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简介 RV(z>XM 0G 1o3[F 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。 L,/i%-J3c %%[TM(z 模型 uK5Px! pwC/&bu 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。 Xlw=R2`)~ v a;wQ~& Table 1. AZ眼睛模型的定义 TZ2f-KI 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. YR.'JF`C %C:XzK-x 光源 z+I-3v ~MOCr 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。 b2%[9)"I. w}b+vh^3Wy o7seGw<$X 图1. 光源和提示信息使用 b4ivWb |` 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 t_Wn<)XA dp+Y?ufr 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 mio'm [\yI<^_a 图2. 字母F光源的设定方法光 Hd`RR3J (?[cDw/{J: 图3. 字母F在视网膜上位置点列图 AK =k@hT 视网膜的散射 Yv-uC}e U?{j 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 -y(V- Nj\WvKG 78-:hk 图4. 视网膜朗伯散射设定 ^D|c 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 jw[`\h}8 ~s_$a8 op C11c/ 图5. 视网膜重点采样规格设定 _K>m9Q2 脚本 '=@x2`U/ 9E+lriyY 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: Z}wAh|N- !c7Od
)] 图6. 用户对话框的创建与编辑 \m!."~% 图7. 用户对话框编辑器 ~^*tIIOX 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。 O7sn>uO 余下的脚本计算与屈光度有关的所有参数。 j@2 hI,+ |&Q=9H*e 分析 ![V-
e OUPpz_y 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 CmZ?uo+Y ^l,Jbt 图7. 字母F在视网膜上颜色分析 DI7trR` 脚本代码 ceCshxTU $7,dKC & Option Explicit 'Remove this to enable non-dimensioned variables to be used. b4wJnmC8 2H#vA Dim entity As T_ENTITY 4hs4W,2! Dim op As T_OPERATION 'Bx7b(xqk Dim mat As T_MODELMATERIAL C@-JH\{\T# Dim A As Double ^ytd~iK8 Dim pupilDiam As Double N_0O"" d Dim eID As Long 2~)]E#9 Dim parID As Long )94R\f Dim count As Integer e|LXH/H Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ^9nM)[/C? Dim tlens As Double, nlens As Double o%.cQo=v* Dim curv As Double, conic As Double rSk $]E ]Z Dim ok As Long 0)NHjKP ".u?-xcbJ Sub Main r/e&}! `dK\VK^ '用户输入对话框 M: 6cma5 Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 \Mi< ROp5 TextBox 220,21,40,21,.TextBox1 'default: 0 ^:0?R/A Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 82vx:*Ip!} OKButton 40,91,90,21 bCF63(0 CancelButton 190,91,90,21 ZS-9|EA< Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 \WTg0b[ TextBox 220,49,40,21,.TextBox2 'default: 4 weOMYJO;8 End Dialog ZttL*KK Dim dlg As UserDialog rW^&8E[ MouYZI) ok = Dialog (dlg) =h)H` 0[];c$r< If ok=0 Then 'cancel button was pressed
Du/s Print "Execution cancelled." J}x5Ko@ End -=RXhE_{ End If
DF~w20+ okYsjK5 'Assign accommodation and pupil diameter & use defaults if field left empty z 4-wvn<* If dlg.TextBox1 = "" Then G\ofg A = 0 'Default accommodation 0ePZxOSjD Else CeQcnJU A = CDbl(dlg.TextBox1) pd6d( End If `u U@( ObCwWj^qO If dlg.TextBox2 = "" Then r?Vob}'Pt] pupilDiam = 4 'Default pupil diameter ax<0grK Else Dt ?Fs pupilDiam = CDbl(dlg.TextBox2) 01Aa.i^d( End If ^c5(MR7LD Nl+2m4 Print " " 8+gn
Wy Print "Accommodation = " & A & " Diopters" gUMUh]j Print "Pupil Diameter = " & pupilDiam & " mm" n'gfB]H[ efhwbn ' Calculate new parameters with accommodation ZjcJYtD taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness uO6_lOT9n =Yfs=+O Rant = 12.0 - 0.4*A 'Radius of anterior lens K( p1+GHC CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens k5($b{ 2{&" 3dq Rpost = -5.224557 + 0.2*A 'Radius of posterior lens +$-a:zx`l CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 4MIVlg9 Np<Aak tlens = 3.767 + 0.04*A 'Lens thickness )Q8Q#S 0jXIx2y nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction !xvPG +]6 EkZO 'Adjust parameters to account for accommodation T \A uL yH`xk%q_ '************************************************************************* *<hpq) 'Aqueous thickness (Position of Lens) , ^nUi c '************************************************************************* /b*@dy eID = FindFullName( "Geometry.Arizona Eye.Lens" ) _)|!.r&)63 GetCustomElement eID, entity xv2;h4{< _EY:vv parID = FindFullName( "Geometry.Arizona Eye" ) HCu1vjU(] a'\`Mi@rb ' Delete any shift(s) in z rQWft r^ count = 0 7+ysE While GetOperationCount(eID)>count 7Ct m({I- GetOperation eID, count, op 0Zq"- If op.Type="ShiftZ" Then n0m9|T& DeleteOperation eID,count +)Ty^;+[1 count=count-1 FLWz7Rj End If eQc!