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简介 kKVd4B[#* s:lar4>kM 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。 s|rlpd4y e`zEsLs@ 模型 }1]/dCv D.Rk{0se8 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。 vK6YU9W~J >C y Table 1. AZ眼睛模型的定义 4@OnMj{M 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. c[E{9wp v VvN52
qeL 光源 V#[I/D J01w\#62pQ 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。 }[}u5T`w> 0#4_vg . ^6[KzE#* 图1. 光源和提示信息使用 Cj%SW <v| 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<gZB:~ Uo v%12 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。 V&vU her0 vpXC5|9U 图2. 字母F光源的设定方法光 g]85[xz u':-DgK 图3. 字母F在视网膜上位置点列图 9 tkj:8_ 视网膜的散射 LSb3w/3M =BQM(mal 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。 rB;`&)- r|4jR6%<'m 6~zR(HzV{ 图4. 视网膜朗伯散射设定 Z
l.}= 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。 ;tTM3W-h EJ{Z0R{{ '<~rV 图5. 视网膜重点采样规格设定 UgDai?b1 脚本 &[,g`S0 IF~i* 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: L;/#D>U( -/|O*oZ 图6. 用户对话框的创建与编辑 ;KJJK#j 图7. 用户对话框编辑器 cnvxTI< 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。 +*'
余下的脚本计算与屈光度有关的所有参数。 SjD, FP<RoA?W 分析 z1}YoCj1 [0.>:wT 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 uXq?Z@af|f fl _k5Q'&p 图7. 字母F在视网膜上颜色分析 *bRer[7y 脚本代码 H6E@C}cyM Sxf|gDC Option Explicit 'Remove this to enable non-dimensioned variables to be used. rg+28tlDn ~ z4T
Dim entity As T_ENTITY k|0Fa}Z[ Dim op As T_OPERATION "wL~E Si Dim mat As T_MODELMATERIAL $_ub.g| Dim A As Double .B*Yg<j Dim pupilDiam As Double 2!f0!<te Dim eID As Long }u
cqzdk#2 Dim parID As Long IIeEe7%# Dim count As Integer Ht+ng Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double )?~3fb6^ Dim tlens As Double, nlens As Double #b\&Md|; Dim curv As Double, conic As Double ;y<)RM Dim ok As Long Hb'fEo r o_/C9[: Sub Main
Y<TlvB)w heoOOP(# '用户输入对话框 !OWVOq8 Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 VOwt2&mZ TextBox 220,21,40,21,.TextBox1 'default: 0 RtH[OZu(8 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 dvxD{UH OKButton 40,91,90,21 P]!$MOt CancelButton 190,91,90,21 $D5[12X Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 1~8F& TextBox 220,49,40,21,.TextBox2 'default: 4 ^.Q{Aqu#.H End Dialog $>v^%E;Y4 Dim dlg As UserDialog //@_`. &<@{ d ok = Dialog (dlg) jjBcoQU$o q_HC68YF, If ok=0 Then 'cancel button was pressed 2T5@~^:7u Print "Execution cancelled." RBr End [?Y u3E\ End If F`8A!|cIy S;NChu?8
'Assign accommodation and pupil diameter & use defaults if field left empty D}"\nCz}y& If dlg.TextBox1 = "" Then O/_}O_rR A = 0 'Default accommodation <kn#`w1U' Else QnZR A = CDbl(dlg.TextBox1) ~]Mq' End If JiZ9ly(G !Y=s_)X If dlg.TextBox2 = "" Then q9pBS1Ej pupilDiam = 4 'Default pupil diameter ;w4rwL Else \F,?ptu pupilDiam = CDbl(dlg.TextBox2) o"[P++qd End If z%ljEI"<C Gcg`Knr Print " " 7qon:]b4 Print "Accommodation = " & A & " Diopters" \s&w0V`Y Print "Pupil Diameter = " & pupilDiam & " mm" ;G!X?(%+ gv `jeN ' Calculate new parameters with accommodation <<(~'$~,L taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness r&}fn"H! =N<Hc:<t4 Rant = 12.0 - 0.4*A 'Radius of anterior lens ^]'p927 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens +<:p`% ec1snMY Rpost = -5.224557 + 0.2*A 'Radius of posterior lens W~W^$A CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens )U<4ul F"hi2@/TI tlens = 3.767 + 0.04*A 'Lens thickness
_+|* &IT'%*Y:V nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction {xEX_$nv N<Bi.\XC 'Adjust parameters to account for accommodation 1}S_CR4XBs s`C#=l4 '************************************************************************* >~BU<# 'Aqueous thickness (Position of Lens) C'n 9n!hR '************************************************************************* 3I:DL#f eID = FindFullName( "Geometry.Arizona Eye.Lens" ) TW3:Y\ p GetCustomElement eID, entity <n }=zu RfN5X}&A parID = FindFullName( "Geometry.Arizona Eye" ) Y+/ofk" P%Q}R[Q ' Delete any shift(s) in z +hjc~|RK count = 0 }C"#b\A2 While GetOperationCount(eID)>count \_x)E]D GetOperation eID, count, op b%$S6. If op.Type="ShiftZ" Then 6J%SkuxR DeleteOperation eID,count b@1QE count=count-1 dUb(C1h End If 6ap,XFRMh count=count+1 Z|8f7@k{|+ Wend \vQ_:-A lS?f?n^ 'Set new shift in `9K'I-hv<8 op.Type = "ShiftZ" ::TUSz2/2 op.val1 = taq 7Fy^K;V" op.parent = parID W:rzfO.