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简介 t&-c?&FO\; .UU) 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。 w$`u_P|@E: *7qa]i^] 模型 _k5$.f:Yj< u@aM8Na 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。 &VxK
AQMxN jRp @-S#V Table 1. AZ眼睛模型的定义 "WqM<kLa 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. NM1TFs2Y* Lve$H(GHT 光源 [n +( w_YY~Af 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 ZRUA w,T * #Z]<E6<=9 WX+@<y}% 图1. 光源和提示信息使用 QzYaxNGv 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 .>'J ^^ !)c0 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 lb]k"L%KU7 xH-} <7 图2. 字母F光源的设定方法光 "?YpF2pD V.[b${ 图3. 字母F在视网膜上位置点列图 QEEX|WM 视网膜的散射 'v@1_HHW\ S1!_ IK$m 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。 l`];CALA4 1'5!")r Z8pZm`g)T 图4. 视网膜朗伯散射设定 'eoI~*}3WQ 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。 OmP(&t7 \)PS&Y8n sk. rJ 图5. 视网膜重点采样规格设定 <pUc(
tPoz 脚本 m>b
i$Y S*rc XG6Q^ 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: !v 3wl0 c:}K(yAdd 图6. 用户对话框的创建与编辑 9a.[>4} 图7. 用户对话框编辑器 qxD<mZ@-R0 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 QpifO 余下的脚本计算与屈光度有关的所有参数。 y] ~X{v x[%% )[d 分析 S[uHPYhlA ::8E?c 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 !?)iP <lLk(fC 图7. 字母F在视网膜上颜色分析 J15$P8J 脚本代码 F^');8~L D%.<}vG Option Explicit 'Remove this to enable non-dimensioned variables to be used. R7By=Y!t jdVdz,Y Dim entity As T_ENTITY Q_a%$a.rV Dim op As T_OPERATION !!t@H\ Dim mat As T_MODELMATERIAL n1c Q#u Dim A As Double fKT(.VNq5 Dim pupilDiam As Double Z8Clm:S Dim eID As Long i@d@~M7/ Dim parID As Long %K]nX#.B& Dim count As Integer FdJC@Y-#uA Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ts0K"xmY\c Dim tlens As Double, nlens As Double /h%MWCZWm^ Dim curv As Double, conic As Double cl-i6[F Dim ok As Long S[M\com' ihhnB Sub Main !PrO~ %25_ '用户输入对话框 #$%gs] Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 +NEP*mk TextBox 220,21,40,21,.TextBox1 'default: 0 7f
td2lv Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 VbX$i!>8 OKButton 40,91,90,21 f:g<Bz=u)* CancelButton 190,91,90,21 -nT+!3A8 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 2jx+q TextBox 220,49,40,21,.TextBox2 'default: 4 Q-&]Vg End Dialog g^En6n) Dim dlg As UserDialog i&FC-{|Z ^ihXM]1{G ok = Dialog (dlg) i]LK,' ?8C+wW If ok=0 Then 'cancel button was pressed tg5jS]O Print "Execution cancelled." Gb\7W End #(*WxVE End If Fk(0q/b (^Do#3 'Assign accommodation and pupil diameter & use defaults if field left empty L ou4M If dlg.TextBox1 = "" Then {nOK*7+" A = 0 'Default accommodation NI s4v(! Else %dT%r=%Y A = CDbl(dlg.TextBox1) 0I?3@Nz6 End If |_2ANWHz xD?{Hw>QT# If dlg.TextBox2 = "" Then Ef `LBAfOO pupilDiam = 4 'Default pupil diameter 0_D~n0rq,v Else X7c*T / pupilDiam = CDbl(dlg.TextBox2) '\*Rw]bR| End If qryt1~Dq BK d( Print " " v,i:vT\~ Print "Accommodation = " & A & " Diopters" '7*=m^pc Print "Pupil Diameter = " & pupilDiam & " mm" YJ16vb9 '/
&" ' Calculate new parameters with accommodation -6tF taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness C${TC+z >6DY3\ Rant = 12.0 - 0.4*A 'Radius of anterior lens QT&{M
#Ydn CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens Ju9v n44 !d0@^JbM" Rpost = -5.224557 + 0.2*A 'Radius of posterior lens "^D6%I#T CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens cT0g, ^& T&23Pf 1 tlens = 3.767 + 0.04*A 'Lens thickness (
L6`_) %-'U9e KN nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction d|NNIf 8c|IGC 'Adjust parameters to account for accommodation }b^lg&$( BVNh>^W5B '************************************************************************* >SGSn/AJi 'Aqueous thickness (Position of Lens) GQZUC\cB '************************************************************************* V7@xr
M eID = FindFullName( "Geometry.Arizona Eye.Lens" ) T+ t-0k GetCustomElement eID, entity vZDQ@\HrC T?ZMmUE parID = FindFullName( "Geometry.Arizona Eye" ) 5Q}@Y3 i= H= y-Y_R ' Delete any shift(s) in z vxt^rBA count = 0 =%
JDo While GetOperationCount(eID)>count Bm7GU`j" GetOperation eID, count, op ]1[;A$7 If op.Type="ShiftZ" Then W[m_IY DeleteOperation eID,count WE7l[<b count=count-1 }Tef;8d End If 7A|jnm count=count+1 ~EM];i Wend -ur]k]R ,'673PR 'Set new shift in h5gXYmk op.Type = "ShiftZ" W*m[t&; op.val1 = taq /YbL{G
