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简介 {Z#e{~m# n5v' 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。 e"fN~`NhY =naR{pI 模型 AfRW=&xdT SE^j= 1 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。 zLsb`)! V06CCy8n Table 1. AZ眼睛模型的定义 !/j,hO4Z4 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. <)O>MI'
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@~k5+Z 光源 Q(510) 3`A>j" 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。 p^1zIC>F }bf=Ntk F$Im9T6 图1. 光源和提示信息使用 V1SqX:;b& 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。 %9C` TN35CaSmq 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。 /gz:zThf{ "l@A[@R 图2. 字母F光源的设定方法光 ;gDMl57PQ. MpOR Gd 图3. 字母F在视网膜上位置点列图 l{Jt s I 视网膜的散射 l|YT[LR7 }I]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。 q!6|lZ B3 HH)"]E5 c$0_R;4/ 图4. 视网膜朗伯散射设定 CjZZm^O 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 8|O=/m ^] } h[>U ?c!:81+\ 图5. 视网膜重点采样规格设定 xS'zZ%? 脚本 3bC+Mco )^4hQ3BS 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: '\`6ot8 0n3D~Xzd 图6. 用户对话框的创建与编辑 V vu(`9u] 图7. 用户对话框编辑器 CSL#s^4T 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 ;54(+5pqx 余下的脚本计算与屈光度有关的所有参数。 x?"#gK`3; 17}$=#SX 分析 [*8Y'KX < $I@GUtzjp 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 #^6^ >3 l=*|9 图7. 字母F在视网膜上颜色分析 c'Z:9?#5 脚本代码 u$%A#L[ q$[n`w- Option Explicit 'Remove this to enable non-dimensioned variables to be used. KOey8tB)1 zB*euHIqZ Dim entity As T_ENTITY 2j&v;dmh< Dim op As T_OPERATION vJ"i.:Gf4 Dim mat As T_MODELMATERIAL )%mg(O8uL Dim A As Double BkawL, Dim pupilDiam As Double a(;!O}3_)( Dim eID As Long 2*[QZ9U[@ Dim parID As Long FJeiY#us Dim count As Integer ;o0#(xVz Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double x5}lgyt Dim tlens As Double, nlens As Double VWx]1\ Dim curv As Double, conic As Double .oqIZ\iik Dim ok As Long wN97_Y=`n e_.Gw"/Yl Sub Main ]kD"&&HV LY 0]l$ '用户输入对话框 -)v@jlg02 Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 _ \D"E>oM TextBox 220,21,40,21,.TextBox1 'default: 0 nirDMw[ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 O^Q,-=tA\ OKButton 40,91,90,21 .5w azvA CancelButton 190,91,90,21 OcmRZ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ` qUX. TextBox 220,49,40,21,.TextBox2 'default: 4 %Jp|z? [/ End Dialog ! zL1;d Dim dlg As UserDialog eF~dQ4RZ r^0F"9eOL ok = Dialog (dlg) dtZE67KS : g6n,p_# If ok=0 Then 'cancel button was pressed ),(V6@Z? Print "Execution cancelled." }!p`1]gem End t~``md4 End If IgIYguQ XJ1=m 'Assign accommodation and pupil diameter & use defaults if field left empty cA)[XpQ:+W If dlg.TextBox1 = "" Then nhT-Ido A = 0 'Default accommodation H1/?+N}( Else o`n$b(VZ A = CDbl(dlg.TextBox1) )5_jmW`n End If ICC%,$C~l -0Cnp/Yj@ If dlg.TextBox2 = "" Then mh.+."<)F pupilDiam = 4 'Default pupil diameter ?QZ"JX]) Else ea'&xs#GK pupilDiam = CDbl(dlg.TextBox2) x79Ha, End If `R"~v/x U75Jp%bL Print " " -' g*^ Print "Accommodation = " & A & " Diopters" *.#oxcll Print "Pupil Diameter = " & pupilDiam & " mm" ?t](a:IX UC
HZ2& ' Calculate new parameters with accommodation asHxL! taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness as*4UT3 s{0aBeq Rant = 12.0 - 0.4*A 'Radius of anterior lens CVNj-&vj CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens S35~Cp \xv;sl$f Rpost = -5.224557 + 0.2*A 'Radius of posterior lens e:'?*BYVg3 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens XI<L; 8[vc?+>& tlens = 3.767 + 0.04*A 'Lens thickness 3 ZEB ZJPmR/OV_ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction `d7n?|pD 9KWuN:Sg 'Adjust parameters to account for accommodation km~Ll '2^7-3_1 '************************************************************************* a.N{-2ptH 'Aqueous thickness (Position of Lens) VTy9_~q '************************************************************************* El\%E"Tk% eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 7lV.[&aKW GetCustomElement eID, entity I$q]. B wX >*H parID = FindFullName( "Geometry.Arizona Eye" ) I9h ?;( 'R-3fO??? ' Delete any shift(s) in z mKrh[nA count = 0 yY?b.ty While GetOperationCount(eID)>count *Kdda}
