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简介 y:457R2F 6VA@ ;g0$ 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。 [1s B * @oAM,@ 模型 LOp<c<+aW HK }C<gg 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。 l{;vD=D _xbVAI4 Table 1. AZ眼睛模型的定义 N!,@}s 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. FzNs >* P2lj#aQLS 光源 d/"e3S1 s:Memvf 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。 VPf=LSxJe or0f%wAF {|
Tl3 图1. 光源和提示信息使用 :sJVklK 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。 GUMO;rZs b,s T[!X[ 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。 f 1]1ZOb >R
:Bkf- 图2. 字母F光源的设定方法光 0kmZO"K#e CY9`ztO* 图3. 字母F在视网膜上位置点列图 wVp 视网膜的散射 oKzLt JEj.D=@[ 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。 V,lz}&3L @'dtlY5; 6tj+ 图4. 视网膜朗伯散射设定 ,\ov$biL 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 *_@8 v? W*N^G p@
z7> 图5. 视网膜重点采样规格设定 gLU #\d] 脚本 &_G^=Nc,H Kk-A?ju@g 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: tK0?9M.) '`^`NI` 图6. 用户对话框的创建与编辑 c?IFI 图7. 用户对话框编辑器 fsb_*sh& 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 .t$~>e
. 余下的脚本计算与屈光度有关的所有参数。 )nQA) uz # sm>;+J 分析 S }mqK|! fn]f$n*` 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 (@[c;+x "1yXOy^2 图7. 字母F在视网膜上颜色分析 !3E33 脚本代码 0escp~\Z p78X,44xg Option Explicit 'Remove this to enable non-dimensioned variables to be used. }HRM6fR1S <S<@V?h Dim entity As T_ENTITY ]+Ik/+Nz Dim op As T_OPERATION [HLXWu3 Dim mat As T_MODELMATERIAL @WEDXB Dim A As Double 5Ay\s:hb[u Dim pupilDiam As Double ET.c8K1f Dim eID As Long 7G zf>n Dim parID As Long <XDYnWz Dim count As Integer :/A3l=}iV Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double TldqF BX Dim tlens As Double, nlens As Double unY+/p $ Dim curv As Double, conic As Double oF7o"NHaWa Dim ok As Long Db3#; fq-e2MCX5 Sub Main Yi:@>A<# H$^IT# '用户输入对话框 68
vu Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 m:_'r"o TextBox 220,21,40,21,.TextBox1 'default: 0 ]rY:C "# Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 +`'=K ;{U OKButton 40,91,90,21 {$5?[KD CancelButton 190,91,90,21 OTwIR<_B+ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 B ~xT:r TextBox 220,49,40,21,.TextBox2 'default: 4 dTcrJ|/Y End Dialog =Kqb
V{! Dim dlg As UserDialog .ww~'5b0 #2{H!jr ok = Dialog (dlg)
<m7m c%tb6@C If ok=0 Then 'cancel button was pressed Jga;nrU Print "Execution cancelled." 8=\}#F End j%%& G$Tfu End If OpWTw&B"+ )jc`_{PQg 'Assign accommodation and pupil diameter & use defaults if field left empty &BxDS
. If dlg.TextBox1 = "" Then <MdIQ;I8 A = 0 'Default accommodation {^(h*zxn Else 0[E}[{t` A = CDbl(dlg.TextBox1) apy9B6%PJ+ End If !79eF) +xYU$e6Z If dlg.TextBox2 = "" Then d%?$UnQ pupilDiam = 4 'Default pupil diameter N5K\h}'% Else -,YoVB!T pupilDiam = CDbl(dlg.TextBox2) ]40@yrc End If !:BmDX[<n fD:BKJQ Print " " gZ!q Print "Accommodation = " & A & " Diopters" yVZLZLm Print "Pupil Diameter = " & pupilDiam & " mm" -}:;
EGUtd 9fQ[:Hl" ' Calculate new parameters with accommodation sQ";
t=yC taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness \%BII>VS b;xn0sDn# Rant = 12.0 - 0.4*A 'Radius of anterior lens o|`%>&jP CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens v=8sj{g3,3 ~$PY6s Rpost = -5.224557 + 0.2*A 'Radius of posterior lens Rq`d I~5!b CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens Nl$b;~u W*.j=?)\[ tlens = 3.767 + 0.04*A 'Lens thickness 6> DmcG:. @y1:=["b nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ^K3Bn i0q<,VSl$_ 'Adjust parameters to account for accommodation <Dk6o`7^N 3%~c\naD?O '************************************************************************* K&'Vd@ 'Aqueous thickness (Position of Lens) `En>o~ L; '************************************************************************* n F1}? eID = FindFullName( "Geometry.Arizona Eye.Lens" ) H3#rFO"C* GetCustomElement eID, entity {J~VB~(' pE4yx5r5 parID = FindFullName( "Geometry.Arizona Eye" ) Ht4A ;)Fc@OXN> ' Delete any shift(s) in z 3sD/4 ? count = 0 eHE?#r16Z While GetOperationCount(eID)>count &RB{0Qhx GetOperation eID, count, op `=%mU/v If op.Type="ShiftZ" Then g>*P}r~;^b DeleteOperation eID,count +?9.
