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,<\d7 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。 ]mXLg:3B BC;: 模型 e$uiJNS2 @L:>!< 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。 JA_BKA SdwS= (e6 Table 1. AZ眼睛模型的定义 VA%Un,5h 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. [mr9(m[F n[,w f9 光源 R
&4Z*?S *(>}Y 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。 `VL}.h !\;FNu8_. {]]|5
\F 图1. 光源和提示信息使用 U(;&(W"M
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。 ]UG*r%9 wL^%w9q- 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。 NwR}yb6 TbF4/T1b 图2. 字母F光源的设定方法光 W|,V50K &"mzwQX 图3. 字母F在视网膜上位置点列图 tpTAeQ*:d 视网膜的散射 TSsKfexQ @b3#X@e} 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。 cl*PFQp9j wgRsZ @(i!YL 图4. 视网膜朗伯散射设定 @hImk`&[N 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。 BMIyskl=i 9A7@
5F z5X~3s\dP 图5. 视网膜重点采样规格设定 /Y2/!mU</ 脚本 (x$9~;<S*d }O4se"xK 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: `g1iCF AisN@ 图6. 用户对话框的创建与编辑 *VkgQ`c 图7. 用户对话框编辑器 7RvUH-S[ 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 6 Ik,zQL 余下的脚本计算与屈光度有关的所有参数。 DK&h
eVIoZ m G1IQ! 分析 sW^a`VM KYxBVgJ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 >u(>aV|A eb8w~ 图7. 字母F在视网膜上颜色分析 a%Jx
`hx 脚本代码 9lo[&^< 9ElCg" Option Explicit 'Remove this to enable non-dimensioned variables to be used. VNtPKtx\ Sj(F3wY Dim entity As T_ENTITY M}hrO-C Dim op As T_OPERATION w_iam qe, Dim mat As T_MODELMATERIAL Bz`yfl2 Dim A As Double fXQiNm[P Dim pupilDiam As Double RP`2)/sMT Dim eID As Long ,s^<X85gp\ Dim parID As Long Bfv.$u00p Dim count As Integer J%]D%2vnk` Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double #9LzY
Dim tlens As Double, nlens As Double d'9:$!oz Dim curv As Double, conic As Double FCc=e{ Dim ok As Long 3v!~ cC~cI D["MUB4l Sub Main -NBiW6b~ vG2b:[W '用户输入对话框 GW2')}g Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 U~2`P TextBox 220,21,40,21,.TextBox1 'default: 0 #m8sK(#lo Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 wn11\j& OKButton 40,91,90,21 b r,+45: CancelButton 190,91,90,21 ;#G%U!p Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 :<~7y.*O{ TextBox 220,49,40,21,.TextBox2 'default: 4 $YG1z End Dialog sst,dA V$ Dim dlg As UserDialog <Jp1A#
%p #rYENR[ ok = Dialog (dlg) |@o6NZ<9N ;S/7 h6 If ok=0 Then 'cancel button was pressed Jll-X\O`- Print "Execution cancelled." nD,{3B#
End *,\` o~ End If .%0ne:5 9|S` ub' 'Assign accommodation and pupil diameter & use defaults if field left empty qSO*$1i If dlg.TextBox1 = "" Then X^@[G8v% A = 0 'Default accommodation ]5v:5:H Else 8Xm@r#Oy5 A = CDbl(dlg.TextBox1) cQFR]i End If ZcryAm:I M}.b"
ljZ If dlg.TextBox2 = "" Then rvwy~hO" pupilDiam = 4 'Default pupil diameter s!6=|SS7 Else ;~sr$6 pupilDiam = CDbl(dlg.TextBox2) wh~sZ End If N)43};e wy4q[$.4v Print " " 5su.+4z\ Print "Accommodation = " & A & " Diopters" ibF#$&! Print "Pupil Diameter = " & pupilDiam & " mm" iY.eJlfH +|C[-W7Sw ' Calculate new parameters with accommodation Ud3""C5B taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness S>ugRasZ$ MMD<I6Iyv Rant = 12.0 - 0.4*A 'Radius of anterior lens H|+tC=]4IZ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens BQjam+u6 (Imp
$ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens c#q"\" CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens S]yvMj_? DA
LQ<iF tlens = 3.767 + 0.04*A 'Lens thickness DcFCKji u;n(+8sz nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction mTEVFm 'H=weH 'Adjust parameters to account for accommodation ~5t?C<wo o?!uX|Fy '************************************************************************* =FBIrw{w 'Aqueous thickness (Position of Lens) bc}dYK3$q '************************************************************************* 0:dB
9 eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ?*K<*wBw# GetCustomElement eID, entity YIDg'a+z &LU'.jY parID = FindFullName( "Geometry.Arizona Eye" ) (G5xkygR9 #O</\|aH)i ' Delete any shift(s) in z <-|SIF count = 0 g[!Cj, While GetOperationCount(eID)>count glor+ GetOperation eID, count, op L<@&nx If op.Type="ShiftZ" Then [~?M/QI9 DeleteOperation eID,count caD5Pod4 count=count-1 $GF&x>]] End If #^\}xn"[ count=count+1 6`"ZsO Wend #'NY}6cb$ A[ 1)!e 'Set new shift in +{xG<Wkltz op.Type = "ShiftZ" tQ0=p|
