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简介 pOmHxFOOK J+]W*?m 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。 '^6jRI,
H[;\[3 模型 =KCAHNr4? IW~q,X+`V
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。 o&PPW~D+h@ HOPi2nf{ Table 1. AZ眼睛模型的定义 |B`
mWZ'" 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. U6sPJc< T`Jj$Lue{ 光源 |s}7<A 9Q. }jV 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 :5 zXW;s [ELg:f3}5 o;^k"bo6 图1. 光源和提示信息使用 IMF9eS{L 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 o'hwyXy/S {] Zet}2 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 )r +o51gp '(S@9%,aK1 图2. 字母F光源的设定方法光 0;6^fiSY; TM?RH{(r 图3. 字母F在视网膜上位置点列图 !=t.AgmL 视网膜的散射 0+P[0 !#' y# 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 )RZ:\:c 6+Bccqn| 'U%L\v, 图4. 视网膜朗伯散射设定 +o*&JoC 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 w<54mGMOLr o$[alh;c+W YS|Ve*t(L= 图5. 视网膜重点采样规格设定 q<2b,w== 脚本 tXu_o6] rF>7
>wq 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: 9yA? 82)E Y{v\m(D 图6. 用户对话框的创建与编辑 +. ` I 图7. 用户对话框编辑器 >i:hdcxe 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。 2dpTU=K4 余下的脚本计算与屈光度有关的所有参数。 =w#sCy c7[+gc5} 分析 %Q2<bj] omEnIfQSO 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 F~O}@e{ _w\A=6=q| 图7. 字母F在视网膜上颜色分析 ,FP<#
0F*a 脚本代码 D)my@W0, { :~D Option Explicit 'Remove this to enable non-dimensioned variables to be used. 5[\LQtM Co%EJb"tk Dim entity As T_ENTITY tPb$ua| Dim op As T_OPERATION r:QLO~l/ Dim mat As T_MODELMATERIAL WXgGB[x Dim A As Double A@I ( &Z Dim pupilDiam As Double Ce%fz~*b Dim eID As Long 'GJ'Vli Dim parID As Long fZ6"DJZ Dim count As Integer g/v"E+ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double G$HXc$OY Dim tlens As Double, nlens As Double VBe.&b8 Dim curv As Double, conic As Double N)tqjq Dim ok As Long (tLAJ_v!.K @UG%B7 Sub Main mO1r~-~AJ *53@%9 {u '用户输入对话框 oTjsiXS Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 -%g&O-i\ TextBox 220,21,40,21,.TextBox1 'default: 0 %l.5c Sn@ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 `ywI+^b OKButton 40,91,90,21 Qe6'W
CancelButton 190,91,90,21 F#S)))#
Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ]@rt/ eX TextBox 220,49,40,21,.TextBox2 'default: 4 3gcDc~~= End Dialog 0zCmU)ng Dim dlg As UserDialog 5?{ytNCY 6bXP{,}Gp ok = Dialog (dlg) bW e_<'N /`b(} m If ok=0 Then 'cancel button was pressed f'>270pH Print "Execution cancelled." Pgp`g.$< End \F
}s"# End If 'q:t48& (*CGZDg 'Assign accommodation and pupil diameter & use defaults if field left empty jLy3c@Dp If dlg.TextBox1 = "" Then w
'<8lw A = 0 'Default accommodation F}C.F Else 2VgDM6h A = CDbl(dlg.TextBox1) X4bB End If K\2UwX .e,(}_[[< If dlg.TextBox2 = "" Then S.#IC
lV pupilDiam = 4 'Default pupil diameter :qQpBr$ Else NPFrn[M$ pupilDiam = CDbl(dlg.TextBox2) f L}3I(VK End If d;-/F b{4 j18qY4Gw) Print " " !jIpgs5 Print "Accommodation = " & A & " Diopters" `]0E) Print "Pupil Diameter = " & pupilDiam & " mm" REe<k<>p~ u*aFWl]= ' Calculate new parameters with accommodation c@]_V
taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness uoIvFcb^ +F9)+wT~;q Rant = 12.0 - 0.4*A 'Radius of anterior lens zxV,v*L) CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens e_6-+l!f mg)Zo C Rpost = -5.224557 + 0.2*A 'Radius of posterior lens Xaca=tsO CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 3,QsB<9Is +$b_,s tlens = 3.767 + 0.04*A 'Lens thickness 3ZF- n` yHka7D nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction #:5vN-9? &QoV(%:] 'Adjust parameters to account for accommodation Y~j)B\^{ 0CTUcVM#9 '************************************************************************* <Kq4thR 'Aqueous thickness (Position of Lens) xXJl Qbs '************************************************************************* h)MU^aP eID = FindFullName( "Geometry.Arizona Eye.Lens" ) }!W,/=z* GetCustomElement eID, entity `h:$3a:5 ~ e4Pj`?=K parID = FindFullName( "Geometry.Arizona Eye" ) Buue][[ ')8c ' Delete any shift(s) in z +-VkRr# count = 0 T"NDL[* While GetOperationCount(eID)>count n&51_.@Q GetOperation eID, count, op 4Hk eXS. If op.Type="ShiftZ" Then xP3v65Q1 DeleteOperation eID,count O=9mLI6 count=count-1 p7\}X. L End If mo$`a6[h< count=count+1 }qa8o Wend 4}4K6y<q ?0{8fGM4 'Set new shift in xw)$).yc op.Type = "ShiftZ" 5$(qnOi op.val1 = taq [|XMR=\> op.parent = parID >sUavvJ~x AddOperation eID, op ";&5@H| Print "Set aqueous humor thickness = " & taq-0.55 4t%g:9]vr aWG7k#nE '************************************************************************* IC1oW) 'Radius and conic constant of anterior lens 'mH9O '************************************************************************* y(#Aze{yC eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) /O@dqEbc GetConic eID, entity, curv, conic x/UmpJD+ tqnvC