J+ GetOperation eID, count, op (hiyNMC If op.Type="ShiftZ" Then IxLhU45 DeleteOperation eID,count 8NyJc"T<. count=count-1 ~ab:/!Z End If 'AN>`\mR$ count=count+1 3k#~yaoI Wend nRyU]=-X =UUU$hq2 'Set new shift in Zm6{n' op.Type = "ShiftZ" sMu]
/'7 op.val1 = taq .o) `m9/ op.parent = parID lXcx@#~ AddOperation eID, op wF(( Print "Set aqueous humor thickness = " & taq-0.55 [w%
qV 6 xJ#d1[kzo '************************************************************************* UQ{L{H 'Radius and conic constant of anterior lens /p8dZ+X '************************************************************************* "[y-+)WTG eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ZK>WW GetConic eID, entity, curv, conic `
,SiA-3* }Y;K~J SetConic eID, entity, 1/Rant, CCant /!c${W!sY Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant d_IAs |JQQU!x '************************************************************************* Ii G6<|d8H 'Radius and conic constant of posterior lens tQS5hwm* '************************************************************************* Q%xC}||1s" eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) I:mr}mv=i GetConic eID, entity, curv, conic q
FAT]{{ U&?v:&c#&n SetConic eID, entity, 1/Rpost, CCpost 9I4K}R Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost [eC2"&} tCdqh- '************************************************************************* V,%=AR5 'Lens thickness (Position of posterior lens surface) ,^C--tgZJg '************************************************************************* H ' DQr Y*nH parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 0tXS3+@n= Q\ 0cvmU ' Delete any z-shift(s) s,]z[qB#$ count = 0 ME*LHr, While GetOperationCount(eID)>count g"}%2~Urf GetOperation eID, count, op ,^2>k3= If op.Type="ShiftZ" Then Fvbh\m
~ DeleteOperation eID,count sVOyT*GY count=count-1 G|!on<l& End If ee^{hQi count=count+1 ;IZwTXu !S Wend R}!:'^ AJF#Aw `o 'Set new z-shift /w}u3|L$ op.Type = "ShiftZ" e]zBf;9J op.val1 = tlens y~U #veY op.parent = parID x8V('` }j AddOperation eID, op oY H^_V Print "Set lens thickness = " & tlens z?R|Ok `u&Rsz&^ '************************************************************************* \D*KGd]M0 'Lens index of refraction <h:x= '************************************************************************* "W955?4m eID = FindMaterial( "Lens" ) L?mrbay GetModelMaterial eID, mat %z,mB$LY
HMh"}I2n mat.Nd = nlens ~d|A!S` SetModelMaterial eID, mat ?kbiMs1;u Print "Set lens index of refraction = " & nlens >I-RGW'A of%Ktm5Qi '************************************************************************* _x(o*v[Pt 'Pupil diameter Qp_isU '************************************************************************* [\v}Ul eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 5K>3My# $5aV:Z3P 'Adjust pupil diameter (trimming volume inner hole) <lx+/o Q ayPo]O SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" _E@2ZnD2 !Qu"BF ' Adjust pupil location to just in front of the lens =Y|VgV parID = FindFullName( "Geometry.Arizona Eye" ) .WA-&b_ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) x[~b2o count = 0 lb4Pcdj While GetOperationCount(eID)>count 4i)1'{e GetOperation eID, count, op CkOz If op.Type="ShiftZ" Then ,8U&?8l DeleteOperation eID,count "l3_=Gua count=count-1 +Vb.lH[av End If X(
\AB count=count+1 _S<3\%(0 Wend LG{,c.Qj* op.Type = "ShiftZ" _{I3i:f9X8 op.val1 = taq-0.01 XixL R op.parent = parID x-WmMfcz& AddOperation eID, op 8]M ;T>n[ JU1~e@/'% Print "Set pupil diameter = " & pupilDiam KKja/p 44ek
IV+? 'Update AZ Eye subassembly Description '}ptj@, eID = FindFullName( "Geometry.Arizona Eye" ) c69C GetEntity eID, entity #^u$ entity.Description = "Accommodation = " & A & "D" R1adWBD> SetEntity eID, entity \FQRNj?'_ \tf<B\oa Update g/ T
Print "DONE!" YqhAZp< pA'4|ffwe End Sub k3lS8d7 BRw .]&/ 如果屈光度是4,光瞳直径是4,则会输出如下数据: g!g#]9j }^ApJS(FQ Accommodation = 4 Diopters 2%DSUv:H% Pupil Diameter = 4 mm l5S aT,% Set aqueous humor thickness = 2.81 zJq~!#pZ Set anterior lens radius = 10.4 and conic constant = -2.375869 -o^7r@6 Set posterior lens radius = -4.424557 and conic constant = -3.081019 v,FU^f-' Set lens thickness = 3.927 LdYB7T,
Set lens index of refraction = 1.42672 ]FJjgu< |