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简介 ;$Jvqq|T 4\3t5n 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 "LWuN> SAJ=)h~ 模型 D=vq<X' VLN3x.BY 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 CQ[-Cp7 do,X{\ Table 1. AZ眼睛模型的定义 nSiNSLv 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. Hdx|k=-Q^ <hbbFL}|% 光源 >>Di Fm':sd)'X 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 SI9hS4<j L /> GYx #VE$C3< 图1. 光源和提示信息使用 Se`N5hQ 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。 R2`g?5v S/;Y4o 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。 gi>_>zStv Q^rW^d 图2. 字母F光源的设定方法光 E}=NZqOB! zOdKB2_J7 图3. 字母F在视网膜上位置点列图 >JOvg*a?" 视网膜的散射 v!xrUyN~m w#,v n8 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。 a6E" GcCs}(eo G |^X:+ 图4. 视网膜朗伯散射设定 {Xd5e@:Js 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。 P0z{R[KBH fZfiiE~7J nj`qV 图5. 视网膜重点采样规格设定 iGk{8Da< 脚本 QB,ad m!g8@YI 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: Qu _T& ="R6YL 图6. 用户对话框的创建与编辑 P;LZ!I 图7. 用户对话框编辑器 v6\2mc. 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。 dRa<,@1" 余下的脚本计算与屈光度有关的所有参数。 oJT@'{;*z )`7+o9& 分析 q"<- J)|K/W9 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ~|C1$.- |7x^@i9w 图7. 字母F在视网膜上颜色分析 j]O[I^5 脚本代码 6CRPdLTDf /exl9Ilt] Option Explicit 'Remove this to enable non-dimensioned variables to be used. d<? :Q "]Dzc[Vp Dim entity As T_ENTITY Qm x~_ Dim op As T_OPERATION !!%nl_I( Dim mat As T_MODELMATERIAL ldvxYq<: Dim A As Double F)kLlsp Dim pupilDiam As Double SfSEA^@| Dim eID As Long 6G$tYfX Dim parID As Long H)aC'M^ Dim count As Integer `Kw8rG\]: Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double t>@3RBEK Dim tlens As Double, nlens As Double Y'0?<_ fj Dim curv As Double, conic As Double x>"JWD Dim ok As Long q.[[c $!!=fFX*y Sub Main :vyf-K74M To%*)a '用户输入对话框 59BHGvaF Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 6FIoWG"x TextBox 220,21,40,21,.TextBox1 'default: 0 :gaeb8`t Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ~<[5uZIo OKButton 40,91,90,21 Ny7=-]N4{" CancelButton 190,91,90,21 dS_)ll.6z Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 NZW)X[nXM TextBox 220,49,40,21,.TextBox2 'default: 4 <L
( = End Dialog =1OAy`8 Dim dlg As UserDialog cYy@ D)7$M]d% ok = Dialog (dlg) ]l7\Zq YkAWKCOni If ok=0 Then 'cancel button was pressed 02#Iip3t Print "Execution cancelled." eEGcio}_I9 End ~w9=Fd6 End If xp8f f%[ukMj& 'Assign accommodation and pupil diameter & use defaults if field left empty *([)X2A@+ If dlg.TextBox1 = "" Then b<V./rWIB A = 0 'Default accommodation ?[1qC=[Z< Else z/&a\`DsU A = CDbl(dlg.TextBox1) "mK i$FV End If
R{KIkv \ j X N*A If dlg.TextBox2 = "" Then ;(0$~O$3u pupilDiam = 4 'Default pupil diameter F@'rP++4 Else S<]a@9W pupilDiam = CDbl(dlg.TextBox2) bd
P,Zqd End If !5SQN5K <eFAI}=s Print " " po2[uJ Print "Accommodation = " & A & " Diopters" 5h=TV Print "Pupil Diameter = " & pupilDiam & " mm" ME@6.* aGk%I ' Calculate new parameters with accommodation tvH\iS #V taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness SP?U@w%} e=jT]i *cU Rant = 12.0 - 0.4*A 'Radius of anterior lens [H:GKhPC` CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens /<7C[^h{- DEQE7.]3 q Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 1LId_vJtJ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens +=~%S)9F @?7{%j* tlens = 3.767 + 0.04*A 'Lens thickness [+MX$y C| L^Ds0 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction u!3]RGJ 5+/b$mHZX 'Adjust parameters to account for accommodation @-&(TRbZo "(\)
&G '************************************************************************* Sa1z,EP 'Aqueous thickness (Position of Lens) 9+8!xwR: '*************************************************************************
^*xHy` eID = FindFullName( "Geometry.Arizona Eye.Lens" ) D@\;@(
| GetCustomElement eID, entity 1^f.5@tV oS#'u1k parID = FindFullName( "Geometry.Arizona Eye" ) @6
;oN v]{uxlh ' Delete any shift(s) in z k8
;uC~L count = 0 ){ While GetOperationCount(eID)>count *fH_lG% GetOperation eID, count, op o!toO&= If op.Type="ShiftZ" Then h#m:Y~GoF DeleteOperation eID,count
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#Fl count=count-1 4OOn, 09 End If %t~SOkx count=count+1 3 IWLBc Wend lTr*'fX C3\E.u? 'Set new shift in y3cf[Q op.Type = "ShiftZ" M6jp1:ZH2q op.val1 = taq `/w\2n op.parent = parID >^yc=mM(g3 AddOperation eID, op 5K ,#4EOV Print "Set aqueous humor thickness = " & taq-0.55 6mu<&m@ *j/S4qG '************************************************************************* Z6^QB@moj 'Radius and conic constant of anterior lens
gmRT1T '************************************************************************* sp=OT-Pfp eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) AUxM)H GetConic eID, entity, curv, conic ] dHB} UK6xkra?# SetConic eID, entity, 1/Rant, CCant ?jri!]ux# Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant &@%
b?~ _^ q\XPS '************************************************************************* @GG(7r\/B 'Radius and conic constant of posterior lens -Aa]aDAz68 '************************************************************************* ;NH~9# t: eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) h@~:(:zU$ GetConic eID, entity, curv, conic @n7t?9Bx MCk^Tp!
