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简介 t(-noy) 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。 Pk7Yq:avL )dbi 模型 3<1Uq3Pa <- Q=h?D 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。 V{p*N* r]sv50Fy Table 1. AZ眼睛模型的定义 [nJ),9$z_ 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. 57Q^"sl
fD 光源 x1W<r)A )r }+h/2D 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。 \C5 YVl# Eg-3GkC r9sW:cM:e 图1. 光源和提示信息使用 ^\Nsx)Y; 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。 DnS#
cs~ Zj99]4?9 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。 'due'|#^ $J>GCY 图2. 字母F光源的设定方法光 1@6dHFA`o NDEltG( 图3. 字母F在视网膜上位置点列图 3,+)3,N 视网膜的散射 t&T0E.kh*X Jp=eh 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 OW-[#r
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cf 图4. 视网膜朗伯散射设定 <RS@, 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 m!3b.2/h z 0]K:YV_
AC@WhL 图5. 视网膜重点采样规格设定 3zo]*6p0 脚本 8Eyi`~cAiH lG/M%i 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: l5F>v!NA
uo;aC$US 图6. 用户对话框的创建与编辑 zV_U/]y 图7. 用户对话框编辑器 "Lk-R5iFd 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。 ]ppi962Z 余下的脚本计算与屈光度有关的所有参数。 (xf_ Gx
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HgPRz C 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 YhYcqE8 sgp5b$2T. 图7. 字母F在视网膜上颜色分析 {"$
Q'T 脚本代码 e>vV8a\ 9ot A5I^v Option Explicit 'Remove this to enable non-dimensioned variables to be used. SIv8EMGo j&6'sg;n) Dim entity As T_ENTITY d0ThhO Dim op As T_OPERATION -.-je"E Dim mat As T_MODELMATERIAL WJbdsPs Dim A As Double /` 891(f, Dim pupilDiam As Double <`,pyvR Kv Dim eID As Long DFKFsu8s Dim parID As Long Dnn$-W|NC Dim count As Integer .|[ZEXq Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double @ FVan Dim tlens As Double, nlens As Double px;5X4U Dim curv As Double, conic As Double hfT HP Dim ok As Long D%GB2-j R ivg:`$a[ Sub Main }1E'a>^| =67dpQ'y '用户输入对话框 /cHd&i,> Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 gdkl,z3N3 TextBox 220,21,40,21,.TextBox1 'default: 0 wv0d"PKTS Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 [~03Z[_"/ OKButton 40,91,90,21 BayO+,>K CancelButton 190,91,90,21 iJ.P&T9 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 r2A%.bL# TextBox 220,49,40,21,.TextBox2 'default: 4 37GJ}%Qs End Dialog rI34K~ P Dim dlg As UserDialog 1cPm $=B ^%l~|w ok = Dialog (dlg) V^fSrW] M,xhQ{eBY If ok=0 Then 'cancel button was pressed gI8r SmH Print "Execution cancelled." V
;Kzh$^rk End vJ5` :4n" End If "{>I5<:t <tkxE!xF`J 'Assign accommodation and pupil diameter & use defaults if field left empty lg` Qi& If dlg.TextBox1 = "" Then &2IrST{d:V A = 0 'Default accommodation ^9*FYV Else %zj;~W;qPH A = CDbl(dlg.TextBox1) mUW|4zl i} End If `L p3snS T \%{zz_( If dlg.TextBox2 = "" Then E^uau=F pupilDiam = 4 'Default pupil diameter .w5#V| Else fy|ycWW>8 pupilDiam = CDbl(dlg.TextBox2) L4Ep7= End If l%"[857 v~^c-]4I Print " " 3=o^Vv Print "Accommodation = " & A & " Diopters" `H+~LVH Print "Pupil Diameter = " & pupilDiam & " mm" S~jl%] #hL<9j ' Calculate new parameters with accommodation ,Q|[Yr taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ;#c|ZnX L B`=+FD Rant = 12.0 - 0.4*A 'Radius of anterior lens MQ;c'?!5[! CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens p&1IK8i" 'Okitq+O Rpost = -5.224557 + 0.2*A 'Radius of posterior lens qh}M!p2 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens |lH~nU.* b;$ -s
\% tlens = 3.767 + 0.04*A 'Lens thickness V9xZH5T8^ Mazjn?f nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction BLxtS ZUGuV@&-T 'Adjust parameters to account for accommodation ,arFR'u> tBEZ4 W>67 '************************************************************************* [@D+kL*> 'Aqueous thickness (Position of Lens) L \0nO i '************************************************************************* ?^iX% eID = FindFullName( "Geometry.Arizona Eye.Lens" ) sO7$b@"u. GetCustomElement eID, entity \(UEjlo ?DP]#9 /4 parID = FindFullName( "Geometry.Arizona Eye" ) b_88o-*/ ow :}NI ' Delete any shift(s) in z \ZdV|23 count = 0 6itp
