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简介 pwSkw J] #@V<{/;49 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。 rK;<-RE<[: cw0@Z0 模型 I:al[V2g X?u=R)uG 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。 -y_q wr:-n Table 1. AZ眼睛模型的定义 jC>mDnX 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. .W;cz8te @3b @]l5 光源 &>Y.$eW_ &0ymAf5R 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 cFjD*r- ^* y1Fn0 |Q%nnN 图1. 光源和提示信息使用 ?hp,h3s;n$ 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。 KdTWi;mV2- 1B 0[dK2N 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。 =kOo( !w!k0z] 图2. 字母F光源的设定方法光 FSkX95 OYa9f[ $ 图3. 字母F在视网膜上位置点列图 `4Z:qh+fJ 视网膜的散射 0;w 4WJJ Y2ON!Rno 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。 Lcy6G%A 4`V&Yqwl J*%IvRg
图4. 视网膜朗伯散射设定
<ZO+e*4 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。 vy-(:aH7U X}QcXc.d )*.rl 图5. 视网膜重点采样规格设定 QQ=tiW 脚本 %l%2 hvGZ 7a/
BS(kq< 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: ]}&HvrOld @o<B>$tbu4 图6. 用户对话框的创建与编辑 v}!^RW'X 图7. 用户对话框编辑器 80gOh: 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。 9*!*n ~ 余下的脚本计算与屈光度有关的所有参数。 *xx)j:Sc2 &I{5f-o* 分析 $RC)e7 [ 'B u 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 7^#O{QYol 11 A$#\, 图7. 字母F在视网膜上颜色分析 %82:?fq 脚本代码 tC=K;zsXpz cp`ZeLz2^ Option Explicit 'Remove this to enable non-dimensioned variables to be used. anKflt3 J'&K Dim entity As T_ENTITY Smh=Q4,W Dim op As T_OPERATION O2lM;=" Dim mat As T_MODELMATERIAL G;pc,\MF Dim A As Double G8Ow;:Ro
Dim pupilDiam As Double m.5@qmQ Dim eID As Long u@Z6)r' Dim parID As Long \z@:OR, Dim count As Integer tC/+ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double au+:-Khm Dim tlens As Double, nlens As Double OSh'b$Z Dim curv As Double, conic As Double x.I?)x!C' Dim ok As Long lm{4x~y$h &pv*TL8 Sub Main yZmeke)_ K'K/}q< '用户输入对话框 dD
6jMl Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 AJoP3Zv|? TextBox 220,21,40,21,.TextBox1 'default: 0 +mO/9m Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 +
:b"0pu-H OKButton 40,91,90,21 m_;XhO CancelButton 190,91,90,21 <c,iu{: Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 @cG+D TextBox 220,49,40,21,.TextBox2 'default: 4 TyR@3H End Dialog (r1"!~d@ Dim dlg As UserDialog ZpwFC7LW i\K88B&24 ok = Dialog (dlg) F*4G@) 2UBAk')O} If ok=0 Then 'cancel button was pressed (;N#Gqb6l Print "Execution cancelled." 1l.HQ IS End ++|e
z{ End If 83)m# 3)(uC+?[ 'Assign accommodation and pupil diameter & use defaults if field left empty JFkx=![ If dlg.TextBox1 = "" Then Z|3[Y@c\ A = 0 'Default accommodation |g<l|lqz| Else D3+<16[, A = CDbl(dlg.TextBox1) _( QW2m?K End If Kj-zEl {Bpu-R&T If dlg.TextBox2 = "" Then EgOiJH pupilDiam = 4 'Default pupil diameter Xw162/:h Else NMN&mJsmh pupilDiam = CDbl(dlg.TextBox2) :p$Q3 End If _|COnm w)>/fG|; Print " "
"'Q~&B;@ Print "Accommodation = " & A & " Diopters" 8'Q&FW3" Print "Pupil Diameter = " & pupilDiam & " mm" GCxmqoQ q9Lq+4\ ' Calculate new parameters with accommodation ]-OF3+l4 taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness <^e #Xi9O. Rant = 12.0 - 0.4*A 'Radius of anterior lens l%
{<+N CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens QghL=
aL8Z|* Rpost = -5.224557 + 0.2*A 'Radius of posterior lens qt.= CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens tYhNr 1E$^ul-v tlens = 3.767 + 0.04*A 'Lens thickness H_u%e*W Ol8Yf.e_ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction f!B\X*| T^2o'_: 'Adjust parameters to account for accommodation @3?dI@i( `pd+as '************************************************************************* suN}6CI 'Aqueous thickness (Position of Lens) h0-CTPQ7A '************************************************************************* b C"rQJg eID = FindFullName( "Geometry.Arizona Eye.Lens" ) l~x
6R~q GetCustomElement eID, entity Z:VT%- 6'.CW4L parID = FindFullName( "Geometry.Arizona Eye" ) $N4i)>&T2 fTi5Ej*/?) ' Delete any shift(s) in z
ql_,U8Jw count = 0 $KsB'BZy While GetOperationCount(eID)>count e#ne 5 GetOperation eID, count, op R`%O=S*] If op.Type="ShiftZ" Then Tqx DeleteOperation eID,count ]ia{N count=count-1 uAV-wc End If Ro#O{ count=count+1 p<Vj<6.=? Wend dF+:9iiAm t<SCrLbz 'Set new shift in z+j3j2 op.Type = "ShiftZ" 2&2t8.< op.val1 = taq +
