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简介 K`25G_Y3@ 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。 UUlrfur~ lAM"l)Ij 模型 f_&bwfbo S$Cht6m 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。 UqP %S$9 #hOAG_a, Table 1. AZ眼睛模型的定义 fgg;WXcT ~ 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. {=Y.Z1E: Y-.pslg 光源 >q:0w{.TU (oYM}#Q 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 1i.t^PY C>?`1d@ 6n
2LG 图1. 光源和提示信息使用 d0`5zd@S 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 >|Hd*pg)) U(.3[x 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 }538vFNi p.gaw16}> 图2. 字母F光源的设定方法光 o771q}?&` 0V5 RZ`. 图3. 字母F在视网膜上位置点列图 s4$Z.xwr 视网膜的散射 6<h?%j( {~"&$DY2 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。 QT5,_+ho PLi [T4u &J\V
!uVo 图4. 视网膜朗伯散射设定 $_6DvJ0 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 6QCU:2IiL TZT1nj"n _pXy}D 图5. 视网膜重点采样规格设定 Y6|8;2E 脚本 l%aiG+z%6} Ol,Tw=? 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: X0=#e54 a!1\,. 图6. 用户对话框的创建与编辑 ^<0azza/( 图7. 用户对话框编辑器 BPoY32d"_ 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 7>g^OE f 余下的脚本计算与屈光度有关的所有参数。 2BU%4IG vGK'U*gGD 分析 (f^K\7HM xZ*.@Pkr 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 [jD.l;jF ?mK`Wleh? 图7. 字母F在视网膜上颜色分析 \\F@_nB,b 脚本代码 <c[+60p" 7/"g}
F}Q Option Explicit 'Remove this to enable non-dimensioned variables to be used. ,cR=W|6cQm MCOz-8@|Y Dim entity As T_ENTITY ZiBTe,; Dim op As T_OPERATION Z|YiYQl[) Dim mat As T_MODELMATERIAL >Lh+(M;+F Dim A As Double : QK )Ym Dim pupilDiam As Double v2>.+Eh# Dim eID As Long Z:l.{3J$ Dim parID As Long RcUKe, Dim count As Integer e}u#:ysj Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ('/5#^%R Dim tlens As Double, nlens As Double ncEOz1u Dim curv As Double, conic As Double QU/Q5k Dim ok As Long yq{k:) jP{LMmV Sub Main WXqrx*?*+ #tyHj k '用户输入对话框 *5DOTWos Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 $7{| TextBox 220,21,40,21,.TextBox1 'default: 0 7l"N%e Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 Cd:ofv/3 OKButton 40,91,90,21 rrGsam\. CancelButton 190,91,90,21 V9:h4] Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 \;w+_<zE5{ TextBox 220,49,40,21,.TextBox2 'default: 4 hadGF%> O6 End Dialog CD\k. Dim dlg As UserDialog JzA`*X[ rz c}2I ok = Dialog (dlg) [KIK}: 4%Q8>mEvT If ok=0 Then 'cancel button was pressed F&r+"O)^-R Print "Execution cancelled." WN?1J4H End |Uz?i7z End If V 0Ul` |];s[^$# 'Assign accommodation and pupil diameter & use defaults if field left empty 7xAzd#
c?= If dlg.TextBox1 = "" Then )NeI]p A = 0 'Default accommodation ]| oh1q Else JO:40V?op A = CDbl(dlg.TextBox1) OO..
Y End If U88-K1G #t
/.fd If dlg.TextBox2 = "" Then 30 VvZb pupilDiam = 4 'Default pupil diameter =F2e*?a3 Else V#;6<H" pupilDiam = CDbl(dlg.TextBox2) =/@c9QaVB End If 4&IBNc,sn Cj?X+#J/@d Print " " \>NjeMuWU Print "Accommodation = " & A & " Diopters" |t^7L )&y Print "Pupil Diameter = " & pupilDiam & " mm" " &B/v"nj 8fzmCRFH ' Calculate new parameters with accommodation yZ t}Jnv taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 0 r=:l/Pz >jjuWO3T Rant = 12.0 - 0.4*A 'Radius of anterior lens k36%n
*4 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens S_cba(0-|\ T)Byws Rpost = -5.224557 + 0.2*A 'Radius of posterior lens
^|DI9G(Bs CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens tp2CMJc{L {l=! tlens = 3.767 + 0.04*A 'Lens thickness V.PbAN M$L1!o1Xf nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction CLI!( 8ZW o.DT`L8 'Adjust parameters to account for accommodation vKppXm1 &)
7umdSgi '*************************************************************************
'ypJGm 'Aqueous thickness (Position of Lens) +D|y))fE '************************************************************************* x0wy3+GZc eID = FindFullName( "Geometry.Arizona Eye.Lens" ) )P\Vd # GetCustomElement eID, entity [nBlHI;& HABMFv parID = FindFullName( "Geometry.Arizona Eye" ) Eh;SH^&6 2`,{IHu*! ' Delete any shift(s) in z ;wCp j9hir count = 0 /X)fWO S6 While GetOperationCount(eID)>count \k;)m-0bj{ GetOperation eID, count, op " FI]l<G& If op.Type="ShiftZ" Then %7q,[g8 DeleteOperation eID,count R?g
