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简介 *aWh]x9TlU 9e>2kd 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。 lt:&lIW,3 uE (5q!/ 模型
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(4 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。 |ZifrkD= =FIZh}JD Table 1. AZ眼睛模型的定义 +$(y2F7|u- 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. M!!vr8} dnwzf=+>e 光源 W?E,"z w_@{v wM$A 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。
n7Eh!< _ eBNbO_J ps,Kj3^T< 图1. 光源和提示信息使用 >d]-X] 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。 K8BlEF` 8?kB+}@6X 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。 rDoMz3[w iiJT%Zq`# 图2. 字母F光源的设定方法光 <zvtQ^{] Oe@w$? 图3. 字母F在视网膜上位置点列图 PZZPx<?N 视网膜的散射 ELMz~vp #`%S[)RT 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 S[/udA . a @7 #Y-_kQV* 图4. 视网膜朗伯散射设定 wG)[Ik6: 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 cyHbAtl i(.PkYkaq b3%a4Gg& 图5. 视网膜重点采样规格设定 r^rk@W;[ 脚本 pG)dF@ "10\y{`v^ 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: s%Ph Yqo @
g2g 图6. 用户对话框的创建与编辑 r]D>p&4 图7. 用户对话框编辑器 s/11TgJ 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 ~.U\Y 余下的脚本计算与屈光度有关的所有参数。 qyKR]%yzi 4Jc~I 分析 MwSfuP 7iM@BeIf 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 Q7v1xBM g;AW 图7. 字母F在视网膜上颜色分析 G}NqVbZ9] 脚本代码 Lp|n)29+du oVbs^sbRH Option Explicit 'Remove this to enable non-dimensioned variables to be used. &1yErGXC ..'"kX:5 Dim entity As T_ENTITY T5T[$%]6 Dim op As T_OPERATION Da6l=M Dim mat As T_MODELMATERIAL \k=%G_W Dim A As Double 0
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_/ Dim pupilDiam As Double #{?RE?nD Dim eID As Long 0Db=/sJ> Dim parID As Long wEI?
9 Dim count As Integer ZXiJ5BZ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double Q\xDAOEL Dim tlens As Double, nlens As Double
;Q/1l=Bn Dim curv As Double, conic As Double Rx&.,gzj[ Dim ok As Long N;!!*3a9= W[Z[o+7pK Sub Main *nHMQ/uf ScVbo3{m*T '用户输入对话框 e!w2_6?3 Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 I|;zGmg#k TextBox 220,21,40,21,.TextBox1 'default: 0 En&gI`3n Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 7o!t/WEEq OKButton 40,91,90,21 .s41Tc5u CancelButton 190,91,90,21 mO]dP;, Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 <)sL8G9Y TextBox 220,49,40,21,.TextBox2 'default: 4 ^vxNS[C`; End Dialog e(b$LUV Dim dlg As UserDialog ]EDCs?, 8o
$` ' ok = Dialog (dlg) U-,s/VQ? P&tw!B If ok=0 Then 'cancel button was pressed 4:b'VHW. Print "Execution cancelled." " L,9.b End l)jP!k End If ?pd/cj^ {:n1|_r4Z 'Assign accommodation and pupil diameter & use defaults if field left empty 4N7|LxNNl_ If dlg.TextBox1 = "" Then %i?v)EW A = 0 'Default accommodation {KEmGHC4R Else o:4#AkS A = CDbl(dlg.TextBox1) }rs>B,=*k End If ]8Xip/uE 10m|? If dlg.TextBox2 = "" Then >$r o\/ pupilDiam = 4 'Default pupil diameter A
=&`TfXu Else mWn0"1C pupilDiam = CDbl(dlg.TextBox2) 1B~Z1w End If q68m*1?y *ywr_9 Print " " TK~KM Print "Accommodation = " & A & " Diopters" d(b~s2\i Print "Pupil Diameter = " & pupilDiam & " mm" STg}
Z $2}%3{<j ' Calculate new parameters with accommodation #!#s7^%K& taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness "*MF=VB1 Vu E$-)&) Rant = 12.0 - 0.4*A 'Radius of anterior lens M&Ln'BC CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens <viC~=k; ]-SJ";aU Rpost = -5.224557 + 0.2*A 'Radius of posterior lens X2:23j< CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens _bgv +/ Ra
H1aS( tlens = 3.767 + 0.04*A 'Lens thickness [U"/A1p {5d 5Y%& nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction [9MbNJt 8~ 1_Av_X 'Adjust parameters to account for accommodation &" J; @^ m0>H '************************************************************************* Mk+G(4p 'Aqueous thickness (Position of Lens) ?Drq!?3PDc '************************************************************************* ~ ^ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) .`v%9-5v
GetCustomElement eID, entity 9zIqSjos" *BF[thB:a parID = FindFullName( "Geometry.Arizona Eye" ) difX7)\ L2~'Z'q ' Delete any shift(s) in z Un
T\6u count = 0 u3tT=5.D While GetOperationCount(eID)>count Sw5-^2x0' GetOperation eID, count, op kBoQjOV` If op.Type="ShiftZ" Then ~gNFcJuy DeleteOperation eID,count uaU2D-ft" count=count-1 fz2}M:u End If #5'&