@*:8U count=count+1 L}9@kjW Wend %*uqtw8 }$o%^"[ 'Set new shift in QIw.`$H+ op.Type = "ShiftZ" =_XcG!" op.val1 = taq /L~*FQQK> op.parent = parID 9\xw}ph AddOperation eID, op }'{(rU Print "Set aqueous humor thickness = " & taq-0.55 WULj@ds\~ (=X16}n:> '************************************************************************* -L[K1;Xv" 'Radius and conic constant of anterior lens '%MIG88 '************************************************************************* lz( 9pz eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) P8EGd}2{8 GetConic eID, entity, curv, conic k X-AC5] ZLV~It&) SetConic eID, entity, 1/Rant, CCant g&[g?L Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant Bm?Ku7}. m/ukH{H1% '************************************************************************* Vlf@T 'Radius and conic constant of posterior lens EKt-C_)U '************************************************************************* GwvxX&P eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) VjnSi GetConic eID, entity, curv, conic i^>
RjR r=k}EP&< SetConic eID, entity, 1/Rpost, CCpost v6rw. Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost ,P:.' qm '$R3g '************************************************************************* $~-j-0
\m 'Lens thickness (Position of posterior lens surface) 4e(@b3y '************************************************************************* EZHEJW'JnE J@5 OZFMZ parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 0uvL,hF zqeU>V~<F ' Delete any z-shift(s) >5j/4Ly count = 0 spI{d!c While GetOperationCount(eID)>count 3S9~rLrn? GetOperation eID, count, op lL^7x If op.Type="ShiftZ" Then zEGwQp< DeleteOperation eID,count 07#!b~N count=count-1
~)Z`Q End If ERZ[t\g) count=count+1 5|b/G Wend 8sg *qQ r~;N(CG 'Set new z-shift *vb)d0}P op.Type = "ShiftZ" V~wmGp.e op.val1 = tlens h;lnc|Hw op.parent = parID `Ctj]t AddOperation eID, op ?{2-,M0 Print "Set lens thickness = " & tlens ]+lr )ad-s '************************************************************************* n5i}J/Sa2 'Lens index of refraction qL#R
XUTP '************************************************************************* Nt'5} eID = FindMaterial( "Lens" ) XVfQscZe GetModelMaterial eID, mat fP|\1Y?CS IlrmXSr mat.Nd = nlens Dmw,Bi* SetModelMaterial eID, mat x:x QXjJ Print "Set lens index of refraction = " & nlens 3:gk:j# S]N4o'K}q '************************************************************************* 71%u|k8| 'Pupil diameter \,Ndg*qC '************************************************************************* ]'G7(Y\)f eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) pI`Ke" jt3SA
[cy 'Adjust pupil diameter (trimming volume inner hole) tFwlx3 L:<'TXsRA SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" c>g%oE ".\(A f2 ' Adjust pupil location to just in front of the lens SS`C0&I@p parID = FindFullName( "Geometry.Arizona Eye" ) 7Tbk ti; eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) X]!@xlwF\ count = 0 hqBRh+[ While GetOperationCount(eID)>count !8g
y)2 GetOperation eID, count, op RBXoU'. If op.Type="ShiftZ" Then
]Oy<zU DeleteOperation eID,count - \QtE}|4 count=count-1 -AE/,@ \P End If <'-me09C* count=count+1 -}J8|gwwp Wend R32d(2%5K op.Type = "ShiftZ" [OcD#~drO op.val1 = taq-0.01 DkIFvsLK op.parent = parID Jj " {r{ AddOperation eID, op )N<!3yOz j66@E\dN Print "Set pupil diameter = " & pupilDiam <G>PPf} *v+ fkg 'Update AZ Eye subassembly Description }>w4! eID = FindFullName( "Geometry.Arizona Eye" ) \K6J{;# L GetEntity eID, entity S\A[Z&k0
entity.Description = "Accommodation = " & A & "D" wu')Q/v SetEntity eID, entity Zux2VepT s<b7/;w' Update #"_MY- Print "DONE!" oB9m\o7$ Q1Ao65 End Sub X\%3uPQ yH^*Fp8V
如果屈光度是4,光瞳直径是4,则会输出如下数据: @XmkIm _HsvF[\[ Accommodation = 4 Diopters bed+Ur& Pupil Diameter = 4 mm R.N*G]K5 Set aqueous humor thickness = 2.81 @Hh"Y1B Set anterior lens radius = 10.4 and conic constant = -2.375869 In&vh9Lw Set posterior lens radius = -4.424557 and conic constant = -3.081019 /`> P|J Set lens thickness = 3.927 }b`*%141 Set lens index of refraction = 1.42672 H[
q{R Set pupil diameter = 4 N3p3"4_]fy DONE! 639k&"V
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