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简介 VMF?qT3Nd
6p@[U>` 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。 #|8%h '4 d4i 模型 ;o)'dK > dVhIbG 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。 .Y2Hd$rs QxPPgn7' Table 1. AZ眼睛模型的定义 Ohgu*5!o 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. cQxUEY('+ 66-\}8f8a 光源 94O\M
RQ* Wm" q8-<< 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。 vN
v'%;L FO(QsR=\s 0827z 图1. 光源和提示信息使用 %CYo,
e 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。 Y=|20Y\K F,)+9/S& 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。 G6{'|CV ^w%%$9=:r 图2. 字母F光源的设定方法光 ,_H H8[& HCrQ+r{g 图3. 字母F在视网膜上位置点列图 4".I*ij 视网膜的散射 &?Erkc~# i,"Xw[H*s 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 9W(&g)` ]v5/K "oiN8#Hf 图4. 视网膜朗伯散射设定 R}w}G6"\ 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 Fab]'#1q4 ^ )"Il 4Dn&+=fq 图5. 视网膜重点采样规格设定 @1xVWSF 脚本 XXX y*/P l]D$QT3 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: NAtDt= N LQ".mM+ 图6. 用户对话框的创建与编辑 _:NQF7X#ug 图7. 用户对话框编辑器 #wT6IU1 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。 f*"T]AX0 余下的脚本计算与屈光度有关的所有参数。 :qqG%RB k7@QFw4 j 分析 0+1!-Wo zJ(DO>,p& 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 At<MY`ka G"m0[|XH 图7. 字母F在视网膜上颜色分析 cy(w*5Upu 脚本代码 4Zu1G#(zP _kRc"MaB Option Explicit 'Remove this to enable non-dimensioned variables to be used. wXp:XZ:]T Kv!:2br Dim entity As T_ENTITY 6
%aaK|0 Dim op As T_OPERATION 3f^jy( Dim mat As T_MODELMATERIAL U5-8It2OR Dim A As Double |.RyF@N`T Dim pupilDiam As Double ng|^Zm% Dim eID As Long
{E(2.'d Dim parID As Long ed5oN^V.< Dim count As Integer oDD"h,Z Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double Kv1~,j6 Dim tlens As Double, nlens As Double k ?6d\Q Dim curv As Double, conic As Double Hc<@T_h+2 Dim ok As Long IQC[ewk ^{IZpT3 Sub Main 6~ y' \WnTpl>B '用户输入对话框 S]%,g%6i Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 r{d@74 TextBox 220,21,40,21,.TextBox1 'default: 0 R#ZJLT Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 xc@$z*w OKButton 40,91,90,21 3)CIqN CancelButton 190,91,90,21 RAhDSDf Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 2.Ww(`swL TextBox 220,49,40,21,.TextBox2 'default: 4 Z@x& End Dialog #l&*&R~> Dim dlg As UserDialog iNl<<0a (i(E~^O ok = Dialog (dlg) 9?hF<}1XH} ;xw9#.d#D If ok=0 Then 'cancel button was pressed _hl| 3
eW5 Print "Execution cancelled." D}}?{pe End Z-ci[Zv End If bG"FN/vg kk<%VKC 'Assign accommodation and pupil diameter & use defaults if field left empty :epB:r If dlg.TextBox1 = "" Then saZK+kD4I A = 0 'Default accommodation mYJ8O$ Else iNi1+sm A = CDbl(dlg.TextBox1) sl$y&C- End If BB3a8 ,MJddbcg If dlg.TextBox2 = "" Then C^'r>0 pupilDiam = 4 'Default pupil diameter c8 Else Z>3~n pupilDiam = CDbl(dlg.TextBox2) 0Qeda@J End If euT=]j p(I^Y{sGI Print " " yyu -y0_ Print "Accommodation = " & A & " Diopters" 91&=UUkK? Print "Pupil Diameter = " & pupilDiam & " mm" hTZ6@i/pS +&f_k@+ ' Calculate new parameters with accommodation N
GnE taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness $,r%@'= & S{2;PaK Rant = 12.0 - 0.4*A 'Radius of anterior lens NW0se
DL CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens ?Q=(?yR0] a(O@E%|u Rpost = -5.224557 + 0.2*A 'Radius of posterior lens U,yZ.1V^: CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 6 mLC{X[ mP15PZ tlens = 3.767 + 0.04*A 'Lens thickness D1>*ml &u[F)| nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction [-Y~g%M ~MB)}!S: 'Adjust parameters to account for accommodation F:<+}{Av rs>,p) '************************************************************************* ]
X]!xvN@ 'Aqueous thickness (Position of Lens) /i@.Xg@: '************************************************************************* r/NaoIrJV eID = FindFullName( "Geometry.Arizona Eye.Lens" ) s/~[/2[bnf GetCustomElement eID, entity <T.R%Jys Q2)5A&U\ parID = FindFullName( "Geometry.Arizona Eye" ) m^ar:mK@ +J| LfXgB ' Delete any shift(s) in z KdHkX+-R count = 0 hTby:$aCg While GetOperationCount(eID)>count UBQtD|m\ GetOperation eID, count, op .':17 $c`H If op.Type="ShiftZ" Then u}R|q DeleteOperation eID,count UDJ#P9uy count=count-1 dE[X6$H[ End If G&wYV[Ln count=count+1 +YCWoX2 Wend V5h_uGOD T=V{3v@zs 'Set new shift in g_tEUaiK op.Type = "ShiftZ" 5$Kv%U op.val1 = taq Gk58VODo op.parent = parID ^Vh^Z)gGi AddOperation eID, op ^5 "yY2}- Print "Set aqueous humor thickness = " & taq-0.55 l&] %APL SU7,uxF '************************************************************************* HH(2 'Radius and conic constant of anterior lens u5U^}<}y} '************************************************************************* 9
