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简介 pEc|h*p8 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。 >^cP]gGY
1_D|;/aI 模型 taS2b#6\+ 7j9:s>D 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。 Cu5fp.OS7 4!'1o`8vs Table 1. AZ眼睛模型的定义 zEG6T * 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. _j$"fg <h(KIY9T 光源 TU6e,G|t s}MD;V&0 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。 )E--E+j Z`5jX;Z! hT`kma 图1. 光源和提示信息使用 m `"^d # 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=1HZ3 6jv_j[[ 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。 q^:>sfd l)V!0eW 图2. 字母F光源的设定方法光 9`83cL $XBn:0U 图3. 字母F在视网膜上位置点列图 ?gknJ: 视网膜的散射 S6k
R o^2 UDjmXQ2, 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 3V)ef$Y0 N?xZ]?T $;kFuJF 图4. 视网膜朗伯散射设定 m:kXr^!D 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 {WBe(dc_% 4(
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+I 图5. 视网膜重点采样规格设定 8Ld`$_E 脚本 o!R.QI^2VT UL9]LEGG
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: *QKxrg -^1}J 图6. 用户对话框的创建与编辑 Hrjry$t/J 图7. 用户对话框编辑器 C%2BDj 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 ew13qpt)<L 余下的脚本计算与屈光度有关的所有参数。 [HRry2#s D4@).% 分析 KCBA`N8 {6*$ yLWK 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 Dno]N FEC`dSTI 图7. 字母F在视网膜上颜色分析 X;e=d+pw 脚本代码 M =/+q QN4{xf:}S Option Explicit 'Remove this to enable non-dimensioned variables to be used. ,9A1p06 yL2sce[ Dim entity As T_ENTITY 2XX- Dim op As T_OPERATION @AB}r1E2 Dim mat As T_MODELMATERIAL |wxAdPe Dim A As Double COc, Dim pupilDiam As Double 1>c^-"#e^ Dim eID As Long zIzL7oD Dim parID As Long
<<FBT`Y[ Dim count As Integer 9QXBz=Fnf Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double QZh#&Qf; Dim tlens As Double, nlens As Double \CU-a`n Dim curv As Double, conic As Double 5cUz^ > Dim ok As Long Z|#G+$"QV #+"1">l Sub Main 'bQjJRq! 5cF7w '用户输入对话框 *Cj<Vy Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 DqJzsk'd3 TextBox 220,21,40,21,.TextBox1 'default: 0 <eh<4_<qF Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 .)g7s? K OKButton 40,91,90,21 L^FQ|?* CancelButton 190,91,90,21 <WiyM[ep Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 oypF0?!m TextBox 220,49,40,21,.TextBox2 'default: 4 WHy
r;m3) End Dialog HhZ>/5'( Dim dlg As UserDialog :!QT , 1YtbV3 ok = Dialog (dlg) [*K.9}+G_ hnnVp_<] If ok=0 Then 'cancel button was pressed grxlGS~Q Print "Execution cancelled." +zg3/C4 S End 1>=]lMW End If adtgNwg S}3? 'Assign accommodation and pupil diameter & use defaults if field left empty L2Fi/UWM If dlg.TextBox1 = "" Then ^2`*1el A = 0 'Default accommodation u#+Is4Vh Else NtG^t}V A = CDbl(dlg.TextBox1) 0i>>CvAl} End If `sLD>@m \'6%Ld5km If dlg.TextBox2 = "" Then )@],0yL pupilDiam = 4 'Default pupil diameter UE-1p Else W.c>("gC pupilDiam = CDbl(dlg.TextBox2) 5i-VnG
End If h,ipQ> /], 9N Print " " 98*C/=^TH{ Print "Accommodation = " & A & " Diopters" Ae*
6&R4 Print "Pupil Diameter = " & pupilDiam & " mm" D$Ao-6QE
W `Krk<G ' Calculate new parameters with accommodation ?&D.b$ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness MxqIB(5k Prrz> Rant = 12.0 - 0.4*A 'Radius of anterior lens dN@C)5pm5` CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens t{e}3}LEd )T@?.J` Rpost = -5.224557 + 0.2*A 'Radius of posterior lens $U"pdf CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens L\q-Z.. j9R+;u/! tlens = 3.767 + 0.04*A 'Lens thickness eMtQa;Lc9o 'u9y\vUy nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ]]T,;|B x b!&'cw 'Adjust parameters to account for accommodation %zN~%mJG IeAi ' '************************************************************************* #&Rx?V 'Aqueous thickness (Position of Lens) Nk<H=kw+ '************************************************************************* xmejoOF eID = FindFullName( "Geometry.Arizona Eye.Lens" ) |=[._VH1 GetCustomElement eID, entity zd=N. ~<"{u-q#K parID = FindFullName( "Geometry.Arizona Eye" ) \=H+m% ;Q<2Y# ' Delete any shift(s) in z g6@^n$Y count = 0 2tS,q_-= While GetOperationCount(eID)>count 6 )lWuY]e GetOperation eID, count, op *JO%.QNg If op.Type="ShiftZ" Then 91UC>]}H DeleteOperation eID,count T3t
w.yh count=count-1 ITZ}$=