|< count=count+1 3hUP>F8 Wend 1v,R<1)& 6f
?,v5 'Set new shift in $z 5kA9 op.Type = "ShiftZ" M:iH7K op.val1 = taq X:g#&e_ op.parent = parID G|8>Q3D AddOperation eID, op y=EVpd Print "Set aqueous humor thickness = " & taq-0.55 F*>#Xr~/ Q {BA`Q@V '************************************************************************* /4+(e I7 'Radius and conic constant of anterior lens !=a]Awr\ '************************************************************************* K'
<[kh:cl eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) BNI)y@E^X GetConic eID, entity, curv, conic jiLJiYMg CXyb8z4/+ SetConic eID, entity, 1/Rant, CCant 1KBGML-K3 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 7\R"RH- w1aoEo "S '************************************************************************* MxKTKBxQ 'Radius and conic constant of posterior lens 10OkrNQ '************************************************************************* k6RVP:V eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 2+~gZxHq GetConic eID, entity, curv, conic G43r85LO yBIX<P)vE' SetConic eID, entity, 1/Rpost, CCpost 1<_/Qu>V Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost +{I" e,Nk K:~tZ '************************************************************************* =adHP|S 'Lens thickness (Position of posterior lens surface) ftl?x'P% '************************************************************************* yO!M$aOn/ %d(= > parID = FindFullName( "Geometry.Arizona Eye.Lens" )
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7H5"( ' Delete any z-shift(s) |g!d[ct] count = 0 L
G5_\sY! While GetOperationCount(eID)>count <'SS IMr GetOperation eID, count, op *h3iAcM8 If op.Type="ShiftZ" Then ,-8-Y>[ DeleteOperation eID,count }*xjO/Ey count=count-1 ?# _{h End If k,k>w#& count=count+1 U,;796h Wend \]5I atli $j<KXR 'Set new z-shift 7}6CUo op.Type = "ShiftZ" [Z#Sj=z op.val1 = tlens #9!7-!4pW op.parent = parID g<.Is
V AddOperation eID, op pq&[cA_w Print "Set lens thickness = " & tlens c"Vp5lo0
xz.Jmv '************************************************************************* -C3 [:g 'Lens index of refraction u;c
WIRG '************************************************************************* yGAFQ|+ eID = FindMaterial( "Lens" ) Y68A+
B. GetModelMaterial eID, mat Xo/H+[;X Rb&9!z mat.Nd = nlens m|{^T/kIbQ SetModelMaterial eID, mat ,qv\Y] Print "Set lens index of refraction = " & nlens -D'XxOI `?3f76}h '************************************************************************* kmc"`Ogotw 'Pupil diameter Y7r;}^+WY '************************************************************************* NjOUe?BQ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) jHn7H)F8 $/IFSB9 'Adjust pupil diameter (trimming volume inner hole) tkr&Fs"t+ [X!w@d= i SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" gK({InOP w]{c*4o ' Adjust pupil location to just in front of the lens PgT8
1u parID = FindFullName( "Geometry.Arizona Eye" ) 111A e*U eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) H)7v$A,5% count = 0 /]!2k9u\ While GetOperationCount(eID)>count igk<]AwxS GetOperation eID, count, op T>rmm7F If op.Type="ShiftZ" Then Q+9:]Bt DeleteOperation eID,count ~i>DF`w$ count=count-1 prz COw End If -8Mb~Hfl0 count=count+1 U{M3QOF Wend ?{B5gaU9F op.Type = "ShiftZ" nM2<u[{gF op.val1 = taq-0.01 NGl
8*Af op.parent = parID k)S1Z s~G AddOperation eID, op ~ a`[p\ 0r1GGEW`s Print "Set pupil diameter = " & pupilDiam __.MS6"N C:5-h(# 'Update AZ Eye subassembly Description qfE0J;e eID = FindFullName( "Geometry.Arizona Eye" ) u*)/e9C GetEntity eID, entity }" vxYB!h3 entity.Description = "Accommodation = " & A & "D" *0!p_Hco SetEntity eID, entity J~]@#=,v =N\; ?eF( Update L4m Vk Print "DONE!" xS/W}-dPv /#M1J:SV End Sub D~ Y6%9 8e*skL 如果屈光度是4,光瞳直径是4,则会输出如下数据: S1U0sP@o Nb&j?./ Accommodation = 4 Diopters ya8p
4N{_ Pupil Diameter = 4 mm aM;SE9/U Set aqueous humor thickness = 2.81 iv *$!\Cd Set anterior lens radius = 10.4 and conic constant = -2.375869 @NRN#~S,_] Set posterior lens radius = -4.424557 and conic constant = -3.081019 <7\j\` Set lens thickness = 3.927 Nbd4>M< Set lens index of refraction = 1.42672 )
bI.K[0^ Set pupil diameter = 4 1~L;S DONE! P|$n
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