s2z=^ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ,e`n2) GetConic eID, entity, curv, conic !VG
]~lc g;o5m} SetConic eID, entity, 1/Rant, CCant n~w[ajC/ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 4T)`%Oo<} ~$
?85 '************************************************************************* T|YMU?4 'Radius and conic constant of posterior lens V*%><r '************************************************************************* B=_5gZ4Y eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ?5pZp~ GetConic eID, entity, curv, conic |N^8zo : Uul5h8F SetConic eID, entity, 1/Rpost, CCpost 9dp4&&Z+F Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost a)+*Gf7? 65+2+p '************************************************************************* Jl6biJx 'Lens thickness (Position of posterior lens surface) VeFfkg4 '************************************************************************* 6(A"5B=\ =7~;*Ts parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 11A;z[Zk [zrFW
g6N ' Delete any z-shift(s) TPN1Rnt0` count = 0 X1u\si%.4S While GetOperationCount(eID)>count #iD`Bg!VXc GetOperation eID, count, op 90<a'<\| If op.Type="ShiftZ" Then KAr5>^<zw DeleteOperation eID,count 2'ws@U}lR count=count-1
a(`"qS End If gd]k3XN$f count=count+1 #xq|/JWs Wend A4L.bBl \/Zo*/ 'Set new z-shift -3y
$j+ op.Type = "ShiftZ" _*t75e$- op.val1 = tlens 8)f/H&)>8 op.parent = parID 3?&P^{ AddOperation eID, op ,;h}<("q Print "Set lens thickness = " & tlens h)r=+Q\'(S V)oKsO '************************************************************************* leXdxpc 'Lens index of refraction Q'^$;X~-< '************************************************************************* Fcn@j#[J eID = FindMaterial( "Lens" ) B|AIl+y GetModelMaterial eID, mat /5f=a
@[ '?AsO mat.Nd = nlens E,A9+OKxJ SetModelMaterial eID, mat "t>H
B6^ Print "Set lens index of refraction = " & nlens fhki!# E8M / EVXkf0 '************************************************************************* $cO-+Mr-~ 'Pupil diameter ch/DBu '************************************************************************* %LnG^L eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) kh"APxQ79 AD'c#CT 'Adjust pupil diameter (trimming volume inner hole) Qer}eg`R 8/|1FI SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" X&%;(` ~y :?w(GD ' Adjust pupil location to just in front of the lens 5%fR9?) parID = FindFullName( "Geometry.Arizona Eye" ) )},/=#C0 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) e=",58 count = 0 '81WogH: While GetOperationCount(eID)>count 3pkx3tp{ GetOperation eID, count, op mGUG If op.Type="ShiftZ" Then %cq8%RT DeleteOperation eID,count 1z8fhE iiE count=count-1 `S]DHxS End If S^SF!k= count=count+1 Ec!R3+ Wend _&$nJu op.Type = "ShiftZ" B,{Q[ op.val1 = taq-0.01 Ehtb`Ms op.parent = parID )dRBI)P AddOperation eID, op 6"o@d8>v 6[]O3Aa Print "Set pupil diameter = " & pupilDiam v<]$,V] h]^=
y.Q 'Update AZ Eye subassembly Description q{Gf@ eID = FindFullName( "Geometry.Arizona Eye" ) ue!wo-|#G GetEntity eID, entity $4>x4* entity.Description = "Accommodation = " & A & "D" %T~LK=m SetEntity eID, entity $&0\BvS .!g Update }vX/55 Print "DONE!" #Gu(h(Z s k{+Gv}Y End Sub lUM-~ (=QiXX1r 如果屈光度是4,光瞳直径是4,则会输出如下数据: 24d{ol) (!diPwcv Accommodation = 4 Diopters od]1:8OF Pupil Diameter = 4 mm W&9X <c* Set aqueous humor thickness = 2.81 FmtV[C# Set anterior lens radius = 10.4 and conic constant = -2.375869 'X1/tB8* Set posterior lens radius = -4.424557 and conic constant = -3.081019 BGL-lJrG Set lens thickness = 3.927 #}nDX4jI Set lens index of refraction = 1.42672 Wg=4`&F^ Set pupil diameter = 4 #j6qq3OG DONE! G\H |\i Jnq}SUev Ku] <$uo QQ:2987619807 kBJx`tjtp
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