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简介 s%p,cz;
, |ZBHXv 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。 Y9_OkcW) s!Y`1h{ 模型 !3 j@gi2 >y7|@'V[v0 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。 vh"> Z4 @h$4M t7N Table 1. AZ眼睛模型的定义 D^jyG6Ch 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. byB
ESyV!O #HF;yAc 光源 O2 sAt3' iD-,C` 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。 X!/o7< g (:%E %\ef
Mhn 图1. 光源和提示信息使用 C^W9=OH 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。 k),!%6\( LtIw{*3 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。 pk5W!K tP;^;nw 图2. 字母F光源的设定方法光 XBF]|}% nL]-]n; 图3. 字母F在视网膜上位置点列图 s1| +LT,D 视网膜的散射 T~"T%r 1deNrmp% 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。 _J+p[=[L IS9}@5`' VM [U&g<8n 图4. 视网膜朗伯散射设定 7UzbS,$x 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 M^twD* \gE6KE<?p WUnmUW[/ 图5. 视网膜重点采样规格设定 z/&2Se: 脚本 L@t}UC ; M%n=+[O 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: ds9L4zfO ]J
aV +b'O 图6. 用户对话框的创建与编辑 vsU1Lzna6@ 图7. 用户对话框编辑器 43p0k&;-7 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 M*x1{g C/ 余下的脚本计算与屈光度有关的所有参数。
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U 分析 d
l<7jM? ?'L3B4 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 w?LDaSz\t DL:wiQ 图7. 字母F在视网膜上颜色分析 =eNh))] 脚本代码 LQs>[3rK xct{Tv[FO Option Explicit 'Remove this to enable non-dimensioned variables to be used. OB{d^e} ?z]hYsy Dim entity As T_ENTITY k Up[b~ Dim op As T_OPERATION rnV\O L Dim mat As T_MODELMATERIAL ;[ag|YU$Y Dim A As Double v|r=}`k= Dim pupilDiam As Double wgeR%#DW Dim eID As Long nM?mdb Dim parID As Long }%;o#!<N(@ Dim count As Integer tAM t7p- Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ",hPy[k Dim tlens As Double, nlens As Double Qq. ht Dim curv As Double, conic As Double !N@d51T=N Dim ok As Long 9O.okU tf5h/: Sub Main e/p 2| 4; N5SePA\ ,? '用户输入对话框 ^=lh|C\# Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 A=z+@b6 TextBox 220,21,40,21,.TextBox1 'default: 0 `~hB-Z5dI Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 N`JkEd7TT OKButton 40,91,90,21 >4.K>U?0FC CancelButton 190,91,90,21 ~_ 8X%uty Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ?C[W~m P TextBox 220,49,40,21,.TextBox2 'default: 4 #9a\Ab End Dialog H:d@@/ Dim dlg As UserDialog 8?>
# v%=@_`Ht ok = Dialog (dlg) *&d>Vk."] M'n2 j If ok=0 Then 'cancel button was pressed 4zRz U Print "Execution cancelled." ~'[0-_]=f End xxsax/h End If ds*N1[
* #'@pL0dj 'Assign accommodation and pupil diameter & use defaults if field left empty tLz,t&h If dlg.TextBox1 = "" Then sr=~Uq{g A = 0 'Default accommodation <;R}dlBASW Else :?*|D p1 A = CDbl(dlg.TextBox1) ;_HG
5}i End If =Z3{6y}3p ~ryB*eZH If dlg.TextBox2 = "" Then 4DYa~ =w pupilDiam = 4 'Default pupil diameter R0l5"l*@+ Else 'nrXRDb pupilDiam = CDbl(dlg.TextBox2) $mV1K)ege End If -8r';zR .}wVM`81z Print " "
MYD`P2F Print "Accommodation = " & A & " Diopters" CTG:C5OK Print "Pupil Diameter = " & pupilDiam & " mm" DxFmsjX[L e#+u8 LrN ' Calculate new parameters with accommodation 8R) 0|v&; taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness Ly7|:IbC W7_j;7' Rant = 12.0 - 0.4*A 'Radius of anterior lens co93}A,k CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens CWTPf1?eB /f5*KRM Rpost = -5.224557 + 0.2*A 'Radius of posterior lens &$1ifG CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens . paA0j rF3QmR?l tlens = 3.767 + 0.04*A 'Lens thickness rkF>c YT*_
vmJV nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction 5Hli@:B2s ]f3[I3;K 'Adjust parameters to account for accommodation R 2{ kS va>u1S<lO '************************************************************************* X\-IAv 'Aqueous thickness (Position of Lens) O3YD
jas '************************************************************************* Ap:mc: eID = FindFullName( "Geometry.Arizona Eye.Lens" ) -kGwbV} GetCustomElement eID, entity MsaD@JY.y fAMk<? parID = FindFullName( "Geometry.Arizona Eye" ) lR[]A /#lqv)s' ' Delete any shift(s) in z 0:CIM count = 0 u%o]r9xl' While GetOperationCount(eID)>count DFk0"+Ky GetOperation eID, count, op lBpy0lo# If op.Type="ShiftZ" Then TbUouoc DeleteOperation eID,count u{6b>c|,X count=count-1 y:m