qPi- count=count-1 {q%&~ End If H)1< ;{: count=count+1 g9OO#C> Wend ;3NA,JA#Y O G#By6O 'Set new shift in `-S6g^Y op.Type = "ShiftZ" V}ZF\SG(K op.val1 = taq HErTFY+vC op.parent = parID .Rxz;-VA AddOperation eID, op jJ86Ch Print "Set aqueous humor thickness = " & taq-0.55 (u@p[ncN} PNgj 8J4 '************************************************************************* S!o!NSn@1 'Radius and conic constant of anterior lens :i+Tf~k{ '************************************************************************* ,6?L.L eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) hp6S *d
GetConic eID, entity, curv, conic gl-O"%rMcL 'VCF{0{H~ SetConic eID, entity, 1/Rant, CCant T:S+Pt~ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant z>+@pj
8)3g!3S '************************************************************************* aB~?Y+m 'Radius and conic constant of posterior lens ZZp6@@zyq' '************************************************************************* !Y/$I?13Z eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) W>036 GetConic eID, entity, curv, conic C0;c'4( X2!vC!4P?L SetConic eID, entity, 1/Rpost, CCpost k_.%(ZE Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost n\&[^Q#b| io^^f| '************************************************************************* <m"Zk k 'Lens thickness (Position of posterior lens surface) s<LF=qGu '************************************************************************* z
7OTL<h r8rU+4\8< parID = FindFullName( "Geometry.Arizona Eye.Lens" ) K"-.K]O8E% ^B~z .F
i ' Delete any z-shift(s) o7E?A count = 0 u-0-~TwD While GetOperationCount(eID)>count 4M'y9 ( GetOperation eID, count, op p7}xgUxX If op.Type="ShiftZ" Then ?n9gqwO DeleteOperation eID,count !_)*L+7f_ count=count-1 ,Hn{nVU1R= End If Z?Y14L~% count=count+1 x\!Q[ Wend <[Ae0UK vx /NG$ 'Set new z-shift fEF1&&8^ op.Type = "ShiftZ" @#$5_uU8\( op.val1 = tlens \&|)?'8rS op.parent = parID ntE;*FyH AddOperation eID, op 3G|n`dj Print "Set lens thickness = " & tlens s0
hD;`cm >
!k '*************************************************************************
chW 1UE 'Lens index of refraction E$dPu '************************************************************************* l -us j%\ eID = FindMaterial( "Lens" ) =B_vQJF2 GetModelMaterial eID, mat `)$'1,]u >AI65g mat.Nd = nlens oF[l<OY4 SetModelMaterial eID, mat uH S) Print "Set lens index of refraction = " & nlens ]P;Ng=a ^w'y>uFM '************************************************************************* $Kn{x!,"( 'Pupil diameter fvgjqiT '************************************************************************* 1TeYA6 t eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) $lmGMljF xG i,\K\: 'Adjust pupil diameter (trimming volume inner hole) raRb
K8CQ Y S )Q#fP SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" hOjy$Z A46z2 ' Adjust pupil location to just in front of the lens d[ (KgX9 parID = FindFullName( "Geometry.Arizona Eye" ) 9`eu&n@Z eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) &y"e|aE count = 0 R@Ch3l@ While GetOperationCount(eID)>count .jW+\mIX GetOperation eID, count, op <hazrKUn If op.Type="ShiftZ" Then WZ`u"t^2V DeleteOperation eID,count ew8f7S[ count=count-1 N9 yL(2 End If `) s]T.- count=count+1 0w[#` Wend dHjJLs_ op.Type = "ShiftZ" Oo<L~7B op.val1 = taq-0.01 #wn`choT' op.parent = parID ea!_/Y AddOperation eID, op w4w[qxV> S{_i1' Print "Set pupil diameter = " & pupilDiam CPGiKE `{BY
{ 'Update AZ Eye subassembly Description #1c%3KaZI eID = FindFullName( "Geometry.Arizona Eye" ) d2f
GetEntity eID, entity jinDKJ,n; entity.Description = "Accommodation = " & A & "D" ^ 'W<| SetEntity eID, entity Kppi
N+ || n@IpO
i$Q Update _)AX/%^% Print "DONE!" @}sxA9a ^]_[dqd End Sub znm3b8ns p2Yc:9r9+A 如果屈光度是4,光瞳直径是4,则会输出如下数据: =y)e&bj Hg<d%7. Accommodation = 4 Diopters S[g{
)p) Pupil Diameter = 4 mm %dA6vHI, Set aqueous humor thickness = 2.81 Y#[jDS(ip Set anterior lens radius = 10.4 and conic constant = -2.375869 H4l* Set posterior lens radius = -4.424557 and conic constant = -3.081019 Fo
K!JX* Set lens thickness = 3.927 ;VVKn=X=S= Set lens index of refraction = 1.42672 A|3'9iL{9 Set pupil diameter = 4 $2lrP]`>j. DONE! -DWyKR= j" c8'a<<sj (文章来源:讯技光电)
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