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简介 l)iv\j t_Z _!Qy 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。 z-)*Q )1BiEK`v 模型 oEPNN'~3 xK=J.>h3 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。 o>$|SU!a [M<{P5q Table 1. AZ眼睛模型的定义 H&u4v2
在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. S]. Ft/+H F42TKPN^uu 光源 XzlIW&"uC 6BR\iZ 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 1uY3[Z9S <Q\H zv|M*Wu 图1. 光源和提示信息使用 Bd.Z+#%l" 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 s?~8O|Mu' @>gD1Q7v b 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 ,?t}NZY& {4o\S 图2. 字母F光源的设定方法光
=05iW '[n)N@h 图3. 字母F在视网膜上位置点列图 ''%;EW> 视网膜的散射 okVp\RC .O;!W<Ef$ 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。 tu7+LwF7 ?L8&(&1@VD $:PF9pY( 图4. 视网膜朗伯散射设定 91U^o8y 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 kf}F}Ad:% K`,nW6\ rO5u~"v] 图5. 视网膜重点采样规格设定 !~ BZHi6\ 脚本 Bmi:2} j ;`;G/1]#9 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: 'MSEki67 @*bvMEE 图6. 用户对话框的创建与编辑 V@LN
1| 图7. 用户对话框编辑器 s+(l7xH$ 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。 T-hU+(+hg 余下的脚本计算与屈光度有关的所有参数。 d'x<-l9 9"[!EKW 分析 v&k>0lV,^ o(?VX`2" 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 rSM$E u-8X$aJ 图7. 字母F在视网膜上颜色分析 97['VOh0 脚本代码 9k714bnMLX E_ o{c5N Option Explicit 'Remove this to enable non-dimensioned variables to be used. i# CaKS j` [#Ij Dim entity As T_ENTITY L"Qh_+ Dim op As T_OPERATION E1$Hu{ Dim mat As T_MODELMATERIAL ;,Of\Efc| Dim A As Double ~ >&I^4 Dim pupilDiam As Double #
q0Ub- Dim eID As Long MLkL.1eGSb Dim parID As Long #a|6Q 8 Dim count As Integer TBoM{s=. Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double +a7EsR Dim tlens As Double, nlens As Double B"pFJ"XR Dim curv As Double, conic As Double 4iYgs-, Dim ok As Long Bf D,z /}h71V! Sub Main v_?s1+w Fw(b1 d>E '用户输入对话框 $[HcHnf Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 Yio>ft&g] TextBox 220,21,40,21,.TextBox1 'default: 0 V6DBKq Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 GnSgO-$" OKButton 40,91,90,21 4jC4X* CancelButton 190,91,90,21 .g6PrhzFbk Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 2eZk3_w TextBox 220,49,40,21,.TextBox2 'default: 4 ]7XkijNb End Dialog h|(ZXCH Dim dlg As UserDialog ?.rH;:9To t
1Ir4 ok = Dialog (dlg) fPh}l (T>?8K_d If ok=0 Then 'cancel button was pressed 2uJNc!& Print "Execution cancelled." y(aAp.S> End X/-
W8 End If wW6mYgPN% dy2_@/T7 'Assign accommodation and pupil diameter & use defaults if field left empty Y|GJph If dlg.TextBox1 = "" Then FqT,4SIR A = 0 'Default accommodation #{)r*"% Else 2$j
Ot} A = CDbl(dlg.TextBox1) E3FW*UNg[y End If .-O@UQx.I $'J6#Vs If dlg.TextBox2 = "" Then ?$)x$nS` pupilDiam = 4 'Default pupil diameter Xh7~MU~X Else %-1BA*J`| pupilDiam = CDbl(dlg.TextBox2) y(bt56 |
z End If /el["l a=:{{\1o Print " " ]<\;d
B Print "Accommodation = " & A & " Diopters" #x4h_K
Y Print "Pupil Diameter = " & pupilDiam & " mm" > hDsm;,/ ZuFVtW@ ' Calculate new parameters with accommodation &.+n
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taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness jE?\Yv3 QKUBh-QFK Rant = 12.0 - 0.4*A 'Radius of anterior lens V#-qKV CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens /A[oj2un aUIc=Z Rpost = -5.224557 + 0.2*A 'Radius of posterior lens pjKl)q CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens .%J?T5D +s/N@]5nW tlens = 3.767 + 0.04*A 'Lens thickness %X0NHta~@ },Re5W nl nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction "&~?Hzm p^4;fD 'Adjust parameters to account for accommodation [d^: IQk# '************************************************************************* t=E|RYC(k 'Aqueous thickness (Position of Lens) c:@OX[## '************************************************************************* >^a"Z[s[ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) R+kZLOE GetCustomElement eID, entity |=^#d\?]j mNnw G);$ parID = FindFullName( "Geometry.Arizona Eye" ) N?2#YTjR JXSqtk= ' Delete any shift(s) in z MWn L#! count = 0 f9l<$l While GetOperationCount(eID)>count "`W1yk5x GetOperation eID, count, op q563,s If op.Type="ShiftZ" Then aaf_3UH.B DeleteOperation eID,count ,SJK count=count-1 g+KzlS[6 End If yf#%)-7( count=count+1 O)RzNfI^`N Wend w
