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简介 .1ddv4Hk S=R3"~p 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。 r#~K[qb 8&a_A:h 模型 *PB/iVH%6 *)PG-$6X& 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。 .S vyj 0o68rF5^s Table 1. AZ眼睛模型的定义 .Dv=pB,u 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. 3YTIH2z5 $Qq_qTJu?G 光源 >rRf9wO1l r>3^kL5UI 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。 F_PTMl=Q|J u:4["ViC T]2U fi. 图1. 光源和提示信息使用 +sn2Lw!^ 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。 u_'nOle
K eti9nPjG 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。 jyjQzt
>\ :_c*m@=z( 图2. 字母F光源的设定方法光 YmCbxYa7 ?N#[<kd 图3. 字母F在视网膜上位置点列图 RSH/l;ii 视网膜的散射 (n=Aa; i^S2%qz 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。 g5TkD~w" }vsO^4Sjc 6e:P.HqjA 图4. 视网膜朗伯散射设定 9[f%;WaS 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。 :1BM=_WwI l4`^! #J~Xv:LgD 图5. 视网膜重点采样规格设定 QE6El'S 脚本 yam}x*O\xn $F1_^A[ 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: fv5C!> t ,9UCb$mh 图6. 用户对话框的创建与编辑 Gy^FrF 图7. 用户对话框编辑器 qp1\I$Y 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 >e_%M50 余下的脚本计算与屈光度有关的所有参数。 0:PSt_33F ) BlJ|M 分析 x,-S1[#X; =WjJN Q 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 n>T:2PQ3 B<C&ay 图7. 字母F在视网膜上颜色分析 AJ4r/b} 脚本代码 ;&7,73! |=,83,a Option Explicit 'Remove this to enable non-dimensioned variables to be used. wEK%T P4 (7 ijt Dim entity As T_ENTITY Xvq^1Y? Dim op As T_OPERATION l<n5gfJ Dim mat As T_MODELMATERIAL \AHY[WKx Dim A As Double Za9$Hh/X Dim pupilDiam As Double x i.IRAZX Dim eID As Long p70,\&@3 Dim parID As Long ~ ;XYwQ" Dim count As Integer l-MxLcz Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double F1\`l{B,\ Dim tlens As Double, nlens As Double O*ImLR)i+s Dim curv As Double, conic As Double Y@ObwKcG Dim ok As Long m6eFXP1U "kU>~~y, Sub Main -3\7vpcdN To">DOt '用户输入对话框 UIz:=DJ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 QjqBO+ TextBox 220,21,40,21,.TextBox1 'default: 0 + q
l Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 Y[h#hZ OKButton 40,91,90,21 /'mrDb_ip CancelButton 190,91,90,21 :TlAL#
s& Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 NA=#>f+U% TextBox 220,49,40,21,.TextBox2 'default: 4 6SV7\,2M End Dialog #>"}q3RO Dim dlg As UserDialog \a?K?v|8 ,zD_% ox ok = Dialog (dlg) 76$*1jB l:q8Pg) If ok=0 Then 'cancel button was pressed q[Vi[b^F Print "Execution cancelled." U>in2u9 End y&y/cML? End If \hrrPPD1z 5cgo)/3M@} 'Assign accommodation and pupil diameter & use defaults if field left empty qP&byEs" If dlg.TextBox1 = "" Then .uBO A = 0 'Default accommodation ):^ '/e Else 3;y_qwA A = CDbl(dlg.TextBox1) TR~|c|B End If z;[gEA+I %v_IX2' If dlg.TextBox2 = "" Then {s,^b|I2#U pupilDiam = 4 'Default pupil diameter eN2dy-0 Else (*MNox?w pupilDiam = CDbl(dlg.TextBox2) wL Y#dm End If ]GQv4-y D DQs42[ Print " " OI*ZVD)J Print "Accommodation = " & A & " Diopters" KS
b(R/T Print "Pupil Diameter = " & pupilDiam & " mm" 1B6C<cL:sU A%h~Z
a ' Calculate new parameters with accommodation ;]{{)dst taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness c6t2Q6zV '!Hhd![\=| Rant = 12.0 - 0.4*A 'Radius of anterior lens 7AI3|Ts]p CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens ``+c`F?5 P`p6J8}4 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens %)8d{1at CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens m dC`W&r sS-W~u|C tlens = 3.767 + 0.04*A 'Lens thickness y+?=E g CdDH1[J nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction kNRyOUy >vHH 'Adjust parameters to account for accommodation T_uNF8Bh 5.O-(eSa0& '************************************************************************* mPckf 'Aqueous thickness (Position of Lens) XIqv{w '************************************************************************* tB
