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简介 ($!g= 7 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 _y:aPn W]D+[mpgK 模型 `j'gt& zpy&\#Vc 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 eI@G B [7l5p(= Table 1. AZ眼睛模型的定义 !,~C 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. lr[&*v?h A{wk$`vH 光源 Mn*5oH ]{AHKyA{: 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。
UoJMOw[ =kw6<!R i x_a 图1. 光源和提示信息使用 9 LUk[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。 ~2UmX' ||;a#FZ^ 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。 ,]4.|A_[Rq sh%%U 图2. 字母F光源的设定方法光 R+Rb[,m zc1~ q 图3. 字母F在视网膜上位置点列图 (`d _DQ 视网膜的散射 N8Un42 h[]3# 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。 Mvk#$:8e _mDvRFq mnH1-}oL
图4. 视网膜朗伯散射设定 ROj=XM:+ 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 _2eL3xXha. )J&!>GP c#pVN](? 图5. 视网膜重点采样规格设定 &.:yP3 脚本 .-:6L2 ^Y^5 @x= 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: #Y>d@ S4%MnT6Uy 图6. 用户对话框的创建与编辑 {N0ky=ud 图7. 用户对话框编辑器 a; 0$fRy 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。 ntF#x.1Pm 余下的脚本计算与屈光度有关的所有参数。 <PQ[N[SU v?h8-yed 分析 7
P]Sc yXA]E.K! 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@i2Mz/eV wqp(E+& 图7. 字母F在视网膜上颜色分析 m} nA-* 脚本代码 )h(yh50
B 4JjO.H Option Explicit 'Remove this to enable non-dimensioned variables to be used. zyFbu=d|O: ,lw<dB@7"5 Dim entity As T_ENTITY ^i~'aq Dim op As T_OPERATION rVx?Yo1F' Dim mat As T_MODELMATERIAL *!+?%e{;b Dim A As Double _xXDvBU Dim pupilDiam As Double |p+ xM Dim eID As Long 7 m!e\x8 Dim parID As Long (?zZvW8 Dim count As Integer "a>a
"Ei Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double veGRwir Dim tlens As Double, nlens As Double ZBfB4<M9xS Dim curv As Double, conic As Double O:G-I$F| Dim ok As Long %GDs/9 qxglA*/
[ Sub Main %D}]Z=gp ]#oqum@Yf1 '用户输入对话框 `'<&<P Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 W,)qE^+ TextBox 220,21,40,21,.TextBox1 'default: 0 @y`7csbp Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 s&*s9F OKButton 40,91,90,21 u<{uUui}$v CancelButton 190,91,90,21 %O3 r>o= Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 o*WI*Fb' TextBox 220,49,40,21,.TextBox2 'default: 4 qbe9 CF'@_ End Dialog ?{I]!gI Dim dlg As UserDialog T Jp0^&Q K.jm>]'z4; ok = Dialog (dlg) kzLtI w&. T5di#%: s If ok=0 Then 'cancel button was pressed Y+I`XeY Print "Execution cancelled." 6~v|pA jY End Sud5F4S End If l~Sn`%PgA U0W- X9>y 'Assign accommodation and pupil diameter & use defaults if field left empty }n JG<rY If dlg.TextBox1 = "" Then a<K@rgQ A = 0 'Default accommodation #0j,1NpL Else P9D'L{yS/x A = CDbl(dlg.TextBox1) JRj%d&^} End If MM%c 0Ie9T1D= If dlg.TextBox2 = "" Then [bvI T]Z pupilDiam = 4 'Default pupil diameter ` `R;x Else OVm
$ pupilDiam = CDbl(dlg.TextBox2) eqze7EY End If *xOrt)D= L?n*b Print " "
Pc4FEH/ Print "Accommodation = " & A & " Diopters" [UHDN:y Print "Pupil Diameter = " & pupilDiam & " mm" nP >*0Fq cEd!t6Z ' Calculate new parameters with accommodation W@x
UR-}51 taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 7=ZB?@bU~ ryq95<lF Rant = 12.0 - 0.4*A 'Radius of anterior lens fH7o,U| CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 81|Xg5g)b {>cO&eiCt Rpost = -5.224557 + 0.2*A 'Radius of posterior lens mSzBNvci CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens -)tu$W* @M-+-6+ tlens = 3.767 + 0.04*A 'Lens thickness +`x8[A)- O9k9hRE]z nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction 98os4}r 5Qik{cWxBq 'Adjust parameters to account for accommodation lc=C mq?5|` '************************************************************************* yjVPaEu]aU 'Aqueous thickness (Position of Lens) D/Y .'P:j '************************************************************************* \gL
H_$} eID = FindFullName( "Geometry.Arizona Eye.Lens" ) %jY/jp=R GetCustomElement eID, entity <;.Zms${@ o~F @1 parID = FindFullName( "Geometry.Arizona Eye" ) xh\{ dUPA OgfmyYMtc ' Delete any shift(s) in z 1Q6WpS count = 0 XnQo0
R.PW While GetOperationCount(eID)>count oO|zRK1;/ GetOperation eID, count, op Yo
c N@s If op.Type="ShiftZ" Then ":*PC[)W DeleteOperation eID,count ~: f9, count=count-1 N(@'L43$V End If 5[M?O4mi count=count+1 pI
