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简介 b"Jr_24t3v f/"IC;<~t> 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^ R|<x +`!>lo{X 模型 OF,_6"m cv. j 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。 $"va8, <YrsS-9 Table 1. AZ眼睛模型的定义 <v?2p{U% 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. #"C!-kS'= +W8kMuM! 光源 g+Y &rz +jO#?J 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 )~IOsTjI @~FJlG(n . HAFKB; 图1. 光源和提示信息使用 w=^~M[%w 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 Ml/K~H
tN <RcB: h 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 s+ ^1\ Ox@$ } 图2. 字母F光源的设定方法光 %vUUx+ tg<bVA)E'J 图3. 字母F在视网膜上位置点列图 ~*`wRiUhis 视网膜的散射 #TcX5 j$4lyDfD 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 IR32O,) cQ3p|a ` UG]x CkDS 图4. 视网膜朗伯散射设定 uE>m3Y(aP 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 j"+6aD/lv ry+|gCZ
IDdu2HNu 图5. 视网膜重点采样规格设定 F4:5 >*: 脚本 lB7/oa1]> 3@* ~>H 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: OaY]}4tI$ Z1p%6f` 图6. 用户对话框的创建与编辑 G0Z$p6z 图7. 用户对话框编辑器 ]qx!51S 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。 21] K7 余下的脚本计算与屈光度有关的所有参数。 3f:]*U+O [q^pMH#U" 分析 9l,8:%X_ cW?6Iao 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 oWggh3eXk sosIu 图7. 字母F在视网膜上颜色分析 p*JP='p 脚本代码 [=:4^S|M VeH%E.: Option Explicit 'Remove this to enable non-dimensioned variables to be used. AP9\]qZ(7
U^-RyE!} Dim entity As T_ENTITY )=5*iWe Dim op As T_OPERATION }IQ! [T5 Dim mat As T_MODELMATERIAL z_). - Dim A As Double iztgk/(+G Dim pupilDiam As Double )-1$y+s>
Dim eID As Long $U2Jq@G* Dim parID As Long [P]M)vJ** Dim count As Integer 5U*${ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 1+l[P9?R[ Dim tlens As Double, nlens As Double bHzZ4i Dim curv As Double, conic As Double hJX;/~L Dim ok As Long [TT:^F(Y |r4&@) Sub Main X*e:MRw[ 1Sv$!xX`n '用户输入对话框 N8!e(YK_ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 #Zn+-Ih TextBox 220,21,40,21,.TextBox1 'default: 0 F^!mgU X Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 p4K
8L'nZ OKButton 40,91,90,21 Iapzh y2l CancelButton 190,91,90,21 y;hco Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 (unJwh{7Q TextBox 220,49,40,21,.TextBox2 'default: 4 HBw0N? End Dialog j>~@vq Dim dlg As UserDialog NNRKYdp, PG'I7)Bv ok = Dialog (dlg) + Cq&~<B L)Da1<O If ok=0 Then 'cancel button was pressed u7-0? Print "Execution cancelled." UQtG<W]< End /!y3ZzL End If 1z3I^gI*i NE Z ]% 'Assign accommodation and pupil diameter & use defaults if field left empty ]O~/k~f If dlg.TextBox1 = "" Then 8)J,jh9q A = 0 'Default accommodation >~&7D`O Else p\xsW"=8q A = CDbl(dlg.TextBox1) >
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? End If *Oy%($' \BSPv]d If dlg.TextBox2 = "" Then dw7h@9\y pupilDiam = 4 'Default pupil diameter ` $[`C/h Else o2LUB)=R' pupilDiam = CDbl(dlg.TextBox2) $U%N$_k? End If 2f9%HX(5 RY*s }f Print " " 3N{
ZX{} Print "Accommodation = " & A & " Diopters" PmDar<m Print "Pupil Diameter = " & pupilDiam & " mm" 1{wOjq(4 3<6P^p=I ' Calculate new parameters with accommodation $7\hszjZ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness }$s._)a McU]U9:z Rant = 12.0 - 0.4*A 'Radius of anterior lens |CjdmQ u CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens w"j [c#vM om,=.,|Ld Rpost = -5.224557 + 0.2*A 'Radius of posterior lens {>#4{D00 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens ;[-y>qU0 jyjK~!0 tlens = 3.767 + 0.04*A 'Lens thickness {7FD-Q[tS $h'>Zvf nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction =+wkjTO Yc
V*3` 'Adjust parameters to account for accommodation QBT_H"[ @nF#\ '************************************************************************* N~M-|^L 'Aqueous thickness (Position of Lens) L|w}#|- '************************************************************************* O.P:~ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) K7d]p0d' GetCustomElement eID, entity <' b% $RV'DQO parID = FindFullName( "Geometry.Arizona Eye" ) !rgdOlTR ^ `)eqTeW ' Delete any shift(s) in z O7T wM Yh count = 0 -"3<Ll While GetOperationCount(eID)>count *AN2&>Y GetOperation eID, count, op ^2um.`8 If op.Type="ShiftZ" Then 2<5s0GT'/ DeleteOperation eID,count !8>tT count=count-1 `=~d^wKYJ3 End If WqRg/ count=count+1 Nv_"?er+y Wend ,LJX ||k^pzj% 'Set new shift in $+a2CZs! op.Type = "ShiftZ" C$$lJ=> op.val1 = taq !/MHD op.parent = parID DvvjIYB~ AddOperation eID, op q9c:,k Print "Set aqueous humor thickness = " & taq-0.55 KA$l.6&d ]i@VIvYq '************************************************************************* \)vxZ! 'Radius and conic constant of anterior lens lTpmoDa% '************************************************************************* S[cVoV eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) *.0#cP7 " GetConic eID, entity, curv, conic bPtbU:G UGJ#