;_U,%c End If u . xUM count=count+1 !a.|URa7 Wend :aIS>6 hR g?H 'Set new shift in V!{}%;f op.Type = "ShiftZ" Sj[iKCEKtv op.val1 = taq i7%v2_ op.parent = parID ~$WBc qo AddOperation eID, op /.1yxb#Z?, Print "Set aqueous humor thickness = " & taq-0.55 @L 9C_a )wt mc4' '************************************************************************* HGwSsoS 'Radius and conic constant of anterior lens YQH=]5r '************************************************************************* } xy>uT eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ,:E*Mw: GetConic eID, entity, curv, conic <Lt%[dn /O^aFIxk SetConic eID, entity, 1/Rant, CCant uZg[PS=@!X Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant dr[sSBTY" Fx3CY W '************************************************************************* $ #*";b)QY 'Radius and conic constant of posterior lens ~YH'&L.O '************************************************************************* YLx4qE eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) o4zX
41W GetConic eID, entity, curv, conic 1@i|[dq 6H #4iMeh SetConic eID, entity, 1/Rpost, CCpost ~\{a<-R Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost fK0VFN8<I }%T8?d] '************************************************************************* ]SO-NR 'Lens thickness (Position of posterior lens surface) ' 1 }ybSG '************************************************************************* X%Lhu6F z>6hK:27 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) <27:O,I kA"|PtrW ' Delete any z-shift(s) lB(E:{6OZ count = 0 Qvx[F:#Tk While GetOperationCount(eID)>count -5 Q
gJ GetOperation eID, count, op fHLt{ !O If op.Type="ShiftZ" Then AW R DeleteOperation eID,count l9P=1TL count=count-1 4#D<#!]^ End If sU=7)*$ count=count+1 DD?zbN0X Wend k$ORV U rP7[{'%r 'Set new z-shift Od,P,t9 op.Type = "ShiftZ" 5fT"`FL? op.val1 = tlens "8-;Dq'+ op.parent = parID '|7'dlW AddOperation eID, op u^ 3,~:E Print "Set lens thickness = " & tlens :f/T$fa* \Qgc7ev '*************************************************************************
y"L7.B 'Lens index of refraction o?O> pK '************************************************************************* WSKubn?7B eID = FindMaterial( "Lens" ) (>R GetModelMaterial eID, mat B*3<(eI qj#C8Tc7 mat.Nd = nlens i[#XYX'\ SetModelMaterial eID, mat ;S5J"1)O~ Print "Set lens index of refraction = " & nlens XZ&cTjNB& "8#EA<lsS '************************************************************************* Ifu[L&U 'Pupil diameter DmA~Vj!a^y '************************************************************************* T1\@4x eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ~85>.o2RDW w~%Rxdh?8W 'Adjust pupil diameter (trimming volume inner hole) Ds<~JfVl QSNPraT SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" w2(pgWed 1Uaj}=@M ' Adjust pupil location to just in front of the lens JP1XH k parID = FindFullName( "Geometry.Arizona Eye" ) xo.k:F eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) [a[.tR38e count = 0 ?lPyapA] While GetOperationCount(eID)>count B'D\l\w GetOperation eID, count, op _wp_y-" If op.Type="ShiftZ" Then B4MrrW4= DeleteOperation eID,count U^&,xz$Cg count=count-1 7@NV|Idtd End If '5r\o8RjN count=count+1 M?ObK#l!_ Wend ]I[\Io 1 op.Type = "ShiftZ" Q nTKo&|9 op.val1 = taq-0.01 N!~5S` op.parent = parID kc7,F2=F AddOperation eID, op L']"I^(N xh:A*ZI=7 Print "Set pupil diameter = " & pupilDiam [lz#+~rOS Wi+}qO 'Update AZ Eye subassembly Description PY76;D*` eID = FindFullName( "Geometry.Arizona Eye" ) WXs?2S* GetEntity eID, entity m|]:oT`M entity.Description = "Accommodation = " & A & "D" <5]ufv SetEntity eID, entity EpU}~vC9C H{et2J<H Update k4-S:kVo Print "DONE!" (&!RX.i $e, N5/O End Sub I&wJK'GM` &Sdf0" 如果屈光度是4,光瞳直径是4,则会输出如下数据: H#/Hs# =oT4!OUf Accommodation = 4 Diopters qO RL
7?{ Pupil Diameter = 4 mm WYm<_1 Set aqueous humor thickness = 2.81 \ OW.?1d Set anterior lens radius = 10.4 and conic constant = -2.375869 H{4_,2h=m Set posterior lens radius = -4.424557 and conic constant = -3.081019 ;Xl {m`E+ Set lens thickness = 3.927 }Y!v"DO#Q* Set lens index of refraction = 1.42672 }B ?_>0 Set pupil diameter = 4 I|<`Er-;58 DONE! PS3jCT
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