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简介 CG@3z@*?. iveJh2!#< 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。 (I(?oCQ 1+wmR4o 模型 e5\/:HpI 6/u]r 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。 S#km`N` Ht >5R Table 1. AZ眼睛模型的定义 -*`7Q'}% 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. 04;E^,V NXwthc3 光源 c3S}(8g5. H&$L1CrdL 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 +qN}oyL
~SKV% eBUexxBY 图1. 光源和提示信息使用 0PfjD 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 ylFoYROO z;T_%?u 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 (2 nSZRB S*"uXTS 图2. 字母F光源的设定方法光 FA5|` W4MU^``
图3. 字母F在视网膜上位置点列图 h2k"iO} 视网膜的散射 1Ce7\A Ax"]+pb 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 ^"lVTDsU dnEIR5%+. pl#2JA8 图4. 视网膜朗伯散射设定 /\7E&n:)2 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 2A>s
a3\ @k+&89@G \kN?7b^ 图5. 视网膜重点采样规格设定 \zCwD0Z 脚本 bC a%$ 7+(on 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: hQWo ]WF(J Z;v5L/; 图6. 用户对话框的创建与编辑 CjRU3
(Q 图7. 用户对话框编辑器 io&FW!J. 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。 }Gvu!a#R 余下的脚本计算与屈光度有关的所有参数。 L0lqm0h + *xi&|% 分析 .ei5+?V<i u;
]4ydp 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ` x|=vu- zf4\V F 图7. 字母F在视网膜上颜色分析 5>Kk>[|. 脚本代码 5%r:hO @S u~pBMg
, Option Explicit 'Remove this to enable non-dimensioned variables to be used. "26=@Q^Y Mg"e$m Dim entity As T_ENTITY }xa~U,#5 Dim op As T_OPERATION =)c^ik%F& Dim mat As T_MODELMATERIAL twWzS
4; Dim A As Double ^-^ii3G` Dim pupilDiam As Double z=FOymvC Dim eID As Long C0K0c6A(4 Dim parID As Long ;_~9".'<d Dim count As Integer V|3^H^\5P Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 1
ORA6 Dim tlens As Double, nlens As Double ;% <[*T:*' Dim curv As Double, conic As Double
M*gbA5 Dim ok As Long JGHQzC ?-v]+<$ Y Sub Main m[}@\y `R!%k]$ '用户输入对话框 f1$'av Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 "Snt~:W> TextBox 220,21,40,21,.TextBox1 'default: 0 o#K*-jOfiH Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 w}qLI4 OKButton 40,91,90,21 A8X3|<n= CancelButton 190,91,90,21 \1ncr4 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 agGgj>DDd TextBox 220,49,40,21,.TextBox2 'default: 4 ;5p;i8m End Dialog %,UTFuM` Dim dlg As UserDialog |!q,J ]r\FC\n6e ok = Dialog (dlg) R>D [I. 9;7|MPbR If ok=0 Then 'cancel button was pressed i5 0c N<o Print "Execution cancelled." l`<1Y| End "wR1=&gk End If QOR92}yC (fun,(R6" 'Assign accommodation and pupil diameter & use defaults if field left empty XiMd|D If dlg.TextBox1 = "" Then tMiy`CPh A = 0 'Default accommodation ]iYO}JuX Else QJy1j~9x A = CDbl(dlg.TextBox1) lyD=n End If _iF*BnmN ~s{
V!)0 If dlg.TextBox2 = "" Then Y#t9DhzFWo pupilDiam = 4 'Default pupil diameter (M 2hK[ Else X`20=x pupilDiam = CDbl(dlg.TextBox2) FnPn#Cv>* End If w `nm}4M dczq,evp Print " " 7J;\&q' Print "Accommodation = " & A & " Diopters" wq7h8Z}l Print "Pupil Diameter = " & pupilDiam & " mm" "Q`Le{ vW-o%u* ' Calculate new parameters with accommodation gHtflS taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness L0)w~F
?m xOx=Z\ c Rant = 12.0 - 0.4*A 'Radius of anterior lens y8ODoXk CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens &. MUSqo9 `x`zv1U Rpost = -5.224557 + 0.2*A 'Radius of posterior lens -asjBSo*D CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 2f0mr?l)N 6j Rewj tlens = 3.767 + 0.04*A 'Lens thickness BJt]k7ku+ NY6;\ 7!n
nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction }X6w" {DD #&B 'Adjust parameters to account for accommodation !>#gm7 yAFt|< '************************************************************************* = q(?ALGc 'Aqueous thickness (Position of Lens) H;seT XL '************************************************************************* d`,z4_ eID = FindFullName( "Geometry.Arizona Eye.Lens" )
Q@!XVQx4 GetCustomElement eID, entity ^3ai}Ei3 x];i?
