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简介 P,[O32i# P5*~Wi` 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。 :W\xZ MXj7Z3 模型 <Y9xHn& Q/,jv5 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。 <
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M wvj Table 1. AZ眼睛模型的定义 1L=6Z2*fB4 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. u0(PWCi2 :uD*Q/ 光源 0`
{6~p @!:~gQ 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。 DGwN*>X j5EZJ` hF!t{ Lf3 图1. 光源和提示信息使用 ~Zc=FP:1 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。 y2U^7VrO 2y&m8_s-p 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。 s=+,F<;x.U cv b:FK 图2. 字母F光源的设定方法光 R`F54?th Qw ukhD7 图3. 字母F在视网膜上位置点列图 KKd Sh1 视网膜的散射 4Em mh=A y0d a8sd) 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。 dT%$"sj5 =Kv*M@ ^0/FZ)V8 图4. 视网膜朗伯散射设定 ?Sq?f? 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 6_m5%c~;+r }jQxwi) hy"O_Le 图5. 视网膜重点采样规格设定 <#s=78
g.3 脚本 * ?a-m\ cViEvS r 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: -Cjc~{B>7X MqBA?7 图6. 用户对话框的创建与编辑 s:y~vd(Vi 图7. 用户对话框编辑器 (RR:{4I 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 G/nSF:r p 余下的脚本计算与屈光度有关的所有参数。 :@:i*2= hpD\, 分析 :Rh?#yO5 d;3/Vr$t= 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 }7>r, 0^41dfdE 图7. 字母F在视网膜上颜色分析 S`oADy 脚本代码 lLO|, 7cGc`7 Option Explicit 'Remove this to enable non-dimensioned variables to be used. /STFXR1@.u ZqhCGHy Dim entity As T_ENTITY j {w'#x, Dim op As T_OPERATION e`pYO]Z Dim mat As T_MODELMATERIAL |gvx^)ro Dim A As Double }Fd4;
] Dim pupilDiam As Double y9cDPwi:b Dim eID As Long !o+Y"* / Dim parID As Long 9E/{HNkf Dim count As Integer mXd,{b' Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double qB57w:J Dim tlens As Double, nlens As Double <9JI@\> Dim curv As Double, conic As Double *9#6N2J$M Dim ok As Long mRe BS M ABrf`<b Sub Main S+^*rw uD=i-IHT '用户输入对话框 v71j1Q}6 Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 u^DfRd&P0 TextBox 220,21,40,21,.TextBox1 'default: 0 kdVc;v/5 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 l<5@a
( OKButton 40,91,90,21 ;GW[Yw>Rz CancelButton 190,91,90,21 d"K~+<V} Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 {tUjUwhz( TextBox 220,49,40,21,.TextBox2 'default: 4 #wXq'yi End Dialog `mar-r_m Dim dlg As UserDialog 'R&Y pR )-D{]>8 ok = Dialog (dlg) \J*~AT~5q ]ZV.@%+ If ok=0 Then 'cancel button was pressed .lclW0* Print "Execution cancelled." ?b?6/_W~R End Gwyjie 9t End If :ud<"I]: \ 5MD1r} 'Assign accommodation and pupil diameter & use defaults if field left empty h^yLmRL If dlg.TextBox1 = "" Then G(g`>' m A = 0 'Default accommodation /.54r/FN') Else i2. +E&3v A = CDbl(dlg.TextBox1)
-&N^S? End If 4R 9lA *C/bf)w If dlg.TextBox2 = "" Then 0GEM3~~D.? pupilDiam = 4 'Default pupil diameter 'R'P^ Else <>=A6 pupilDiam = CDbl(dlg.TextBox2)
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t End If 0;Lt ZDMv8BP7 Print " " =ttvC"4? Print "Accommodation = " & A & " Diopters" _ELuQ>zM]+ Print "Pupil Diameter = " & pupilDiam & " mm" iLQFce7d|& 6j*L]Sc ' Calculate new parameters with accommodation YJBlF2uD taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness <OX_6d *@ ZGILV Rant = 12.0 - 0.4*A 'Radius of anterior lens (T290a9y> CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens I},]Y~Y3 WJ%4IaT Rpost = -5.224557 + 0.2*A 'Radius of posterior lens )4nf={iM CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens I&2)@Zw XH^X4W tlens = 3.767 + 0.04*A 'Lens thickness ;Jh=7wx '?j[hhfB- nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction xIOYwVC q mJ#cmN 'Adjust parameters to account for accommodation HuVx^y`
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` R; '************************************************************************* c(@(j8@S 'Aqueous thickness (Position of Lens) y\a@'LFL '************************************************************************* 3shRrCL0mf eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ID{62>R GetCustomElement eID, entity %4bGI/\/ 9i6z p' parID = FindFullName( "Geometry.Arizona Eye" ) wwvS05=[T 71S~*"O0f ' Delete any shift(s) in z L1Hk[j]X| count = 0 dBWi1vTF While GetOperationCount(eID)>count ILN Yh3 GetOperation eID, count, op nj90`O.K If op.Type="ShiftZ" Then AVn?86ri DeleteOperation eID,count 3np |\i count=count-1 ?*{Vn5aX{ End If u&M:w5EM count=count+1 U4$}8~o4 Wend `G@(Z:]f,t n]3Lqe; 'Set new shift in sKg
