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简介 0{-`Th+h d [)_sa 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。 .F4oo =
dhZZb 模型 *e%Dg{_ 3T"#T&eL 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。 XpR.rq$] "|F.'qZrm Table 1. AZ眼睛模型的定义 8n;kK? 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. zwMQXI'k83 1po"gVot 光源 wu;7NatHx Lwp-2`% 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 XI]OA7Zis v>rqOI 4sj9Z: 图1. 光源和提示信息使用 be&6kG 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 :-$cdZ3E /z/hUa 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。 A
*a{ Km[]^;6 图2. 字母F光源的设定方法光 W"W@WG9X0 BHF{-z 图3. 字母F在视网膜上位置点列图 N{ : [/ 视网膜的散射 9@(O\ xr 's =Q.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。 Dm>T"4B`/ n"XdHW0 se~ *<5 图4. 视网膜朗伯散射设定 iSOD&J_ 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。 ''$`;?t> Tf9&,!>V WH{cJ7wCL 图5. 视网膜重点采样规格设定 h |s*i 脚本 )W[KD,0+j 'u4}t5Bu5 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: )o05Vda ^fA3<| 图6. 用户对话框的创建与编辑 Sja"(sJ 图7. 用户对话框编辑器 CHQ{+?# 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 [P.@1mV 余下的脚本计算与屈光度有关的所有参数。 r$b:1 C~ O4lxeiRgC 分析 ;6DR.2}?> ~Y1"k]J 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 tfi2y]{A wlm3~B\64 图7. 字母F在视网膜上颜色分析 nvU+XCx 脚本代码 p+u{W"I` V_NjkyI Option Explicit 'Remove this to enable non-dimensioned variables to be used. VaD: R=2
gtW"r Dim entity As T_ENTITY vS~AxeW/7R Dim op As T_OPERATION ;yRwoTc)Y Dim mat As T_MODELMATERIAL $-C6pZN(X Dim A As Double k$9Gn9L% Dim pupilDiam As Double ;s}-X_O< Dim eID As Long d/0/$Bz}P Dim parID As Long &M!4]pow Dim count As Integer yC9:sQ'k Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double X;K8,A7` Dim tlens As Double, nlens As Double *T.={>HE8 Dim curv As Double, conic As Double uf{SxEa Dim ok As Long Ig40#pA Y}V)4j Sub Main Ktg&G<%J0 Z&~k]R0y '用户输入对话框 9Q
SUCN_ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 }M"-5K} TextBox 220,21,40,21,.TextBox1 'default: 0 iqU.a/~y Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1
y)N.LS OKButton 40,91,90,21 b&hF')_UOz CancelButton 190,91,90,21 Y-}hNZn"{ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 UDIac;vT TextBox 220,49,40,21,.TextBox2 'default: 4 w]]x[D]L End Dialog :ofE8] Dim dlg As UserDialog ,g<>`={kK+ hq|jC ok = Dialog (dlg) ,iA2si 1CF7 If ok=0 Then 'cancel button was pressed F1Zk9%L%9$ Print "Execution cancelled." C%x(`S^/ End |Oj,S|Z: End If _js2^<7v} FM@W>+ 'Assign accommodation and pupil diameter & use defaults if field left empty l(0&6ENyj If dlg.TextBox1 = "" Then <.y^ A = 0 'Default accommodation I&Eg-96@ Else TkoCyD9 A = CDbl(dlg.TextBox1) hc@;}a\Y End If 37ri b d-A%ZAkE] If dlg.TextBox2 = "" Then 0qaG#&! pupilDiam = 4 'Default pupil diameter -\sKSY5{R Else ^{6UAT~!R pupilDiam = CDbl(dlg.TextBox2) &CPe$'FYI End If ]R2Z -2 #!<+:y'S? Print " " g-T X;( Print "Accommodation = " & A & " Diopters" {~B4F}ES Print "Pupil Diameter = " & pupilDiam & " mm" %n V@'3EI .{Eg(1At ' Calculate new parameters with accommodation BT*K,p taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness OFPd6,(E b`;b}ug Rant = 12.0 - 0.4*A 'Radius of anterior lens Eb{4.17b CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 6|(7G64{ >Y*iy Rpost = -5.224557 + 0.2*A 'Radius of posterior lens se*pkgWbz CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens cbg3bi :,J86#S) tlens = 3.767 + 0.04*A 'Lens thickness `P)64So-1 {F{[!. nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction D$^7Xhk 8xGkh?% 'Adjust parameters to account for accommodation H 29 _ / !Vod0j"> '************************************************************************* hTNYjXj 'Aqueous thickness (Position of Lens) 1<Ztk;$A '************************************************************************* -7Y'6''~W. eID = FindFullName( "Geometry.Arizona Eye.Lens" ) y&O_Jyg< GetCustomElement eID, entity `A}{
I}xq 5SPl#*W parID = FindFullName( "Geometry.Arizona Eye" ) ph$&f0A6Xc qz_TcU' ' Delete any shift(s) in z Q:xI}
]FM count = 0 >5z`SZf While GetOperationCount(eID)>count n6-!@RYr GetOperation eID, count, op |H|eH~.yg& If op.Type="ShiftZ" Then TJGKQyG$L DeleteOperation eID,count {<V|Gr count=count-1 ,:Y=,[ n End If 8aM%
