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简介 g)$/'RB XSk*w'xO 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。 [wU e"{ /T_{k. 模型 f~Y;ZvB A0hKzj 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。 YTpiOPf ]1hyv m3 Table 1. AZ眼睛模型的定义 {uUV(FzF6 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. OQW%nF9~ ')N[)&&Q{ 光源 Kb X&E0 1lo.X_ 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。 L4O.= *P1 '8J!(+ $ UNC0(4 图1. 光源和提示信息使用 .~$!BWP 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。 $%BI8_ nQGl]2 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 Cj%n?- e!W U 图2. 字母F光源的设定方法光 cWtuI(. [Ef6@ 图3. 字母F在视网膜上位置点列图 rn^cajO^ 视网膜的散射 [ Y+Ta, |L/EH~| O 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 [)+wke9 9xi nX-x;n r7)qr%n 图4. 视网膜朗伯散射设定 QC,fyw\ 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 (E;+E\E ;b{yu| GYZP?E p* 图5. 视网膜重点采样规格设定 Hr_5N,
脚本 oyB
gF\ gY'-C 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: *\.8*6*$! xKR\w!+Z' 图6. 用户对话框的创建与编辑 AH{#RD 图7. 用户对话框编辑器 '-U&S 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。 "uli~ {IU 余下的脚本计算与屈光度有关的所有参数。 y'aK92pF: 8`<e\g7- 分析 @)\4 $#+- "1YwV~M5 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 nU4to \q($8< 图7. 字母F在视网膜上颜色分析 {J1iheuS} 脚本代码 W#)X@TlE gw!d[{# Option Explicit 'Remove this to enable non-dimensioned variables to be used. cJMi`PQ; hK,a8%KnFA Dim entity As T_ENTITY ]]0Yh Dim op As T_OPERATION y8_$YA/g Dim mat As T_MODELMATERIAL t"zi'9$t Dim A As Double {dXTj 7 Dim pupilDiam As Double AsD$M*It Dim eID As Long 5(gWK{R)* Dim parID As Long z&cM8w: Dim count As Integer lEgjv, Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double t~7OtPF Dim tlens As Double, nlens As Double 0kSM$D_ Dim curv As Double, conic As Double Q^;:Kl.b Dim ok As Long IyI0|&r2A Bn9#F#F< Sub Main O\CnKNk, 2eHVl.C5 '用户输入对话框 "~=-Q#xO Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ,z<1:st]< TextBox 220,21,40,21,.TextBox1 'default: 0 3. @LAF Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 y XKddD OKButton 40,91,90,21 EK=
y!> CancelButton 190,91,90,21 RC}m]!Uz Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 #i.,+Q TextBox 220,49,40,21,.TextBox2 'default: 4 "u]&~$ End Dialog C6EGM/m8 Dim dlg As UserDialog ,{mv6?_ D Qz+t ok = Dialog (dlg) Vpne-PW "={* 0P If ok=0 Then 'cancel button was pressed PtYG%/s Print "Execution cancelled." Y)DAR83 End Pz34a@%" End If O/|))H?C AT)b/ycC 'Assign accommodation and pupil diameter & use defaults if field left empty jz`3xFy *] If dlg.TextBox1 = "" Then I?St}Tl A = 0 'Default accommodation k_{?{:X;y Else 67hfv e A = CDbl(dlg.TextBox1) ^*i0~_ End If Q5ff&CE MT"&|Og If dlg.TextBox2 = "" Then 5[g\.yi2_] pupilDiam = 4 'Default pupil diameter pmUf*u- Else J^`5L7CO pupilDiam = CDbl(dlg.TextBox2) ,#FP]$FK End If [zBi*%5O 4w~%MZA^ Print " " A+!,{G Print "Accommodation = " & A & " Diopters" R|}N"J _ Print "Pupil Diameter = " & pupilDiam & " mm" Pw| h`[h L-}J=n\ ' Calculate new parameters with accommodation J,:&U
wkv taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness Bcarx<P-p t[J=8rhER Rant = 12.0 - 0.4*A 'Radius of anterior lens En1LGi4# CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens W^H3 =hZ *<W8j[? Rpost = -5.224557 + 0.2*A 'Radius of posterior lens /zt M' CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens PWyf3 !ig&8: tlens = 3.767 + 0.04*A 'Lens thickness JC%&d1
/ZD 6pF nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction H)i|?3Ip &}[P{53sr 'Adjust parameters to account for accommodation *Q^z4UY =V]0G,,\ '************************************************************************* n
Syq}Y3 'Aqueous thickness (Position of Lens) r":anR( ; '************************************************************************* IC&P-X_aP eID = FindFullName( "Geometry.Arizona Eye.Lens" ) A
$gn{ c GetCustomElement eID, entity 3q}j"x? /$CTz xd1 parID = FindFullName( "Geometry.Arizona Eye" ) jtlRom} t|eH'"N%o ' Delete any shift(s) in z hK{H7Ey* count = 0 }1e4u{ While GetOperationCount(eID)>count Z.Yq)\it GetOperation eID, count, op q6)fP4MQ] If op.Type="ShiftZ" Then <M@-|K"Eb DeleteOperation eID,count GM0Q@`d count=count-1 xy[#LX)RW End If /3,Lp-kp count=count+1 NDP"
