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简介 1<$z-y' a@s@E 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。 u3])_oj= "|6763.{4 模型 (^9dp[2 `R@b`3*%v 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。 D!5{CQl F_z1ey`t Table 1. AZ眼睛模型的定义 ,!Q^"aOT: 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. L1u(\zw b1Fd]4H3P 光源 o~tL;(sz v|@1W Uc,g 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。 #-9@*FFL, 0.lOSAq
%mr6p}E| 图1. 光源和提示信息使用 .V.ga2+ 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。 CaqqH`/E4 i27KuPjC 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。 LR Dj!{k{ {~{</ g/ 图2. 字母F光源的设定方法光 rLx'.: "
'TEBkj|u 图3. 字母F在视网膜上位置点列图 .g52p+Z# 视网膜的散射 cd:VFjT XO,gEn&6V 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。 }Sv\$h y vo4 .u vuO~^N]G 图4. 视网膜朗伯散射设定 ,*j@Zb_r 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。 E)]RQ~jY? f\h|Z*Bv
At)\$GJ 图5. 视网膜重点采样规格设定 Kl]LnN%A{ 脚本 m 7/b.B} J8#3?Lp 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: J*m~fZ^ Zt"3g6S 图6. 用户对话框的创建与编辑 4">C0m;ks 图7. 用户对话框编辑器 #5=!ew 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。 dO|n[/qL0 余下的脚本计算与屈光度有关的所有参数。 W}rL HAaDh 'q, L* 分析 /`VrV{\/! c'&\[b(m 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 H-5h-p k {<L|Z=&k` 图7. 字母F在视网膜上颜色分析 Hwiftx 脚本代码 h7cE"m Tv /?-`Y Option Explicit 'Remove this to enable non-dimensioned variables to be used. @D7/u88| DE!P[$J Dim entity As T_ENTITY -PLh| Dim op As T_OPERATION j5V{,lf Dim mat As T_MODELMATERIAL 1y7FvD~ v Dim A As Double TDZ p1zpXb Dim pupilDiam As Double {RHa1wc Dim eID As Long MKZq* Dim parID As Long :BpXi|n; Dim count As Integer 3"p'WZ> Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ( Qj;B) Dim tlens As Double, nlens As Double *rv7#!]. Dim curv As Double, conic As Double !X ={a{<,T Dim ok As Long !G~`5?CvE 7Kn}KO!Y8 Sub Main L#Rj~&U F@rx/3
[ '用户输入对话框 xa$4P [ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 S- JD}+9 TextBox 220,21,40,21,.TextBox1 'default: 0 W~d^ *LZt Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 Tjj-8cg OKButton 40,91,90,21 zp:EssO=Q CancelButton 190,91,90,21 $3yn-'o'A Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 (%SKTM TextBox 220,49,40,21,.TextBox2 'default: 4 X^7n/|%*. End Dialog :[!b";pR Dim dlg As UserDialog ` 3h,Cy^ `tH:oP0= ok = Dialog (dlg) ,^@z;xF z\c$$+t If ok=0 Then 'cancel button was pressed m)e~HP7M Print "Execution cancelled." uQO\vRh0 End CC|=$(PgT End If Ob@HzXH UIK4]cYC' 'Assign accommodation and pupil diameter & use defaults if field left empty ~w"e 2a If dlg.TextBox1 = "" Then wrAcVR A = 0 'Default accommodation RKD$'UWX Else e1Bqd+ A = CDbl(dlg.TextBox1) JGQ)/( End If %z"n}|%! 2|$G<f If dlg.TextBox2 = "" Then \vF*n Z5/ pupilDiam = 4 'Default pupil diameter ~%QI#s?| Else !;M5.Y1j&" pupilDiam = CDbl(dlg.TextBox2) Eu`K2_b End If O[15xH, v{oHC4 Print " " H/$oGhvl Print "Accommodation = " & A & " Diopters" I;+>@Cn(g< Print "Pupil Diameter = " & pupilDiam & " mm" |DLmMsS4 ^EcwY- Qr ' Calculate new parameters with accommodation tLzKM+Ct# taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness Dn@Sjsj> J8?V1Ad{ Rant = 12.0 - 0.4*A 'Radius of anterior lens npMPjknl CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens F~wqt7* *nlDN4Y[ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens } T&~DVM CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 2!?=I'uMA Y;#H0v>E tlens = 3.767 + 0.04*A 'Lens thickness _ pO1XM wkKSL nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction A?"/ >LM O7z5,- 'Adjust parameters to account for accommodation g<^-[w4/ y;=/S?L.: '************************************************************************* T0"q,lrdxV 'Aqueous thickness (Position of Lens) gp NAM" '************************************************************************* ].
