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简介 jE#8&P~ 2UF94 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。 Ic}ofBK ]Yg EnZ 模型 Dkb&/k:) _p&$X 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 !`_f\ ='0!B]<G Table 1. AZ眼睛模型的定义 DKl7|zG4 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. 0I((UA/7Zs GU3/s&9 光源 ^0Q*o1W YZl%JX 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 _zh5KP[{ e_], O_Z
A232"p_ 图1. 光源和提示信息使用 fO^6q1a 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 .Qt3!ek H Im,
"iYk 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 Hz8`)cv` C8:"+; 图2. 字母F光源的设定方法光 H4NEB1TO> %KF:-
w 图3. 字母F在视网膜上位置点列图 v{ n}%akc 视网膜的散射 od1omYsR "PaGDhS 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 >UY_:cW4%m o2 d~ |nN/x<v 图4. 视网膜朗伯散射设定 FH8mK) 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 j7#GqVS' K<6x4ha k_<{j0z. 图5. 视网膜重点采样规格设定 [IFRwQ^%_O 脚本 *t{c}Y&@ 2?iOB6 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: WV1 Z xsDa! 图6. 用户对话框的创建与编辑 ;&6PL]/d 图7. 用户对话框编辑器 >x
ghq 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 e[mhbFf- 余下的脚本计算与屈光度有关的所有参数。 Q5nyD/k4c o?K|[gNi 分析 O6,"#BX n/oipiYx 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 =veOVv[Q&/ >B /&V|E 图7. 字母F在视网膜上颜色分析 :$i:8lz
脚本代码 v7FRTrqjj gkML .u Option Explicit 'Remove this to enable non-dimensioned variables to be used. yj'' \ ;K\N Dim entity As T_ENTITY eM=) >zl Dim op As T_OPERATION ; [%}Xx Dim mat As T_MODELMATERIAL ^[}0&_L
w Dim A As Double OI_/7@L Dim pupilDiam As Double VnSj:LUD Dim eID As Long iW1ih QX Dim parID As Long QeeC2 Dim count As Integer hLbT\J`I Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double
0IgnpeA] Dim tlens As Double, nlens As Double o1X/<.0+ Dim curv As Double, conic As Double &1E~ \8U Dim ok As Long `bZU&A(`Be 6!%d-Z7) Sub Main S2ppKlVv *76viqY;dE '用户输入对话框 0uIV6LI Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 HS6Imi TextBox 220,21,40,21,.TextBox1 'default: 0 4ZJT[zi Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 SXBQ OKButton 40,91,90,21 3H'nRK}, CancelButton 190,91,90,21 #EmffVtY Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 sb|3|J6= TextBox 220,49,40,21,.TextBox2 'default: 4 vbA7I<; End Dialog {nPkb5xbW Dim dlg As UserDialog a|P~LMPM g)9JO6] ok = Dialog (dlg) +# RlX3P I*W9VhIOV If ok=0 Then 'cancel button was pressed -S,ir Print "Execution cancelled." E]H End Sz|Y$, End If g/l0}% /;<e. 'Assign accommodation and pupil diameter & use defaults if field left empty we\b] If dlg.TextBox1 = "" Then ~w1{zxs A = 0 'Default accommodation "6E1W,|{ Else nI*(a: A = CDbl(dlg.TextBox1) PUE'Rr(Q End If (I7&8$Zl 9xK4!~5V If dlg.TextBox2 = "" Then lbKv pupilDiam = 4 'Default pupil diameter b#p~F}qT Else \za5:?[xB pupilDiam = CDbl(dlg.TextBox2) I(^jOgYU End If T$n>7X-r 4>$
;gH Print " " Jcalf{W6 Print "Accommodation = " & A & " Diopters" CRc!|? Print "Pupil Diameter = " & pupilDiam & " mm" hsHVX[<5` !bZhj3. ' Calculate new parameters with accommodation r*i$+ Z taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness "rjv5*z^& 'YZI>V* Rant = 12.0 - 0.4*A 'Radius of anterior lens 6bbZ<E5At CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens h;EwkbDQg> Q{qj Rpost = -5.224557 + 0.2*A 'Radius of posterior lens ZL-uwI!`D CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens X(r)Z\ Jt-XmGULB tlens = 3.767 + 0.04*A 'Lens thickness +}c|O+6g :]B%
>*;} nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction Y7*(_P3/ Z:_m}Ya| 'Adjust parameters to account for accommodation e;A^.\SP ^MW\t4pZ '************************************************************************* %aj7-K6:t 'Aqueous thickness (Position of Lens) kyW6S+ #- '************************************************************************* 943I:, B eID = FindFullName( "Geometry.Arizona Eye.Lens" ) -+3be(u GetCustomElement eID, entity ]]p19 [4s |5oKq'(b parID = FindFullName( "Geometry.Arizona Eye" ) ^%n124 -H1"OJ2aF
' Delete any shift(s) in z 0|+>A?E}E count = 0 n!0${QVnS While GetOperationCount(eID)>count ~vW)1XnK GetOperation eID, count, op \LIy:$`8
