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简介 "8{#R*p &s.S)'l4l 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。 y7ng/vqM7 3o=R_%r 模型 CAX)AN IKT3T_\-I 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。 9$)I=Rpk= qx,>j4yw Table 1. AZ眼睛模型的定义 eEvE3=,hg 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. k/MrNiC F Xbf7G)H 光源 XcfvmlBoD- i,5mH$a&u: 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。 WCc7 MK .xnJT2uu' <Co\?h/< 图1. 光源和提示信息使用 Gt>*y.] 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。 R(jp O}Y& @V%4k 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。 kzq3-NTV Uy$1X 图2. 字母F光源的设定方法光 XxXMtiZ6 HV_5
+ 图3. 字母F在视网膜上位置点列图 8UY[$lc 视网膜的散射 /l o;:)AiP AUZ^XiK 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。 K"lZwU\:On b#ih=qE ;- ~}g 7$ 图4. 视网膜朗伯散射设定 'Z^-(xG,+ 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。 3zdm-5R.b -+9,RtHR7 > 93I|C| 图5. 视网膜重点采样规格设定 jIpc^iu`, 脚本 QU&LC re\pE2&B 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: 1|U8DK 7RE'KH_$ 图6. 用户对话框的创建与编辑 Pe-1o#7~W 图7. 用户对话框编辑器 1?6zsA%N 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。 3<c_`BWu 余下的脚本计算与屈光度有关的所有参数。 zTP|H5HyK ga BVD*> 分析 C"X; ,F< h!>K[* 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 |}hV_ >m66j2(H*Z 图7. 字母F在视网膜上颜色分析 nIWZo ~ 脚本代码 J0%e6{C1 YfB8
Option Explicit 'Remove this to enable non-dimensioned variables to be used. wtm= &\w:jI44Bs Dim entity As T_ENTITY m :M=De Dim op As T_OPERATION )I/K-zj Dim mat As T_MODELMATERIAL TOH!vQP Dim A As Double qKL:#ny Dim pupilDiam As Double 1$A7BP Dim eID As Long |3ob1/)p0 Dim parID As Long NG)Xk[q4 Dim count As Integer T~&9/%$F Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double oQsls9t Dim tlens As Double, nlens As Double Q^p>hda Dim curv As Double, conic As Double `Z)]mH\X Dim ok As Long GxFmw: J%|n^^ /un Sub Main )p?p39>h
d q.'[ '用户输入对话框 vCj,aSW Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 N,oN3mFF TextBox 220,21,40,21,.TextBox1 'default: 0 -D?-ctFYj^ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 @)iAV1r" OKButton 40,91,90,21 b ~5Q|3P 9 CancelButton 190,91,90,21 0vi)my;! Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ~a5-xWEZ TextBox 220,49,40,21,.TextBox2 'default: 4 #RN"Ul-B| End Dialog xoT|fgb Dim dlg As UserDialog szZ8-Y f>i" j ok = Dialog (dlg) bOvMXj/HV= ?H30 If ok=0 Then 'cancel button was pressed -JMlk:~ Print "Execution cancelled." v +$3Z5 End 3M@!?=|U End If 1kDr;.m% rzk]{W 'Assign accommodation and pupil diameter & use defaults if field left empty CcDi65s If dlg.TextBox1 = "" Then S*0P[R A = 0 'Default accommodation <"}Gvi Else Gdi8Al]\Nl A = CDbl(dlg.TextBox1) >U%:Nfo3 End If 2A,iY}R #0F6{&;
M If dlg.TextBox2 = "" Then QP%*`t? pupilDiam = 4 'Default pupil diameter 0QakFt Else M@wQ6ow pupilDiam = CDbl(dlg.TextBox2) cW|M4` End If *
11|P <D1>;C Print " " _7^4sR8= Print "Accommodation = " & A & " Diopters" (*X SrQ Print "Pupil Diameter = " & pupilDiam & " mm" DqQ+8 w 2)W~7GED ' Calculate new parameters with accommodation bAd$
>DI[ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness Y)7LkZO(y Y,
?- [] Rant = 12.0 - 0.4*A 'Radius of anterior lens ophQdJM CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens .3Ag6YI0N #&oL iz=hZ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens p1mY@[A CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens !.^%*6f VvS ^f tlens = 3.767 + 0.04*A 'Lens thickness 'TdO6-X X-mhz3Q&a nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction }2 X" +hW^wqk/. 'Adjust parameters to account for accommodation lY,dyNFHV #$dk '************************************************************************* ar!`8" 'Aqueous thickness (Position of Lens) 6Z,j^: B '************************************************************************* r\x"nS eID = FindFullName( "Geometry.Arizona Eye.Lens" ) kzUP
