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简介 viJP6fh y&V'GhW!dd 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。 K)^8 :nt bq9/d4 模型 f`iDF+h<6 _M^^0kf 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。 z0%tBgqY( X|aD>CT Table 1. AZ眼睛模型的定义 y#= j{ 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. ZZ
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9t#~ dkeMiLm 光源 Cu_-QE FF;Fo}no- 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。 o$Y#C{wC% 06?d#{?M1o Er
-rm 图1. 光源和提示信息使用 k9;t3-P 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 R\<d&+q@ W0}FOfL9 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 de;CEm<n "xnULQK 图2. 字母F光源的设定方法光
LnM$@ 13*S<\ 图3. 字母F在视网膜上位置点列图 TF 80WMt 视网膜的散射 <AK9HPxP IVVX3RI 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。 h6}rOchj O<ybiPR 6J">@+ 图4. 视网膜朗伯散射设定 <\eRa{ef 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。 ~,Yd.?.TI a!f71k
r ~Orz<%k. 图5. 视网膜重点采样规格设定 m/;fY>}3 脚本 itg"dGDk `5"3Cj"M 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: GB;_!69I x&"P^gh) 图6. 用户对话框的创建与编辑 wEN[o18{ 图7. 用户对话框编辑器 suYbD!`( 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。 g9=_^^Tg 余下的脚本计算与屈光度有关的所有参数。 ddbQFAQQQ NNwGRoDco 分析 F)Z9Qlo oKH+Q6S: 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 Z$B%V t PIdGis5G 图7. 字母F在视网膜上颜色分析 H/Rzs$pnv 脚本代码 8'NT_NPNb OJh MM- Option Explicit 'Remove this to enable non-dimensioned variables to be used. 9p1@Lfbj '&2-{Y [! Dim entity As T_ENTITY <_]W1V:0 Dim op As T_OPERATION ~N7;.
3 7 Dim mat As T_MODELMATERIAL _^`V0>Mh: Dim A As Double zbGZ\pz Dim pupilDiam As Double owI:Qs_/4 Dim eID As Long V-E 77u6{0 Dim parID As Long >;R7r|^k Dim count As Integer ((<\VQ,>( Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double Rf2mBjJ(z Dim tlens As Double, nlens As Double b|;h$otC Dim curv As Double, conic As Double mIPDF1=) Dim ok As Long Mz86bb^J k+J63+obd Sub Main
Mz+vT0 =-&h@mB;G '用户输入对话框 >YsM'.EF D Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 Pc7p2 TextBox 220,21,40,21,.TextBox1 'default: 0 cYXL3)p*Q Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 I?Z"YR+MQ OKButton 40,91,90,21 TP~1-(M)} CancelButton 190,91,90,21 I Gi9YpI&K Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 "@|rU4Y TextBox 220,49,40,21,.TextBox2 'default: 4 tOxH 9 End Dialog *B84Y.d f Dim dlg As UserDialog d @ l ^FVmP d*1 ok = Dialog (dlg) #{^qBP[ uBn35% If ok=0 Then 'cancel button was pressed M{jq6c Print "Execution cancelled." \=`jo$S End ,oPxt End If pf+VYZ#) 4sW~7:vU 'Assign accommodation and pupil diameter & use defaults if field left empty bI_MF/r'' If dlg.TextBox1 = "" Then ]0[ot$Da6 A = 0 'Default accommodation g!o2vTt5 Else euW A = CDbl(dlg.TextBox1) ^HtB!Xc End If `e?~c'a@ ^4'!B
+}F If dlg.TextBox2 = "" Then
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}1mRv pupilDiam = 4 'Default pupil diameter y$_]}<b Else g}uSIv^ pupilDiam = CDbl(dlg.TextBox2) LR\8M(rtvH End If 5tzO=gO[ i[ws%GfEv Print " " 8OO[Le]1 Print "Accommodation = " & A & " Diopters" fO
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E} Print "Pupil Diameter = " & pupilDiam & " mm" m6]6!_ ll- KK`Ka ' Calculate new parameters with accommodation 7s!rer> taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness '
I!/I eT ]*c?" Rant = 12.0 - 0.4*A 'Radius of anterior lens 412E7 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens zMBGpqdP z|Yt|W Rpost = -5.224557 + 0.2*A 'Radius of posterior lens ;sq xFF@ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens bR~5
:A^ [9:";JSl"Y tlens = 3.767 + 0.04*A 'Lens thickness q">}3`k o~q.j_Sa nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction yF%e)6 )0"T?Ivp] 'Adjust parameters to account for accommodation }UQ,B K[
