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简介 T^]}Oy@e,J 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。 seeBS/% [z9Z5sLO 模型 0+b1vhQ b5n'=doR/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。 )@bQu~Y ]5:8Z@ Table 1. AZ眼睛模型的定义 x'R`.
!g3 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. koi^l`B$ R@rBEW& 光源 0#^v{DC ^_mj 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。 q'MZ R'<@ "g8M0[7e3 b>JDH1) 图1. 光源和提示信息使用 7. ;3e@s 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。 D.XvG _ @Do= k 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。 \dQNLLg/ P7/X|M z 图2. 字母F光源的设定方法光 $PHvA6D k"w"hg&e 图3. 字母F在视网膜上位置点列图 Thit 视网膜的散射 jo@J}`\Zt N ZSSg2TX# 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 du^J2m{f uu687|Pm *~i
])4 图4. 视网膜朗伯散射设定 5`: Yye 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 k$^`{6l I,8Er2;) Th%Sjgsn 图5. 视网膜重点采样规格设定 &:)Wh[ 脚本 ^y%T~dLkp' XpJ7o=?W3 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: c0u^zH< ~/P[J 图6. 用户对话框的创建与编辑 BThrO d 图7. 用户对话框编辑器 C3YT1tK 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。 D d</`iUq 余下的脚本计算与屈光度有关的所有参数。 tZG:Pr1U@ @sC`!Rmy'- 分析 n7-6-
# E~oOKQ5W 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ^DwYOo 2B CizX<Cr} 图7. 字母F在视网膜上颜色分析 d-dEQKI?; 脚本代码 0:Ol7 ) hfpwdQ Option Explicit 'Remove this to enable non-dimensioned variables to be used. |#
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aotx Dim entity As T_ENTITY `+Q%oj#FF Dim op As T_OPERATION N//KPh Dim mat As T_MODELMATERIAL yaH
Zt`Y Dim A As Double jtc]>]6i Dim pupilDiam As Double 9mTJ|sN:e Dim eID As Long %OOl'o"V{s Dim parID As Long _zi| Dim count As Integer wDe& 1(T^ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double [3|P 7?W/ Dim tlens As Double, nlens As Double :X
(=z;B;N Dim curv As Double, conic As Double ;@|n @ax Dim ok As Long kL"2=7m; |_@>*Vmg Sub Main Z}Ft:7 @r/nF5 '用户输入对话框 ^,T(mKS Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 HRfYl,S, TextBox 220,21,40,21,.TextBox1 'default: 0 _>X+ZlpU: Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 b!5~7Ub.No OKButton 40,91,90,21 ,wAF:7' CancelButton 190,91,90,21 vnZC,J ` Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 9m~p0 ILh TextBox 220,49,40,21,.TextBox2 'default: 4 o]I\6,T/| End Dialog ]|PiF+ Dim dlg As UserDialog q'Tf,a J]pir4&j ok = Dialog (dlg) 3m!X/u 'kO!^6=4M If ok=0 Then 'cancel button was pressed lchPpm9 Print "Execution cancelled." IKilr' End P:MT*ra*, End If ={@6{-tl V{3x!+q 'Assign accommodation and pupil diameter & use defaults if field left empty ok\vQs(a If dlg.TextBox1 = "" Then Od,qbU4O A = 0 'Default accommodation
57 Else
&powy7rR A = CDbl(dlg.TextBox1) x\G'kEd End If aNspMJ 4yA+h2 If dlg.TextBox2 = "" Then O) n~](sC\ pupilDiam = 4 'Default pupil diameter V#gK$uv Else $1L>)S pupilDiam = CDbl(dlg.TextBox2) o~y;j75{.* End If q Y?j#fzi Pw`8Wj Print " " y'nK>)WG4 Print "Accommodation = " & A & " Diopters" nB SYsp{ Print "Pupil Diameter = " & pupilDiam & " mm" xHLlMn4M ShP^A"Do ' Calculate new parameters with accommodation ~H<6gN<j(. taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness oDA XiY$u FxWS V| Z Rant = 12.0 - 0.4*A 'Radius of anterior lens 3<f}nfB%r? CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 2*l/3VW h_3E)jc Rpost = -5.224557 + 0.2*A 'Radius of posterior lens U,{eHe ?>T CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens J$w<$5UY `MN4uC tlens = 3.767 + 0.04*A 'Lens thickness V1`o%;j SBk4_J/_ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ,pQZ@I\z Y0dEH^I 'Adjust parameters to account for accommodation ' ;FnIZ h#
o6K# '************************************************************************* Vl=l?A8 'Aqueous thickness (Position of Lens) vm7z,FfN '************************************************************************* +RM SA^ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) SaAFz&WRl GetCustomElement eID, entity 4=.89T#< ub#a` parID = FindFullName( "Geometry.Arizona Eye" ) Ru!iR#s)! )|R)Q6UJ ' Delete any shift(s) in z DIfaVo/" count = 0 J~zUp(>K While GetOperationCount(eID)>count dI@(<R GetOperation eID, count, op :W.(S6O( If op.Type="ShiftZ" Then {{D)YldtA DeleteOperation eID,count r|fL&dtr count=count-1 S\YTX%Xm} End If U}e!Wjrc count=count+1 mCsMqDH Wend +-U- D?- RYQR(v 'Set new shift in M2>Vj/ op.Type = "ShiftZ" =9boya,> op.val1 = taq TA`1U;c{n op.parent = parID *ebSq) AddOperation eID, op c%2QZ C Print "Set aqueous humor thickness = " & taq-0.55 ;!mzyb* M4oy '************************************************************************* [P=Jw:E 'Radius and conic constant of anterior lens +_?hK{Ib" '************************************************************************* $m%fwB eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ;4^Rx GetConic eID, entity, curv, conic jrlVvzZ Jr