"9 SetConic eID, entity, 1/Rant, CCant Y r^C+Oyg Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant @[4 Tdf -kd_gbnr3 '************************************************************************* j*jO809%^ 'Radius and conic constant of posterior lens 9*}?0J8 '************************************************************************* S_B;m1 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" )
C vtG GetConic eID, entity, curv, conic Yj^n4G(h n.$wW
= SetConic eID, entity, 1/Rpost, CCpost 9L'R;H?L Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost wA<#E6^vG kiFTx
&gf '************************************************************************* 0UvN ws 'Lens thickness (Position of posterior lens surface) NPM}w! '************************************************************************* ?5!>k^q |PED8K:rU parID = FindFullName( "Geometry.Arizona Eye.Lens" ) %Ot^G%34 ')/yBH9mR ' Delete any z-shift(s) IU`&h2KZ. count = 0 V{[vIt* While GetOperationCount(eID)>count lT3, G#( GetOperation eID, count, op fK|F`F2V If op.Type="ShiftZ" Then @iwg`j6ol DeleteOperation eID,count f|1GlUA{t count=count-1 S5Q$dAL End If tc@([XqH count=count+1 T.zUerbO Wend `AA[k tF<|Eja* 'Set new z-shift S&@uY#_(*T op.Type = "ShiftZ" KS/1ux4x op.val1 = tlens 6*/o op.parent = parID DM%4V|F" AddOperation eID, op nkp!kqJ09 Print "Set lens thickness = " & tlens L+PrV y )0P>o]fWI '************************************************************************* i!30f^9D-S 'Lens index of refraction L
s=2! '************************************************************************* <=*xwI&q eID = FindMaterial( "Lens" ) &zr..i4O GetModelMaterial eID, mat c"3 a,& *1}'ZEaJ mat.Nd = nlens I"^ `!8<q SetModelMaterial eID, mat {<a(1#{ Print "Set lens index of refraction = " & nlens b<B|p| VGY#ph% '************************************************************************* Y
zXL8 'Pupil diameter N6Fj}m&E '************************************************************************* aUN!Sd2, eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) J}qk:xGL +1H.5| 'Adjust pupil diameter (trimming volume inner hole) \ qc8;"@ -So&?3,\A@ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" \w!G `}KK@(Y ' Adjust pupil location to just in front of the lens nl|}_~4U parID = FindFullName( "Geometry.Arizona Eye" ) z6vRTY eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) iO;q] count = 0 XX5 ):1 While GetOperationCount(eID)>count N?H;fK4v GetOperation eID, count, op h5G>FPM-= If op.Type="ShiftZ" Then rHu # DeleteOperation eID,count iq
'3.-xYr count=count-1 `5;O|qRq End If AAkdwo count=count+1 zm}4=Kz} Wend %Ysu613mz op.Type = "ShiftZ" 2P8JLT*Tj op.val1 = taq-0.01 $Xw .iN]g op.parent = parID <D4.kM AddOperation eID, op +d6/*}ht
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Print "Set pupil diameter = " & pupilDiam `?PZvGi .}6 YKKqS 'Update AZ Eye subassembly Description Rx*T7*xg{ eID = FindFullName( "Geometry.Arizona Eye" ) *Wv]DV=\ GetEntity eID, entity >De\2gbJ entity.Description = "Accommodation = " & A & "D" o_p//S#q SetEntity eID, entity e@s+]a8D-k 2>#Pt^R:C Update 4^VY Print "DONE!" |n3PznV ,b=&iDc End Sub BclZsU=xn NjVuwIm+ 如果屈光度是4,光瞳直径是4,则会输出如下数据: %O;"Z`I Zgo^M,g Accommodation = 4 Diopters SC`.VCfc. Pupil Diameter = 4 mm Dg/&m*Yl Set aqueous humor thickness = 2.81 AZxx%6 Set anterior lens radius = 10.4 and conic constant = -2.375869 0ANqEQX Set posterior lens radius = -4.424557 and conic constant = -3.081019 `~[zIq:}7 Set lens thickness = 3.927 VcT(n7 Set lens index of refraction = 1.42672 H1f){L97wR Set pupil diameter = 4 s,N%sO; DONE! ;g: TsYwM
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