@ Wend :${tts2g Q0Ft.b 'Set new shift in VwE4:/7YN op.Type = "ShiftZ" ><
$LV& op.val1 = taq /T)E&=Ds op.parent = parID o]4\Geg$ AddOperation eID, op &jHsFS Print "Set aqueous humor thickness = " & taq-0.55 R,G*]/r` qU7_%Z '************************************************************************* X}v*"`@Q 'Radius and conic constant of anterior lens T:$^1"\ '************************************************************************* ![\-J$ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) %`yfi+e GetConic eID, entity, curv, conic h<U?WtWT-p :.,9}\LK SetConic eID, entity, 1/Rant, CCant o=3hWbe Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant O`9c!_lis `SFeln{1B '************************************************************************* >MHlrSH2 'Radius and conic constant of posterior lens Bi:lC5d5? '************************************************************************* r k W7;! eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) x%=CEe?6 GetConic eID, entity, curv, conic Wr%ov6: A/>Q5) SetConic eID, entity, 1/Rpost, CCpost i]%f94 Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost MqnUym N
$) G8 '************************************************************************* <bKtAf 'Lens thickness (Position of posterior lens surface) >#|%'Us '************************************************************************* cRVL1ne TwPQ8}pj? parID = FindFullName( "Geometry.Arizona Eye.Lens" ) TU0-L35P1 js<d"m* ' Delete any z-shift(s) Io]FDPN count = 0 P35DVK S While GetOperationCount(eID)>count =0=#M(w GetOperation eID, count, op HrBJi If op.Type="ShiftZ" Then = ^NvUrK DeleteOperation eID,count G;l7,1;MU: count=count-1 A)&FcMO*z End If R@\}iyM count=count+1 (`.OS)& Wend R ZY=c >ou=}/< 'Set new z-shift 32[}@f2q op.Type = "ShiftZ" X&pYLm72; op.val1 = tlens [tpiU'/Zl op.parent = parID <?nI O AddOperation eID, op );gY8UL^ Print "Set lens thickness = " & tlens Tn}`VW~ 0>sa{Z '************************************************************************* !%G]~ 'Lens index of refraction r)iEtT!p* '************************************************************************* <k:I2LF_ eID = FindMaterial( "Lens" ) +
Q-b} GetModelMaterial eID, mat ;5 j|B|v $Z@*!B^ mat.Nd = nlens hC<ROD SetModelMaterial eID, mat VL9wRu; Print "Set lens index of refraction = " & nlens ^c\O,*: E=s,- '************************************************************************* y&NqVR= 'Pupil diameter nje7?Vz '************************************************************************* ~Ru\Z-q1 eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 4XN
\p )d2Z g 'Adjust pupil diameter (trimming volume inner hole) $o[-xNn1 /f3/}x!po SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" =0)|psCsM P1eSx#3bR ' Adjust pupil location to just in front of the lens (9]Uuvfp6" parID = FindFullName( "Geometry.Arizona Eye" ) <7^|@L
6 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) +0pI}a\ count = 0 ]RCo@QW While GetOperationCount(eID)>count y(COB6r GetOperation eID, count, op ${ {4L?7 If op.Type="ShiftZ" Then ,{_i{WV DeleteOperation eID,count / FcRp ," count=count-1 Mn0.!J
" End If yLa@27T\A count=count+1 9M96$i`P Wend Z=JKBoAY op.Type = "ShiftZ" X1^VdJE op.val1 = taq-0.01 ^Oz~T|) op.parent = parID 46:<[0Psl/ AddOperation eID, op \O|SPhaIf t dm7MPM Print "Set pupil diameter = " & pupilDiam PIri|ZS LDlYLsF9 'Update AZ Eye subassembly Description F!vrvlD`s eID = FindFullName( "Geometry.Arizona Eye" ) .WF"vUp GetEntity eID, entity LDt6<D8,Q entity.Description = "Accommodation = " & A & "D" 4=yzf SetEntity eID, entity ?2<)
Jw \*$^}8 Update hfwJZ\_60 Print "DONE!" 9Dx~!( Bz]tKJ End Sub b'z
$S+ Af|h*V4Xu 如果屈光度是4,光瞳直径是4,则会输出如下数据: R]"Zv'M(AM !M~:#k Accommodation = 4 Diopters ,>j3zjf^ Pupil Diameter = 4 mm 6<&A}pp Set aqueous humor thickness = 2.81 uMcI'= Set anterior lens radius = 10.4 and conic constant = -2.375869 N^;lp<{6? Set posterior lens radius = -4.424557 and conic constant = -3.081019 !1$x4 qxS Set lens thickness = 3.927 1w>[ Set lens index of refraction = 1.42672 4$Ai!a Set pupil diameter = 4 i 8sv,P DONE! ' @!&{N #
&v4c FQWjL>NB QQ:2987619807 yq~
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