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Cj4` e`Zg7CaDd 'Set new shift in O"J.k&C<, op.Type = "ShiftZ"
ELgae1 op.val1 = taq )QSt7g|OF op.parent = parID QIMv9; AddOperation eID, op <Z_wDK/UR Print "Set aqueous humor thickness = " & taq-0.55 @)2V"FE4i |B{$URu '************************************************************************* |`(?<m 'Radius and conic constant of anterior lens Q~w G(0'8 '************************************************************************* #Z=)= eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) H-cBXp5z GetConic eID, entity, curv, conic _E&vE5<-$ ?_Dnfa_ SetConic eID, entity, 1/Rant, CCant 'd.@4 9
Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ,^+R%7mv l-^XW?CfL '************************************************************************* PRk%C0` 'Radius and conic constant of posterior lens *liPJ29C[ '************************************************************************* !^w\$cw& eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) +}-W.H%` 0 GetConic eID, entity, curv, conic +&N&D"9A $m: a-.I SetConic eID, entity, 1/Rpost, CCpost 0rm;)[SjF Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost syNb0LR 55\X\>
0C7 '************************************************************************* ;`of'9| 'Lens thickness (Position of posterior lens surface) 9;v"bcQ '************************************************************************* h%w\O Z7 ma-Y' parID = FindFullName( "Geometry.Arizona Eye.Lens" ) &9lc\Y4PY hv:Z%D |S ' Delete any z-shift(s) yxP ?O@( count = 0 K7O?{/ While GetOperationCount(eID)>count 4tTZkJc GetOperation eID, count, op vYt:}$AE If op.Type="ShiftZ" Then 8rG&CxI DeleteOperation eID,count [rQ(ae count=count-1 TnU$L3k End If o27`g\gDR, count=count+1 e"adkV Wend qp_ `Fj: $}UJs <-F 'Set new z-shift YlcF-a op.Type = "ShiftZ" N
evvA(M op.val1 = tlens 5Kw?SRFH/ op.parent = parID L{0OMyUA AddOperation eID, op T17LYHIT Print "Set lens thickness = " & tlens 8`~3MsE" <[5$ {) '************************************************************************* MJ"Mn^:/ 'Lens index of refraction rU^ghF '************************************************************************* W>|b98NPu eID = FindMaterial( "Lens" ) iM/0Yp-v'> GetModelMaterial eID, mat Isgk 6dy4{i mat.Nd = nlens XK/@!ud"` SetModelMaterial eID, mat K
y4y Print "Set lens index of refraction = " & nlens p;t!"I:`? dDn4nwH '************************************************************************* U?^|>cMr 'Pupil diameter 8'xnhV '************************************************************************* 4qz{D"M eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) OK J%M]< x-#9i 'Adjust pupil diameter (trimming volume inner hole) kJeOlO[ 5)v^
cR?& SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" K ':pU1 f-nC+ ' Adjust pupil location to just in front of the lens %dU'$) parID = FindFullName( "Geometry.Arizona Eye" ) KC-aLq/ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) D&m"~wI count = 0 U(]5U^ While GetOperationCount(eID)>count }Z?[Ut GetOperation eID, count, op 446hr zW>@ If op.Type="ShiftZ" Then .F3LA6se DeleteOperation eID,count <r`Jn49 count=count-1 842+KLS End If l<:E+lU count=count+1 !X <n:J Wend ~+nSI-L op.Type = "ShiftZ" Iw|[*Nu- op.val1 = taq-0.01 2^ZPO4| op.parent = parID [=1?CD AddOperation eID, op q<uLBaL_]r 7CMgvH)O Print "Set pupil diameter = " & pupilDiam oNsx Fi: ^k<$N 'Update AZ Eye subassembly Description p2vUt eID = FindFullName( "Geometry.Arizona Eye" ) (a!,) GetEntity eID, entity mT~>4xi0 entity.Description = "Accommodation = " & A & "D" #=#$b _6* SetEntity eID, entity f4I9H0d;! y"-{6{3 Update WA\f`SRF Print "DONE!" i4r~eneP @N{Ht)1r End Sub DmPsltpzQ 6i9I 4*' 如果屈光度是4,光瞳直径是4,则会输出如下数据: _-\{kJ Du4#\OK Accommodation = 4 Diopters h1o+7 Pupil Diameter = 4 mm B"zg85
e Set aqueous humor thickness = 2.81 XRz6Yf(/ Set anterior lens radius = 10.4 and conic constant = -2.375869 m8^2k2 Set posterior lens radius = -4.424557 and conic constant = -3.081019 %9Fg1LH42r Set lens thickness = 3.927 1AV1W_" Set lens index of refraction = 1.42672 6lAo`S\)eX Set pupil diameter = 4
l>?vjy65 DONE! 1H
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