T] op.val1 = taq lS3 _Ild op.parent = parID B,0+HoP AddOperation eID, op 3o7xN=N Print "Set aqueous humor thickness = " & taq-0.55 |E|T%i^}./ f%1wMOzx '************************************************************************* B*Cb6'Q 'Radius and conic constant of anterior lens +UaO<L
'************************************************************************* &enlAV'#)O eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) e3rfXhp GetConic eID, entity, curv, conic nh|EZp] -4`sqv ] SetConic eID, entity, 1/Rant, CCant 2))t*9;h Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 'WzUu MCx u~)%tL '************************************************************************* y7;
5xF?q 'Radius and conic constant of posterior lens s7Qyfe&> '************************************************************************* Wy,"cT eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) *cy.*@d GetConic eID, entity, curv, conic T`mEO\f f<=^ 4a SetConic eID, entity, 1/Rpost, CCpost w}b<D#0XC Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost eHROBxH& Deog4Ol"/ '************************************************************************* }1\?()rB 'Lens thickness (Position of posterior lens surface) a}GAB@YI '************************************************************************* Qf~| S9, |Rk37P{ parID = FindFullName( "Geometry.Arizona Eye.Lens" ) PoY>5 "9u-lcQ\
' Delete any z-shift(s) m^c%]5$ count = 0 ty9rH=1 While GetOperationCount(eID)>count %)dI2 J^Xf GetOperation eID, count, op %8g$T6E[<2 If op.Type="ShiftZ" Then ev*c4^z:s DeleteOperation eID,count ,iohfZz count=count-1 5A;"jp^ Z End If 1S^'C2/b count=count+1 $;ch82UiX Wend *\C}Ok= yvS^2+jW 'Set new z-shift uq]iMz> op.Type = "ShiftZ" 3lyQn" op.val1 = tlens w4`!Te op.parent = parID -D$3!ccX AddOperation eID, op dY 6B%V Print "Set lens thickness = " & tlens frk7^5 dkf}),Z F '************************************************************************* oNrEIgaA(+ 'Lens index of refraction DwT i_8m; '************************************************************************* -aA<.+ eID = FindMaterial( "Lens" ) '>"`)- GetModelMaterial eID, mat M44_us 2}ag_ mat.Nd = nlens kzW\z4f SetModelMaterial eID, mat R+k=Ea&x Print "Set lens index of refraction = " & nlens ~igRg~k:/ R<_mK33hd '************************************************************************* uFMs^^# 'Pupil diameter f*UBigk '************************************************************************* W&WB@)ie eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) XlE$. gjO
*h3` 'Adjust pupil diameter (trimming volume inner hole) %+/f'6kR OE5 X8DqQe SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" iM4mkCdOO |>M-+@gj ' Adjust pupil location to just in front of the lens aS3P(s L parID = FindFullName( "Geometry.Arizona Eye" ) (Be$$W eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) aA7S'[NjB count = 0 K
lPm= While GetOperationCount(eID)>count ::kpl2r\c GetOperation eID, count, op 27}.s0{D If op.Type="ShiftZ" Then wEZqkV DeleteOperation eID,count ~:R4))qpg count=count-1 :Fw *r| End If 6(!,H<bON count=count+1 B/kcb(5v Wend :zRB)hd op.Type = "ShiftZ" k?!TjBKm op.val1 = taq-0.01 ")fOup@ ^a op.parent = parID ,^UcRZ8.H AddOperation eID, op 3 (Gygq# x(exx
)w Print "Set pupil diameter = " & pupilDiam 1uK)1%vK }M;sz 'Update AZ Eye subassembly Description F Bd+=bx,Z eID = FindFullName( "Geometry.Arizona Eye" ) yz54:q? GetEntity eID, entity M80}3mgP~ entity.Description = "Accommodation = " & A & "D" [YL sEo= SetEntity eID, entity &Z;Eu'ia ^!zJf7(+<> Update c80"8r Print "DONE!" D'U\]'. "j*fVn End Sub RlG'|xaT UHTb61Gs 如果屈光度是4,光瞳直径是4,则会输出如下数据: s?1-$|* 0j-F6a*p'1 Accommodation = 4 Diopters Pl`Bd0 Pupil Diameter = 4 mm n^g-` Set aqueous humor thickness = 2.81 <v1_F;{n Set anterior lens radius = 10.4 and conic constant = -2.375869 s (l+{b & Set posterior lens radius = -4.424557 and conic constant = -3.081019 [346w
< Set lens thickness = 3.927 zIX}[l4EW~ Set lens index of refraction = 1.42672 ?j},O=JFn Set pupil diameter = 4 Y9lbf_51 DONE! 6|>"0[4S
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