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2 *!%lBt{2 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。 IdQ./@? * :O"R 模型 gxN>q4z Zge(UhZ 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。 |M7cB$y ]3rVULU"K- Table 1. AZ眼睛模型的定义 x;17}KV 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. }5-w,m{8/ Ttt'X<9 光源 5J10S JVYH b 60Z 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 q.c)>=!. BDTL5N 9 3>4n\ 图1. 光源和提示信息使用 d~Z\%4 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 rZ~w_DK* 2yZr!Rb~* 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 E5w;75, iQ;p59wSzL 图2. 字母F光源的设定方法光 J;C:nE|V
m^k0j/ 图3. 字母F在视网膜上位置点列图 p+CUYo( 视网膜的散射 `#N/]4(j ,%M[$S' 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。 ~SnUnNDm ` U ? +_\ #z|Q $ 图4. 视网膜朗伯散射设定 UFG_ZoD+ 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。 {KG 6#/%; yD7BZI
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e(a 图5. 视网膜重点采样规格设定 s6!6Oqh 脚本 qN $t_ S/nPK,^d2 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: EY,jy]|# ,`@pi@<"# 图6. 用户对话框的创建与编辑 558P"w0"X 图7. 用户对话框编辑器 [9 W@<p 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 eU[g@Pq:Y 余下的脚本计算与屈光度有关的所有参数。 fpD$%.y'J zLpCKndj 分析 O
G`8::S tyu@aCK 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 jJy:/!i rbZbj# 图7. 字母F在视网膜上颜色分析 M:S-%aQ_<y 脚本代码 F (*B1J2_g \|]mClj# Option Explicit 'Remove this to enable non-dimensioned variables to be used. Nep4J; 6b2UPI7m~ Dim entity As T_ENTITY k }=<51c Dim op As T_OPERATION x:|Y)Dn\ Dim mat As T_MODELMATERIAL I//=C6 Dim A As Double apvcWF% Dim pupilDiam As Double <ql,@*Y Dim eID As Long =]Wi aF Dim parID As Long (}: s[cs Dim count As Integer 5E]t4" Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double at: li Dim tlens As Double, nlens As Double d1b]+A G4 Dim curv As Double, conic As Double c{z$^)A/ Dim ok As Long ekM?
'9ez Cp8=8N(Xb Sub Main [q<'ty E+f)Zg
: '用户输入对话框 XYEwn_Y Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 $Ome]+0 TextBox 220,21,40,21,.TextBox1 'default: 0 #Y'eS'lv4 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 d2rs+- OKButton 40,91,90,21 $v^hzC CancelButton 190,91,90,21 !?2)apM Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 T$4{fhV
\ TextBox 220,49,40,21,.TextBox2 'default: 4 .iXN~*+g End Dialog ]c.w+< Dim dlg As UserDialog
Ei;tfB y.r N( ok = Dialog (dlg) IGlR,tw_/ )!T~l(g If ok=0 Then 'cancel button was pressed iI3:<j
l Print "Execution cancelled." 2]>O ZhS End U{U"%XdO End If S;|:ci<[= (3#PKfY+ 'Assign accommodation and pupil diameter & use defaults if field left empty +>$]leqa If dlg.TextBox1 = "" Then p>6`jr A = 0 'Default accommodation ZnG.::&: Else 6Rc=!_v^ A = CDbl(dlg.TextBox1) { e|qQ4~h End If K_7pr~D]@r F3tps
jQ If dlg.TextBox2 = "" Then *@U{[J pupilDiam = 4 'Default pupil diameter ^ Ltho` Else H;H=8' pupilDiam = CDbl(dlg.TextBox2) Fn4v/)*H End If f5jl$H. Q$jEmmm%V[ Print " " aZfMeW Print "Accommodation = " & A & " Diopters" ?J}Q&p. Print "Pupil Diameter = " & pupilDiam & " mm" 7)66e / 3A6xPOg ' Calculate new parameters with accommodation v4$/LUJZp taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness R4?>C-; kaG/8G( Rant = 12.0 - 0.4*A 'Radius of anterior lens NBikYxa CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens h
><Sp*z_V LPk@t^[ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens TP }a9-9? CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens kfy!T rf 4S_ -9&z tlens = 3.767 + 0.04*A 'Lens thickness &|yLTx @AyteHK
nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction a#oROb-*~ |s8N 'Adjust parameters to account for accommodation &|v) 4{VO:(geZ '************************************************************************* >{#JIG. 'Aqueous thickness (Position of Lens) .RD<]BxJ '************************************************************************* 4l D$'` eID = FindFullName( "Geometry.Arizona Eye.Lens" ) (In{GA7; GetCustomElement eID, entity _O9V"DM 3Ax'v|&Hg parID = FindFullName( "Geometry.Arizona Eye" ) U82a]i0 B(Sy.n ' Delete any shift(s) in z %X}ZX|{ O count = 0 $d?+\r:I{, While GetOperationCount(eID)>count /:dLqyQ_V GetOperation eID, count, op `~1!nfFD If op.Type="ShiftZ" Then k.J%rRneN DeleteOperation eID,count ]#/nn),Z count=count-1 `e[S Zj\ End If C]^Ep count=count+1 kY0HP a Wend [%W'd9`> 7qKz_O 'Set new shift in 2e48L677- op.Type = "ShiftZ" QcegT/vO op.val1 = taq %?~'A59 op.parent = parID s%[F,hQRk AddOperation eID, op %6K7uvTq Print "Set aqueous humor thickness = " & taq-0.55 ,'L>:pF3 q0sf\|'<} '************************************************************************* 8}/DD^M 'Radius and conic constant of anterior lens Vk5Z[w a '*************************************************************************
