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简介 4a 5n*6G! 3}+/\:q* 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。 a}
/Vu" Dxe|4"%^ 模型 9@j~1G%^ M&K@><6k,k 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。 \xdt|:8 :X!(^a;] Table 1. AZ眼睛模型的定义 WLpn,8qsY 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. dnx}c4P V?"^Ff3m! 光源 vW_A.iI"e ^Y&Cm.w 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。 0L1P'*LRU Y}Dp{ GWhZ Mj 图1. 光源和提示信息使用 pFK
|4u 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。 kgI Wgk% :b>|U"ux 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。 !69^kIi$ `~RV 图2. 字母F光源的设定方法光 {,
|"Rpd QA3l:D}u 图3. 字母F在视网膜上位置点列图 <Hp"ZCN 视网膜的散射 ^"Y'zIL 6?lg
6a/eO 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。 M;9+L&p= NWg\{a 7L]?)2= 图4. 视网膜朗伯散射设定 ^M9oTNk2 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。 ~
/[Cgh0 mx[^LaR>v So^`L s;S 图5. 视网膜重点采样规格设定 e.+)0)A- 脚本 @Otc$hj +,[3a%c)H 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: q+z\Y? ]~zJ7I 图6. 用户对话框的创建与编辑 g?VME]: 图7. 用户对话框编辑器 hq*JQb;Y} 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。
gh}AD1TN] 余下的脚本计算与屈光度有关的所有参数。 u
s0'7|{q 5:d2q<x:{ 分析 acZHb[w a7|&Tbv 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 9vTQ^*bm !VHIl&Mos 图7. 字母F在视网膜上颜色分析 ZX;k*OrW 脚本代码 55DzBV aX%Zuyny Option Explicit 'Remove this to enable non-dimensioned variables to be used. nnNg^<[k3 w'0M>2 Dim entity As T_ENTITY UT~2}B9fc Dim op As T_OPERATION ;5k|gW Dim mat As T_MODELMATERIAL (3h*sd5ly Dim A As Double ?GarD3#A Dim pupilDiam As Double gk1S"H Dim eID As Long `Cf
en8 Dim parID As Long 5)7mjyo% Dim count As Integer =)YYx8gR Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double N)*e^Nfb Dim tlens As Double, nlens As Double mv.I.EL Dim curv As Double, conic As Double I0vnd7 Dim ok As Long X@&uu0JJ 3x0wk9lND Sub Main FBAC9}V" &] 6T^. '用户输入对话框 O`jA-t Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 T:">,*| TextBox 220,21,40,21,.TextBox1 'default: 0 UMwMXmZNJ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 *UoHzaIqz OKButton 40,91,90,21 $-?5Q~ CancelButton 190,91,90,21 }.) 43(>] Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 xJLO\B+gM TextBox 220,49,40,21,.TextBox2 'default: 4 u^$Md WP End Dialog .GN$H>') Dim dlg As UserDialog 9:i,WJO 0r ;
nz]' ok = Dialog (dlg) B9Q.s &jZ|@K? If ok=0 Then 'cancel button was pressed k3[h'.ps Print "Execution cancelled." ]3,.g)U*m End 9*+0j2uhQ End If fsc~$^.~\ B;]5,`#! 'Assign accommodation and pupil diameter & use defaults if field left empty rY?F6'} If dlg.TextBox1 = "" Then NND=Zxl A = 0 'Default accommodation CPNN!%- Else :@`(}5F4 A = CDbl(dlg.TextBox1) >X,Ag End If KbdfSF$ nl9Cdi]o If dlg.TextBox2 = "" Then -f2`qltjb pupilDiam = 4 'Default pupil diameter *t M7> Else I/V )z9 pupilDiam = CDbl(dlg.TextBox2) XH:gQ 9FD End If _#D\*0J >_aio4j}r Print " " ,V]A63J Print "Accommodation = " & A & " Diopters" 7;}3{z Print "Pupil Diameter = " & pupilDiam & " mm" px}7If T[XP\!z]B! ' Calculate new parameters with accommodation #f3 ;}1( taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness oUvk2]H T
E&Q6 Rant = 12.0 - 0.4*A 'Radius of anterior lens tkN3BQ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens |] !o*7"4 y^QYlZO Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 4%fN\f CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens ]]=-AuV. (OyY_` tlens = 3.767 + 0.04*A 'Lens thickness +8)]m< HCx%_9xlm nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction {eswe rbK#a)7 'Adjust parameters to account for accommodation t&9as} V4eng " '************************************************************************* j[/SXF\= 'Aqueous thickness (Position of Lens) mfngbFa1 '************************************************************************* {Bq"$M!Y eID = FindFullName( "Geometry.Arizona Eye.Lens" ) F!)M<8jL&9 GetCustomElement eID, entity wyrI8UY xZP >g parID = FindFullName( "Geometry.Arizona Eye" ) <p^*Ydx YQ@dl ' Delete any shift(s) in z uZo`IK J count = 0 mS:j$$]u While GetOperationCount(eID)>count c8-69hb? GetOperation eID, count, op Im?= e If op.Type="ShiftZ" Then "y~muE:. DeleteOperation eID,count 5X `w&(]m count=count-1 ,qe]fo > End If Tr+h$M1_Ja count=count+1 I mPu} Wend 8|5Gv GX7 eRqz > 'Set new shift in c?.r"5# op.Type = "ShiftZ" aYaG]&hb
