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简介 Vzrp9&loY X15e~;& 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。 bF3}L=z BI)$aR 模型 gJn_8\,C>Q My>{;n=} 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 [=xO> Qgv-QcI{ Table 1. AZ眼睛模型的定义 0j~C6vp 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. +Y^/0=6h Jo ]8?U(^ 光源 Yyh X%S % Q,f5r%A. 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 G0h7MO%x t5za$kW'& Hb *&& 图1. 光源和提示信息使用 t?kbN\, 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。 3m`y?Dd {Uu|NA87Cd 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。 gTP0: G&*2h2,] 图2. 字母F光源的设定方法光 hbdM}"&] [<{+tAdn) 图3. 字母F在视网膜上位置点列图
bR5+({yH 视网膜的散射 wg,w;Gle G_x<2E"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。 -5yEd>Z S-6%mYf oW/ #/;|` 图4. 视网膜朗伯散射设定 y|%rW 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。 &P{[22dQ MkG*6A P\CT|K'P 图5. 视网膜重点采样规格设定 S2fBZ=V8 脚本 #}!Ge oos7x6 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: H6XlSj =sW(2Im 图6. 用户对话框的创建与编辑 7].FdjT. 图7. 用户对话框编辑器 $/Q*@4t
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。 %<8lLRl 余下的脚本计算与屈光度有关的所有参数。 l;SqjkN TM|ycS' 分析 v9OK
< x-/ `c 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 R"=pAO.4l !7lS=D(? 图7. 字母F在视网膜上颜色分析 .5zqpm 脚本代码 E(oI0*S.5 X)|b_ 3Z Option Explicit 'Remove this to enable non-dimensioned variables to be used. }Z_w8+BZ F\Gi;6a Dim entity As T_ENTITY PSQ5/l?\> Dim op As T_OPERATION j9YI6X" Dim mat As T_MODELMATERIAL *s9
+ Dim A As Double >I3#ALF Dim pupilDiam As Double ayJKt03\O\ Dim eID As Long $!x8XpR8s Dim parID As Long L= fz:H Dim count As Integer :YU_ \EV Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double C0X_t Dim tlens As Double, nlens As Double q]Cmaf ( Dim curv As Double, conic As Double V\"x#uB Dim ok As Long &!#a^d+` 0 ,tZWPF- Sub Main %klC&
_g~_ ]N^a/&}* '用户输入对话框 9air"4 Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 S3u>a\ TextBox 220,21,40,21,.TextBox1 'default: 0 DDT)l+: XP Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 \4`~J@5Y OKButton 40,91,90,21 '@h5j6:2 CancelButton 190,91,90,21 CCOd4 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 2Ke?* TextBox 220,49,40,21,.TextBox2 'default: 4 ^|?/
y= End Dialog 8M;VX3X Dim dlg As UserDialog vJT
%ET c@%:aiEl ok = Dialog (dlg) S$Tc\/{ h+Dp<b If ok=0 Then 'cancel button was pressed Y=l91dxGI Print "Execution cancelled." s('<ms End t8,s]I& End If J)iy6{0" C#`VVtei 'Assign accommodation and pupil diameter & use defaults if field left empty {1.t ZCMT If dlg.TextBox1 = "" Then #`rvL6W q} A = 0 'Default accommodation oO-kO!59y Else ^<#08L; A = CDbl(dlg.TextBox1) 7yLO<o?9w End If 8S[`(]
) "If]qX(w If dlg.TextBox2 = "" Then (-tF=wR,W pupilDiam = 4 'Default pupil diameter 1CFTQB > Else &{?*aK&%3l pupilDiam = CDbl(dlg.TextBox2) y{ReQn3>y End If &y/ 4i>sOP3
B Print " " ^~k2(DLk Print "Accommodation = " & A & " Diopters" P)Vm4u
1 Print "Pupil Diameter = " & pupilDiam & " mm" %Ji@\|Zkf wiXdb[[# ' Calculate new parameters with accommodation !j,LS$tPu taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness T> cvV &)@|WLW Rant = 12.0 - 0.4*A 'Radius of anterior lens fJ_d,4 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens p.kJNPO\@ M}E0Msq_o Rpost = -5.224557 + 0.2*A 'Radius of posterior lens KiU/N$E CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens <\<[J0 3VZeUOxY\W tlens = 3.767 + 0.04*A 'Lens thickness '`$z!rA X(nbfh?n nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction bLyU; \M-}(>Pfk 'Adjust parameters to account for accommodation }=CL/JHz T >XnVK '************************************************************************* @Omgk=6 'Aqueous thickness (Position of Lens) y%A!|aBu '************************************************************************* M}|<#
i7u eID = FindFullName( "Geometry.Arizona Eye.Lens" ) @~v|t{G GetCustomElement eID, entity ] RgLTqv4x bM[!E 8dF parID = FindFullName( "Geometry.Arizona Eye" ) 6 KuB<od m%Ah]x; ' Delete any shift(s) in z #jAlmxN count = 0 x9Veg4Z7 While GetOperationCount(eID)>count RN(>37B3_ GetOperation eID, count, op