IKYG}T op.Type = "ShiftZ" U"qR6 op.val1 = taq K2Z]MpLD op.parent = parID \!51I./Q/ AddOperation eID, op j1Ns|oph1 Print "Set aqueous humor thickness = " & taq-0.55 -`f 1l8LD2 S17iYjy#8T '************************************************************************* [=EmDP:@ 'Radius and conic constant of anterior lens q PveG1+25 '************************************************************************* KbXENz&C eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) *GZ7S
m GetConic eID, entity, curv, conic bMA\_? d`w3I`P1 SetConic eID, entity, 1/Rant, CCant .!`y(N0hc Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant pdw;SIoC j7XUFA '************************************************************************* fb=[gK#*, 'Radius and conic constant of posterior lens C:9a$ '************************************************************************* dED&-e# eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) VYo2m GetConic eID, entity, curv, conic (r9W[ Fkvf[!Ci SetConic eID, entity, 1/Rpost, CCpost zObrp Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost j^T
i6F>f s7Z+--I)L '************************************************************************* S^c;i 'Lens thickness (Position of posterior lens surface) )N'-Ap$g '************************************************************************* `Eg~;E: pba`FC4R parID = FindFullName( "Geometry.Arizona Eye.Lens" ) BO%aCK& Z,"f2UJ ' Delete any z-shift(s) kSfNu{YS count = 0 .4cVX|T While GetOperationCount(eID)>count EyDH-}Y GetOperation eID, count, op fG,)`[eD!_ If op.Type="ShiftZ" Then }2]m]D@%7 DeleteOperation eID,count FoW|BGA~ count=count-1 KsDovy< End If C}=9m
A count=count+1 Q/%]%d Wend ]kir@NMv> qa>H@`P 'Set new z-shift GlOSCJZ op.Type = "ShiftZ" 0%
zy 6{ op.val1 = tlens kQ99{lH,5 op.parent = parID dr gCr:Gf AddOperation eID, op [r0`D^*= Print "Set lens thickness = " & tlens e6i m_ Tk Vpe\Okt: '************************************************************************* ws([bS2h 'Lens index of refraction m85Hx1!p. '************************************************************************* d "%6S*dL eID = FindMaterial( "Lens" ) c>b{/92% GetModelMaterial eID, mat oIv\Xdc8 1 ^JY,K mat.Nd = nlens M`49ydh& SetModelMaterial eID, mat nc9sfH3 Print "Set lens index of refraction = " & nlens /4YxB, 7m.>2U '************************************************************************* L(q~% 'Pupil diameter [;pL15-}4 '************************************************************************* ^u+#x2$Mg eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ~F.kgX .!)i 'Adjust pupil diameter (trimming volume inner hole) X<<FS%:+ zrL +:/t SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" eE5j6`5i 560`R> ' Adjust pupil location to just in front of the lens 'j$n;3 parID = FindFullName( "Geometry.Arizona Eye" ) Ya29t98Pk eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) <T`&NA@%~$ count = 0 jL0=a.; While GetOperationCount(eID)>count 6^sH3=# GetOperation eID, count, op .W51Cup@& If op.Type="ShiftZ" Then *:Uq
;)* DeleteOperation eID,count I#:Dk?"O2 count=count-1 @y/!`Ziw End If }q=tg9 count=count+1 4O7
{a Wend ?>DwNz^.! op.Type = "ShiftZ" CE7{>pl op.val1 = taq-0.01 qkA8q@Y4| op.parent = parID w^^8*b< AddOperation eID, op .\7AJB\l Ge ?Q)N Print "Set pupil diameter = " & pupilDiam "J{A}g[ }oL
l?L 'Update AZ Eye subassembly Description M:t"is eID = FindFullName( "Geometry.Arizona Eye" ) >9,LN;Ic GetEntity eID, entity ke2}@|?t entity.Description = "Accommodation = " & A & "D" MogIQ SetEntity eID, entity l}~9xa}:D| Bej k^V~ Update I.- I4F)D Print "DONE!" _Jn@+NoO ss4YeZa End Sub 3/Dis)
v8 ;umbld0 如果屈光度是4,光瞳直径是4,则会输出如下数据: kC
iOcl*$ H`nd | Accommodation = 4 Diopters vT#m 8Kg Pupil Diameter = 4 mm ?nwg.&P Set aqueous humor thickness = 2.81 N>IkK*v Set anterior lens radius = 10.4 and conic constant = -2.375869 /Zg4JQ~ Set posterior lens radius = -4.424557 and conic constant = -3.081019 ,[[Xo;q Set lens thickness = 3.927 W?gelu] Set lens index of refraction = 1.42672 "DSRy D0M Set pupil diameter = 4 ^L-; S DONE! M%2w[<-8c
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