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简介 vXE0%QE'Q F@YKFk+a 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。 xHA0gZf 6 %Mt 模型 <vV_%uoM 8LzBh_J? 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。 3Q^fVn$tk JRaq!/[( Table 1. AZ眼睛模型的定义 N2C7[z+l` 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. bulS&dAX i3$$,W! 光源 r6Aneg7 W?woNt'n 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。 XvTCK>1 Z4b|| }H> ^o9 图1. 光源和提示信息使用 [iP#VM-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。 zi@]83SS# V)ig)(CT 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。 <ABX0U[* sgUud_r)4 图2. 字母F光源的设定方法光 W/$Zvl yLE7>48 图3. 字母F在视网膜上位置点列图 "R>FqX6FB 视网膜的散射 4GdX/6C. ').}N z 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 2_^aw[- (t+;O; %QmxA
7fW 图4. 视网膜朗伯散射设定 ED>prE0 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 Pz*_)N}j > 4`m~FNVS B%CTOi 图5. 视网膜重点采样规格设定 #G" xNl 脚本
s#~GH6/ ^zzP. 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: %
2$/JZ "5R~(+~<@ 图6. 用户对话框的创建与编辑 D"(L5jR8m@ 图7. 用户对话框编辑器 K_)eWf0a 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。 fWfk[(M'9 余下的脚本计算与屈光度有关的所有参数。 t7n(Qkrv 9vUO*D 分析 M5nWVK7c o8/;;* 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 f"7O "6 >(uZtYM\j 图7. 字母F在视网膜上颜色分析 vE@!{* 脚本代码 ]^':Bmq * _a@z1 Option Explicit 'Remove this to enable non-dimensioned variables to be used. C2LL|jp* gb
^?l~SS Dim entity As T_ENTITY wO ?+Nh Dim op As T_OPERATION _vSn` Dim mat As T_MODELMATERIAL k.("3R6v: Dim A As Double dm0QcW4 Dim pupilDiam As Double j
8*ZF Dim eID As Long p&+;w Dim parID As Long }bY;q- Dim count As Integer pyLRgD0
g Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double (py]LBZ Dim tlens As Double, nlens As Double &%})wZ+Dj Dim curv As Double, conic As Double I2nF-JzD2a Dim ok As Long H
0+dV3 R\o<7g-| Sub Main j83p)ido =mA: ctu~v '用户输入对话框 z<H~ItX,n Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 C<KrMRWh^ TextBox 220,21,40,21,.TextBox1 'default: 0 8} =JKR^cK Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 'YNT8w/3 OKButton 40,91,90,21 nJ~drG}TD CancelButton 190,91,90,21 >2bKSh Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 !Mi;*ZR TextBox 220,49,40,21,.TextBox2 'default: 4 =FE|+!>PA End Dialog tOfg?)h{dc Dim dlg As UserDialog 2M#r] /|xra8?H[ ok = Dialog (dlg) 0-~\
W( D8
hr?:I9 If ok=0 Then 'cancel button was pressed bh^LIU Print "Execution cancelled." ^i:`ZfA# End 1V8-^ End If ()~pY!)1/ TMYd47 'Assign accommodation and pupil diameter & use defaults if field left empty iD<(b`S If dlg.TextBox1 = "" Then +$oF]OO A = 0 'Default accommodation &f&z_WU Else p.LFVFPT A = CDbl(dlg.TextBox1) jDQZQ NS End If H54R8O$ 2W4qBaG$= If dlg.TextBox2 = "" Then Z!ha fhcX pupilDiam = 4 'Default pupil diameter ABUSTf< Else 5nsq[Q` pupilDiam = CDbl(dlg.TextBox2) kF/9-[]$g, End If ,"B+r6}EF ]Kr
`9r), Print " " &hRvol\J Print "Accommodation = " & A & " Diopters" G "73=8d Print "Pupil Diameter = " & pupilDiam & " mm" OKoan$#sn liXdNk8 ' Calculate new parameters with accommodation >nzdnF_&zW taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness _q~=~nub "HPB!)C8( Rant = 12.0 - 0.4*A 'Radius of anterior lens K_dOq68_ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens O%FPS= J>/w5$h5 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens M)U{7c$c7 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 9uGrk^<t =jN*P? tlens = 3.767 + 0.04*A 'Lens thickness 'nF2aD%A )E~79! nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction L'F<ev U\Z?taXB 'Adjust parameters to account for accommodation u9N 1pZ~ ^Vpq$'! '************************************************************************* b,CaWg 'Aqueous thickness (Position of Lens) *hw\35%P`? '************************************************************************* J>\B`E eID = FindFullName( "Geometry.Arizona Eye.Lens" ) Z,=7Tu bR# GetCustomElement eID, entity -{ H0g] ~$~5qwl parID = FindFullName( "Geometry.Arizona Eye" ) B'fb^n< dH-s2r%s ' Delete any shift(s) in z e d<n9R count = 0 ;aw=MV While GetOperationCount(eID)>count VY3& GetOperation eID, count, op ~c&bH]cj If op.Type="ShiftZ" Then cJrmm2.0kD DeleteOperation eID,count vvm0t"|\ count=count-1 yxH ( c End If Sv +IS count=count+1 vMS
