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简介 6$kq aS## piPR=B+ 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。 3Dng1} -:|?h{q?u 模型 $*e2YQdLo p1Jh0o8 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 Y w^m oB}BU`-l Table 1. AZ眼睛模型的定义 yXSFjcoB 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. Y$Zx, .E`\MtA 光源 ~Sj9GxTe ,}3
'I [ 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。 vHyC; 4' ~;l@|7wGz :r{<zd>; 图1. 光源和提示信息使用 TE3lK(f 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。 11o.c; &]`(v}`] 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。 3EJj9}#x"' [pbo4e,4O 图2. 字母F光源的设定方法光 OLyf8&AU@ -ws? "_w 图3. 字母F在视网膜上位置点列图 ^E;kgED5 视网膜的散射 K"|l@Q[ ^q{9 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。 _zY#U9 mk.9OhYY 0)Uce=t` 图4. 视网膜朗伯散射设定 u+Y\6~=+ 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。 Cn,d?H r)y=lAyF> nV"~-On 图5. 视网膜重点采样规格设定 RIlwdt
脚本 @$ne{2J3 g%sluT[# 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: 8EW_V$>R
~ksi</s 图6. 用户对话框的创建与编辑 my(2;IJ#{ 图7. 用户对话框编辑器 u_@f$ 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。 CDsSrKhx 余下的脚本计算与屈光度有关的所有参数。 ZInpMp K'L^;z6 分析 &5\iM^ |,S+@"0# 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 7?#J~.d5 #eoome2Q 图7. 字母F在视网膜上颜色分析 ;Y00TGU 脚本代码 uZNTHD v\c>b:AofD Option Explicit 'Remove this to enable non-dimensioned variables to be used. %'bM){ {#ZlM Dim entity As T_ENTITY joFm]3$; Dim op As T_OPERATION V3&RJ k=b Dim mat As T_MODELMATERIAL [)H&'5 +F Dim A As Double y&6FybIz Dim pupilDiam As Double WffQ :L? Dim eID As Long <fZyAa3} Dim parID As Long
9Vg?{v!yn Dim count As Integer S=MEG+Ad Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double Njxv4cc Dim tlens As Double, nlens As Double /Gd=n Dim curv As Double, conic As Double ~5NXd)2+Ks Dim ok As Long $mu^G t t>L;kRujVJ Sub Main R cAwrsd '}9x\3E '用户输入对话框 Lb!Fcf|h Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 |z9*GY6RU TextBox 220,21,40,21,.TextBox1 'default: 0 .k#U]M
Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 '9laa=H%8 OKButton 40,91,90,21 2y//'3[ CancelButton 190,91,90,21 r/YMLQ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 y`VyQWW TextBox 220,49,40,21,.TextBox2 'default: 4 vq0Vq(V= End Dialog q8FTi^=Kb Dim dlg As UserDialog aT{_0m$G10 |9u OUE ok = Dialog (dlg) v_<rNc,z-s P2NQHX
If ok=0 Then 'cancel button was pressed *T-<|zQ Print "Execution cancelled." )Lk639r End HguT"%iv End If Vy6qbC-Kt 6@Y_*4$| 'Assign accommodation and pupil diameter & use defaults if field left empty 6hw=
If dlg.TextBox1 = "" Then oQLq&zRH`f A = 0 'Default accommodation &TnS4O Else \RNNg A = CDbl(dlg.TextBox1) A}BVep@D End If _Us#\+]_: 5-|:^hU9 If dlg.TextBox2 = "" Then O[\iE5+$ pupilDiam = 4 'Default pupil diameter aAZZ8V Else cm&nd'A't pupilDiam = CDbl(dlg.TextBox2) PxTwPl End If <Q3oT :yL] ;J Print " " }K7#Q Print "Accommodation = " & A & " Diopters" +Jlay1U& Print "Pupil Diameter = " & pupilDiam & " mm" yg`j-9[8 aEFJ;n7m ' Calculate new parameters with accommodation X@'uy<tI- taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness Ye\rB\- ~,d,#)VE2q Rant = 12.0 - 0.4*A 'Radius of anterior lens c-x,fS"&W CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens bbtGXfI+SB TcyNIx Rpost = -5.224557 + 0.2*A 'Radius of posterior lens J}*,HT * CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens H7?Vy bg~ y_'Ub{w tlens = 3.767 + 0.04*A 'Lens thickness 7yG#Z)VE 8{|8G-Mi nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction "$~':) V" H~oail{EQ 'Adjust parameters to account for accommodation 0m7Y>0wC6T QMA%$ '************************************************************************* S$f9m 'Aqueous thickness (Position of Lens) #Z}Rfk(~ '************************************************************************* w~.f eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 45=bGf# GetCustomElement eID, entity a Fc1|.Nm 6 +Sxr parID = FindFullName( "Geometry.Arizona Eye" ) }^4Xv^dW>g %OtFHhb ' Delete any shift(s) in z ?