S>EITr '************************************************************************* 0vBQzM Q 'Aqueous thickness (Position of Lens) pG"hZB3) '************************************************************************* ;ceg:-Zqo eID = FindFullName( "Geometry.Arizona Eye.Lens" ) t)g%9 k^ GetCustomElement eID, entity T!HAE#xC /=A@O !l parID = FindFullName( "Geometry.Arizona Eye" ) C>mFylN W- nS{v( ' Delete any shift(s) in z RrYNtc count = 0 s0/m qZ]s While GetOperationCount(eID)>count jp@X,HES GetOperation eID, count, op csxn"Dz\ If op.Type="ShiftZ" Then ,dw\y/dn DeleteOperation eID,count Q~k|lTf count=count-1 ^tWSu?9 End If W1t_P&i count=count+1 m}zXy\ Wend qt/6o|V Wa.!eAe} 'Set new shift in *yo'Nqu op.Type = "ShiftZ" a|#pl! op.val1 = taq P4c3kO0 op.parent = parID #o9CC)q5G AddOperation eID, op :(tKc3z Print "Set aqueous humor thickness = " & taq-0.55 OYn5k6 7!FiPH~kM '************************************************************************* l @@pXg3 'Radius and conic constant of anterior lens F MYcZ+4 '************************************************************************* @ PhAg eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 6Yt3Oq<U GetConic eID, entity, curv, conic :,j^ei JP
{`^c SetConic eID, entity, 1/Rant, CCant @\xEK5 SG Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 8x7TK2r f~TkU\Rh '************************************************************************* :,R>e}lM 'Radius and conic constant of posterior lens .h4Z\R` '************************************************************************* E?|NYu#I6 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) b&1hj[`) GetConic eID, entity, curv, conic u|u)8;'9( ~|ZAS] SetConic eID, entity, 1/Rpost, CCpost H1KXAy`& Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost Gv
} :eB+t`M '************************************************************************* O&~
@ior 'Lens thickness (Position of posterior lens surface) 7Q~W}`Qv' '************************************************************************* hb/Z{T' f;l}Z|dok6 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) |E||e10wR <mTo54g ' Delete any z-shift(s) >c5 count = 0 b].U/=Hs While GetOperationCount(eID)>count [eTEK W] GetOperation eID, count, op 7M5HvG#w% If op.Type="ShiftZ" Then p} eO DeleteOperation eID,count US-f<Wq count=count-1 +>[zn End If *`/4KMrq count=count+1 -ik((qx_ Wend D(dV{^} 9 g}a+%Obb 'Set new z-shift [C~N#S[] op.Type = "ShiftZ" BC1smSlJ
op.val1 = tlens lU&2K$` op.parent = parID +u\w4byl AddOperation eID, op ~HT:BO$ Print "Set lens thickness = " & tlens n-qle5s j cd=H4:<T5 '************************************************************************* US9@/V*2 'Lens index of refraction R3)ccom '************************************************************************* v~._]f$: eID = FindMaterial( "Lens" ) aYHs35 GetModelMaterial eID, mat ^"vmIC.h :fy,%su mat.Nd = nlens VAyAXN~ SetModelMaterial eID, mat j>v8i
bS( Print "Set lens index of refraction = " & nlens .N\t3\9} Txpj#JD '************************************************************************* mY XL 'Pupil diameter qvhG^b0h '*************************************************************************
z{V#_( eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) YWV)C?5x& ?@Tsd@s~r 'Adjust pupil diameter (trimming volume inner hole) fmUrwI1 % ?hIDyM SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 9Q\B1Q gS] ' Adjust pupil location to just in front of the lens \X]I: 0^j parID = FindFullName( "Geometry.Arizona Eye" ) Pmr'W\aIR eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) q1r-xsjV= count = 0 F%%mcmHD# While GetOperationCount(eID)>count ,5 3`t GetOperation eID, count, op ('d,Sh If op.Type="ShiftZ" Then ,MHF DeleteOperation eID,count /!/Pk'p=/ count=count-1 B/hQvA;( End If g ssEdJ count=count+1 ;9J6)zg !n Wend G- ]_
d op.Type = "ShiftZ" b0se-#+
op.val1 = taq-0.01 G[OJ<px op.parent = parID Eb29tq AddOperation eID, op 9~K+h/ 7W&XcF Print "Set pupil diameter = " & pupilDiam ^HI2Vp Gs04)KJm< 'Update AZ Eye subassembly Description ']OT7)_ eID = FindFullName( "Geometry.Arizona Eye" ) :inVwc GetEntity eID, entity j[t2Bp entity.Description = "Accommodation = " & A & "D" hW;n^\lF#e SetEntity eID, entity EgzdRB\Cf <5ULu(b&$ Update ;LKYA?=/V Print "DONE!" F^}d>2W( lC
d\nE8G End Sub ,&Zk63V cN\_1 如果屈光度是4,光瞳直径是4,则会输出如下数据: 2:yXeSeA [w+1<ou;j Accommodation = 4 Diopters O\%0D.HEz Pupil Diameter = 4 mm v`6vc)>8 Set aqueous humor thickness = 2.81 OsYZa`$, Set anterior lens radius = 10.4 and conic constant = -2.375869 @x*,fk Set posterior lens radius = -4.424557 and conic constant = -3.081019 &{q'$oF Set lens thickness = 3.927 yaHkWkl
= Set lens index of refraction = 1.42672 '?X?'_3 Set pupil diameter = 4 C}9|e?R[Rz DONE! \3F)M`g
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