<WN? If op.Type="ShiftZ" Then gPs%v`y)*D DeleteOperation eID,count +cS%b}O`$ count=count-1 LWQ.!;HY p End If S&]AIG) count=count+1 {[~cQgCI Wend l<fZt#T f;1DhAS 'Set new shift in Ve,h]/G op.Type = "ShiftZ" >\=~2>FCD op.val1 = taq K?[*9Q'\ op.parent = parID "iFA&$\ AddOperation eID, op $^|I?5xD Print "Set aqueous humor thickness = " & taq-0.55 Id`?yt H'N$Vv2q '************************************************************************* TX7B (JZD 'Radius and conic constant of anterior lens NjT#p8d X '************************************************************************* DA'A-C2 eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) o4I&?d7;" GetConic eID, entity, curv, conic z8W@N8IqC )NG{iD{_] SetConic eID, entity, 1/Rant, CCant (#6E{@eq Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant m/W0vPM1 WVaIC $Y '************************************************************************* ?'F>DN 'Radius and conic constant of posterior lens t[Dg)adc '************************************************************************* -:92<G\D eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) +3B^e%`NPm GetConic eID, entity, curv, conic 0Y7b$~n'Y oNV5su SetConic eID, entity, 1/Rpost, CCpost L@> +iZSO Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost HF@K$RPK C1
qyjlR '************************************************************************* ?U~}uG^ 'Lens thickness (Position of posterior lens surface) uMW5F-~-+ '************************************************************************* 2w>lnJ- " jefB6k9h parID = FindFullName( "Geometry.Arizona Eye.Lens" ) xi5/Wc6 1QHCX*_ ' Delete any z-shift(s) >
"G HLi count = 0 Yv0;U Kd While GetOperationCount(eID)>count q0Rd^c GetOperation eID, count, op BzFD_A>j;_ If op.Type="ShiftZ" Then YDEUiZ~ DeleteOperation eID,count 4
I}xygV count=count-1 _ PC}`Y'& End If [5&zyIi count=count+1 y?BzZ16\bL Wend
Jz(!eTVs Mv9q-SIc[ 'Set new z-shift G/tah@N[7 op.Type = "ShiftZ" ZSL:q%:. op.val1 = tlens A/kRw'6 op.parent = parID d~[^D<5,D AddOperation eID, op v@OyB7} Print "Set lens thickness = " & tlens `_L=~F8 _;*|"e@^ '************************************************************************* {4\hxyw 'Lens index of refraction H]:z:AAvX '************************************************************************* '8g/^Y@ eID = FindMaterial( "Lens" ) .;gK*`G2W) GetModelMaterial eID, mat 79J@` "z+Z8l1. mat.Nd = nlens $#V^CmW. SetModelMaterial eID, mat Pw4j?pv2 Print "Set lens index of refraction = " & nlens p^_E7k<ag mPHn &4 '************************************************************************* t
>89(
k 'Pupil diameter Up|\&2_ '************************************************************************* ,}&E=5MF\ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) Ln;jB&t <&'Y e[k 'Adjust pupil diameter (trimming volume inner hole) T7W*S-IW ns.[PJ"8 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 1k@k2rE %]9
<a ' Adjust pupil location to just in front of the lens Ed/@&52z0 parID = FindFullName( "Geometry.Arizona Eye" ) zdA:K25" eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 0`X%& count = 0 Ov{fO While GetOperationCount(eID)>count *!De(lhEc GetOperation eID, count, op g%w@v$ If op.Type="ShiftZ" Then H~~I6D{8 DeleteOperation eID,count "4FL<6 count=count-1 EXz5Rue
LV End If tK&.0)*= count=count+1 LkFXUt ? Wend 6p/gvpZ op.Type = "ShiftZ" JL1%XQ
i op.val1 = taq-0.01 {aq\sf;i{ op.parent = parID sV7dgvVd AddOperation eID, op OwGl& 2aUz.k8o Print "Set pupil diameter = " & pupilDiam C]UBu-]#S %l@Q&)f8e 'Update AZ Eye subassembly Description Hk-)fl#dr eID = FindFullName( "Geometry.Arizona Eye" ) 3mn0 GetEntity eID, entity P[{w23`4 entity.Description = "Accommodation = " & A & "D" ^o't& SetEntity eID, entity :>lica_ f}bUuQrH-! Update :V2j'R, Print "DONE!" x_Ki5~w5
3OHP-oa. End Sub w
<]7:/ 96F:%|yG 如果屈光度是4,光瞳直径是4,则会输出如下数据: &sL5Pt_ =y7]9SOq Accommodation = 4 Diopters U'LO;s04m Pupil Diameter = 4 mm 3m4?l
~ Set aqueous humor thickness = 2.81 EU, 4qO Set anterior lens radius = 10.4 and conic constant = -2.375869 q{f%U. Set posterior lens radius = -4.424557 and conic constant = -3.081019 :o$ R@l Set lens thickness = 3.927 H<`[,t Set lens index of refraction = 1.42672 _u}v(!PI Set pupil diameter = 4 $X5~9s1Wl DONE! L}A R{ !U]V?Jpi" t; n6Q0 QQ:2987619807 #RJy
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