If op.Type="ShiftZ" Then ,}9f(` DeleteOperation eID,count =cf{f]N count=count-1 M&uzOK+ End If v}7@CP]nV count=count+1 *Rz{44LP& Wend 8 A2if9E3 RGT_}ni 'Set new shift in b@=zrhQ op.Type = "ShiftZ" `4VO&lRm op.val1 = taq Xtci0eS#V op.parent = parID -Bo86t)F AddOperation eID, op ^G}# jg. Print "Set aqueous humor thickness = " & taq-0.55 Bz~ -2#l !"g=&Uy& '************************************************************************* .cw!ls7d 'Radius and conic constant of anterior lens 7d3'CQQ4 '************************************************************************* mWNR( ()v eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) \Os:6U=X- GetConic eID, entity, curv, conic _ymJ~MK _FL<egK SetConic eID, entity, 1/Rant, CCant sS
C?io Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 98BYtxa 3H1Pp*PH '************************************************************************* y7CWBTH0> 'Radius and conic constant of posterior lens 8ou e-:/a '************************************************************************* HDyQzCG, eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) g93I+ GetConic eID, entity, curv, conic e &d3SQ% Kn']n91m SetConic eID, entity, 1/Rpost, CCpost <e'P%tG' Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost :FnOS<_B 2bWUa~%B '************************************************************************* ppEJs 'Lens thickness (Position of posterior lens surface) a]`itjL^ '************************************************************************* ^rL,&rk Was'A+GZ parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 1XG$ z@NN G]b8]3^ ' Delete any z-shift(s) iDZrK%fl count = 0 y
$:yz; While GetOperationCount(eID)>count *]5z^>
q;7 GetOperation eID, count, op !&W|myN^ If op.Type="ShiftZ" Then A
6 :Q< DeleteOperation eID,count 5!~!j
"q count=count-1 4 &|C} End If 5Yl6? count=count+1 Gi*<~`Gr Wend :ztyxJv1
pL~=Z?(B 'Set new z-shift M^uU4My op.Type = "ShiftZ" 5lO^;.cS, op.val1 = tlens [G\o+D?2 op.parent = parID G[#.mD{k AddOperation eID, op K<#-"Xe; Print "Set lens thickness = " & tlens L.kD,'G}> 8\DME '************************************************************************* L7m`HVCt& 'Lens index of refraction A]j}' '************************************************************************* g&bwtEZ eID = FindMaterial( "Lens" ) `0?^[;[u[ GetModelMaterial eID, mat B3Mx,uXT\ 0rcjorWI mat.Nd = nlens u^l*5F%DK SetModelMaterial eID, mat y<|)'( Print "Set lens index of refraction = " & nlens $Buf#8)F* mY`@' '************************************************************************* dQai4e>[ 'Pupil diameter %lV@:"G '************************************************************************* vb
%T7 eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ?ZaD=nh$mK bK<}0Ja[ 'Adjust pupil diameter (trimming volume inner hole) %]#VdS|N FZpsL-yx^N SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" %[XY67A3I Q3,=~}ZNK ' Adjust pupil location to just in front of the lens \dTQQ parID = FindFullName( "Geometry.Arizona Eye" ) %@P`` eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) =5Wp&SM6 count = 0 jXWNHIl)@ While GetOperationCount(eID)>count D
M}s0O$0 GetOperation eID, count, op JR)/c6j If op.Type="ShiftZ" Then x<s|vgl| DeleteOperation eID,count 7WP%J-
count=count-1 E+z18Lf? End If C3)|<E count=count+1 q3)wr%!k5D Wend Ft)
lp>3gv op.Type = "ShiftZ" tOM(U-7Z& op.val1 = taq-0.01 H}
6CKP} op.parent = parID ]~8v^A7u AddOperation eID, op &n|*uLn
J\{$ot Print "Set pupil diameter = " & pupilDiam ;E#\ Q&PB]D{ 'Update AZ Eye subassembly Description &bLC(e] eID = FindFullName( "Geometry.Arizona Eye" ) f>z`i\1oO GetEntity eID, entity b=1%pX_ entity.Description = "Accommodation = " & A & "D" !}5*?k
g SetEntity eID, entity xr.XU' _f3
WRyN0 Update W' ep6O Print "DONE!" AK *N 4\6:\ End Sub 9 mPIykAj8 ~{M@?8wi 如果屈光度是4,光瞳直径是4,则会输出如下数据: 2tf6GX: KDD@%E Accommodation = 4 Diopters Sl>>SP Pupil Diameter = 4 mm jV^C19 Set aqueous humor thickness = 2.81 Hbk&6kS Set anterior lens radius = 10.4 and conic constant = -2.375869 C(o.Cy6 Set posterior lens radius = -4.424557 and conic constant = -3.081019
rN"Xz Set lens thickness = 3.927 2xn<E>] Set lens index of refraction = 1.42672 ^i'y6J Set pupil diameter = 4 ZPyM>XK$4 DONE! s4$X etyCrQ
?U NR4Jn?l{ QQ:2987619807 #6W,6(#^#
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