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简介 A6]:BuP;c Pe@#6N` 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。 "6jt$-? 3x;UAi+& 模型 Tx.N#,T| ;I4vPh5Q 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 So1TH% *)E${\1' < Table 1. AZ眼睛模型的定义 Jpapl%7v 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. {[!<yUJ`S# $S#Z>d*1! 光源 v5M4Rs&t T~E;@weR 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 ga
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P =dAAb\: -qP)L;n 图1. 光源和提示信息使用 Vgj#-7bdyi 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 5SY%B#;5G j-K[]$ 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。 :BPgDLL, D>5)',D8xi 图2. 字母F光源的设定方法光 4t[7lL`Z ?,pwYT0g 图3. 字母F在视网膜上位置点列图 *p(_="J, 视网膜的散射 :H&Q!\a vFk@
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。 _WZx].|A= }k }=e 3'uXU<W! 图4. 视网膜朗伯散射设定 t<v.rb 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。 !/p|~K {?`rGJ{f 5k0iVpjQ 图5. 视网膜重点采样规格设定 /GgID!8 脚本 z/J?!ee IS]A<}j/- 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: Ge2Klyi TDo)8+.2z 图6. 用户对话框的创建与编辑 '/I`dj 图7. 用户对话框编辑器 .+9*5 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。 )]fiyXA
余下的脚本计算与屈光度有关的所有参数。 *ak0(yLn) ZD&F ,2v 分析 RnH?95n?{ L/u|90)L 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 d#T5=5# O&7.Ry
m 图7. 字母F在视网膜上颜色分析 J2Dn 脚本代码 Dl/ C?Fll }`w(sec:3 Option Explicit 'Remove this to enable non-dimensioned variables to be used. A"7YkOfwH D|5mNX%e Dim entity As T_ENTITY #mU\8M, Dim op As T_OPERATION i431mpMa Dim mat As T_MODELMATERIAL *P' X[z Dim A As Double _#K|g#p5 Dim pupilDiam As Double |mH* I Dim eID As Long "e-Y?_S7R8 Dim parID As Long 4 ?BQ&d Dim count As Integer g"/n95k< Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double E{V?[HcWq Dim tlens As Double, nlens As Double z-
q.8~Z Dim curv As Double, conic As Double 3Ws (],Q Dim ok As Long }Cu:BD.zQ Y7S1^'E
3 Sub Main o`CM15d*7o #K^hKx9 '用户输入对话框 5mAb9F8@ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 x;W!sO@$ TextBox 220,21,40,21,.TextBox1 'default: 0 tpSgbGzp Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 )cH\i91 OKButton 40,91,90,21 XgxO:"B CancelButton 190,91,90,21 p.:|Z-W$ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 807+|Ol[ TextBox 220,49,40,21,.TextBox2 'default: 4 bg|$1ue End Dialog +^9^)Ur| Dim dlg As UserDialog UwW@}cy,L H{=]94 ok = Dialog (dlg) c%5P|R~g]p N-l`U(Z~P If ok=0 Then 'cancel button was pressed 7NJl+*u Print "Execution cancelled." <7y/)b@ End %sc w]oF End If {U-z(0 ;C-ds 'Assign accommodation and pupil diameter & use defaults if field left empty Ho(MO!( If dlg.TextBox1 = "" Then 6OE
xAn8 A = 0 'Default accommodation ,xU#uyB Else -|'@:cIZ A = CDbl(dlg.TextBox1) :'r*
5EX End If &7'=t6 i@:^b_ If dlg.TextBox2 = "" Then V(cU/Aia^ pupilDiam = 4 'Default pupil diameter uyEk1)HC Else Q7u|^Gu,5 pupilDiam = CDbl(dlg.TextBox2) nOyG7: End If @~gPZm \X
%#-y Print " " ;ZB=@@l( Print "Accommodation = " & A & " Diopters" DvhFCA}z Print "Pupil Diameter = " & pupilDiam & " mm" f IV"U UZ/LR ' Calculate new parameters with accommodation G!`%.tH taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness g Nz O4`.ohAZ Rant = 12.0 - 0.4*A 'Radius of anterior lens 6\l F CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens pej-W/R& #_\**%,< Rpost = -5.224557 + 0.2*A 'Radius of posterior lens ();Z,A CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens :&5u) |j"C52Q tlens = 3.767 + 0.04*A 'Lens thickness VXCB.C" V@+sNM nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction oBmv^=cH @j\;9>I/ 'Adjust parameters to account for accommodation }vZfp5Y lLVD`) '************************************************************************* oG22; 'Aqueous thickness (Position of Lens) &2:WezDF '************************************************************************* 3K(/= eID = FindFullName( "Geometry.Arizona Eye.Lens" ) &T-:`( GetCustomElement eID, entity 5<X"+`=9 dw#pObH|` parID = FindFullName( "Geometry.Arizona Eye" )
