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简介 lJ/6-dP ?iSGH'[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。 r#h {$iW t{(Mf2GR1
模型 b :\D\X }""p)Y& 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 OhWC}s w!,QxrOV~ Table 1. AZ眼睛模型的定义 CyTFb$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. 7>je6*(K i.@*tIK 光源 h%b hrkD gRvJ.Q {h 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。 z[#6-T
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U1\MA6pXW h;Mu[` 图1. 光源和提示信息使用 oI$V|D3 9 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 EVz9WY Y?!/>q 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 -uR{X G. D u8uW9 < 图2. 字母F光源的设定方法光 Ru7L>(Njs i7v/A&Rc 图3. 字母F在视网膜上位置点列图 nZW4} ~0j 视网膜的散射 &q>h*w4O gHH&IzHF 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 XARSGAuw iPFL"v<#J +FBi5h 图4. 视网膜朗伯散射设定 59MR|Jt 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 ( -2R{!A KZ\dB;W<| 5`yPT>*#m> 图5. 视网膜重点采样规格设定 7K !GK 脚本 bw;iz,Z BD4"pcr 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: onh?/3l -d_ 7*>m$ 图6. 用户对话框的创建与编辑 2VMX:&3 5J 图7. 用户对话框编辑器 8l?w=)Qy 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。 Nh :JU?h 余下的脚本计算与屈光度有关的所有参数。 +9~ZA3DiP 0~.)GG%R>D 分析 uXP-
J]> Xa*?<(^` 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 bXm:]? ]TfeBX6ST 图7. 字母F在视网膜上颜色分析 g1dmkX 脚本代码 xO gq-@` v['AB4 Option Explicit 'Remove this to enable non-dimensioned variables to be used. ?:JdRnH \ XWf7"]%SX Dim entity As T_ENTITY 0O^r.&{j> Dim op As T_OPERATION !xJFr6G~8 Dim mat As T_MODELMATERIAL [BE:+ ID3 Dim A As Double ndB@J*Imu Dim pupilDiam As Double Lqq*Nr Dim eID As Long -YAO3 Dim parID As Long %N1T{ Dim count As Integer l]/> `62 Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double W=M<
c@ Dim tlens As Double, nlens As Double i63?" Dim curv As Double, conic As Double IwnYJp:9v Dim ok As Long &LwJ'h+nd f0g6g!&gf Sub Main =^"~$[z( 'H
FwP\HX '用户输入对话框 h#;?9DP Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 >Ziy1Dp TextBox 220,21,40,21,.TextBox1 'default: 0 )*+u\x_Hx Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 =cknE= OKButton 40,91,90,21 mnQal>0~ CancelButton 190,91,90,21 ?<g|.HY/ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 '|J) ds TextBox 220,49,40,21,.TextBox2 'default: 4 7kOE/>P? End Dialog #Xj;f^}/ Dim dlg As UserDialog y K=S!7p\ J~fuW?a]r ok = Dialog (dlg) EOofa6f&l 9k*^\@\\x If ok=0 Then 'cancel button was pressed :R{x]sv Print "Execution cancelled." es{cn=\s End 55(J&q End If ]kzv8# 54;l*}8Hl 'Assign accommodation and pupil diameter & use defaults if field left empty VoWA tNU If dlg.TextBox1 = "" Then *c!;^Qy p& A = 0 'Default accommodation 4;",@} Else ZKZl>dDuh A = CDbl(dlg.TextBox1) ;sm"\.jF End If b"`ru~] 5+J64_ If dlg.TextBox2 = "" Then t@l(xns V pupilDiam = 4 'Default pupil diameter Cca~Cq[%*( Else Ax :3} pupilDiam = CDbl(dlg.TextBox2) 5~v(AB(x End If rDK;6H:u{ Ompi~ Print " " (9Fabo\SH Print "Accommodation = " & A & " Diopters" L?AM&w-cg9 Print "Pupil Diameter = " & pupilDiam & " mm" aslU`#" \Ac}R' ' Calculate new parameters with accommodation Fc34Y0_A taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness LuQ"E4;nY% 0\8*S3,q Rant = 12.0 - 0.4*A 'Radius of anterior lens uEc0/a :. CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens /8 e2dw:
\ 6~:W(E} Rpost = -5.224557 + 0.2*A 'Radius of posterior lens V=G b>_d CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens fho=<|- V[BY/<z)A tlens = 3.767 + 0.04*A 'Lens thickness !C9ps]6 hr)+Pk nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction z }FiU[Hs CwTS /G 'Adjust parameters to account for accommodation qAS70XjOF M63s(f '************************************************************************* ]
P:NnKgK 'Aqueous thickness (Position of Lens) 8MYLXW6 '************************************************************************* ^&f{beU9 eID = FindFullName( "Geometry.Arizona Eye.Lens" ) P5yJO97 GetCustomElement eID, entity f}Ne8]U/Hc BLl%D parID = FindFullName( "Geometry.Arizona Eye" ) c,3'wnui Tx|SAa=V ' Delete any shift(s) in z ]%cHm4#m3 count = 0 Fi?U)T+%+ While GetOperationCount(eID)>count sw 3:HNG= GetOperation eID, count, op M~d+HE If op.Type="ShiftZ" Then A{DIp+ DeleteOperation eID,count Z`SWZ< count=count-1 Fy4< End If t z
