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简介 _ QI\ ItVWO:x&v 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(<*)No =l;ewlU 模型 (!aNq( LVfF[ 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。 Lc,Pom KnQ*vM*VM Table 1. AZ眼睛模型的定义 jl$ece5v 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. rig,mv t;Sb/ 3 光源 F?*-4I- 8 &LQzwa 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。 Su7?;Oh/yI bKY7/w<dP 7M!I8C0!aO 图1. 光源和提示信息使用 i2Qz4 $z 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 ->-KCd1b Nq[uoaT 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 mt{nm[D!Xp !8d{q)JZ 图2. 字母F光源的设定方法光 .CABH,Po: ?k&Vy 图3. 字母F在视网膜上位置点列图 ,t?B+$E 视网膜的散射 g`' !HGY GqvpA#
i 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。 O!#g<`r{K xd?f2=dd~h 2j88<Yh]H 图4. 视网膜朗伯散射设定 1>_8d"<Gd 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。 ,{u
yG: Ts[_u@ ^A$Zw+P 图5. 视网膜重点采样规格设定 3vN_p$ 脚本 VU(v3^1" %KhI>O< 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: gjwn7_ uM IIYS 图6. 用户对话框的创建与编辑 JN-y)L/> 图7. 用户对话框编辑器 qZtzO2Mt 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。 |!3DPA(_ 余下的脚本计算与屈光度有关的所有参数。 C=L>zOZ DS(}<HK{ 分析 F3@phu${ P|tO<t6/9* 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-)_d20 ?W?c1> 图7. 字母F在视网膜上颜色分析 qpP=K $ 脚本代码 @sW24J1q+ M#4pE_G Option Explicit 'Remove this to enable non-dimensioned variables to be used. _LEK% _?m(V=z> Dim entity As T_ENTITY XH 4 Dim op As T_OPERATION nLZTK&7} Dim mat As T_MODELMATERIAL z,[Hli*0 Dim A As Double ; ; OAQ` Dim pupilDiam As Double {l1.2! Dim eID As Long .Ni\\ Dim parID As Long TCwFPlF| Dim count As Integer &ZlVWK~v Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double zII|9y Dim tlens As Double, nlens As Double )
<[XtK Dim curv As Double, conic As Double HSE!x_$ Dim ok As Long {0Yf]FQb-a P6'1.R Sub Main T= y}y vAF
"n '用户输入对话框 Db}j?ik/ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 n`B:;2X, TextBox 220,21,40,21,.TextBox1 'default: 0 17%,7P9pg Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 |PCm01NU! OKButton 40,91,90,21 z;,u}u}aI CancelButton 190,91,90,21 Olt?~} Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 mA}TJz TextBox 220,49,40,21,.TextBox2 'default: 4 ?4#Li~q End Dialog B:yGS*.tu Dim dlg As UserDialog ^+>laOzC`8 @su^0 9n ok = Dialog (dlg) -n~1C{< T"}5}6rSG If ok=0 Then 'cancel button was pressed KI iO Print "Execution cancelled." e\`&p End E!)xj.aS$ End If c(f ~]|6T~+]83 'Assign accommodation and pupil diameter & use defaults if field left empty MO]F1E?X If dlg.TextBox1 = "" Then Af~$TyX A = 0 'Default accommodation ,GhS[VJjR Else UawyDs A = CDbl(dlg.TextBox1) PFlNo` iO End If CAig]=2' d=$Mim If dlg.TextBox2 = "" Then PfAgM1 pupilDiam = 4 'Default pupil diameter p}z<Fdu0 Else b4%??"&<Y pupilDiam = CDbl(dlg.TextBox2) U/66L+1 End If L^/5ux @p9i Print " " hlvK5Z Print "Accommodation = " & A & " Diopters" )
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X Print "Pupil Diameter = " & pupilDiam & " mm" @muRxi n:I,PS0H< ' Calculate new parameters with accommodation q5J5> taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness s0TORl6Z| kUL'1!j7 Rant = 12.0 - 0.4*A 'Radius of anterior lens ;>U2|>5V CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens ,\W 8b-Z bI7Vwyz Rpost = -5.224557 + 0.2*A 'Radius of posterior lens !]A CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens &)#
ihK_ R^8o^z['6u tlens = 3.767 + 0.04*A 'Lens thickness k{R> IEL%!RFG nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction <6%?OJhp nY[WRt w 'Adjust parameters to account for accommodation :;%2BSgFU p}}R-D&K '************************************************************************* )W,aN)1) 'Aqueous thickness (Position of Lens) n K1Slg#U '************************************************************************* D=A&+6B@- eID = FindFullName( "Geometry.Arizona Eye.Lens" ) h6L&\~pf GetCustomElement eID, entity G{As,`{ 4@+`q * parID = FindFullName( "Geometry.Arizona Eye" ) NR$3%0 nC6 gmUz9P( ' Delete any shift(s) in z d~])K#oJ count = 0 @o].He@L<j While GetOperationCount(eID)>count |"q5sym8Y_ GetOperation eID, count, op /*(Kr'c If op.Type="ShiftZ" Then *P[hy DeleteOperation eID,count f=+mIZ count=count-1 ;}I:\P End If S3C]AhW; count=count+1 j.[.1G*(" Wend x;O[c3I C!O0xhs 'Set new shift in