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Z ral=`/p ' Delete any shift(s) in z ,PpVZq~ count = 0 Af]BR_- While GetOperationCount(eID)>count gs}&a3d7k GetOperation eID, count, op /p;OZf] If op.Type="ShiftZ" Then gT[] "ZT7 DeleteOperation eID,count CWZv/>,% count=count-1 e8SAjl"} End If + d>2 ' count=count+1 6k')12~' Wend %eF=;q LB7$&.m'B 'Set new shift in @ #J2t# op.Type = "ShiftZ" Q_/UC#I8 op.val1 = taq DM6(8df( op.parent = parID 9XUYy2{G AddOperation eID, op z+fy&NPl Print "Set aqueous humor thickness = " & taq-0.55 l [ m_<1L E0i!|H '************************************************************************* {'P?wv 'Radius and conic constant of anterior lens <_8eOL<X '************************************************************************* Yk{4 3yw eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) }K.)yv n GetConic eID, entity, curv, conic H5vg s2R H(?+-72KX SetConic eID, entity, 1/Rant, CCant ty;a!yjC Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant `j2|aX
%Z* (<`>B '************************************************************************* "V:RKH` 'Radius and conic constant of posterior lens , Sf:R4= '************************************************************************* ZDK+>^A) eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) cor!S a> GetConic eID, entity, curv, conic f#38QP-T {Y+e|B0 SetConic eID, entity, 1/Rpost, CCpost z/o&r`no Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost YqKQm+G $*fEgU% c '************************************************************************* x'i~o' 'Lens thickness (Position of posterior lens surface) J"eE9FLM '************************************************************************* UZJs!#P lE bV)&' parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 'cN3Vv k nwJub$5 ' Delete any z-shift(s) IYr4 count = 0 lA,[& While GetOperationCount(eID)>count sEb*GF*.V GetOperation eID, count, op ~!fOl)F If op.Type="ShiftZ" Then c~Y g( DeleteOperation eID,count #%CB`l count=count-1 gfXit$s End If Wsw/ D count=count+1 #FGj)pu Wend 2ak*aI p?s[I)e 'Set new z-shift %Bn n\{Az op.Type = "ShiftZ" w`Cs, op.val1 = tlens UnTvot6~ op.parent = parID )"bP]t^_ AddOperation eID, op +o6"Z) Print "Set lens thickness = " & tlens {tXyz[;i1} ,Igd<A= '************************************************************************* !M7727 'Lens index of refraction 2reQd47 '************************************************************************* p ^I#9(PT eID = FindMaterial( "Lens" ) Q=498Y~x GetModelMaterial eID, mat >{h/4T@ d?GB#N|+g mat.Nd = nlens h],l`lT1\ SetModelMaterial eID, mat 2,6|l.WFpE Print "Set lens index of refraction = " & nlens Dv BRK}' vcp[$-$QGJ '************************************************************************* IDt7KJ@hc 'Pupil diameter /kFw(l_. '************************************************************************* D89(u.h eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) UTxqqcqEny YLNJ4nE 'Adjust pupil diameter (trimming volume inner hole) RZ9chTX/ <`=(Ui$fD SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" u85Uy
yN J+nUxF;EE ' Adjust pupil location to just in front of the lens wn>?r
?KIB parID = FindFullName( "Geometry.Arizona Eye" ) qJJ~#W) eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) *46hw(L count = 0 K1|xatx1V While GetOperationCount(eID)>count 68a GetOperation eID, count, op yex0rnQ| If op.Type="ShiftZ" Then [G}l; DeleteOperation eID,count -*0U&]T count=count-1 -* piC( End If 8CGjI?j count=count+1 j
!rQa^ Wend K2oyHw<mk op.Type = "ShiftZ" ;fKFmY41 op.val1 = taq-0.01 !L55S03 op.parent = parID \QMRuR. AddOperation eID, op k9oLJ<.k 6+_qGV Print "Set pupil diameter = " & pupilDiam GPU,.s"&( \9jvQV/y 'Update AZ Eye subassembly Description %b3s|o3An eID = FindFullName( "Geometry.Arizona Eye" ) :"~n`
Q2[ GetEntity eID, entity wD`jks entity.Description = "Accommodation = " & A & "D" |7E1yu SetEntity eID, entity 4X:S#z
L3^+`e Update @xPWR=Lb Print "DONE!" HF]|>1WV[ /UPe@ End Sub r2xIbZ S,2{^X 如果屈光度是4,光瞳直径是4,则会输出如下数据: o"e]9{+< qHra9yuSh Accommodation = 4 Diopters GUdVsZjz( Pupil Diameter = 4 mm ?LA`v_ Set aqueous humor thickness = 2.81 /4#A|;d_ Set anterior lens radius = 10.4 and conic constant = -2.375869 Pa\"l'!>^ Set posterior lens radius = -4.424557 and conic constant = -3.081019 m?pm)w Set lens thickness = 3.927 s&~i S[ Set lens index of refraction = 1.42672 =?gDM[t^ Set pupil diameter = 4 nEboet-#D0 DONE! YgW 50)q^ e?)ic\K hy{1 Ea/T QQ:2987619807 #u<n .
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