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简介 L9O;K$[s 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 Hrpz4E%\Aw YIwa = ^ 模型 Bc.de&Bxz_ (=uT*Cb 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 P!Fykg S[ !6Lw Table 1. AZ眼睛模型的定义 b5H}0< 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. ?:3hp2k< }0pp"[JU 光源 4_5f4%S M>Q ZN 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 +Kb 7N, " !O%!A<3 +# 'w}
P 图1. 光源和提示信息使用 ["f6Ern 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 W]/J]O6 o3`U;@ &u 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 r<fcZ)jt| ;>mM9^Jaf 图2. 字母F光源的设定方法光 =s":Mx,o
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aWs~ 图3. 字母F在视网膜上位置点列图 :0:Tl/)) 视网膜的散射 ,2$<Pt; 'UhHcMh: 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。 QNOdt 2NN .x%w# i*/i"W< 图4. 视网膜朗伯散射设定 KGM__Z O. 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。 0zNbux_ 2|^@=.4\ :.ZWYze 图5. 视网膜重点采样规格设定 u ,3B[ 脚本 OM0r*<D"! Lq5xp< 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: hUi@T}aA| "6\5eFN; 图6. 用户对话框的创建与编辑 :wS&3:h 图7. 用户对话框编辑器 $,@}%NlHc 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 "W"^0To 余下的脚本计算与屈光度有关的所有参数。 UgAp9$=z E;CM"Y* 分析 uQ-GJI^t "jyo'r 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ]TT >3"Dw7 't`h?VvL 图7. 字母F在视网膜上颜色分析 y@7fR9hp< 脚本代码 q |&8XmexLb Option Explicit 'Remove this to enable non-dimensioned variables to be used. zEFS\nP}E nQmHYOF% Dim entity As T_ENTITY #4mRMsW5" Dim op As T_OPERATION ?)-6~p 4N Dim mat As T_MODELMATERIAL
]S4"JcM Dim A As Double 3[u-
LYW Dim pupilDiam As Double **%&|9He Dim eID As Long .4\I?
Dim parID As Long b_RO%L:"yL Dim count As Integer BS fmS(. Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double FzX ;~CA Dim tlens As Double, nlens As Double IOZw[9](+ Dim curv As Double, conic As Double 1<'z)r4 Dim ok As Long GP c
B( 7JBs7LG Sub Main J[:#(c&c!1 XiTi3vCe '用户输入对话框 zN!W_2W* Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 Hi={(Z5tC4 TextBox 220,21,40,21,.TextBox1 'default: 0 LHA^uuBN} Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 T;(,9>Qsu OKButton 40,91,90,21 B1_9l3RM CancelButton 190,91,90,21 x
t-s"A Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 `15}jTi TextBox 220,49,40,21,.TextBox2 'default: 4 HNS^:XR End Dialog [T_[QU:A Dim dlg As UserDialog }d}gb`Du qI9j=4s. ok = Dialog (dlg) G,!j P2S >u>
E !5O If ok=0 Then 'cancel button was pressed dPu27 " Print "Execution cancelled." ,nYa+e End xcw:H&\w6 End If uuEvH<1 CmBPCjh 'Assign accommodation and pupil diameter & use defaults if field left empty VYb,Hmm>kC If dlg.TextBox1 = "" Then @`KbzN_h/ A = 0 'Default accommodation ^5]9B<i[Y Else ivgX o'= A = CDbl(dlg.TextBox1) 'S6zk wC] End If n)X%&_ Pr}
l
y If dlg.TextBox2 = "" Then >P
j#?j*Y pupilDiam = 4 'Default pupil diameter 1R8tR#l Else $V3If pupilDiam = CDbl(dlg.TextBox2) A x8 > End If 0J'^<GTL |.Vgk8oTl Print " " OE(y$+L3_I Print "Accommodation = " & A & " Diopters" @@\qso Print "Pupil Diameter = " & pupilDiam & " mm" }Q: CZ aQ(P#n>a2 ' Calculate new parameters with accommodation Se!w(Y& taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness m#BXxS#B<_ ,|RKM Rant = 12.0 - 0.4*A 'Radius of anterior lens #WG}"[ ,c CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens _qPKdGoM @lDnD%vZ` Rpost = -5.224557 + 0.2*A 'Radius of posterior lens |Jx:#OM CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens S Yi !