9OU count=count+1 mrBhvp"" Wend EXM/>PG oY#XWe8Om 'Set new shift in w]}cB+C+l# op.Type = "ShiftZ" OG<]`!" op.val1 = taq 6`PGV+3j op.parent = parID MrygEC 5 AddOperation eID, op y`P7LC Print "Set aqueous humor thickness = " & taq-0.55 fqp7a1qQl vXWESy '************************************************************************* K|' ]Hje\ 'Radius and conic constant of anterior lens (G b{ckzs '************************************************************************* ^O\1v eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) l9Cy30O6 GetConic eID, entity, curv, conic 0i1?S6]d- ovRCF(Og, SetConic eID, entity, 1/Rant, CCant ?9.? w-Q' Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant s_e#y{{C2 u*YuU%H= '************************************************************************* Y(;[L`" 'Radius and conic constant of posterior lens TbUkqABm '************************************************************************* tYxlM! eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Ra,on&OP`* GetConic eID, entity, curv, conic ^ZZ@!Udy ="PywZ SetConic eID, entity, 1/Rpost, CCpost #T#FUI1p Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost '{_tDboY R=f5:8D<- '************************************************************************* vf'jz`Z 'Lens thickness (Position of posterior lens surface) \V7x3*nA '************************************************************************* p<.!::* %( ^|axt VhMO parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ZkG##Jp\> o0v m?CL# ' Delete any z-shift(s) ^{,},
i count = 0 Y- 9j2.{ While GetOperationCount(eID)>count I,q~*d GetOperation eID, count, op e}@J?tJK.L If op.Type="ShiftZ" Then @!tmUme1c DeleteOperation eID,count ,wy:RVv@e count=count-1 w@D@,q'x End If :=KGQ3V~eK count=count+1 t5[JN:an Wend `>HthK >?\ !k
c 'Set new z-shift ku8Z;ONeH op.Type = "ShiftZ"
6}ewBAq% op.val1 = tlens 60gn`s,, op.parent = parID R}YryzV5 AddOperation eID, op zL=I-f Vq Print "Set lens thickness = " & tlens Jrrk$0H^~ *^m.V= '************************************************************************* -CNv=vj 3 'Lens index of refraction Hqy>!1! '************************************************************************* &~6O;}\ eID = FindMaterial( "Lens" ) l`G:@}P>G GetModelMaterial eID, mat Y2~{q Y z^a?t<+ mat.Nd = nlens tg4&j$ SetModelMaterial eID, mat E<_6OCz Print "Set lens index of refraction = " & nlens O[J+dWyp ~w%+y '************************************************************************* !,WRXE&j 'Pupil diameter X=}0+W '************************************************************************* 2{qG eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ]nGA1 S{ Q^;\!$:M 'Adjust pupil diameter (trimming volume inner hole) f\_Q+!^ U/lra&P SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" "K=)J'/n `t"Kq+ ' Adjust pupil location to just in front of the lens %&S]cEw parID = FindFullName( "Geometry.Arizona Eye" ) l"g%vS,;` eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) $G.|5sEk count = 0 9%veUvY While GetOperationCount(eID)>count alD|-{Bf GetOperation eID, count, op =?x=CEW If op.Type="ShiftZ" Then PhdL@Mr DeleteOperation eID,count @Kb~!y@G count=count-1 En%o7^W++ End If k18V4ATE] count=count+1 qWK7K%-$E Wend vCr$miZ op.Type = "ShiftZ" )^xmy6k op.val1 = taq-0.01 5Wjp_^!e
op.parent = parID &~i
&~AJ AddOperation eID, op <\
c8q3N LB0=V0| Print "Set pupil diameter = " & pupilDiam p
=O1aM {[iQRYD0| 'Update AZ Eye subassembly Description !7|9r$ eID = FindFullName( "Geometry.Arizona Eye" ) b8Sl3F?-~ GetEntity eID, entity Sv",E@!f entity.Description = "Accommodation = " & A & "D" uQ)]g SetEntity eID, entity LZ$!=vg4 8`<GplO Update =,9'O/br Print "DONE!" 3mpjSL $l0w {m!P End Sub 2sq<"TlQXI breVTY7 S 如果屈光度是4,光瞳直径是4,则会输出如下数据: 6f1Y:qK'@ cViCWc2 Accommodation = 4 Diopters WVFy Zp B Pupil Diameter = 4 mm ax }Xsk_ Set aqueous humor thickness = 2.81 g_=ZcGC Set anterior lens radius = 10.4 and conic constant = -2.375869 6FAP *V; Set posterior lens radius = -4.424557 and conic constant = -3.081019 1EB`6_>y Set lens thickness = 3.927 [Y+bW#' Set lens index of refraction = 1.42672 `UPmr50Wq Set pupil diameter = 4 HX^
P9jXT DONE! YzVLa,[
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