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简介 }.O2xZ;}]' 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。 !L+*.k: 6';'pHqe 模型 Pm6/sO <1VzQH!o 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。 T&I*8 R~ 4,T!zT6& Table 1. AZ眼睛模型的定义 veg\A+:' 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. Jeyy Z= %8tlJQvu 光源 `(<XdlOj [J0L7p*6 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。 LZV L{;q ^ ]FvN*@lG 图1. 光源和提示信息使用 Sb+pB58&N 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。 W\o(f W NA>h$N 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。 $$2\qN - IM}T2\tZ} 图2. 字母F光源的设定方法光 Q2iS0# b40zYH`'{ 图3. 字母F在视网膜上位置点列图 a1]k(AuQrC 视网膜的散射 B5aFt ;Vj ^wCjMi(sj 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。 l2U"4d!o "d>{hP &aldnJ 图4. 视网膜朗伯散射设定 gR"'|c 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。 &!vJ3: Zh]d&Xeq 0#KDvCBJ 图5. 视网膜重点采样规格设定 G eN('0 脚本 |S|0'C* eyy{z;D8r 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: 1+v&SU 4:=']C 图6. 用户对话框的创建与编辑 o-Pa3L= 图7. 用户对话框编辑器 9%j_"+<c 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。 i)g=Lew 余下的脚本计算与屈光度有关的所有参数。 >_(Xb%w b"t95qlL 分析 r4k=i4 mS5'q q;t 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 \:]Clvc _>%P};G{> 图7. 字母F在视网膜上颜色分析 _?kjIF 脚本代码 rlmzbIuI9 d76k1-m\o Option Explicit 'Remove this to enable non-dimensioned variables to be used. k{(R.gLZG b26#0;i Dim entity As T_ENTITY )4>M<BO Dim op As T_OPERATION (wU<Kpt?J Dim mat As T_MODELMATERIAL sx IvL7jl Dim A As Double RiqYC3Ka Dim pupilDiam As Double :#1{c^i%3 Dim eID As Long %bgjJ` Dim parID As Long m.e+S,i Dim count As Integer a7s+l= Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double x7)j?2 Dim tlens As Double, nlens As Double 'd 4I/ Dim curv As Double, conic As Double htX;"R& Dim ok As Long 6z=h0,Y} qPGpN0M` Sub Main ggtGecKm @^]wT_r '用户输入对话框 VTQ V]>| Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 {I0b%>r= TextBox 220,21,40,21,.TextBox1 'default: 0 8+K=3=05#U Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ~sT/t1Rp OKButton 40,91,90,21 Jn3cU CancelButton 190,91,90,21 'NHtCs=F Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 g"aWt%
P TextBox 220,49,40,21,.TextBox2 'default: 4 <qjNX-| End Dialog jA_wOR7$ Dim dlg As UserDialog JoeU J3N ? 3
{&" ok = Dialog (dlg) s\i:;`l:=5 "}
=RPc%9 If ok=0 Then 'cancel button was pressed "&;8U. Print "Execution cancelled." I,;@\ End )@+lfIE(l End If 4.il4Qqy}i "~- H]9 'Assign accommodation and pupil diameter & use defaults if field left empty ?}|l ) If dlg.TextBox1 = "" Then h!.#r*vV A = 0 'Default accommodation kHLpa/A Else ,p2BB"^_i A = CDbl(dlg.TextBox1) !lxs1!: End If 8axz`2 ` -(*<2Hy4 If dlg.TextBox2 = "" Then o zg%- pupilDiam = 4 'Default pupil diameter 0kC}qru' Else Mx?]7tI pupilDiam = CDbl(dlg.TextBox2) xS.Rpx/8 End If l{q$[/J~) dQP7CP Print " " %B9iby8)1 Print "Accommodation = " & A & " Diopters" :sO^b*e / Print "Pupil Diameter = " & pupilDiam & " mm" }xhat,9 Ip c2Qsa ' Calculate new parameters with accommodation E.~; taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 0zH^yx:ma Xc)V;1 Rant = 12.0 - 0.4*A 'Radius of anterior lens w&&uk[Gh/a CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens w1Ar[
P x1H?e8 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens CbPCj.MH CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens ]MI>"hn WKVoqp} tlens = 3.767 + 0.04*A 'Lens thickness jvfVB'Tmr ?naPti1GX nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction Mou@G3 Q
I!c= :u 'Adjust parameters to account for accommodation -^A=U7 Y)D~@|D, '************************************************************************* F\pw0^K;N 'Aqueous thickness (Position of Lens) }mGOEG|F2 '************************************************************************* 9{OH%bF eID = FindFullName( "Geometry.Arizona Eye.Lens" ) r]! <iw GetCustomElement eID, entity O[nl#$w ;=rM Ii parID = FindFullName( "Geometry.Arizona Eye" ) mX@Un9k oECM1'=Bf ' Delete any shift(s) in z e[`E-br^ count = 0 <9za!.(zu While GetOperationCount(eID)>count ]J=S\ GetOperation eID, count, op M :m-i X If op.Type="ShiftZ" Then $`nKq4Y DeleteOperation eID,count sOyWsXd+R' count=count-1 8 I'1~d%$ End If |.bp count=count+1 d<*4)MRN Wend .3;bUJ1 GPqF> 'Set new shift in R=D\VIu,Z op.Type = "ShiftZ" 3J\NkaSR op.val1 = taq ]mU,y$IQ op.parent = parID >.R6\>N% AddOperation eID, op xx}R6VKU. Print "Set aqueous humor thickness = " & taq-0.55 id^U%4J Y`FGD25` '*************************************************************************