GetCustomElement eID, entity HK/T`p# B0&W wa: parID = FindFullName( "Geometry.Arizona Eye" ) |+|q`SwJ L6jD4ec8 ' Delete any shift(s) in z I8%2tLVY count = 0 fzhCV While GetOperationCount(eID)>count qa!3l b_'M GetOperation eID, count, op "j<l=l! If op.Type="ShiftZ" Then $v#\bqY DeleteOperation eID,count !-OPzfHrI count=count-1 RqenPMk End If |oL}c!0vs count=count+1 SD=kpf; Wend 3EHn}#+U F79!B 'Set new shift in i!U,qV1 op.Type = "ShiftZ" #*"5F* op.val1 = taq }CoR$K op.parent = parID foi@z9 AddOperation eID, op C'a%piX Print "Set aqueous humor thickness = " & taq-0.55 6')pM&`t L+rMBa '************************************************************************* <691pkX 'Radius and conic constant of anterior lens Uql|32j '************************************************************************* '%}k"&t$i eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ]l~TI8gC GetConic eID, entity, curv, conic z(yJ/~m &.ENcEic SetConic eID, entity, 1/Rant, CCant {okx*]PIc Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant SMMsXH jEkO#xI '************************************************************************* R}S@u@mOE 'Radius and conic constant of posterior lens Rb8wq.LqD '************************************************************************* y7?n;3U]CS eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) @'Y^A GetConic eID, entity, curv, conic [J`%iU x bsk SetConic eID, entity, 1/Rpost, CCpost @Ft\~ +} Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 5,;>b^gXY` 2c
Pd$j '************************************************************************* YH
5jvvOI 'Lens thickness (Position of posterior lens surface) a*oqhOTQ '************************************************************************* t\/i9CBn ^Qx
qv parID = FindFullName( "Geometry.Arizona Eye.Lens" ) }ob&d.XZ _3_kvs ' Delete any z-shift(s) )rqb<O count = 0 ,y'E#_cTgQ While GetOperationCount(eID)>count wTu_Am GetOperation eID, count, op ;nDCyn4i] If op.Type="ShiftZ" Then 2Gw2k8g& DeleteOperation eID,count Uzx,aYo X count=count-1 'DDlX3W- End If #2XX [d% count=count+1 YoT<]' Wend WFYbmfmV lhN2xg5x 'Set new z-shift ^E)*i#."4 op.Type = "ShiftZ" \9Z1'W op.val1 = tlens V5ySOgzw, op.parent = parID 19r4J(pV
AddOperation eID, op 5\?\|* WT Print "Set lens thickness = " & tlens u@ "nVHgMJ ;g:!WXd '************************************************************************* e?V7<7$ 'Lens index of refraction 3
W%Bsqn '************************************************************************* \E!a=cL! eID = FindMaterial( "Lens" ) "$lE~d"> GetModelMaterial eID, mat 5f` a7R n.323tNY mat.Nd = nlens !ULU#2'1 SetModelMaterial eID, mat h^)R}jy+f Print "Set lens index of refraction = " & nlens d"P\ =`+ sv g`s,g '************************************************************************* vz[-8 m:f 'Pupil diameter @lYm2l^ '************************************************************************* w,,QXJe{Z_ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) b,k%n_&n %/K'VE6pb 'Adjust pupil diameter (trimming volume inner hole) =Fd!wkB'{ 4Z&i\#Q SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" iK(G t6w 6rx%>\UkS ' Adjust pupil location to just in front of the lens m$bX;F}T parID = FindFullName( "Geometry.Arizona Eye" ) (F<VcB eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) kPt] [1jo count = 0 sp2"c"_+ While GetOperationCount(eID)>count :nt 7jm, GetOperation eID, count, op ZSBa+3;z If op.Type="ShiftZ" Then {Xc^-A[~ DeleteOperation eID,count z)Yk&;XC count=count-1 Zgw;AY.R> End If wU9H=w^ count=count+1 fpDx)lQ Wend [\Ks+S op.Type = "ShiftZ" =)2sehU/ op.val1 = taq-0.01 5Oa`1?C1 op.parent = parID 9(\eL9^ AddOperation eID, op <3 b|Sk:T tR!!Q Print "Set pupil diameter = " & pupilDiam |>Q]q &pL.hM^ 'Update AZ Eye subassembly Description TIs~?wb$ eID = FindFullName( "Geometry.Arizona Eye" ) fku\O<1 GetEntity eID, entity )r9lT*z entity.Description = "Accommodation = " & A & "D" 9L`5r$/ SetEntity eID, entity ^-*q =J2cX` Update ]ZkR~? Print "DONE!" Ew&pwsQ x344}\ End Sub :jJ;&t^^ -w[j`}([P9 如果屈光度是4,光瞳直径是4,则会输出如下数据: !mM`+XH jo7`DDb Accommodation = 4 Diopters @1`!}.Tk Pupil Diameter = 4 mm MHuQGc"e+4 Set aqueous humor thickness = 2.81 WDM^rjA|j Set anterior lens radius = 10.4 and conic constant = -2.375869 ,n}h_ct Set posterior lens radius = -4.424557 and conic constant = -3.081019 (O&R-5m Set lens thickness = 3.927 4TPAD)C Set lens index of refraction = 1.42672 p)dD{+"/2 Set pupil diameter = 4 JGJy_.C DONE! WN5`zD$ NSsLuM=. ;fdROI QQ:2987619807 lBYc(cr
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