hfB$4s9 eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ;(Yb9Mr)z GetConic eID, entity, curv, conic A40DbD\^ad qGk+4 yC SetConic eID, entity, 1/Rant, CCant d^=BXCoC Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant >P6"-x,[" ]8G 'R-8} '************************************************************************* l;8t%JV5 'Radius and conic constant of posterior lens )f8>kz( '************************************************************************* u6iW1,# eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) bG;fwgAr GetConic eID, entity, curv, conic @T1G#[C~t kG^76dAQL SetConic eID, entity, 1/Rpost, CCpost q^X7x_ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost GwWK'F'2 _~FfG!H ^X '************************************************************************* (leX` SN0u 'Lens thickness (Position of posterior lens surface) #qRoTtMq7 '************************************************************************* (P>nA3:UXB ct+F\:e parID = FindFullName( "Geometry.Arizona Eye.Lens" ) G?Et$r7:R LKN7Lkl ' Delete any z-shift(s) 7UTfafOGX count = 0 kBUkE-~ While GetOperationCount(eID)>count A|biOz GetOperation eID, count, op f \&X$g If op.Type="ShiftZ" Then v>X!/if<y DeleteOperation eID,count D]]e6gF$e count=count-1 lZzW-
%K End If y4\X~5kU count=count+1 $q!A1Fgk0 Wend
e=]SIR()` jaS<*_~#R 'Set new z-shift Y:*% [\R op.Type = "ShiftZ" M1jT+ op.val1 = tlens :s)cTq| 3 op.parent = parID KGt: AddOperation eID, op &X4anH>O Print "Set lens thickness = " & tlens 2H%9l@}u Ir;JYY!0? '************************************************************************* ^}
{r@F 'Lens index of refraction IIk_!VzT '************************************************************************* ?XKX&ws eID = FindMaterial( "Lens" ) T CT8OU| GetModelMaterial eID, mat pl8b&bLzi |n_N.Z mat.Nd = nlens <Bo\a3Z SetModelMaterial eID, mat HDm]njF%qQ Print "Set lens index of refraction = " & nlens . _+cvXy DJGafX^ '************************************************************************* .Ys
e/oEo 'Pupil diameter '}agi.z '************************************************************************* kBP?_ O eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) .AN1Yt MqJTRBs% 'Adjust pupil diameter (trimming volume inner hole) &5
7c!) V|Bwle SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" l|q-kRRjn x,nl PU ' Adjust pupil location to just in front of the lens Mi]^wCF parID = FindFullName( "Geometry.Arizona Eye" ) F .S^KK eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ~[=<Os count = 0 tSy 9v While GetOperationCount(eID)>count %oBP6|e GetOperation eID, count, op [kg^S`gc# If op.Type="ShiftZ" Then u|KjoO
DeleteOperation eID,count 8Z!%rS count=count-1 Wvl~|Sx] End If loA/d count=count+1 {@X>!] Wend ByY^d#oE op.Type = "ShiftZ" 2:
QT`e& op.val1 = taq-0.01 ByqVNz0L op.parent = parID ,nf}4 AddOperation eID, op #cQ5-R-1 I`{3I-E Print "Set pupil diameter = " & pupilDiam ^i@anbH _l{~O
'Update AZ Eye subassembly Description 2l?^\9& eID = FindFullName( "Geometry.Arizona Eye" ) O=__w *< GetEntity eID, entity 2G.y.#W entity.Description = "Accommodation = " & A & "D" Z9: SetEntity eID, entity 3cHYe <M9NyD` Update $WIE`P% Print "DONE!" GZO:lDdA WIU]>_$. End Sub pW+uVv, ;_\yg)X, 如果屈光度是4,光瞳直径是4,则会输出如下数据: h: yJ D%+yp Accommodation = 4 Diopters }etdXO_^ Pupil Diameter = 4 mm ?Uq"zq Set aqueous humor thickness = 2.81 :G>w MMv&z Set anterior lens radius = 10.4 and conic constant = -2.375869 t]I9[5Pq\ Set posterior lens radius = -4.424557 and conic constant = -3.081019 'goKYl#1Q Set lens thickness = 3.927 KBM*7raA Set lens index of refraction = 1.42672 *AV%= Set pupil diameter = 4 C u` DONE! % PzkV s
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