|$L Wend <WcR,d 7k rUKYVo 'Set new shift in h@[R6G| op.Type = "ShiftZ" jrS[f op.val1 = taq wYmM"60 op.parent = parID ?O8ViB?2 AddOperation eID, op Cvf[/C+ Print "Set aqueous humor thickness = " & taq-0.55 PS[+~>% t]YC"%[S '************************************************************************* 49vcoHlf 'Radius and conic constant of anterior lens -q*i_r:, '************************************************************************* ZSG9t2qlv eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) <>8WQn,K GetConic eID, entity, curv, conic GSRVe/[ 4y+< dw SetConic eID, entity, 1/Rant, CCant w'm;82V:P- Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant gntxNp[9T @w?P7P<O` '************************************************************************* @0F3$ 'Radius and conic constant of posterior lens ;LMJd@ '************************************************************************* %oO4|JkJX eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) HBMhtfWW GetConic eID, entity, curv, conic gy_>`16K `tn{ei SetConic eID, entity, 1/Rpost, CCpost xLC3>>P Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost ]]*7\ :cb rsy'q(N[ '************************************************************************* 4B^ZnFJ%m 'Lens thickness (Position of posterior lens surface) WUh$^5W '************************************************************************* {$wjO7Glp o:_Xv.HRZo parID = FindFullName( "Geometry.Arizona Eye.Lens" ) @9lUSk^9 N9v1[~ bv_ ' Delete any z-shift(s) BDjn
!3 count = 0 QC9eUYe While GetOperationCount(eID)>count =,UWX3`f GetOperation eID, count, op ,d {"m)r< If op.Type="ShiftZ" Then s[w6FXt DeleteOperation eID,count ~W{2Jd count=count-1 |563D#?cR End If E/%9jDTQ count=count+1 L{8xlx` Wend 28UU60 o
!vE~ 'Set new z-shift ::}{_ Z op.Type = "ShiftZ" p{j.KI s7 op.val1 = tlens c1E'$-
K@ op.parent = parID id1s3b; AddOperation eID, op Yj6*NZ* Print "Set lens thickness = " & tlens R~S;sJ& c Z7= `VNHc '************************************************************************* #~<0t(3Q 'Lens index of refraction _tYx~J2.Q '************************************************************************* 1*@'-mj eID = FindMaterial( "Lens" ) j4^9 7 GetModelMaterial eID, mat "-+\R}q$ T-U}QM_e mat.Nd = nlens Z)SY.iK. SetModelMaterial eID, mat n6BQk2l Print "Set lens index of refraction = " & nlens xo&]$W8 i}B2R$Z3 '************************************************************************* a_'2V; 'Pupil diameter hMykf4 '************************************************************************* d%V*|0c) eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) N _86t E.Jkf\ 'Adjust pupil diameter (trimming volume inner hole) qLB)XnQ Ljp%CI[i SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" C<m{*C-`a V{:A3C41 ' Adjust pupil location to just in front of the lens =5(>q5Z* parID = FindFullName( "Geometry.Arizona Eye" ) V0P>YQq9s eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 4\4FolsK count = 0 Cd>WUw While GetOperationCount(eID)>count 2AO~HxF GetOperation eID, count, op $h*L=t( If op.Type="ShiftZ" Then A m>cd; DeleteOperation eID,count T^Ze3L] count=count-1 K otrX End If mjKS{ count=count+1 r}mbXvn Wend Y]B)'[=h op.Type = "ShiftZ" z$?~Y(EY op.val1 = taq-0.01 "saUai4z op.parent = parID UHTvCc AddOperation eID, op &GB:|I'%7 u (em&M Print "Set pupil diameter = " & pupilDiam 'U\<IL#U hNH'XQxO 'Update AZ Eye subassembly Description Y}#J4i0b* eID = FindFullName( "Geometry.Arizona Eye" ) mg$]QnbAnH GetEntity eID, entity Cc%LztP> entity.Description = "Accommodation = " & A & "D" er!DYv SetEntity eID, entity <7j87 D0%Ug> Update b-{=s+: Print "DONE!" !AKg m'Nw ~e+\k>^eN End Sub ]Zyur` lna}@]oR 如果屈光度是4,光瞳直径是4,则会输出如下数据: 'VlDh`<W Z(ACc9k6:' Accommodation = 4 Diopters
ng_^ Pupil Diameter = 4 mm #py[ Set aqueous humor thickness = 2.81 o .qf _A Set anterior lens radius = 10.4 and conic constant = -2.375869 'Pn3%&O$ Set posterior lens radius = -4.424557 and conic constant = -3.081019 vA]W|sLF9 Set lens thickness = 3.927 7 D^gMN%p Set lens index of refraction = 1.42672 p%*%n3bw Set pupil diameter = 4 r0 ,:J DONE! (tZrw5@ p4-o/8rO 9/ibWa\. QQ:2987619807 9&_<f}ou
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