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简介 n79DS(t aLyhxmn ^) 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。 $' I$n (<:rKp 模型 ck4T#g;= H(*=9 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。 fSQ3 :o |WwFE|< Table 1. AZ眼睛模型的定义 C\hZ;Z1 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. uN?O*h/( 8d*<Aki?; 光源 ?#{2?%_ T\b";+!W 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。 ]@j"0F/` /w0v5X7 hvv>UC/ 图1. 光源和提示信息使用 lLwQridFXh 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。 GXvo't@N Wp~4[f`, 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。 q0KXuMK rc{[\1 -N 图2. 字母F光源的设定方法光 _-yF9g"I X7B)jH%N 图3. 字母F在视网膜上位置点列图 HDae_. 视网膜的散射 j/` qd(=B /j5-
"<;. 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。 vS,G<V3B F~0%j}ve }rAN2D]"} 图4. 视网膜朗伯散射设定 Xe^=(| M 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。 VA&OI;=ri FOnA;5Aa a^)4q\E 图5. 视网膜重点采样规格设定 s)'_{ A"h 脚本 }SvWC8 :$Di.|l@7 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: #*aGzF (R|FQdH 图6. 用户对话框的创建与编辑 Gy Xs{* 图7. 用户对话框编辑器 FSZoT! 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。 j
&[WE7wf 余下的脚本计算与屈光度有关的所有参数。 %Fm;LQa ] s!RA_%8/> 分析 =&g}Y <}'B-k9 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 {3p7`h~
{{)[Ap) 图7. 字母F在视网膜上颜色分析 nm|m1Z+U 脚本代码 t=\[J+ z&J ow/ Option Explicit 'Remove this to enable non-dimensioned variables to be used. Mh/>qyS*2 `g:^KCGMM Dim entity As T_ENTITY #1hz=~YO Dim op As T_OPERATION byxehJ6[V Dim mat As T_MODELMATERIAL o0+BQ&A)s* Dim A As Double <XcMc<h~ Dim pupilDiam As Double ``)1`wx$ Dim eID As Long $m0x8<7nu Dim parID As Long |l \/ {F Dim count As Integer 7a_n\]t465 Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double fy-Z{ Dim tlens As Double, nlens As Double v.&*z48 Dim curv As Double, conic As Double {gHscj;SM Dim ok As Long ]f @LhC1x nZ+5@(
* Sub Main yl+)I 1?$!y '用户输入对话框 Dj&bHC5% Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 csA.3|rv TextBox 220,21,40,21,.TextBox1 'default: 0 dX}dO)%m{ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 b2kbuk] OKButton 40,91,90,21 v?=VZ~`O( CancelButton 190,91,90,21 q@Yt`$VTN Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 JkDZl?x5 TextBox 220,49,40,21,.TextBox2 'default: 4 HD^~4\% End Dialog !w\;Q8irN Dim dlg As UserDialog f]65iE?x Im1qWe ok = Dialog (dlg) . pEeR kAQ Zj3P] If ok=0 Then 'cancel button was pressed 9s6lt#?b Print "Execution cancelled." T.N7` End 2jBE+k"M End If XFAt\g TUYl><F5v= 'Assign accommodation and pupil diameter & use defaults if field left empty #;\;F PuZ If dlg.TextBox1 = "" Then w3UJw A = 0 'Default accommodation rX
d2[pp Else ^`5Yxpz A = CDbl(dlg.TextBox1) eL4@%
]o End If g' U^fN ri V/wN9C If dlg.TextBox2 = "" Then Y[]t_o) pupilDiam = 4 'Default pupil diameter ,qqV11P] Else 0|vWwZq pupilDiam = CDbl(dlg.TextBox2) hRcJ):Wyb End If 9+|,aG s 2Yjysn Print " " +6-!o,( Print "Accommodation = " & A & " Diopters" =W^L8!BE' Print "Pupil Diameter = " & pupilDiam & " mm" 2~'quA f TtMmz ' Calculate new parameters with accommodation Q'M Ez taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness OB@t(KNx*P .HJHJ.Js8X Rant = 12.0 - 0.4*A 'Radius of anterior lens &y+*3,!n8 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 5-po>1g' @= 9y5r Rpost = -5.224557 + 0.2*A 'Radius of posterior lens BJrNbo;T CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens a-5$GvG 0~+:~$VrT tlens = 3.767 + 0.04*A 'Lens thickness e-t`\5b; 9xp
;$14 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction F+r6/e6a d7gSkna`5c 'Adjust parameters to account for accommodation 0P
>dXd)T :HQ/vVw'"9 '************************************************************************* xq*yZ5:5Jo 'Aqueous thickness (Position of Lens) )ISTb '************************************************************************* h:90K eID = FindFullName( "Geometry.Arizona Eye.Lens" ) #<3\}*/ GetCustomElement eID, entity %c{)'X Ip-jqN J~ parID = FindFullName( "Geometry.Arizona Eye" ) 0~+k j(2T,WM ' Delete any shift(s) in z |sAg@kM count = 0 ,' B=eY, While GetOperationCount(eID)>count [ RuY' GetOperation eID, count, op e/Y+S;a If op.Type="ShiftZ" Then -lEh}r DeleteOperation eID,count N `MQHQ1 count=count-1 ~`.%n7 End If J n/=v\K@ count=count+1 \}W.RQ^3 Wend $