SetConic eID, entity, 1/Rpost, CCpost ]^:hyOK Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost Xb]=:x( `l>93A '************************************************************************* SPkKiEdM 'Lens thickness (Position of posterior lens surface) L6:W'u^ '************************************************************************* dh^+l;!L K4! P' parID = FindFullName( "Geometry.Arizona Eye.Lens" ) J]}FC{CD! rQ ' Delete any z-shift(s) 'ySljo*It count = 0 xMDrE? While GetOperationCount(eID)>count ~{kM5:-iw GetOperation eID, count, op ,AH0*L If op.Type="ShiftZ" Then a`H\-G DeleteOperation eID,count .3VK;au\\ count=count-1 60GFVF]'2 End If _i3i HR? count=count+1 t`"^7YFS> Wend 'h-3V8m^e m|pTn#*` 'Set new z-shift CQdBf3q op.Type = "ShiftZ" 5x8'K7/4. op.val1 = tlens |9>*$Fe" op.parent = parID aje^Z=] AddOperation eID, op ?ork^4 $s Print "Set lens thickness = " & tlens R?
O-x9 T H|?X0b '************************************************************************* u8Y~_)\MA 'Lens index of refraction dQ: ?<zZ '************************************************************************* L@w0N)P<!{ eID = FindMaterial( "Lens" ) l8z%\p5cR GetModelMaterial eID, mat GDF{Lf)/v ht?CHUu mat.Nd = nlens z|ves&lRa SetModelMaterial eID, mat (NX)oP Print "Set lens index of refraction = " & nlens cV-i*L4X Oqpp=7 '************************************************************************* HOE2*4r 'Pupil diameter jOs
H2^ '************************************************************************* U,e'ZRU6 eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) bA9CO\Pp` tG/aH% 4S 'Adjust pupil diameter (trimming volume inner hole) 8QV t,
'I Vo%Yf9C SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" xw ?CMA Y2<dM/b/ ' Adjust pupil location to just in front of the lens tWm> j parID = FindFullName( "Geometry.Arizona Eye" ) tJ"az=? eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) `h?LVD'l count = 0 UxyY<H~Wx While GetOperationCount(eID)>count C` pp GetOperation eID, count, op "Nbos.a]5 If op.Type="ShiftZ" Then 'Q5&5UrBr DeleteOperation eID,count KxY$PgcC count=count-1 MSl&?}Bj End If ?0{yq>fTu count=count+1 R2l[Q){! Wend 4IZlUJ?j+c op.Type = "ShiftZ"
lWbZ=x_0 op.val1 = taq-0.01 (^LS']ybc op.parent = parID i3\~Qj;1 AddOperation eID, op r@iASITX x=.tiM {# Print "Set pupil diameter = " & pupilDiam 8W;2oQN7 }qAVN 'Update AZ Eye subassembly Description `fz,Lh*v eID = FindFullName( "Geometry.Arizona Eye" ) ym\(PCa5` GetEntity eID, entity RX'-99M entity.Description = "Accommodation = " & A & "D" ),=@q+{E{ SetEntity eID, entity oU8>Llt=$ JkU1daTe Update {b1UX9y Print "DONE!" &1_U1 '<7S^^ax End Sub MAnp{ J*j5#V]; 如果屈光度是4,光瞳直径是4,则会输出如下数据: gz;&u) 4O(@'#LLz Accommodation = 4 Diopters %hc'dZ Pupil Diameter = 4 mm 4=xq:Tf Set aqueous humor thickness = 2.81 L]I3P|y_ Set anterior lens radius = 10.4 and conic constant = -2.375869 ?g3 ]~;# Set posterior lens radius = -4.424557 and conic constant = -3.081019 ]9*;;4Mg Set lens thickness = 3.927 'a#mViPTQ) Set lens index of refraction = 1.42672 `4V"s-T' Set pupil diameter = 4 mRwT_(;t DONE! P]Xbjs<p
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