&<? count=count-1 O=
84ZP% End If i+@t_pxc count=count+1 A<p6]#t#X) Wend }}b &IA# Um%$TGw5 'Set new shift in Eg+z(m$M op.Type = "ShiftZ" HRg< f= oz op.val1 = taq AGGNJ4m op.parent = parID CNM pyr AddOperation eID, op n?mV(? N Print "Set aqueous humor thickness = " & taq-0.55 |V-)3#c >(He,o@M '************************************************************************* zvOSQxGQ 'Radius and conic constant of anterior lens }rA
_4% '************************************************************************* |C`.m| eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) kO}QOL4 GetConic eID, entity, curv, conic k#"}oI{<
6 v|IG
G'r SetConic eID, entity, 1/Rant, CCant /NB;eV? Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant $s<bKju 7El :$H '************************************************************************* $:IEp V{ 'Radius and conic constant of posterior lens ?#gYu%7DN '************************************************************************* tB#-}Gf eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) >Pwu> GetConic eID, entity, curv, conic ?4sF:Y+\ ^kh@AgG^ SetConic eID, entity, 1/Rpost, CCpost =bh.V@* Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost }J+\o~ 4l?"zv1 '************************************************************************* QHPC?a6CD 'Lens thickness (Position of posterior lens surface) f9a_:]F '************************************************************************* BvqypLI s#>``E! parID = FindFullName( "Geometry.Arizona Eye.Lens" ) F.$NYr/|y glUf.:] ' Delete any z-shift(s) u(C?\HaH count = 0 JW9U&Bj{ While GetOperationCount(eID)>count ;@s'JSPt GetOperation eID, count, op ICm/9Onh& If op.Type="ShiftZ" Then EZ)$lw/!J DeleteOperation eID,count ;oivG)hJl count=count-1 HwxME%w End If (aX6jdvo count=count+1 8dCa@r&tz Wend dPb@[k JG* Lc@ Q 'Set new z-shift Dl=qss~g+ op.Type = "ShiftZ" v~KgCLo op.val1 = tlens ~T:L0||.%9 op.parent = parID i1ss}JJp* AddOperation eID, op ]:n! \G Print "Set lens thickness = " & tlens "!z9UiA <~iA{sY)O '************************************************************************* g3kF&+2i 'Lens index of refraction XHYVcwmDz- '************************************************************************* &-2i+KjEX eID = FindMaterial( "Lens" ) U( (F< GetModelMaterial eID, mat g/BlTi 8jjq)d4# mat.Nd = nlens :FWo,fq?:{ SetModelMaterial eID, mat zOT(>1' Print "Set lens index of refraction = " & nlens ~]C m }1?
2 '************************************************************************* `%Jq^uW 'Pupil diameter _su$]s '************************************************************************* <j&LC
/]o eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) Y4,LXuQ :uQ~?amM 'Adjust pupil diameter (trimming volume inner hole) MClvmv^ [O\[,E"K SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ![hVTZ,hyZ PNG!q}(c ' Adjust pupil location to just in front of the lens NTy0NH parID = FindFullName( "Geometry.Arizona Eye" ) i5CBLv eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) /p7-D; count = 0 5~E'21hJ While GetOperationCount(eID)>count Mhiz{Td GetOperation eID, count, op d'*:2;)g^ If op.Type="ShiftZ" Then MNVOlo A DeleteOperation eID,count |z] --h count=count-1 <L>$Y#wU End If 9vw0box count=count+1 qJq2Z.>hy Wend ht5eb"c+8 op.Type = "ShiftZ" * vW#XDx op.val1 = taq-0.01 %eQw\o,a op.parent = parID e sDd>W AddOperation eID, op #b5V/)K 4.qW
~W{ Print "Set pupil diameter = " & pupilDiam 5,u'p8}. >uVr;,=y 'Update AZ Eye subassembly Description 7^*[ XH eID = FindFullName( "Geometry.Arizona Eye" ) XfYhLE GetEntity eID, entity w//L2. entity.Description = "Accommodation = " & A & "D" #t?tt,nc} SetEntity eID, entity eZk4$y %VmHw~xyF: Update s6.#uT7h Print "DONE!" cr"AK"TQ {v~.zRW%]r End Sub C3z#A3&J kSq1Q#Bxq 如果屈光度是4,光瞳直径是4,则会输出如下数据: 7qT>wCVT e9@7GaL`"S Accommodation = 4 Diopters 9>1Gj-S2: Pupil Diameter = 4 mm 4Y:[YlfD. Set aqueous humor thickness = 2.81 ,+hH|$ Set anterior lens radius = 10.4 and conic constant = -2.375869 m[%*O#_ Set posterior lens radius = -4.424557 and conic constant = -3.081019 M73d^z Set lens thickness = 3.927 >nOU 8 Set lens index of refraction = 1.42672 w|0w< |