Q@3.0Hf|{ 'Radius and conic constant of anterior lens K;2]c3T '************************************************************************* pv;c<NQ'1 eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Q37VhScs GetConic eID, entity, curv, conic >40B
Fxc lYd#pNN SetConic eID, entity, 1/Rant, CCant \!UNale Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant $s2-O!P? (xU+Y1*g"% '************************************************************************* 7R\!'`]\M 'Radius and conic constant of posterior lens Xco$
yF% '************************************************************************* uCK!lq- eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ujcS>XN,1 GetConic eID, entity, curv, conic 5H6GZ:hp `R@24 ) SetConic eID, entity, 1/Rpost, CCpost +n(H"I7cU Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost ;WIL?[;w bw*@0; '************************************************************************* D#%J|| 'Lens thickness (Position of posterior lens surface) A!v-[AI[ '************************************************************************* < %Qw
dEO `
n{rzenPX parID = FindFullName( "Geometry.Arizona Eye.Lens" ) wAHb5>! V mQ7M4j* ' Delete any z-shift(s) *8p\.za1 count = 0 PF .sM( While GetOperationCount(eID)>count u)P$xkf GetOperation eID, count, op :C42yQAP If op.Type="ShiftZ" Then [BhpfZNKRA DeleteOperation eID,count
Y6A]dk count=count-1 @"9y\1u End If Fm}O,= count=count+1 ^&uWAQohL Wend o,) p *glO ZLvw]N&R 'Set new z-shift +Z XGT op.Type = "ShiftZ" 6\86E$f=h op.val1 = tlens 6,G^iv6H op.parent = parID ,Ucb)8a AddOperation eID, op "!)8bTW Print "Set lens thickness = " & tlens eEsEW<su HkvCQ H '************************************************************************* :kZ2N67 'Lens index of refraction V`69%35*@ '************************************************************************* Ao96[2U6 eID = FindMaterial( "Lens" ) 6@2p@eYo GetModelMaterial eID, mat ]CC=
\ < :yT~.AK}>1 mat.Nd = nlens u\qyh9s SetModelMaterial eID, mat S=aXmz< Print "Set lens index of refraction = " & nlens {yyg=AMz =mqV&FgRo '************************************************************************* Lu:!vTRmw 'Pupil diameter Cw{#(xX '************************************************************************* 54F([w eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 4BEVG&Ks
@YwaOc_% 'Adjust pupil diameter (trimming volume inner hole) lRt8{GFy qUtVqS SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 6lT'%ho}B dc&Qi_W ' Adjust pupil location to just in front of the lens `ss]\46> parID = FindFullName( "Geometry.Arizona Eye" ) 6%S>~L66 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) LR)is
count = 0 y6*i/3 While GetOperationCount(eID)>count 66L*6O4 GetOperation eID, count, op {bETHPCf If op.Type="ShiftZ" Then q/OraPAB DeleteOperation eID,count r~s03g0 count=count-1 3C,e>zE} End If OD1ns count=count+1 1}jE?{V* Wend ^|sxbP op.Type = "ShiftZ" dN*<dz+4r op.val1 = taq-0.01 2:DpnLU5 op.parent = parID M2xUs AddOperation eID, op T[Gz E"G._<3J8 Print "Set pupil diameter = " & pupilDiam {iQ<`,)Y _)Qt,$ 'Update AZ Eye subassembly Description 0>e>G (4(8 eID = FindFullName( "Geometry.Arizona Eye" ) %!.rP GetEntity eID, entity VGvOwd)E entity.Description = "Accommodation = " & A & "D" S?3{G@!
SetEntity eID, entity a|s= d |u}sX5/q Update =kc{ Q@Dk Print "DONE!" Gc 8 y mE`V End Sub rLKDeB e1/|PgT(KM 如果屈光度是4,光瞳直径是4,则会输出如下数据: wUV%NZB &0C!P=-p Accommodation = 4 Diopters / 9;Pbxn Pupil Diameter = 4 mm {W4t]Ff Set aqueous humor thickness = 2.81 7I44BC*R~ Set anterior lens radius = 10.4 and conic constant = -2.375869 YJL=|v Set posterior lens radius = -4.424557 and conic constant = -3.081019 l|up3A3) Set lens thickness = 3.927 pF !vW Set lens index of refraction = 1.42672 aEM#V Set pupil diameter = 4 cXCczqabv DONE! RI*%\~6t? ut,"[+J (文章来源:讯技光电)
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