7!GA9Bn mYX) =B{ 'Set new shift in c5pG?jr+d op.Type = "ShiftZ" (5
hu
W7v op.val1 = taq u>#'Y+7 op.parent = parID (#lS?+w) AddOperation eID, op OwUbm0)h^V Print "Set aqueous humor thickness = " & taq-0.55 X=~QE}x v2R:=d
')> '************************************************************************* ^u{$$.& 'Radius and conic constant of anterior lens &|eQLY
#l '************************************************************************* ,Nh X% eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 1uMdgrJRR GetConic eID, entity, curv, conic !}?]&[N= uI/
A_ SetConic eID, entity, 1/Rant, CCant o~p^`5# Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 4G ?k31,k !hUyX}{`j '************************************************************************* g=Jfp$*[ 'Radius and conic constant of posterior lens *fZ'#C~x '************************************************************************* 2t<CAKBB
eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) K~R{q+ GetConic eID, entity, curv, conic 6yqp<D0SP) 8qveKS]vZ SetConic eID, entity, 1/Rpost, CCpost \)*qW[C$a Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost >{Djx iDr0_y*t '************************************************************************* C.O-iBVe# 'Lens thickness (Position of posterior lens surface) *d 4D9( '************************************************************************* pm+[,u!i A:(uK>5{Kk parID = FindFullName( "Geometry.Arizona Eye.Lens" ) d|3[MnU[a #q%/~-Uk ' Delete any z-shift(s) NT 'Y h count = 0 l]gfT& While GetOperationCount(eID)>count Tec6]
: GetOperation eID, count, op X@rAe37h+ If op.Type="ShiftZ" Then NG ~sE&,7 DeleteOperation eID,count KC'{>rt7 count=count-1 va\cE*,@ns End If -[z;y73]t count=count+1 dL>ZL1.$ Wend A7se#"w %|Vq"MW,I 'Set new z-shift XQ>m8K?\d op.Type = "ShiftZ" *&s_u)b op.val1 = tlens lOZZ- op.parent = parID Jh1fM`kB5K AddOperation eID, op A]1](VQ)4 Print "Set lens thickness = " & tlens Flsf5 Tr0 ZC"p^~U_e[ '************************************************************************* H`sV\'`!} 'Lens index of refraction 0:nyOx(; '************************************************************************* Nsb13mlY eID = FindMaterial( "Lens" ) 'tekne GetModelMaterial eID, mat L,$9)`j ;IyQqP#,< mat.Nd = nlens p)`JVq,H/B SetModelMaterial eID, mat G9;WO* Print "Set lens index of refraction = " & nlens :7gIm|2"] L fhd02 '************************************************************************* 5K0Isuu>> 'Pupil diameter $P$OWp?b '************************************************************************* t5S S] eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) N]3XDd|q ^VD14V3 'Adjust pupil diameter (trimming volume inner hole) ;TYkJH" 8WMC ~ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" s&4Y+dk93 yfj<P/aA+ ' Adjust pupil location to just in front of the lens czafBO6 parID = FindFullName( "Geometry.Arizona Eye" ) 3LG)s:p$/ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) qbjRw!2?w count = 0 9kcAMk1K While GetOperationCount(eID)>count &W1c#]q@r GetOperation eID, count, op !^w+<p If op.Type="ShiftZ" Then "Mth<%i DeleteOperation eID,count 3/iGSG` count=count-1 278
6tZF, End If @AJt/wPk count=count+1 >354O6 Wend K:mb$YJ& op.Type = "ShiftZ" {=TD^>? op.val1 = taq-0.01 <3'r&ks op.parent = parID 8@ b83 AddOperation eID, op xRb-m$B}L ws@;2?%A Print "Set pupil diameter = " & pupilDiam n<MH\.!tM C Z|R-ky6p 'Update AZ Eye subassembly Description s{!F@^a eID = FindFullName( "Geometry.Arizona Eye" ) dI3U*:$X
GetEntity eID, entity EI'( entity.Description = "Accommodation = " & A & "D" f5AK@]4G SetEntity eID, entity )]'?yS" (V*ggii@ Update tR1
kn&w Print "DONE!" :WE(1!P@ !RV}dhI End Sub 1Nv_;p.{ : -OHD#>% 如果屈光度是4,光瞳直径是4,则会输出如下数据: |dXmg13( - {/N4/gu Accommodation = 4 Diopters bX8Bn0#a+ Pupil Diameter = 4 mm ~)ls.NXI Set aqueous humor thickness = 2.81 fDf:Jec`[ Set anterior lens radius = 10.4 and conic constant = -2.375869 0GEK xV\F Set posterior lens radius = -4.424557 and conic constant = -3.081019 /_v@YB!0 Set lens thickness = 3.927
@wb V@ Set lens index of refraction = 1.42672 (h%!Kun Set pupil diameter = 4 sa{X.}i%E DONE! ~!\n
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