_O)>$.^6 op.Type = "ShiftZ" (q/e1L-S op.val1 = taq h:))@@7MJ op.parent = parID 1;bh^WMJ AddOperation eID, op ;DQ ZT Print "Set aqueous humor thickness = " & taq-0.55 +zqn<<9 ]6,\r" '************************************************************************* "`/h#np 'Radius and conic constant of anterior lens J/`<!$<c '************************************************************************* RXMISt3+{y eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Gm&Za,4%4 GetConic eID, entity, curv, conic #Qw0&kM7I {S]}.7`l9( SetConic eID, entity, 1/Rant, CCant nAAs{ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant )N{Pw$l_ +yG~T '************************************************************************* >a<.mU|# 'Radius and conic constant of posterior lens 6D;Sgc5" '************************************************************************* fCd&D eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ;J( 8
L GetConic eID, entity, curv, conic PA{PD.4Du y%$AhRk*U SetConic eID, entity, 1/Rpost, CCpost KJUH(]>F Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost gT{Q#C2Baw &GO}|W '************************************************************************* ]Jg&VXrH 'Lens thickness (Position of posterior lens surface) _IHV7*u{; '************************************************************************* IxN9&xa kOrZv,qFG[ parID = FindFullName( "Geometry.Arizona Eye.Lens" ) wYXQlxd y un"Gozmt5 ' Delete any z-shift(s) a#(?P.6 count = 0 B N5[,J While GetOperationCount(eID)>count w>&aEv/f GetOperation eID, count, op HXC ;Np If op.Type="ShiftZ" Then |*eZD-f DeleteOperation eID,count gnf8l?M count=count-1 F@jZ ho End If bjW]bRw count=count+1 y3Qsv Wend ij`w} V :as$4| 'Set new z-shift w$iX.2|9%u op.Type = "ShiftZ" =!A_^;NQf op.val1 = tlens A1$TXr op.parent = parID Igt#V;kK"2 AddOperation eID, op :K,i\ Print "Set lens thickness = " & tlens cxC6n%!;y i v38p%Zm '************************************************************************* epe)a 'Lens index of refraction 9wUkh}s '************************************************************************* [#vH'y eID = FindMaterial( "Lens" ) B)g[3gQ GetModelMaterial eID, mat e2TiBTbQaF '3tCH)s mat.Nd = nlens M#6W(|V/ SetModelMaterial eID, mat qOtgve`jX Print "Set lens index of refraction = " & nlens *I.f1lz%* %3-y[f '************************************************************************* zT]8KA 'Pupil diameter e{K 215 '************************************************************************* V! A~K
eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ~L\z8[<C Z]Cq3~l 'Adjust pupil diameter (trimming volume inner hole) `p-cSxR_ 9wwqcx)3( SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" s~g *@K >+ u'DRN,h+ ' Adjust pupil location to just in front of the lens s Y Qk parID = FindFullName( "Geometry.Arizona Eye" ) 4N3R| eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) lvz7#f L~ count = 0 8qTys8 While GetOperationCount(eID)>count %s|Ely) GetOperation eID, count, op \ :sUL! If op.Type="ShiftZ" Then *Kgks 4 DeleteOperation eID,count t\,PB{P:J count=count-1 =s2*H8] End If ,!y$qVg'\f count=count+1 KwSqKI7]0 Wend 4F'LBS]=0 op.Type = "ShiftZ" WPMSm<[ op.val1 = taq-0.01 E,U+o $ op.parent = parID BM
.~ 5\ AddOperation eID, op E
A1?)|}n ]Ie 0S~ Print "Set pupil diameter = " & pupilDiam v MH b9HtR -iR; 'Update AZ Eye subassembly Description %_W)~Pv{+ eID = FindFullName( "Geometry.Arizona Eye" ) f+,qNvBY/ GetEntity eID, entity _op}1 entity.Description = "Accommodation = " & A & "D" VU]`&`~J SetEntity eID, entity K=h9Ce z E9W8:7 Update K!Y71_# Print "DONE!" ~IBP|)WA- k2tF} End Sub
:KP@RZm FbFPJ !fb 如果屈光度是4,光瞳直径是4,则会输出如下数据: bJ {'<J "_NN3lD)X Accommodation = 4 Diopters C1n>M}b Pupil Diameter = 4 mm ~-Qw.EdC Set aqueous humor thickness = 2.81 A[{yCn`tM Set anterior lens radius = 10.4 and conic constant = -2.375869 u^I|T.w<r6 Set posterior lens radius = -4.424557 and conic constant = -3.081019 g@!V3V Set lens thickness = 3.927 kv{za4,& Set lens index of refraction = 1.42672 0-Ku7<a Set pupil diameter = 4 _|I#{jK DONE! Flm%T-Dl @:vwb\azVD |3"KK QQ:2987619807 KU(&%|;g
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