GkRd! eID = FindFullName( "Geometry.Arizona Eye.Lens" ) Yr5iZ~V$ GetCustomElement eID, entity SrdE>fNbs &aY/eD parID = FindFullName( "Geometry.Arizona Eye" ) T}V7SD. D}mo\ ' Delete any shift(s) in z YfTd count = 0 4xv9a;fP While GetOperationCount(eID)>count EfFj!)fz GetOperation eID, count, op ]#vWKNv:; If op.Type="ShiftZ" Then \nC5 ,Rz DeleteOperation eID,count ^a086n count=count-1 ;:AG2zE! End If cC b>zI count=count+1 =>HIF#jU Wend ,D:iQDG^ yEE|e> 'Set new shift in 2~#ZO?jE6 op.Type = "ShiftZ" se~ *<5 op.val1 = taq 9+]ZH.(YE op.parent = parID :[A?A4l AddOperation eID, op D_O 5k|-V Print "Set aqueous humor thickness = " & taq-0.55 7J0 ^N7"o 7YMxr3F '************************************************************************* 1f+*Tmc5]Q 'Radius and conic constant of anterior lens !}iLO0 '************************************************************************* %T3j8fC{s eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) -X`~;=m>U GetConic eID, entity, curv, conic ;~}-AI- b%=1"&JI: SetConic eID, entity, 1/Rant, CCant \7|s$ XQ\ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant #rh0r` zd?bHcW/h '************************************************************************* c80
}1 'Radius and conic constant of posterior lens {;]uL`abi? '************************************************************************* j09mI$2y67 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 1joc<EI GetConic eID, entity, curv, conic p5lR-G O{;M6U8C\ SetConic eID, entity, 1/Rpost, CCpost JA}S{ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost F@>w&A~K VFe-#"0ZO '************************************************************************* Xulh.:N} 'Lens thickness (Position of posterior lens surface) )v*v '************************************************************************* gg lNpzj P Xyyyir{ parID = FindFullName( "Geometry.Arizona Eye.Lens" ) |usnY ~0VwF ' Delete any z-shift(s) /V#MLPA count = 0 0!3!?E < While GetOperationCount(eID)>count wo,""=l GetOperation eID, count, op Jm{As*W> If op.Type="ShiftZ" Then F!z! :yp DeleteOperation eID,count U92B+up- count=count-1 E'S<L|A/ End If k#l'ko/X count=count+1 5*G8W\
$ Wend =2ATqb"$w NTpz)R 'Set new z-shift r?Ev.m op.Type = "ShiftZ" ANA2S*r op.val1 = tlens *X-~TC0
[ op.parent = parID /t%"Dh8x AddOperation eID, op kw*Cr/'* Print "Set lens thickness = " & tlens #Pe\Z/ 4aIlzaA '************************************************************************* c]cO[T_gGa 'Lens index of refraction M]8eW '************************************************************************* Q%gY.n{= eID = FindMaterial( "Lens" ) hEdo,gF* GetModelMaterial eID, mat 1CF7 ZI#SYEF6 mat.Nd = nlens C%x(`S^/ SetModelMaterial eID, mat
6Dr$*9 Print "Set lens index of refraction = " & nlens L!G9O]WB 7|{%CckN
'************************************************************************* l(0&6ENyj 'Pupil diameter <.y^ '************************************************************************* p ] $ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 9M-NItFos NO0[`jy( 'Adjust pupil diameter (trimming volume inner hole) 37ri b d-A%ZAkE] SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 0qaG#&! -\sKSY5{R ' Adjust pupil location to just in front of the lens g,z&{pZch parID = FindFullName( "Geometry.Arizona Eye" ) ~gzpX,{n eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) nvUkbmZG# count = 0 Is,*qrl : While GetOperationCount(eID)>count +Qb2LR GetOperation eID, count, op 0SGczgg If op.Type="ShiftZ" Then c'wU O3S DeleteOperation eID,count 7W>}7 count=count-1 ' /@!"IXz End If G`3vH, count=count+1
=t>`<T|( Wend .J7-4 op.Type = "ShiftZ" $F
/p8AraK op.val1 = taq-0.01 +kdU%Sm op.parent = parID .+yJh AddOperation eID, op FdK R{dX} ggYIq*4 Print "Set pupil diameter = " & pupilDiam c,u$tnE) 5qODS_Eq 'Update AZ Eye subassembly Description Zj /H3,7 eID = FindFullName( "Geometry.Arizona Eye" ) =f{Z~`3 GetEntity eID, entity \-`oFe" entity.Description = "Accommodation = " & A & "D" A.'`FtV SetEntity eID, entity =tvm= ^PCL^]W Update @_tA"E Print "DONE!" 5kL# V J4R End Sub ph|2lLZ *rMN,B@ 如果屈光度是4,光瞳直径是4,则会输出如下数据: ^_#gIT\ "~,(Xa3x Accommodation = 4 Diopters CBgFB-!qpe Pupil Diameter = 4 mm ?;r7j V/`j Set aqueous humor thickness = 2.81 Q*{ H] Set anterior lens radius = 10.4 and conic constant = -2.375869 ":#A>L? l Set posterior lens radius = -4.424557 and conic constant = -3.081019 f@V{}&ZWp Set lens thickness = 3.927 ^
8Nr %NJ Set lens index of refraction = 1.42672 e715)_HD Set pupil diameter = 4 [4(A458H DONE! eVbh$cIrZ IEKX'+t' )~o`QM+ QQ:2987619807 [7t0[U~3?
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