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简介 g5?r9e 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。 7 B4w.P,B 8kKRx 模型 z0FR33- +<vqkc 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。 Vu^Q4Z k|)^!BdO Table 1. AZ眼睛模型的定义 UzP@{? 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. N GX-'w =Td#2V;0 光源 *=r@vQ pRb+'v&_k 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。 $u(M 4(} j58Dki->. ~QQEHx\4zZ 图1. 光源和提示信息使用 xV
}:M 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 mCZF5r vUA)#z< 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 u k>q\j X}ey0)g% 图2. 字母F光源的设定方法光 ^$g],PAY i:NJ>b 图3. 字母F在视网膜上位置点列图 l[ZQ7$kL 视网膜的散射 D~t"9Z\ Iltg0`
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。 F5om-tzy h[M6. mUe@Dud 图4. 视网膜朗伯散射设定 %m0L!|E 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。 ~50y- c+YYM
:S &9GR2GY 图5. 视网膜重点采样规格设定 [7ek;d;'t 脚本 ^+Y-=2u: rA>A=, 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: 96([V|5K 9, sCJ5bb" 图6. 用户对话框的创建与编辑 9|?(GG 图7. 用户对话框编辑器 &,6y(- 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。 0|*UeM 余下的脚本计算与屈光度有关的所有参数。 071 E%u, Z1qATXXf 分析 a v|6r# HnYFE@Nl:U 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 &d &oP
]CtoK%k 图7. 字母F在视网膜上颜色分析 bl+@}+A 脚本代码 $
M[}(m g}s-v?+ Option Explicit 'Remove this to enable non-dimensioned variables to be used. d
>wmg*J m}'t'l4 c Dim entity As T_ENTITY 8=zM~v) Dim op As T_OPERATION `mHOgS>| Dim mat As T_MODELMATERIAL el*pYI Dim A As Double &>wce5uV Dim pupilDiam As Double 7T(OV<q;# Dim eID As Long 4jyr\=42F' Dim parID As Long \w@_(4")Qb Dim count As Integer ;JD3tM< Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double M&BM,~ Dim tlens As Double, nlens As Double yADN_ Dim curv As Double, conic As Double E?c{02fu Dim ok As Long &j~|3 (^s_w03 Sub Main O%Gsk'mo CFS3);'<| '用户输入对话框 R4rm>zisVX Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 e7)%=F/) TextBox 220,21,40,21,.TextBox1 'default: 0 Lw+1| Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ,mBKya) OKButton 40,91,90,21 i2%m}S;D9 CancelButton 190,91,90,21 +h vIJv ? Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 {J6sM$aj TextBox 220,49,40,21,.TextBox2 'default: 4 l1|,Lr End Dialog xvz5\s|b Dim dlg As UserDialog >a`zkl 6L`+z ok = Dialog (dlg) meVVRFQ2+ ("M#R!3 If ok=0 Then 'cancel button was pressed +` Y ?- Print "Execution cancelled." 'rq#q)1MT End *e"GQd? End If p31rhe $CYpO}u# 'Assign accommodation and pupil diameter & use defaults if field left empty elHarey`f If dlg.TextBox1 = "" Then 2;(iTPz + A = 0 'Default accommodation !7a^8
Else 'LLQ[JJ=O A = CDbl(dlg.TextBox1) cZX&itVc: End If P+%)0*W sq(063l If dlg.TextBox2 = "" Then 0gb]Kj x pupilDiam = 4 'Default pupil diameter n#L2cv~Aj" Else S%gO6&^ pupilDiam = CDbl(dlg.TextBox2) V1b_z End If g l\$jDC9 G mUs U{ Print " " f;XsShxr Print "Accommodation = " & A & " Diopters" Y l3[~S
Print "Pupil Diameter = " & pupilDiam & " mm" 4bJ2<j 7te!>gUW ' Calculate new parameters with accommodation _(kwD^x6O{ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness {Ljl4Sp& 4Z
p5o`*g2 Rant = 12.0 - 0.4*A 'Radius of anterior lens 8\V>6^3CD$ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens +FKP5L} .dLX'84fY Rpost = -5.224557 + 0.2*A 'Radius of posterior lens |ij5c@~& CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens f<Um2YGW BG? 2PO{ tlens = 3.767 + 0.04*A 'Lens thickness |b@A:8ss 714nUA872 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction IV#My9}e vKOn7 'Adjust parameters to account for accommodation Tvw2py q adr^6n6v '************************************************************************* ieLN;)Iy^ 'Aqueous thickness (Position of Lens) 1Y"qQp '************************************************************************* ,) jB<` eID = FindFullName( "Geometry.Arizona Eye.Lens" ) E6-(q!"A GetCustomElement eID, entity WuZn|j' @`*YZq>p parID = FindFullName( "Geometry.Arizona Eye" ) G`lhvpifG x<7` 109] ' Delete any shift(s) in z VP[!ji9P count = 0 z>g& ?vo2 While GetOperationCount(eID)>count Nl)jQ GetOperation eID, count, op x[@3;_'K If op.Type="ShiftZ" Then @O0vh$3t0 DeleteOperation eID,count iKH T count=count-1 uqeWdj*Y End If g