`Z AddOperation eID, op NPB':r-8 Print "Set aqueous humor thickness = " & taq-0.55 zztW7MG2lQ "a,Tc2xk '************************************************************************* 2vWkAC; 'Radius and conic constant of anterior lens uT-WQ/id '************************************************************************* MIR17%G eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) }ZYK3F GetConic eID, entity, curv, conic E\V>3rse ew`R=<mZ,7 SetConic eID, entity, 1/Rant, CCant 6_XX[.% Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant zLxWyPM0; W_sDF; JP '************************************************************************* +IS$Un 'Radius and conic constant of posterior lens VwC,+B '************************************************************************* m};_\Db` eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 3\(s=-vh GetConic eID, entity, curv, conic [MiD%FfcNH TfZO0GL$ SetConic eID, entity, 1/Rpost, CCpost B=Zo0p^ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost !)\`U/.W
>_F&oA# '************************************************************************* aD&10b9` 'Lens thickness (Position of posterior lens surface) P$pl '************************************************************************* uO^{+=;A= jG.*tuf parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Sl$dXB@ ?QuFRl,ZJ ' Delete any z-shift(s) 1:>RQPXcWv count = 0 *Lh0E/5 While GetOperationCount(eID)>count [j!0R'T GetOperation eID, count, op 9*2hBNp+ If op.Type="ShiftZ" Then vfy-;R( DeleteOperation eID,count V_
]4UE count=count-1 %^5$=w End If Me`"@{r|# count=count+1 9J|YP}% Wend =
Oq; 6u.b?_u 'Set new z-shift uj:w^t ][ op.Type = "ShiftZ" "QlCcH`g op.val1 = tlens /kJ*WA?J op.parent = parID \`XJz{Lm] AddOperation eID, op /60[T@Mz Print "Set lens thickness = " & tlens =x^I 5Pn !t_,x= '************************************************************************* O]PfQ 'Lens index of refraction n!N;WL3k '************************************************************************* l+N?:E$5=% eID = FindMaterial( "Lens" ) w"BTu-I GetModelMaterial eID, mat )5&m:R9 Vm.u3KE mat.Nd = nlens W4#:_R,&, SetModelMaterial eID, mat X,q=JS Print "Set lens index of refraction = " & nlens JPpYT~4 >WD^)W fa '************************************************************************* |Ji?p>\~ 'Pupil diameter T.|0;Eb '************************************************************************* H?~u%b@ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) nRo`O ~/#?OLj(T 'Adjust pupil diameter (trimming volume inner hole) z`Q5J9_<cV JA)gM SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 7<tqT
@c P"]+6sm&es ' Adjust pupil location to just in front of the lens %-*vlNC ) parID = FindFullName( "Geometry.Arizona Eye" ) \W\6m0-x eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) CX:^]wY count = 0 QO?ha'Sl While GetOperationCount(eID)>count 05zHL j GetOperation eID, count, op bFVdv&
If op.Type="ShiftZ" Then Mb9q<4 DeleteOperation eID,count iwVra"y count=count-1 7L\GI`y End If #0P<#S^7 count=count+1 FU [,,a0<< Wend Mu (Y6 op.Type = "ShiftZ" HcVPJuD op.val1 = taq-0.01 0Fw\iy1o op.parent = parID |l?ALP_g AddOperation eID, op U-?
^B*< XVLuhwi Print "Set pupil diameter = " & pupilDiam _F*w
,b$8 ,G:4H%? 'Update AZ Eye subassembly Description TZP{=v< eID = FindFullName( "Geometry.Arizona Eye" ) N1Z8I: GetEntity eID, entity YH[_0!JY^ entity.Description = "Accommodation = " & A & "D" O}`01A!u; SetEntity eID, entity 4l1=l#\S $oQsh|sTI Update 3D.S[^s* Print "DONE!" q7]WR(e 5HIpoj;\( End Sub WV @Tm$r xh6x
B|Z 如果屈光度是4,光瞳直径是4,则会输出如下数据: qN0#=X
P3yiJ|vP Accommodation = 4 Diopters u7C{> Pupil Diameter = 4 mm ygW@[^g Set aqueous humor thickness = 2.81 9e)+<H Set anterior lens radius = 10.4 and conic constant = -2.375869 .apX72's, Set posterior lens radius = -4.424557 and conic constant = -3.081019 _Ry.Wth Set lens thickness = 3.927 uy9B8&Sr Set lens index of refraction = 1.42672 KVcZ@0[S Set pupil diameter = 4 nMa^Eq# DONE! vg.%. ~!9 M$W#Q\<*#r 4d 3Znpf QQ:2987619807 eq+o_R}CS
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