4 parID = FindFullName( "Geometry.Arizona Eye" ) KF6N P xn>N/+, ' Delete any shift(s) in z Mh2Zj count = 0 A34O(fE While GetOperationCount(eID)>count 5,pEJ>dDD3 GetOperation eID, count, op 1En:QQ4/ If op.Type="ShiftZ" Then :NL[NbQYt DeleteOperation eID,count 0 ;].q*|# count=count-1 h1)ny1; End If /
*/"gz% count=count+1 -Q/wW4dE= Wend ::_bEmk icQQLSU5 'Set new shift in e)y+] op.Type = "ShiftZ" };R2M op.val1 = taq ->*~e~T op.parent = parID r0@s3/ AddOperation eID, op K_n
GZ/`[ Print "Set aqueous humor thickness = " & taq-0.55 ILx4[m7 o@hj.)u '************************************************************************* O)ose?Z
'Radius and conic constant of anterior lens W7c
B '************************************************************************* MJ$.ST eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) [%P[ x]- GetConic eID, entity, curv, conic nly}ly Q/ }(!rB#bf SetConic eID, entity, 1/Rant, CCant Kf6D)B 26 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant gi>W&6 0Y'ow=8M '************************************************************************* P @J)S ? 'Radius and conic constant of posterior lens H]W'mm '************************************************************************* >oN Wf eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) |&@`~OBa GetConic eID, entity, curv, conic 4 aE{}jp1 W56VA>ia SetConic eID, entity, 1/Rpost, CCpost 4\ |/S@. Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost q{%~(A5*H ;W|GUmADf '************************************************************************* .2U3_1dX 'Lens thickness (Position of posterior lens surface) ESk:$`P '************************************************************************* @FZ_[CYg #|3,DZ|)F parID = FindFullName( "Geometry.Arizona Eye.Lens" ) , hrv >Q'*~S@v3 ' Delete any z-shift(s) D>^g2!b: count = 0 DAg* While GetOperationCount(eID)>count Pe-rwM GetOperation eID, count, op cq 5^7. If op.Type="ShiftZ" Then W]Nc6B*gI DeleteOperation eID,count ;" D~F count=count-1 7SN61)[m End If E^gN]Z"O count=count+1 &*E! %57 Wend $BT[fJ'k >$yA
,N 'Set new z-shift ho)JY
$#6 op.Type = "ShiftZ" i`Qa7 op.val1 = tlens B'mUDW8\D op.parent = parID k
]T AddOperation eID, op azNv(|eeJL Print "Set lens thickness = " & tlens (`_fP.Ogb yye5GVY$ '************************************************************************* 2#00<t\ 'Lens index of refraction ,`OQAJ)> '************************************************************************* 2s>BNWTU eID = FindMaterial( "Lens" ) DSWmQQ GetModelMaterial eID, mat ,jtaTG.> pr1bsrMuL mat.Nd = nlens 19-V;F@; SetModelMaterial eID, mat 717G
CL@ Print "Set lens index of refraction = " & nlens r&Qa;-4Pl j:>0XP '************************************************************************* QoZZXCU 'Pupil diameter :>o0zG[;f '************************************************************************* FA;-D5= eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ,%BDBZ k.jBu 'Adjust pupil diameter (trimming volume inner hole) eMdf[eS Zy.ls&<: SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" /u_9uJ"-K( 4*9t:D|} ' Adjust pupil location to just in front of the lens ?Bl/bY$*h parID = FindFullName( "Geometry.Arizona Eye" ) ?FUK_] eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) #D%6b count = 0 Mu-kvgO`L While GetOperationCount(eID)>count Wv9L}@J GetOperation eID, count, op &cJ?mSI If op.Type="ShiftZ" Then ~'0ZW<X. DeleteOperation eID,count Lz p}<B count=count-1 )''V}Zn.X End If q_ryW$/_ count=count+1 _%Ua8bR$ Wend =kzp$ i op.Type = "ShiftZ" 3:8p="$F op.val1 = taq-0.01 En#Q
p3 op.parent = parID bBXLW}W AddOperation eID, op &['x+vL9 "wg$ H1K Print "Set pupil diameter = " & pupilDiam h^qZi@L sWMln:= 'Update AZ Eye subassembly Description 3&5b!Y eID = FindFullName( "Geometry.Arizona Eye" ) ZZHzC+O#^ GetEntity eID, entity 12hD*,A5j entity.Description = "Accommodation = " & A & "D" |5:2?S2R SetEntity eID, entity }
XhL`% dKC*QHU Update NP.i,H Print "DONE!" 6>;OVX zK1]o-wSAT End Sub Ycq )$7p *RVCz|0%w 如果屈光度是4,光瞳直径是4,则会输出如下数据: Lj#xZ!mQS nCp_RJu Accommodation = 4 Diopters /V`SJ" Pupil Diameter = 4 mm N{&Lo}6F Set aqueous humor thickness = 2.81 /':64#' Set anterior lens radius = 10.4 and conic constant = -2.375869 ($/l_F Set posterior lens radius = -4.424557 and conic constant = -3.081019 S
w%6- Set lens thickness = 3.927 NWPT89@ l Set lens index of refraction = 1.42672 aPK:k$. Set pupil diameter = 4 >;Vfs{Z(q DONE! +kEM%z
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