UAPjR count=count+1 ~{$'s p0 Wend 7Bd_/A($ fTtSx_}3H 'Set new shift in #UeU:RJ1 op.Type = "ShiftZ" I[IQFka} op.val1 = taq R*G>)YH op.parent = parID a2_IF,p*? AddOperation eID, op oOSyOD Print "Set aqueous humor thickness = " & taq-0.55 (lsod#wEMg `ViNSr):J '************************************************************************* ,lYU#Hx* 'Radius and conic constant of anterior lens v86`\K*0Y '************************************************************************* *!s?hHv eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) +Z(VWu6 GetConic eID, entity, curv, conic |i}g7 8_$2aqr SetConic eID, entity, 1/Rant, CCant YVp0}m Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant
!@1!ld \)kAhKtG '************************************************************************* ?S:_J!vX{ 'Radius and conic constant of posterior lens iL'
]du<wk '************************************************************************* ZP/=R<< eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) x)mC^ GetConic eID, entity, curv, conic X1D:{S[ <q=B(J' SetConic eID, entity, 1/Rpost, CCpost r:Cid*~m Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost %d\+(:uu/ *heQ@ww '************************************************************************* tV4aUve 'Lens thickness (Position of posterior lens surface) ,dMi+c`ax '************************************************************************* ,OAWGFKOp DTVnQC parID = FindFullName( "Geometry.Arizona Eye.Lens" ) )
hB*Hjh %=eD)p7l- ' Delete any z-shift(s) q2i~<;Z)9 count = 0 :?W:'% (`[ While GetOperationCount(eID)>count tJ=zk3BN~ GetOperation eID, count, op w2AWdO6 If op.Type="ShiftZ" Then }CqIKoX. DeleteOperation eID,count UbH=W(% count=count-1 UeQ%(f End If a8c]B/ count=count+1 sxa
( Wend "
N4]e/.V zH4#\d 'Set new z-shift _%!hkc( op.Type = "ShiftZ" ~h+3WuOv op.val1 = tlens (E[hl op.parent = parID Us.jyg7_c AddOperation eID, op IW*.B6Hw8 Print "Set lens thickness = " & tlens JpiKZG@L .C?g nOq '************************************************************************* \zyGJyy. 'Lens index of refraction /Vc!N)
'************************************************************************* ? GW3E eID = FindMaterial( "Lens" )
KguFU GetModelMaterial eID, mat "rJL ^ \r =v9;HPiO mat.Nd = nlens !I&Sy]G SetModelMaterial eID, mat }qPo%T Print "Set lens index of refraction = " & nlens 0l*/_;wo w+H=Xh4t '************************************************************************* R?I3xb 'Pupil diameter @DR&e^Zz '************************************************************************* $<PVzW,$o eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) mQJ GKh&Pk
!^\/
1^ 'Adjust pupil diameter (trimming volume inner hole)
)G&OX HR SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" =Y0m;-1M ESI}+ ' Adjust pupil location to just in front of the lens f^ qQ5N parID = FindFullName( "Geometry.Arizona Eye" ) RJM(+5xQ| eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 'Ud5;?{ count = 0 EbHeP While GetOperationCount(eID)>count m\=u/Zip GetOperation eID, count, op _i#Z'4?2E If op.Type="ShiftZ" Then ,zaveQ~l DeleteOperation eID,count =|/b[Gd( count=count-1 lhU# /}Z End If ?hYe4tc-# count=count+1 %e(,PL Wend {ar}.U op.Type = "ShiftZ" oGZ9@Y)(T op.val1 = taq-0.01 gu!A:Q op.parent = parID cjk5><}`H7 AddOperation eID, op sYzG_*) T}* '9TB Print "Set pupil diameter = " & pupilDiam Mtr~d ;z#9>99rH 'Update AZ Eye subassembly Description [A47OR eID = FindFullName( "Geometry.Arizona Eye" ) [(mq8Nb GetEntity eID, entity |%} ?*|- entity.Description = "Accommodation = " & A & "D" qsp,Usu/ SetEntity eID, entity "yumc5kt (@Bm2gH Update 2_Qzc&"[
4 Print "DONE!" 03PVbDq- B$G8,3 ,: End Sub pFuQ!7Uk dGg+[? 如果屈光度是4,光瞳直径是4,则会输出如下数据: {)M4h?.2 E:ytdaiT Accommodation = 4 Diopters ;&!l2 UB% Pupil Diameter = 4 mm 2%I:s6r Set aqueous humor thickness = 2.81 uH#NJoRO Set anterior lens radius = 10.4 and conic constant = -2.375869 HFazqQ[ Set posterior lens radius = -4.424557 and conic constant = -3.081019 j.K yPWO Set lens thickness = 3.927 Q.Acmht# Set lens index of refraction = 1.42672 LuVj9+1 S Set pupil diameter = 4 |w5#a_adM DONE! `#V"@Go ,rKN/{M! (文章来源:讯技光电)
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