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简介 z7$}#)Z7 :Q#H(\26r 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。 n
K0hTQ iqlVlm>E 模型 a#6,#Q" :'b%5/ ^q 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。 8Y]}Gb! _.hIv8V Table 1. AZ眼睛模型的定义 qFGB'mIrFz 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. zh
hGqz[K 2tlO"c:_/ 光源 \c'%4Ao TyyRj4> 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。 gtl;P_ I[a%a!QO /!o1l\i=5 图1. 光源和提示信息使用 (#lm#?<) 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。 012:BZR aq$62>[ 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 2@OBeR orK +B4 图2. 字母F光源的设定方法光 ge@reGfsB1 .w=:+msL{( 图3. 字母F在视网膜上位置点列图 {!>E9Px 视网膜的散射 Z@8MhJ sd]0Hx[ 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 W=(MsuirO CrT2#h 1# Ig='a"% 图4. 视网膜朗伯散射设定 2M5*bNU_: 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 o4U]lK$ h7)VJY u_hE7#i 图5. 视网膜重点采样规格设定 ,OFq'}q 脚本 /,-h%gj ;N9n'Sq4 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: ye56-T n^3NA|A 图6. 用户对话框的创建与编辑 nDwq!LEx%5 图7. 用户对话框编辑器 o$^O<z L 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 1NB2y[ 余下的脚本计算与屈光度有关的所有参数。 )+VHt
B=r]_&u-u 分析 AD0ptHUBa 0#2T0zk 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 i,C0o UA1]o5K 图7. 字母F在视网膜上颜色分析 Y8{T.\%\+ 脚本代码 M^!C?(Hx^x iDyMWlV Option Explicit 'Remove this to enable non-dimensioned variables to be used.
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bp#1KR) \a9D[wk;@ Dim entity As T_ENTITY MxFt;GgE8 Dim op As T_OPERATION qBf wN 1 Dim mat As T_MODELMATERIAL _3-RoA'UZr Dim A As Double 2D\x-!l/ Dim pupilDiam As Double rQ9?N^&!% Dim eID As Long (xjoRbU* Dim parID As Long wliGds Dim count As Integer #3 }5cC8_ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double
<Hq6]\< Dim tlens As Double, nlens As Double mgJ]@s}9 Dim curv As Double, conic As Double ui0J}DM Dim ok As Long \#IJ=+z G!>
iqG Sub Main BWqik_ 1"~O"m sb '用户输入对话框 \.XT:B_ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 QSl:=Q' TextBox 220,21,40,21,.TextBox1 'default: 0 24.7S LXO Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 `2Z4#$. OKButton 40,91,90,21 3> n2 CancelButton 190,91,90,21 kHz+ZY<? Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 c1Fru TextBox 220,49,40,21,.TextBox2 'default: 4 *_<SWTE End Dialog YFC0KU Dim dlg As UserDialog Wfi:wCqZG E#&c]9QM75 ok = Dialog (dlg) { c6DT [TpA26#TTO If ok=0 Then 'cancel button was pressed tq4"QBIKh Print "Execution cancelled." ouu-wQ|(mM End xC=3|,U End If X=*Yzz} )\:lYI}Wpm 'Assign accommodation and pupil diameter & use defaults if field left empty y5Z<uwXc If dlg.TextBox1 = "" Then
8E.5k@ A = 0 'Default accommodation }tl8(kjm Else 0|wKR|zW A = CDbl(dlg.TextBox1) Np5/lPb1 End If ,_TH@0{ _z"ci$[ If dlg.TextBox2 = "" Then D
KMbs pupilDiam = 4 'Default pupil diameter k7Be'E
BKG Else <*~BG)b pupilDiam = CDbl(dlg.TextBox2) Cs6zv>SR End If u\Erta` CoKj'jA Print " " X<@y*?D9D Print "Accommodation = " & A & " Diopters" sWpRX2{5, Print "Pupil Diameter = " & pupilDiam & " mm" JE8p5WaR VK@i#/jm ' Calculate new parameters with accommodation `hQ!*f6 taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ^r?sgJ h#6 jUQ Rant = 12.0 - 0.4*A 'Radius of anterior lens HnKF#<
CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens V]CK' ZF11v(n Rpost = -5.224557 + 0.2*A 'Radius of posterior lens yg]nS<K~4 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 07G*M ] |
xErA tlens = 3.767 + 0.04*A 'Lens thickness Ry*I~<m Ws}kb@5 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction "n2xn%t{ VdN+~+A: 'Adjust parameters to account for accommodation l7r N
g`f6gxc '************************************************************************* JNA}EY^2I. 'Aqueous thickness (Position of Lens) M $5%QM} '************************************************************************* +h\W~muR eID = FindFullName( "Geometry.Arizona Eye.Lens" ) <=GzK:4L GetCustomElement eID, entity @gVyLefS6g \"sSS.' parID = FindFullName( "Geometry.Arizona Eye" ) q.hc%s2? Xta> ' Delete any shift(s) in z HDae_. count = 0 j/` qd(=B While GetOperationCount(eID)>count A1 s=;qr GetOperation eID, count, op NcY0pAR* If op.Type="ShiftZ" Then x#}eC'Q DeleteOperation eID,count N=?kEX