op.val1 = taq P /c
Q1 op.parent = parID \)^,PA3 AddOperation eID, op '&-5CpDUs Print "Set aqueous humor thickness = " & taq-0.55 Mhv1K|4s ]&C:> '************************************************************************* ~U"by_ 'Radius and conic constant of anterior lens ]27>a"p59Y '************************************************************************* k5aa>6K eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ?qg^WDs$ GetConic eID, entity, curv, conic 8h&oSOkQk, 3$?9uMl# SetConic eID, entity, 1/Rant, CCant mUrS&&fu8 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant `1fJ:b/M 7P/?wv9+n* '************************************************************************* 'v\1:zi 'Radius and conic constant of posterior lens I&TTr7 '************************************************************************* ,DQGv_ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) V[o7Jr~ GetConic eID, entity, curv, conic DKy>]Hca :DtZ8$I`]C SetConic eID, entity, 1/Rpost, CCpost Io$w|~x Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost V!T^wh; E-UB -"6 '************************************************************************* _M8G3QOx 'Lens thickness (Position of posterior lens surface) T}n N=Q4 '************************************************************************* (KT38RhA
K1?Z5X(b
parID = FindFullName( "Geometry.Arizona Eye.Lens" ) >Z#uFt0<Pm k$e D(cW$ ' Delete any z-shift(s) 9W{,=.%MX$ count = 0 %f3c7\=C While GetOperationCount(eID)>count w^06z, GetOperation eID, count, op :/o C:z\h If op.Type="ShiftZ" Then L;/9L[s, DeleteOperation eID,count J[e} count=count-1
xS=_yO9- End If O&`U5w count=count+1 k2EHco0BG Wend ,>D ja59 /xl4ohL$a 'Set new z-shift Err4
%- op.Type = "ShiftZ" 9@:BK;Fi op.val1 = tlens }1QI"M* op.parent = parID z-n>9 AddOperation eID, op Z5((1J9 Print "Set lens thickness = " & tlens rHvF%o M{C6rm| '************************************************************************* qBT_!
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'Lens index of refraction an3~'g? '************************************************************************* fv|]= e eID = FindMaterial( "Lens" ) T"n{WmVQ GetModelMaterial eID, mat nN>J*02( 1TKEm9j]u mat.Nd = nlens ^'m\D; SetModelMaterial eID, mat U
z"sdi Print "Set lens index of refraction = " & nlens d; 9*l!CF qs=Gj?GwGQ '************************************************************************* + c`AE 'Pupil diameter z)}3**3'y '************************************************************************* ,mB Z`X@N
eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) {}V$`L8 4w'lu"U 'Adjust pupil diameter (trimming volume inner hole) F "!agc2! YPu9Q SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ful#Px6m 2b5 #PcKa ' Adjust pupil location to just in front of the lens +}P%HH]E/p parID = FindFullName( "Geometry.Arizona Eye" ) J0=7'@(p eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) q(,cYu count = 0 djWcbC=g_ While GetOperationCount(eID)>count 1j11|~ GetOperation eID, count, op ^V[/(Lq If op.Type="ShiftZ" Then .Y;b)]@f DeleteOperation eID,count 1@xP(XS count=count-1 |+98h&U~ End If tv0Ha A count=count+1 ny)]GvxI Wend ',GV6kt_k op.Type = "ShiftZ" yf!,4SUkU op.val1 = taq-0.01 98GlhogWt op.parent = parID u#1%P5r&X AddOperation eID, op wzd`l?o, {;*}WPYb Print "Set pupil diameter = " & pupilDiam ]fZ<`w8u} k0L] R5W 'Update AZ Eye subassembly Description r088aUO
P eID = FindFullName( "Geometry.Arizona Eye" ) 'TL2%T/)t GetEntity eID, entity yMb|I~k entity.Description = "Accommodation = " & A & "D" ?OE#q$ g SetEntity eID, entity joqWh!kv7U K1OkZ6kl Update n#4Gv|{XMD Print "DONE!" b^x07lO @xS]!1- End Sub ND5$bq Nu? F?9SiX[\ 如果屈光度是4,光瞳直径是4,则会输出如下数据: `?"6l5d.] eJHp6)2 Accommodation = 4 Diopters ?n.)&ZIx0 Pupil Diameter = 4 mm >.e+S?o Set aqueous humor thickness = 2.81 6W&_2a7* Set anterior lens radius = 10.4 and conic constant = -2.375869 =s;M]: Set posterior lens radius = -4.424557 and conic constant = -3.081019 " !-Kd'V Set lens thickness = 3.927 ,X68xk.' Set lens index of refraction = 1.42672 OUI6
ax\[ Set pupil diameter = 4 iCP~O DONE! Ow@v"L;jF!
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