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简介 nlB'@r 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。 H[.)&7M\ Chnt)N`/B4 模型 Dc0=gq0 *>W<n1r@] 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。 nV8'QDQ:Al d\>XfS Table 1. AZ眼睛模型的定义 8D)1ZUx7` 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. ~RVlc;W m
OUO)[6y 光源 V$hL\`e #,z-Pj?O! 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 "T=j\/Q |1_$\k9Y& 4k^P1 图1. 光源和提示信息使用 vNjc 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。 !Np7mv\7 w ?_8OJ 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。 _<f%==
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P)|P 图2. 字母F光源的设定方法光 C0f%~UMwd @@*x/"GJG 图3. 字母F在视网膜上位置点列图 6V$ )ym*F 视网膜的散射 ied1+H *~P| ? D' 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。 3?j:M]fR p7> 9
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a 图4. 视网膜朗伯散射设定 #+D][LH4 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。 *e [* 1f+A_k/@ yFk|8d-| 图5. 视网膜重点采样规格设定 ]CNPy$>* 脚本 KH#z =_ CP\[9#]: 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: ]a/dvj} KC}G_"f.$ 图6. 用户对话框的创建与编辑 ngZq]8=o 图7. 用户对话框编辑器 f4pIF"U9> 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。 %pjY ^tM/ 余下的脚本计算与屈光度有关的所有参数。 F1BvDplQ>G fUf1G{4 分析 I N3-ZNx N<SW
$ o 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ! xM=7Q
k !x-__[# 图7. 字母F在视网膜上颜色分析 lfb+ )s 脚本代码 Mhn1-ma: .BJoY
<P* Option Explicit 'Remove this to enable non-dimensioned variables to be used.
yHE\Q 07>m*1G Dim entity As T_ENTITY +mBS&FK Dim op As T_OPERATION &i3SB[| Dim mat As T_MODELMATERIAL |e!Y
C iU Dim A As Double (&79}IEd Dim pupilDiam As Double _YlyS )#@ Dim eID As Long afHRy:<+% Dim parID As Long e=h-}XRC Dim count As Integer T\Xf0|y Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double FWeUZI+ Dim tlens As Double, nlens As Double 7l-MVn_8 Dim curv As Double, conic As Double "Ai\NC Dim ok As Long -flcB|I` i?d545. u Sub Main ]0<K^OIY Hc8^w6S1@ '用户输入对话框 JtSwbdN Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ?`Z:vqp>Z TextBox 220,21,40,21,.TextBox1 'default: 0 eb}XooX Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 - s'W^( OKButton 40,91,90,21 1E!.E=Y?M CancelButton 190,91,90,21 .s"Og;g Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 6wpu[ TextBox 220,49,40,21,.TextBox2 'default: 4 }U=}5`_]D End Dialog G[ns^ Dim dlg As UserDialog 7./WS,49 shdzkET8N ok = Dialog (dlg) /Bgqf,N | @?J7=}bzz If ok=0 Then 'cancel button was pressed FT>>XP8 Print "Execution cancelled." 3%r/w7Fc End e~*tQ4 End If NApy(e5% 7)}_'p 'Assign accommodation and pupil diameter & use defaults if field left empty U.Vn|s(`z If dlg.TextBox1 = "" Then +MHIZI A = 0 'Default accommodation ;uc3_J] Else OR+_s @Yg A = CDbl(dlg.TextBox1) WU=EJY}#n End If #]^C(qmb: HZ!<dy3 If dlg.TextBox2 = "" Then /C'_-U? pupilDiam = 4 'Default pupil diameter |Wck-+}U Else 5`&@3
m9/ pupilDiam = CDbl(dlg.TextBox2) #F3'<(j End If N!<l~[rc @g`|ob]9 Print " " ODKh/u_ Print "Accommodation = " & A & " Diopters" $<=d[6 Print "Pupil Diameter = " & pupilDiam & " mm" }+S~Ah?( r/':^Ex ' Calculate new parameters with accommodation n>B
,O taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness .K-d HD{u#~8{ Rant = 12.0 - 0.4*A 'Radius of anterior lens OXZK|C;M} CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 7s%1?$B Q~Nq5[ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens ?HOnDw.v1 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens
)bYOy+2g rFt+Y}) tlens = 3.767 + 0.04*A 'Lens thickness D|$0~1y
!Q_Kil.9 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction FeZW S>N "ivVIq2 'Adjust parameters to account for accommodation N`,,sw dj9i*#F '************************************************************************* FmF[S&gFRs 'Aqueous thickness (Position of Lens) p]~PyzG! '************************************************************************* .#sX|c=W eID = FindFullName( "Geometry.Arizona Eye.Lens" ) VR_/Vh]@ GetCustomElement eID, entity `tT7&*Os >(YH@Z&; parID = FindFullName( "Geometry.Arizona Eye" ) 0S+$l mW[w4J+7P ' Delete any shift(s) in z T^+K`U count = 0 gyy}-^`F While GetOperationCount(eID)>count %< ;u