0;;v6) eID = FindFullName( "Geometry.Arizona Eye.Lens" ) :ioD*k GetCustomElement eID, entity O:jaA3 epG!V#I parID = FindFullName( "Geometry.Arizona Eye" ) d /lV+yZ >;+q,U} ' Delete any shift(s) in z S3gd'Bahq count = 0 PE<(eIr While GetOperationCount(eID)>count `c? 8i GetOperation eID, count, op X1o=rT If op.Type="ShiftZ" Then =O>E>Q DeleteOperation eID,count Ti$_V_ count=count-1 nTCwLnX(O End If kerBy\^ count=count+1 f[-$##S.~ Wend Ue(\-b\) \CrWKBL 'Set new shift in :I8HRkp op.Type = "ShiftZ" c|Fu6LF a op.val1 = taq M`H@
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op.parent = parID K(rWM>Jv AddOperation eID, op |nmt /[ Print "Set aqueous humor thickness = " & taq-0.55 $fG~;`T a]@BS6 '************************************************************************* tf6 Zz[ 'Radius and conic constant of anterior lens g[(Eh?]Sc '************************************************************************* A$-\Er+f eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) s^HI%mdf GetConic eID, entity, curv, conic qqSFy>`P DhN<e7c` SetConic eID, entity, 1/Rant, CCant j> dL:V&` Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant t>h:s3c qkBCI,X_Y '************************************************************************* w]O,xO 'Radius and conic constant of posterior lens R})b%y`] '************************************************************************* i= jYl eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) G#j~8`3X GetConic eID, entity, curv, conic fT.MglJcb Z ty9O8g SetConic eID, entity, 1/Rpost, CCpost a([8r- zP Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost Zu|qN*N4 3|=L1Pw# '************************************************************************* |jb,sd[=S 'Lens thickness (Position of posterior lens surface) q,>4#J[2;s '************************************************************************* 8dwKJ3*. *+_+ZDU parID = FindFullName( "Geometry.Arizona Eye.Lens" ) h6 Cqc}P :H>0/^Mg0 ' Delete any z-shift(s) F~?|d0
count = 0 6mV^akapv While GetOperationCount(eID)>count id[caP=` GetOperation eID, count, op zoZ10?ojC If op.Type="ShiftZ" Then ei(S&u< DeleteOperation eID,count lPw`KW count=count-1 $8`" End If ^u> fW["[ count=count+1 2b&Fu\2Dmv Wend ;),vUu,k VM<$!Aaz 'Set new z-shift vr }-u op.Type = "ShiftZ" 1u~a*lO} op.val1 = tlens 8~AL+*hn op.parent = parID v(p<88.!m AddOperation eID, op QypUBf Print "Set lens thickness = " & tlens 2yV^'o) !vq|*8 '************************************************************************* wY3|5kbDj 'Lens index of refraction yiMqe^zy '************************************************************************* Hz j%G> eID = FindMaterial( "Lens" ) 395`Wkv GetModelMaterial eID, mat w%- S5# {xf00/ mat.Nd = nlens \|CuTb;0 SetModelMaterial eID, mat L| ;WE= Print "Set lens index of refraction = " & nlens N1hj[G[H" W0<2*7s '************************************************************************* +*wr=9> 'Pupil diameter Ho1 V)T> '************************************************************************* kAq#cLprG eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) -PTfsQk 6eb~Z6n&? 'Adjust pupil diameter (trimming volume inner hole) %e(DPX 5,?^SK|'x SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" O]KQ]zN b-Ru UfUn0 ' Adjust pupil location to just in front of the lens 1p8hn!V parID = FindFullName( "Geometry.Arizona Eye" ) d6)+d9?< |