O count=count-1 tEs[zo+DR- End If (A<sFw? count=count+1 L|xen*O Wend 3x;y}:wQa @ 6V H% 'Set new shift in u g$\&rM> op.Type = "ShiftZ" dmMr8-w op.val1 = taq r(xlokpnb6 op.parent = parID V;+$/>J`vB AddOperation eID, op f8_UIdM7 Print "Set aqueous humor thickness = " & taq-0.55 z%gtV' -D^y)
'************************************************************************* nJ0eZBgB] 'Radius and conic constant of anterior lens $(mdz)Cfy '************************************************************************* {*r$m>HpM eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) E1 gTrMo GetConic eID, entity, curv, conic ~9'4w-Sy 3[O =2 SetConic eID, entity, 1/Rant, CCant 7(+ZfY~w" Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 3usA bqwW9D( '************************************************************************* rZCAj 'Radius and conic constant of posterior lens WuQ<AS= '************************************************************************* ~ z&A eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Am`A[rV0 GetConic eID, entity, curv, conic )B5gs%u]
G?1V~6 SetConic eID, entity, 1/Rpost, CCpost I)/7M}t` Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost %oKc?'L0 V+<AG*[ '************************************************************************* {-]HYk 'Lens thickness (Position of posterior lens surface) GyM%vGl
3 '************************************************************************* 5i-;bLm
o*ED!y7 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) |[7$) $ 1,!\7@<CT ' Delete any z-shift(s) 92ww[+RQ@ count = 0 6@*;Wk~ While GetOperationCount(eID)>count 4bjp*1 *] GetOperation eID, count, op 2o}G<7r If op.Type="ShiftZ" Then ph (k2cb DeleteOperation eID,count l*MUDT@M8\ count=count-1 Gqb-3ngH End If GYmB xX87 count=count+1 9nAK6$/ Wend SJ_cwYwI$ W_n.V" hN 'Set new z-shift &UH z op.Type = "ShiftZ" DH*|>m& op.val1 = tlens uB"m!dL op.parent = parID .vF<3p| AddOperation eID, op )7mJ+d[ Print "Set lens thickness = " & tlens ,$ret@.H {+mkXp])R '************************************************************************* L"<Eov6 'Lens index of refraction ;pK"N:| '************************************************************************* CKw)J}z eID = FindMaterial( "Lens" ) Lk+1r8 GetModelMaterial eID, mat 5kZ yiC* CPE
F,,\ mat.Nd = nlens a8P6-)W SetModelMaterial eID, mat QHz76i!=> Print "Set lens index of refraction = " & nlens 7%}}m&A7h \-id[zKb '************************************************************************* )cBV;
E< 'Pupil diameter U4pvQE.m< '************************************************************************* qz SI cI eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) #e|kA&+8M BV:,bS 'Adjust pupil diameter (trimming volume inner hole) 5i&V ~G KA2B3\ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ?kefRev<#h n=MYv(Pp} ' Adjust pupil location to just in front of the lens 4
V*)0?oYE parID = FindFullName( "Geometry.Arizona Eye" ) 3`q`W9 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) `W S
count = 0 DQQjx>CK While GetOperationCount(eID)>count $X]v;B)J| GetOperation eID, count, op \{mJO>x If op.Type="ShiftZ" Then EmoU7iy DeleteOperation eID,count d0,F'?.0| count=count-1 dPX>A4wp End If 0R%58,R count=count+1 ,gD i)] Wend E#]%e^ op.Type = "ShiftZ" {<8#T`I op.val1 = taq-0.01 bJ}+<## op.parent = parID tTamFL6 AddOperation eID, op ]gk1h=Y~h QX|K(`of Print "Set pupil diameter = " & pupilDiam @SB+u+mOS DZZt%n8J 'Update AZ Eye subassembly Description )j*qGsOg eID = FindFullName( "Geometry.Arizona Eye" ) LvdMx]*SSr GetEntity eID, entity y>PbYjuIU entity.Description = "Accommodation = " & A & "D" "G(/MT^C SetEntity eID, entity 1nmWL0 t$|6}BX Update aoX$,~oI5 Print "DONE!" 6*Qpq7Ml Rgu^>
~ End Sub =0Sa mg]dK p 如果屈光度是4,光瞳直径是4,则会输出如下数据: xn[di-LF 9$i`B>C~ Accommodation = 4 Diopters A/aQpEb% Pupil Diameter = 4 mm #1k,t Set aqueous humor thickness = 2.81 T]`"
Xl8 Set anterior lens radius = 10.4 and conic constant = -2.375869 WLb7]rCTp Set posterior lens radius = -4.424557 and conic constant = -3.081019 j=4>In?x Set lens thickness = 3.927 `6su_8Hno Set lens index of refraction = 1.42672 2Mp;/b! Set pupil diameter = 4 _>I5Ud8(- DONE! LPF?\mf ^4
`SrVMb( _A*0K,F- QQ:2987619807 2ra4t]f6
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