JP K GetOperation eID, count, op ;InMgo, If op.Type="ShiftZ" Then A? jaS9 &) DeleteOperation eID,count xi<}n# count=count-1 6W]C` End If afaQb count=count+1 {#@[ttw$U Wend dci,[TEGu K'Wv$[~Dc 'Set new shift in S+eu3nMq op.Type = "ShiftZ" 6v}q @z op.val1 = taq /IX555/dR1 op.parent = parID pFu!$.Fr AddOperation eID, op is%ef Print "Set aqueous humor thickness = " & taq-0.55 2.@IfBF6 eLHhfu;k '************************************************************************* e<A>??h^ 'Radius and conic constant of anterior lens (B@\Dw8^ '************************************************************************* ^xgPL' eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) EN}4-P/5 GetConic eID, entity, curv, conic 6&LmR75C 7FaF]G SetConic eID, entity, 1/Rant, CCant /{[tU-}qJ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant F$|d#ny )"tM[~e` '************************************************************************* cuf]-C1_ 'Radius and conic constant of posterior lens -
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i '************************************************************************* "~K ph0- eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) +>Y]1IlI GetConic eID, entity, curv, conic J5f}-W@ ?%Q=l;W. SetConic eID, entity, 1/Rpost, CCpost QR-pji
y Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost sQrM"i0Y> \SgBI/L^ '************************************************************************* \7o7~pll 'Lens thickness (Position of posterior lens surface) |hDN$By '************************************************************************* YiL^KK L&|^y8 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ZRr.kN+F QQ=tiW ' Delete any z-shift(s) %l%2 hvGZ count = 0 7a/
BS(kq< While GetOperationCount(eID)>count ]}&HvrOld GetOperation eID, count, op @o<B>$tbu4 If op.Type="ShiftZ" Then R$eEW"] DeleteOperation eID,count CqX*.j{ count=count-1 ;kG"m7-/ End If HYJEz2RF count=count+1 p~(STHDe# Wend iK5[P S,Qa\\~z 'Set new z-shift OSJj^Y)W| op.Type = "ShiftZ" X
VH(zJ op.val1 = tlens {?cF2K# op.parent = parID h]Gvt 5 AddOperation eID, op -0k{O@l" Print "Set lens thickness = " & tlens %bG\ ?l|&JgJ$ '************************************************************************* ;c@B +RquR 'Lens index of refraction nF,zWr[x '************************************************************************* 9m"EY@- eID = FindMaterial( "Lens" ) }1a(*s,s-^ GetModelMaterial eID, mat ['6Sq@c) s,|v,,<+ mat.Nd = nlens eG dFupfz SetModelMaterial eID, mat 3"Kap/[h Print "Set lens index of refraction = " & nlens +QSH*(, >@-BZJg/k '************************************************************************* (K ]wk9a 'Pupil diameter f$?`50D"1 '************************************************************************* &!+1GI9z
eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) gEgd/Le *^Z -4 'Adjust pupil diameter (trimming volume inner hole) u&f|z9 je%y9*V SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" w`/~y
$P #KL// ' Adjust pupil location to just in front of the lens 9'vf2) " parID = FindFullName( "Geometry.Arizona Eye" ) 4jVd eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) #~r+Z[(,p count = 0 xaq/L:I< While GetOperationCount(eID)>count UnZc9 6 GetOperation eID, count, op dL1{i,M If op.Type="ShiftZ" Then $/E{3aT@F2 DeleteOperation eID,count zP$"6~. count=count-1 {3Dm/u%=9| End If Q[T)jo,j% count=count+1 ki?V
eFp Wend A#F6~QX(.9 op.Type = "ShiftZ" =6qSo
@ op.val1 = taq-0.01 4Le{|B op.parent = parID 9S5C{~P4 AddOperation eID, op #zb6 7mg~ H.tfn>N| Print "Set pupil diameter = " & pupilDiam l5enlYH @k-GyV-v 'Update AZ Eye subassembly Description OskQ[
e0 eID = FindFullName( "Geometry.Arizona Eye" ) zgxMDLH GetEntity eID, entity T I yHM1+ entity.Description = "Accommodation = " & A & "D" j}G9+GX~, SetEntity eID, entity pT:6A[& %^u
e Update }C
JK9*Z Print "DONE!" oSO~72 8b25D|8l End Sub FlbM(ofY DeQZDY // 如果屈光度是4,光瞳直径是4,则会输出如下数据: Q_k'7Z\g$ 8(!?y[ Accommodation = 4 Diopters &i*e&{L7 Pupil Diameter = 4 mm TH~"y Set aqueous humor thickness = 2.81 [E qZj/ Set anterior lens radius = 10.4 and conic constant = -2.375869 @8cn<+"b Set posterior lens radius = -4.424557 and conic constant = -3.081019 }e>OmfxDBt Set lens thickness = 3.927 *M6j)jqV Set lens index of refraction = 1.42672 ]1q`N7 Set pupil diameter = 4 Ed#Hilk' DONE! ~#=70 c$;Cpt@-j (文章来源:讯技光电)
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