+ count=count+1 w /Bn2bD Wend 2|T|K?R^ $ uz1 'Set new shift in )V9Mcr*Ce6 op.Type = "ShiftZ" :Ul'(@ op.val1 = taq >q}
!>k$B op.parent = parID !4qps$p{ AddOperation eID, op s/W!6JX4 Print "Set aqueous humor thickness = " & taq-0.55 !%Z)eO~Z rE
bx%u7Q '************************************************************************* onWYT} c{ 'Radius and conic constant of anterior lens LP0;n\ '************************************************************************* M[`w{A eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 6\)8mK GetConic eID, entity, curv, conic lzr>WbM{{p BM=V,BZy SetConic eID, entity, 1/Rant, CCant )$9C` d[ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant U 3wsWSO X1
0"G~0 '************************************************************************* HiS,q0 'Radius and conic constant of posterior lens 8a":[Q[ '************************************************************************* : e0R7sj eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Yq)YS] GetConic eID, entity, curv, conic `/gEKrhL- O>b&-U"R SetConic eID, entity, 1/Rpost, CCpost ?}1JL6mF{ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost YP
.%CD(K W=;(t '************************************************************************* mhJOR'2 'Lens thickness (Position of posterior lens surface) "I}'C^gP '************************************************************************* =@ L5
yv8dfl parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Qn'r+X5t FgHB1x4; ' Delete any z-shift(s) x jP" 'yU count = 0 9`gGsC While GetOperationCount(eID)>count 0%&fUz36E6 GetOperation eID, count, op %xbz&'W, If op.Type="ShiftZ" Then S7#^u`'Q_^ DeleteOperation eID,count 63y':g count=count-1 a dz;N;rIY End If ?O.6 r" count=count+1 A
Eyr_!G, Wend nkCRe ,<
)/45 'Set new z-shift YiI:uG!|D op.Type = "ShiftZ" [pC-{~ op.val1 = tlens (8m\#[T+R op.parent = parID jQK2<-HZ3 AddOperation eID, op aP6%OI Print "Set lens thickness = " & tlens *C:q _/ d]O_E4X* '************************************************************************* QvG56:M3 'Lens index of refraction 3bbp>7V! '************************************************************************* NCowt|#t eID = FindMaterial( "Lens" ) 3W7;f! GetModelMaterial eID, mat Kcscz, 18DTv6?QG mat.Nd = nlens ~_DF06G SetModelMaterial eID, mat 1A7 %0/K-] Print "Set lens index of refraction = " & nlens G$?|S@I, 0[n c7)sW '************************************************************************* ^%\)Xi 'Pupil diameter Xt</ -` '************************************************************************* <^,o$b eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) U}tl_5%) pP|,7c5 'Adjust pupil diameter (trimming volume inner hole) kZV^F*7 Ys"|</;dbj SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" A[u)wX^`f^ 1% $d D2 ' Adjust pupil location to just in front of the lens Zu\p;!e parID = FindFullName( "Geometry.Arizona Eye" ) ksB eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ]]el| count = 0 1a7!4)\ While GetOperationCount(eID)>count mgi,b2 GetOperation eID, count, op iBG`43; If op.Type="ShiftZ" Then 5h_<R!jA DeleteOperation eID,count <lC]>L count=count-1 "KMLk End If 6eOrs-ty count=count+1 cU7rq j_ Wend Hze-Ob8 op.Type = "ShiftZ" Z} c'Bm( op.val1 = taq-0.01 2{Wo-B,wt~ op.parent = parID `d75@0: AddOperation eID, op 285_|!.Y +O)]^"TG Print "Set pupil diameter = " & pupilDiam @@'nit T#\p%w9d 'Update AZ Eye subassembly Description oS~}TR:} eID = FindFullName( "Geometry.Arizona Eye" ) ao)Ck3] GetEntity eID, entity +p13xc?#j entity.Description = "Accommodation = " & A & "D" M6J/mOVx5 SetEntity eID, entity ;KZrl` 'dkXYtKCB Update q.-y)C) ; Print "DONE!" A:kkCG!~Nf G7
1U 7 End Sub }ppVR$7]0 *i`v~> 如果屈光度是4,光瞳直径是4,则会输出如下数据:
RXBb:f b& V`<'{ Accommodation = 4 Diopters 3AK(dC[ri Pupil Diameter = 4 mm c\M#5+ 1j Set aqueous humor thickness = 2.81 ,
Hn7(^t Set anterior lens radius = 10.4 and conic constant = -2.375869 6MuWlCKF8 Set posterior lens radius = -4.424557 and conic constant = -3.081019 3=Z<wD s Set lens thickness = 3.927 Yy]T
J Set lens index of refraction = 1.42672 \@i=)dA Set pupil diameter = 4 x;Gz6| DONE! "LOnDa7E^ 4RhR[ t)ld<9)eB QQ:2987619807 7U,k 2LS
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