Mck While GetOperationCount(eID)>count S0. GetOperation eID, count, op )@DT^#zR If op.Type="ShiftZ" Then @l3L_;6a DeleteOperation eID,count 0gNwC~IA8 count=count-1 _Y@'<S. End If mo%9UL,#W count=count+1 .<JD'%?" Wend W]|;ZzZ=m G'c!82;,? 'Set new shift in ahgm*Cpc op.Type = "ShiftZ" }>:v op.val1 = taq zo66=vE! op.parent = parID +gb2>fei& AddOperation eID, op @W3fKF9*R Print "Set aqueous humor thickness = " & taq-0.55 $I(2}u?1+d V^Wo%e7#u[ '************************************************************************* 1G/bqIMg63 'Radius and conic constant of anterior lens $^R[t; '************************************************************************* 42:~oKiQ$" eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) MtOAA GetConic eID, entity, curv, conic Te?UQX7Z}M /$zYSP)YT SetConic eID, entity, 1/Rant, CCant @
?y(\> Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant s+?r4t3H! @ -pi '************************************************************************* 4)Y=)#= 'Radius and conic constant of posterior lens eN]0]9JO '************************************************************************* $x;wnXXXM eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) _$/(l4\T[ GetConic eID, entity, curv, conic +) 2c\1 JBQ,rX_Hw SetConic eID, entity, 1/Rpost, CCpost ?}^e,.M0?s Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost d|Wpub _[h1SAJ '************************************************************************* #tG/{R 'Lens thickness (Position of posterior lens surface) 2&fIF}vk>m '************************************************************************* E@QsuS2& MO)N0{.b parID = FindFullName( "Geometry.Arizona Eye.Lens" ) pLMki=.Ld &,Dh*)k ' Delete any z-shift(s) 8YFfnk count = 0 UMUr"-l = While GetOperationCount(eID)>count ewB&PR GetOperation eID, count, op reLYtv If op.Type="ShiftZ" Then 0+IJ, ;Wx DeleteOperation eID,count SFKW"cP count=count-1 !$hrK6o End If :av6*&+ count=count+1 ;<0Q<0G Wend y]eH@:MJ;A <jU[&~p 'Set new z-shift m *8[I op.Type = "ShiftZ" 1R9hA7y&,/ op.val1 = tlens e#IED!U op.parent = parID ->&AJI0 AddOperation eID, op pgT{#[=> Print "Set lens thickness = " & tlens q{Hk27kt "XMTj <D '************************************************************************* ?,NZ/n 'Lens index of refraction yJ8WYQQMG '************************************************************************* 4W}8?&T eID = FindMaterial( "Lens" ) X<ZIeZBn GetModelMaterial eID, mat Y[Us"K` <QTu"i mat.Nd = nlens a^i`DrX SetModelMaterial eID, mat YMLo~j4J Print "Set lens index of refraction = " & nlens "?lirOD F7UY>z3jL '************************************************************************* Hk8:7"4Q 'Pupil diameter VcIsAK".4[ '************************************************************************* `ysPEwA| eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) =K{$?%"
y.5mYQA4=[ 'Adjust pupil diameter (trimming volume inner hole) K,%H*1YKK ^*'|(Cv SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 9I=J#Hi|+ $bh2zKB) ' Adjust pupil location to just in front of the lens kvv-f9/- parID = FindFullName( "Geometry.Arizona Eye" ) P
(jlWr$$ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) d6,%P6 count = 0 pmB}a7 While GetOperationCount(eID)>count K+Al8L?K_ GetOperation eID, count, op U*,8,C If op.Type="ShiftZ" Then cH'*J/ DeleteOperation eID,count :h0as!2@dp count=count-1 Xj"/6|X End If o+`W count=count+1 l/[@1(F Wend CjORL'3 op.Type = "ShiftZ" A,e/y op.val1 = taq-0.01 a kgXI^K op.parent = parID r
vVU5zA4H AddOperation eID, op |~hSK zC!]bWsD Print "Set pupil diameter = " & pupilDiam =#n05*^ C\dQ6(3}\ 'Update AZ Eye subassembly Description 8^&)A b eID = FindFullName( "Geometry.Arizona Eye" ) f!e8xDfA GetEntity eID, entity p9XHYf72 entity.Description = "Accommodation = " & A & "D" )QaI{ z SetEntity eID, entity UF=5k~7<b YTQ|Hg6jO Update s
,\w00-: Print "DONE!" !0c7nzjm {o+aEMhM End Sub BqP:] )Ac8'{Tq/ 如果屈光度是4,光瞳直径是4,则会输出如下数据: gl:vJD @5\OM#WT~& Accommodation = 4 Diopters 6Bmv1n[X^h Pupil Diameter = 4 mm \% !]qv Set aqueous humor thickness = 2.81 X<K[`
=I Set anterior lens radius = 10.4 and conic constant = -2.375869 +cheLc Set posterior lens radius = -4.424557 and conic constant = -3.081019 wd~e3%JM Set lens thickness = 3.927 2W|4 Set lens index of refraction = 1.42672 c%>t(ce`Tl Set pupil diameter = 4 lg&"=VXx51 DONE! FoWE< \K`AO{ D@ (文章来源:讯技光电)
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