End If d~y]7h | count=count+1 |AS9^w Wend T+>W(w
i 6%&DJBU! 'Set new shift in ,qIut|C* op.Type = "ShiftZ" SKo*8r op.val1 = taq Vg7BK% op.parent = parID @DlN;r?Cv AddOperation eID, op 7|<-rjz^ Print "Set aqueous humor thickness = " & taq-0.55 ySHio;g9 +<)H2 '************************************************************************* EE*FvI` 'Radius and conic constant of anterior lens ,<;.'r
'************************************************************************* bLO^5` 6 eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) @4>?Y=# GetConic eID, entity, curv, conic 3m"9q }BiA@n, SetConic eID, entity, 1/Rant, CCant |%j7Es Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ki8Jl}dr nr%P11U\c '************************************************************************* aL/7xa 'Radius and conic constant of posterior lens j#9n.i
%h '************************************************************************* X`7O%HiX/` eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) p e$WSS J GetConic eID, entity, curv, conic G$jw#a[L vZIx> SetConic eID, entity, 1/Rpost, CCpost :Y4G^i Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost u9{Z*w3L7 /?S,u,R '************************************************************************* @Dd3mWKq 'Lens thickness (Position of posterior lens surface) ,DCrhk '************************************************************************* ]gVW&3ZW (~^KXJ{-> parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ;eP.B/N Cp#}x1{ ' Delete any z-shift(s) 1fV\84m^ count = 0 D}?JX5. While GetOperationCount(eID)>count /[|A(,N}{ GetOperation eID, count, op \m+;^_;5GW If op.Type="ShiftZ" Then R'aA\k- DeleteOperation eID,count $lF\FC count=count-1 1P/4,D@ End If W<H<~wf# count=count+1 BSg3 Wend ~.Cu,>fV YF13&E2`\ 'Set new z-shift U
zMIm op.Type = "ShiftZ" CPu~^ik op.val1 = tlens O_&Km[ op.parent = parID {y|j**NZ AddOperation eID, op %F] :nk` Print "Set lens thickness = " & tlens h\*I*I8C &MGM9
zm-] '************************************************************************* M;E$ ]Z9 'Lens index of refraction vtXZ`[D,l) '************************************************************************* >>0c)uC|W eID = FindMaterial( "Lens" ) 01o,9_|FL GetModelMaterial eID, mat yo#fJ` Q5tx\GE mat.Nd = nlens qr?RU .W SetModelMaterial eID, mat VY "i>Ae Print "Set lens index of refraction = " & nlens 1lf]}V .$"69[1H '************************************************************************* KgEfhO$W 'Pupil diameter :tBZu%N/N '************************************************************************* SgY\h{{sP eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) z229:L6" S$ 91L 'Adjust pupil diameter (trimming volume inner hole) 1fU~&?&-u GsC4ty SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 6#1:2ZHKG r#/Bz5Jb* ' Adjust pupil location to just in front of the lens FY <77i parID = FindFullName( "Geometry.Arizona Eye" ) +U,>D+ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) VHTr;(]hk count = 0 lcEin*Oc While GetOperationCount(eID)>count w1
tg7^(@ GetOperation eID, count, op 1IV
R4:a If op.Type="ShiftZ" Then &Ch~$Wb^ DeleteOperation eID,count :*s+X$x,< count=count-1 pt-
1>Ui End If J1{ucFa count=count+1 +
+G%~)S: Wend K^+}__;] op.Type = "ShiftZ" [49Ae2W` op.val1 = taq-0.01 IRl(H_. op.parent = parID ?<-ins AddOperation eID, op lF.yQ |!H@{o Print "Set pupil diameter = " & pupilDiam X3,+aL` B5fF\N^ 'Update AZ Eye subassembly Description 088"7 s eID = FindFullName( "Geometry.Arizona Eye" ) XbKNH> GetEntity eID, entity 'or8CGr^p entity.Description = "Accommodation = " & A & "D" $yg=tWk SetEntity eID, entity dt|f4XWF
Y+'522er Update IYk^eG:; Print "DONE!" 2OQDG7#Kc O)Mf/P' End Sub wx%TQ! u }~%9Pi 如果屈光度是4,光瞳直径是4,则会输出如下数据: JOm6Zc
KL\]1YX Accommodation = 4 Diopters +1j+%&). Pupil Diameter = 4 mm #-Ad0/ Set aqueous humor thickness = 2.81 [#-!&> Set anterior lens radius = 10.4 and conic constant = -2.375869 .a *^6TC. Set posterior lens radius = -4.424557 and conic constant = -3.081019 -L%2*`-L$ Set lens thickness = 3.927 s.7s:Q` Set lens index of refraction = 1.42672 ,dO$R.h Set pupil diameter = 4 czv )D\* DONE! 5};$>47m Vdz(\-}ao (文章来源:讯技光电)
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