just in front of the lens 7CT446 parID = FindFullName( "Geometry.Arizona Eye" ) NR^Z#BU eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) yrzyus count = 0 nCldH|>5w While GetOperationCount(eID)>count ?r0>HvUf!l GetOperation eID, count, op `=TJw,q If op.Type="ShiftZ" Then dDe$<g5L4 DeleteOperation eID,count OoOwEV2p_ count=count-1 B)DtJf End If Or1ikI" count=count+1 FOa2VP% Wend NS4W!o;" op.Type = "ShiftZ" xG%O^ op.val1 = taq-0.01 `C:J {` op.parent = parID f+Bv8 g AddOperation eID, op o<S(ODOfi e<{Ani0 Print "Set pupil diameter = " & pupilDiam LZPLz@=&] 5X`m.lhUc 'Update AZ Eye subassembly Description xqVIw!J?/} eID = FindFullName( "Geometry.Arizona Eye" )
4m9]d) GetEntity eID, entity r-}C !aF] entity.Description = "Accommodation = " & A & "D" Yv;iduc(' SetEntity eID, entity uQkFFWS BfvvJh_ Update +_fxV|}P Print "DONE!" dqL)q 3 M-f; ,> End Sub 2)`4(38 :2&W9v 如果屈光度是4,光瞳直径是4,则会输出如下数据: _`]YWvh ue6&)7:~ Accommodation = 4 Diopters {Pi]i? Pupil Diameter = 4 mm ADZU?7) Set aqueous humor thickness = 2.81 \g;-q9g;O Set anterior lens radius = 10.4 and conic constant = -2.375869 \H?r[]*c% Set posterior lens radius = -4.424557 and conic constant = -3.081019 SQBe}FlktK Set lens thickness = 3.927 XCZNvLG Set lens index of refraction = 1.42672 x_KJCU Set pupil diameter = 4 ,
rc
%#eF DONE! Pu|3_3^
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