% 0"e["q{| tlens = 3.767 + 0.04*A 'Lens thickness MMrN#&r k^d]E F nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction VvIUAn %TI3Eb 'Adjust parameters to account for accommodation 'yH ?cWwt~N9 '************************************************************************* mxCneX 'Aqueous thickness (Position of Lens) ^E/6vG '************************************************************************* SVVE b6& eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 8OOAPp$%| GetCustomElement eID, entity 6P@K]jy& n A\S=>[ar- parID = FindFullName( "Geometry.Arizona Eye" ) VM5'd U0-RG ' Delete any shift(s) in z 4PD5i count = 0 <[ dt2)%L> While GetOperationCount(eID)>count '['%b GetOperation eID, count, op ih)\P0wed If op.Type="ShiftZ" Then =,it`8; DeleteOperation eID,count c86?-u') count=count-1 }0<2n~3P End If a=ZVKb count=count+1 O6$,J12l Wend .7
j#F 7)D[ }UXz 'Set new shift in RU/WI<O op.Type = "ShiftZ" O D5qPovsd op.val1 = taq T0fm6
J op.parent = parID 5xKod0bA AddOperation eID, op ^vh!1"T Print "Set aqueous humor thickness = " & taq-0.55 xr.;B`T0\' 9E5*%Hu_ '************************************************************************* [}Xw/@Uc; 'Radius and conic constant of anterior lens [H!do$[> '************************************************************************* "PTEt{qn eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 7~"eT9WV GetConic eID, entity, curv, conic &to~#.qc GNHXtu6 SetConic eID, entity, 1/Rant, CCant V&j]*) Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant a'HHUii= IN6L2/Q '************************************************************************* 0ie)$fi 'Radius and conic constant of posterior lens p) ;[;S '************************************************************************* HqqMX`Rof eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ;K l'[~z GetConic eID, entity, curv, conic w$s6NBF7 ]7,0> SetConic eID, entity, 1/Rpost, CCpost )RFY2} Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost Ot=nKdP}D {7X9P<<L7 '************************************************************************* ci?\W6 'Lens thickness (Position of posterior lens surface) u-.5rH l '************************************************************************* ORX<ZOt1 ?gAwMP(> parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Iw] ylp D)4#AI ' Delete any z-shift(s) /w6'tut count = 0 d+h~4'ebv While GetOperationCount(eID)>count
m5J@kE% GetOperation eID, count, op qMVuBv
If op.Type="ShiftZ" Then 3&[ d.,/ DeleteOperation eID,count 0ZD)(ps| count=count-1 3^H-,b0^ End If 9.
FXbNYg count=count+1 Ao\ OU} Wend ~_CZ1 j/wQ2"@a 'Set new z-shift ou)0tX3j op.Type = "ShiftZ" FS)C<T]t op.val1 = tlens C.u)2[( op.parent = parID UaXIrBc AddOperation eID, op asvM/ 9 Print "Set lens thickness = " & tlens l:~ >P[ dZkKAK:v '************************************************************************* d@ZXCiA}, 'Lens index of refraction hE\gXb '************************************************************************* 'g<FL`iP eID = FindMaterial( "Lens" ) ;l `(1Q/ GetModelMaterial eID, mat Y2uy@j*N jX$U)O mat.Nd = nlens "_rpErm
} SetModelMaterial eID, mat 6m(+X
MS Print "Set lens index of refraction = " & nlens {^:i}4ZRl +:C.G[+ '************************************************************************* W+V & |