# Mr count = 0 d)B@x` While GetOperationCount(eID)>count bADnW4N`6; GetOperation eID, count, op H;D>|q If op.Type="ShiftZ" Then Av @b!iw+ DeleteOperation eID,count Jz?j[ count=count-1 \@-@Y End If _ftI*ni:< count=count+1 ~fBtQGdX Wend +ylTGSZS !ds"9w 'Set new shift in n?oW < & op.Type = "ShiftZ" 1 da@3xaF op.val1 = taq JBD7h5|Lc op.parent = parID _geWE0
E AddOperation eID, op A]y`7jJ Print "Set aqueous humor thickness = " & taq-0.55 'QG xd!4 _G_Cj{w '************************************************************************* 68bQ;Dv 'Radius and conic constant of anterior lens Q0$8j-1I '************************************************************************* :f Kl]XO eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) V
@rI`~$ GetConic eID, entity, curv, conic ,4hJT B*qi_{Gp SetConic eID, entity, 1/Rant, CCant pb^i^tA+A Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 2^XGGB0 ZjT,pOSyb '************************************************************************* iz5CAxm 'Radius and conic constant of posterior lens 9*$t!r{B@ '************************************************************************* ,t}vz 7 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) cD@(/$wt GetConic eID, entity, curv, conic qsL)}sC^8 (w&F/ynO: SetConic eID, entity, 1/Rpost, CCpost 1pQn8[sc@ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost E"\/M M\C"5%2Mu '************************************************************************* \:R%4w#Jv 'Lens thickness (Position of posterior lens surface) t4{rb,
}W '************************************************************************* #XK2Ien)Z X$%' parID = FindFullName( "Geometry.Arizona Eye.Lens" ) D@C-5rmq $r@
=*( ' Delete any z-shift(s) z,|r*\dw count = 0 BW-`t-,E; While GetOperationCount(eID)>count /{|EAd{ GetOperation eID, count, op UsgK If op.Type="ShiftZ" Then 85lCj-cs DeleteOperation eID,count Z/Eb: count=count-1 u,F nAh?" End If >d~WH@o`G count=count+1 ]&?Y~"{cD Wend 6\L0mcXR!
_a_7,bk5 'Set new z-shift 0YaA ` op.Type = "ShiftZ" @*>@AFnf\Z op.val1 = tlens _AYXc] 4% op.parent = parID b6W2^tr- AddOperation eID, op "ZHW2l Mf Print "Set lens thickness = " & tlens _4TH4~cY $Vsk Ew"|M '************************************************************************* -g)9R%>- 'Lens index of refraction $m7?3/YG '************************************************************************* )64@2~4y eID = FindMaterial( "Lens" ) a-y+@#;2_ GetModelMaterial eID, mat dG@"!!, L Y6;.d$J mat.Nd = nlens vQ<90ZxqB SetModelMaterial eID, mat f5F@^QXQ Print "Set lens index of refraction = " & nlens l6(-I
Tb '[J<=2& '************************************************************************* whonDG4WP 'Pupil diameter .tkT<o-u<J '************************************************************************* lW<PoT eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) m7&O9?X -yR.<KnL 'Adjust pupil diameter (trimming volume inner hole) A3vUPWdDk |M8WyW SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" d\ %WgH Y^36>1.: ' Adjust pupil location to just in front of the lens 79nG|Yj|\ parID = FindFullName( "Geometry.Arizona Eye" ) U;bK!& |