$Lc'G+: op.parent = parID n7bML?f' AddOperation eID, op /,+&O#SX Print "Set aqueous humor thickness = " & taq-0.55 `Oe}OSxnT 0He^r
&c3 '************************************************************************* Qt=OiKZ 'Radius and conic constant of anterior lens ^:ehG9 '************************************************************************* %p^`,b} eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) -8sB\E GetConic eID, entity, curv, conic 5Qxm\?0J F7`[r9 $ SetConic eID, entity, 1/Rant, CCant lkb,UL;V Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 8q|T`ac+N s 5F?m '************************************************************************* #mRT>]di`D 'Radius and conic constant of posterior lens 7"Q;Yi2( '************************************************************************* ,veI'WHMB eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) eMU t%zvb GetConic eID, entity, curv, conic E<tJ8&IGk
R7Z! SetConic eID, entity, 1/Rpost, CCpost DhiIKd9W Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost dK7BjZTJo o#V{mm,{Pm '************************************************************************* B\quXE) 'Lens thickness (Position of posterior lens surface) j$r2=~1 '************************************************************************* :a)` iJnb #6 M3BF parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 'I@l$H 3d(:Y6D) ' Delete any z-shift(s) {\n?IGP?wd count = 0 \!4_m8? While GetOperationCount(eID)>count +3r4GEa
Z GetOperation eID, count, op }%S#d&wh$_ If op.Type="ShiftZ" Then ;Lk07+3G DeleteOperation eID,count ev z@c)8 count=count-1 4u7^v1/ End If ]=(PtzVa count=count+1 b4>1UZGW- Wend 4X$|jGQ\ Di&XDW/ 'Set new z-shift KKNQ+'? op.Type = "ShiftZ" > |(L3UA9 op.val1 = tlens "?s op.parent = parID 7K
/qu J AddOperation eID, op 0W]vK$\F* Print "Set lens thickness = " & tlens +sx$%N i:
VMCNH '************************************************************************* e9rgJJ 'Lens index of refraction A%.ZesjAx '************************************************************************* \y+@mJWa eID = FindMaterial( "Lens" ) J{PNB{v GetModelMaterial eID, mat a}'dIDj __,F_9M mat.Nd = nlens ;AJ6I*O@+ SetModelMaterial eID, mat 8l
>Xbz Print "Set lens index of refraction = " & nlens nc.:Wm6Mj oGz5ZDa# '************************************************************************* Qv1cf 'Pupil diameter WO[O0!X '************************************************************************* X>U _v eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 9rgvwko ,7SqRY,+ 'Adjust pupil diameter (trimming volume inner hole) `':G92}# E[c6*I SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" E>bpq^;r xi15B5_Ps ' Adjust pupil location to just in front of the lens 5GDg_9Bz parID = FindFullName( "Geometry.Arizona Eye" ) yMJ(Sf eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) F?b"Rv count = 0 Zo}vV 2 While GetOperationCount(eID)>count U i`#B GetOperation eID, count, op .T#}3C/ If op.Type="ShiftZ" Then B9S@G{` DeleteOperation eID,count il$eO 7 count=count-1 $ <Mf#.8% End If 3|4<SMm count=count+1 +3]V>Mv Wend N@V:nCl op.Type = "ShiftZ" b8|<O:]Hp op.val1 = taq-0.01 S%df'bh$ op.parent = parID L`"V_
"Q#0 AddOperation eID, op o~26<Lk Koc5~qUY] Print "Set pupil diameter = " & pupilDiam 05o<fa 2HE 1Hs'YzvY 'Update AZ Eye subassembly Description "&@{f:+ eID = FindFullName( "Geometry.Arizona Eye" ) z+<ofZ(. GetEntity eID, entity o&>aYlXd entity.Description = "Accommodation = " & A & "D" x pBQ(6Y SetEntity eID, entity ZNJ<@K- >O~ Update ,91 n Print "DONE!" ]E#W[6'VtB =4gPoS End Sub )&qr2Cm* Ht|"91ZC5 如果屈光度是4,光瞳直径是4,则会输出如下数据: $ J!PSF8PL >L J<6s[= Accommodation = 4 Diopters $>rKm
Pupil Diameter = 4 mm g1~wg$`S8S Set aqueous humor thickness = 2.81 -x-EU#.G Set anterior lens radius = 10.4 and conic constant = -2.375869 I/go$@E" Set posterior lens radius = -4.424557 and conic constant = -3.081019 I?_WV_T& Set lens thickness = 3.927 o,{]<Sm Set lens index of refraction = 1.42672 5),&{k! Set pupil diameter = 4 '~zi~Q7M DONE! %uvA3N>
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