UIE SetConic eID, entity, 1/Rant, CCant 7B|ddi7Q> Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant .??[qBOTE ,:Q+>h '************************************************************************* nkv+O$LXP 'Radius and conic constant of posterior lens ~w&_l57 '************************************************************************* v*Fr#I0U eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) vp"b_x1- GetConic eID, entity, curv, conic V*uoGWL]+ P|>pm]>C
SetConic eID, entity, 1/Rpost, CCpost KfSI6
Y_ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost cVx#dDdA LQ7.RK '************************************************************************* 6@"lIKeP 'Lens thickness (Position of posterior lens surface) th$?#4SbR '************************************************************************* ?"d25LyN *?'^Rc parID = FindFullName( "Geometry.Arizona Eye.Lens" ) PD-<D~7 ^1#"FU2cP ' Delete any z-shift(s) 9]{(~=D7 count = 0 ~HW}Wik While GetOperationCount(eID)>count ^""Ss GetOperation eID, count, op Gk!06 If op.Type="ShiftZ" Then o@&Hc bN^ DeleteOperation eID,count m0: IFE($ count=count-1 @Kx@ 2#~b End If ~^&]8~m*d count=count+1 5gdsV4DH$ Wend cv .R`)l +@U}gk;#c 'Set new z-shift tAI<[M@
op.Type = "ShiftZ" ^
#6Ei9di op.val1 = tlens 2|LgUA?< op.parent = parID 7K 8tz} AddOperation eID, op tX<.
Ud Print "Set lens thickness = " & tlens N8]DW_bsB F8c^M</ '************************************************************************* ;;A8TcE
' 'Lens index of refraction :o)4Y '************************************************************************* Y-0o>:SM eID = FindMaterial( "Lens" ) _a~uIGN GetModelMaterial eID, mat p41TSALq 'b?Px} mat.Nd = nlens h{J=Rq SetModelMaterial eID, mat ,#NH]T`c1 Print "Set lens index of refraction = " & nlens 0R#T 3K} c"|4'#S '************************************************************************* ai3wSUYJi 'Pupil diameter 9r5<A!1#L '************************************************************************* d0b`qk @4 eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 3M?vK(zG>P zqDG#}3f^ 'Adjust pupil diameter (trimming volume inner hole) LW"p/`#< UBgheu SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ?qdZ]M4e \-Oq/g{j ' Adjust pupil location to just in front of the lens */T.]^ parID = FindFullName( "Geometry.Arizona Eye" ) 8hKyp5(%l eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) -0 e&>H% count = 0 yV'<l
.N While GetOperationCount(eID)>count w2o%{n\L GetOperation eID, count, op =GP~h*5es If op.Type="ShiftZ" Then 2[O\"a% DeleteOperation eID,count j06Xz\c count=count-1 _ ?\4k{ET End If (_9cL,v count=count+1 XOdkfmc+s' Wend B9Ha6kj op.Type = "ShiftZ" Zi!6dl ev op.val1 = taq-0.01 $bGe1\ op.parent = parID B!;qz[]I AddOperation eID, op iG.qMf. h
rksPK"s2 Print "Set pupil diameter = " & pupilDiam K|OowM4tv ]+OHxCj: 'Update AZ Eye subassembly Description XDot3)2` eID = FindFullName( "Geometry.Arizona Eye" ) ,{pC1A@s GetEntity eID, entity o#X=1us entity.Description = "Accommodation = " & A & "D" SEL7,8 Hm SetEntity eID, entity pE^j Uxk6 |x
Nd^ Update ThvVLK Print "DONE!" o:.6{+|N f19~B[a End Sub +Vf39}8 %+1;iuDL 如果屈光度是4,光瞳直径是4,则会输出如下数据: *<5zMSZO ",pN.<F9O Accommodation = 4 Diopters `X =2Ff Pupil Diameter = 4 mm `akbzHOM Set aqueous humor thickness = 2.81 3hPj;-u Set anterior lens radius = 10.4 and conic constant = -2.375869 -9L[eYn Set posterior lens radius = -4.424557 and conic constant = -3.081019 jgkJF[t` Set lens thickness = 3.927 ?)60JWOJ1 Set lens index of refraction = 1.42672 A18 &9gY Set pupil diameter = 4 #Fl5]> | DONE! nJ ZQRRa:C HgY#O
r( =s\RK
QQ:2987619807 6{qI
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