)j} op.parent = parID E)E! AddOperation eID, op >?'FH +2K Print "Set aqueous humor thickness = " & taq-0.55 @6!JW(,]\ I{PN6bn{> '************************************************************************* >8tuLd*T 'Radius and conic constant of anterior lens u@EM,o '************************************************************************* ?:nZv<
x eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) -CrZ'k;4 GetConic eID, entity, curv, conic g3XAs@ ezvaAhd{ SetConic eID, entity, 1/Rant, CCant 7e<Q{aB Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant K5lp-F {\&"I|dpe '************************************************************************* gsp7N 'Radius and conic constant of posterior lens NHF?73: '************************************************************************* ,lJ6"J\8. eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Sv@p!-m GetConic eID, entity, curv, conic ]EnaZWyO] k
I~]u SetConic eID, entity, 1/Rpost, CCpost kk'w@Sn.( Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost >nDnb4 'C 0d ->$gb '************************************************************************* %}!}2s.A 'Lens thickness (Position of posterior lens surface) \ c&)8.r '************************************************************************* }j1Zk4}[x R6XMBYK^ parID = FindFullName( "Geometry.Arizona Eye.Lens" ) N0[I2'^. ^BX@0"&- ' Delete any z-shift(s) h$k3MhYDes count = 0 7nz+n# While GetOperationCount(eID)>count J#DcT@ GetOperation eID, count, op v`BG1&/| If op.Type="ShiftZ" Then H|U/tU- DeleteOperation eID,count )^Pvm count=count-1 J\'5CG End If Zbh]OCN count=count+1 Xh"iP % Wend })lT fy wWU_?Dr_~ 'Set new z-shift gj,J3x4TK/ op.Type = "ShiftZ" ;
,<J:%s op.val1 = tlens S "Pj1 op.parent = parID v|(b,J3 AddOperation eID, op !u}3H|6~ Print "Set lens thickness = " & tlens jYX9;C;J `;CU[Ps?] '************************************************************************* FraW6T}_ 'Lens index of refraction bV*zMoD# '************************************************************************* KB R0p&MN eID = FindMaterial( "Lens" ) sC_UalOC_ GetModelMaterial eID, mat s;7qNwYO F^t?*
mat.Nd = nlens @:9fS SetModelMaterial eID, mat rDX'oP: Print "Set lens index of refraction = " & nlens o`mIi m%c0#=D '************************************************************************* ?_>^<1I1 'Pupil diameter <>i+R#u{ '************************************************************************* 4F,Ql"ae( eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) (TNY2Ke2 8 S<!_
u q 'Adjust pupil diameter (trimming volume inner hole) !5%5]9'n@* qf`xH"$ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" |;9 A{#zM hdtnC29$ ' Adjust pupil location to just in front of the lens zk'K.!
`^ parID = FindFullName( "Geometry.Arizona Eye" ) 2{B(j&{ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) C%_ count = 0 C<t'f(4s`u While GetOperationCount(eID)>count 8J3@VD. GetOperation eID, count, op +1Rrkok If op.Type="ShiftZ" Then ^I<T+X+< DeleteOperation eID,count j8Q5d` count=count-1 #;LMtDaL End If Cz@FZb8 count=count+1 pl x/}ah8 Wend M2E87w op.Type = "ShiftZ" $7n#\h op.val1 = taq-0.01 2K rqY op.parent = parID 4:Xj-l^D AddOperation eID, op +'['HQ) 3$N %iE6 Print "Set pupil diameter = " & pupilDiam *e3L4 7"G x`+
l# 'Update AZ Eye subassembly Description D<bU~Gd,P eID = FindFullName( "Geometry.Arizona Eye" ) #W@% K9 GetEntity eID, entity HIX=MprL< entity.Description = "Accommodation = " & A & "D" =Etwa SetEntity eID, entity =Esbeb7P `e?;vA& Update ?D(FNd Print "DONE!" EARfbb"SG7 ~+<xFi End Sub jemxky ] `B,L*m6 如果屈光度是4,光瞳直径是4,则会输出如下数据: S*CLt 6c2ThtL Accommodation = 4 Diopters r2SJp@f Pupil Diameter = 4 mm 6mBDd>`0 Set aqueous humor thickness = 2.81 nR o=J5tY Set anterior lens radius = 10.4 and conic constant = -2.375869 AGEZ8(h Set posterior lens radius = -4.424557 and conic constant = -3.081019 +2EHmuJ; Set lens thickness = 3.927 :_^0'ULP Set lens index of refraction = 1.42672 ?..i 4 Set pupil diameter = 4 eA1k)gjE DONE! *f `s%&Y]s *9dV/TT~f[ NqT1buU# QQ:2987619807 MOP]\ypn
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