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SetConic eID, entity, 1/Rant, CCant h-#6av: Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant \FbvHr, .9 on@S '************************************************************************* q77;ZPfs8 'Radius and conic constant of posterior lens "3)C'WlEy/ '************************************************************************* x=hiQ>BIO0 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) j9x<Y] GetConic eID, entity, curv, conic &I+5 <CYd+! ( SetConic eID, entity, 1/Rpost, CCpost L%*!`TN Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost szZr4y<8|1 +eWQa`g '************************************************************************* =)H.cuc 'Lens thickness (Position of posterior lens surface) @Q
]=\N: '************************************************************************* g2LM_1\ F#,90F' parID = FindFullName( "Geometry.Arizona Eye.Lens" ) BOb">6C B4c]}r+ ' Delete any z-shift(s) N=T<_`$5 count = 0 c?f4Q,%| While GetOperationCount(eID)>count N_kMK GetOperation eID, count, op ??-[eB. If op.Type="ShiftZ" Then <y2U3;t DeleteOperation eID,count
_JzEGpeG count=count-1 *KZYv=s,u End If =V,mtT count=count+1 EnKR%Ctw Wend _UMg[Um }WC[$Y_@ 'Set new z-shift }>pknc? op.Type = "ShiftZ" '%s.^kn op.val1 = tlens sQUM~HD\a op.parent = parID 4x=v?g& AddOperation eID, op L:KF_W.I+ Print "Set lens thickness = " & tlens E<{R.r AP n| \ '************************************************************************* >Eyt17_H"n 'Lens index of refraction Go`vfm"S '************************************************************************* )al]*[lY eID = FindMaterial( "Lens" ) y2Q&s9$Do GetModelMaterial eID, mat =57>!) 2@n{yYwy mat.Nd = nlens Dzpq_F!;V SetModelMaterial eID, mat lK?uXr7^ Print "Set lens index of refraction = " & nlens dc+>m,3$ }/0X'o '************************************************************************* (R[[Z,>w. 'Pupil diameter c?(4t67| '************************************************************************* ^H p; .f. eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 'Cb6Y#6 jnkR}wAA 'Adjust pupil diameter (trimming volume inner hole) I13y6= d J|W<; SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 2prU 9@SC}AF. ' Adjust pupil location to just in front of the lens \#8D>i?m parID = FindFullName( "Geometry.Arizona Eye" ) 2 ~dE<} eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) S*,17+6dV count = 0 AwCcK6N1 While GetOperationCount(eID)>count -vAC"8)S GetOperation eID, count, op prUN)r@U
If op.Type="ShiftZ" Then gT6z9 DeleteOperation eID,count k90YV( count=count-1 BwN0!lsF3 End If CQc+#nRe count=count+1 WJ]T\DI Wend 0G(/Wb"/ op.Type = "ShiftZ" 2,y|EpG# op.val1 = taq-0.01 [CTnXb op.parent = parID mtpeRVcF AddOperation eID, op H-!,yte Ucb F|vkI Print "Set pupil diameter = " & pupilDiam }g@v`5 (fhb0i- 'Update AZ Eye subassembly Description DcS+_>a\{l eID = FindFullName( "Geometry.Arizona Eye" ) n.}Zk G0` GetEntity eID, entity [DYQ"A=)d entity.Description = "Accommodation = " & A & "D" mn'A9er SetEntity eID, entity `{8K.(])s! !K#qe Y} Update %6t:(z Print "DONE!" #]-SJWf3 \Zb;'eDv End Sub ^23~ZHu qfX6TV5J}! 如果屈光度是4,光瞳直径是4,则会输出如下数据: mupT<_Y :S]\0;8] Accommodation = 4 Diopters i[i4h"$0 Pupil Diameter = 4 mm }czrj%6 Set aqueous humor thickness = 2.81 XjB W9a Set anterior lens radius = 10.4 and conic constant = -2.375869 C;v.S5x Set posterior lens radius = -4.424557 and conic constant = -3.081019 &L3M] Set lens thickness = 3.927 hy9\57_# Set lens index of refraction = 1.42672 B 5L2< Set pupil diameter = 4 IM*y|UHt DONE! _OYasJUMG y-Fo=y (文章来源:讯技光电)
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