|; Wend b$nXljV4? !c\d(u 'Set new shift in 0!rU,74I= op.Type = "ShiftZ" -tSWYp{ op.val1 = taq ;PJWd|3 op.parent = parID $Tt@Xu AddOperation eID, op DEaO=p| Print "Set aqueous humor thickness = " & taq-0.55 ZN|DR|cUY Z
xLjh '************************************************************************* d(w
$! $"h 'Radius and conic constant of anterior lens Rv6{'\: '************************************************************************* lkV%
k1w eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) tgDmHxB]0 GetConic eID, entity, curv, conic |8h<Ls_ pK#Ze/! SetConic eID, entity, 1/Rant, CCant S?%V o* Y Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ?MuM _6 f8)D| '************************************************************************* sf]y\_zU 'Radius and conic constant of posterior lens k'wF+> '************************************************************************* E) >~0jv eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 0yXUVKq3 GetConic eID, entity, curv, conic > >wbyj8 rB}UFS) SetConic eID, entity, 1/Rpost, CCpost !J[3U
Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost BSG_),AH hZ.Sj~>7` '************************************************************************* R)t"`'6| 'Lens thickness (Position of posterior lens surface) rSB"0W7 '************************************************************************* {SW104nb J
/'woc parID = FindFullName( "Geometry.Arizona Eye.Lens" ) S)z
jfJR fSl+;|Kn ' Delete any z-shift(s) !'B.ad count = 0 J}TS-j0 While GetOperationCount(eID)>count Y*3qH] GetOperation eID, count, op Fm{Ri=X<: If op.Type="ShiftZ" Then tsU.c"^n DeleteOperation eID,count s'ntf count=count-1 $# @G! End If g||{Qmr=1 count=count+1 '@wYr|s4 Wend =+97VO(w]G e6k}-<W*q 'Set new z-shift X^?<, Y)1. op.Type = "ShiftZ" G!oq
;< op.val1 = tlens ];^A8? op.parent = parID 6J6MR<5' AddOperation eID, op 42:\1B#[ Print "Set lens thickness = " & tlens B>t$Z5Q^X IO`.]iG '************************************************************************* ?.IT!M}DR 'Lens index of refraction pQ*9)C '************************************************************************* $uawQf+S eID = FindMaterial( "Lens" ) r`i<XGPJ% GetModelMaterial eID, mat ss% ahs F^IYx~: mat.Nd = nlens J+[&:]=P SetModelMaterial eID, mat vd SV6p.d Print "Set lens index of refraction = " & nlens 9]VUQl9gh e1S |&W8 '************************************************************************* ;)5d
wq 'Pupil diameter 7h<Q{X<A '************************************************************************* >yg mE`g eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) AASw^A3p ,!|/|4vh 'Adjust pupil diameter (trimming volume inner hole) 2K!3+D" K/+5$SjF SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" bec n$R gf2l19aP ' Adjust pupil location to just in front of the lens &'N{v@Oi) parID = FindFullName( "Geometry.Arizona Eye" ) <G{m= eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) A0cC)bd& count = 0 `&4L'1eF{ While GetOperationCount(eID)>count mgL~ $ GetOperation eID, count, op vO%n~l= If op.Type="ShiftZ" Then iRS )Z) DeleteOperation eID,count 8uM >Up X count=count-1 |J'@-*5?[8 End If 5iz]3]}% count=count+1
b~Op1p Wend 4g b2$" ! op.Type = "ShiftZ" \ZigG{ op.val1 = taq-0.01 E08FUAth]# op.parent = parID 2Auhv!xV AddOperation eID, op k8F<j)" Tw)nFr8oF] Print "Set pupil diameter = " & pupilDiam +b.<bb6 7!#x-KR~5 'Update AZ Eye subassembly Description {xW?v; eID = FindFullName( "Geometry.Arizona Eye" ) 36*"oD=@ GetEntity eID, entity @R_a'v- entity.Description = "Accommodation = " & A & "D" Q'~kWmLf SetEntity eID, entity Q`4= Lz2wOB1Zc+ Update sczN0*w&C Print "DONE!" xpxUn8. u&/q7EBfP End Sub hq6fDRO/4 |o6
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如果屈光度是4,光瞳直径是4,则会输出如下数据: 8s/gjEwA ^rfY9qMJr8 Accommodation = 4 Diopters [pUw(KV2m Pupil Diameter = 4 mm h
+.8Rl Set aqueous humor thickness = 2.81 )y\^5>p[ Set anterior lens radius = 10.4 and conic constant = -2.375869 gYA|JFi Set posterior lens radius = -4.424557 and conic constant = -3.081019 am{f<v,EI Set lens thickness = 3.927 OKNA36cU' Set lens index of refraction = 1.42672 c$rkbbf~V Set pupil diameter = 4 X]U,`oE)9 DONE! 8V >j-C );_g2=:# (文章来源:讯技光电)
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