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简介 ^5n#hSqZ=M ?ocBRla 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。 ]R*h3U@5#K qx1+' 模型 v83@J~ VD~
%6AjyN 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。 {WvYb,
:SD#>eD0 Table 1. AZ眼睛模型的定义 FI"KJk' 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. *_sSM+S `rest_vu 光源 \gFV6 H?` 2(2UAB"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。 _ -|+k x8o/m$[,=u /d*[za'0 图1. 光源和提示信息使用 gx.\&W b 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 #+ Y%Bxf k![oJ.vHD 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 s=>^ 8[0O `Jj q5:\& 图2. 字母F光源的设定方法光 ~X(2F#{<{ 69S*\'L 图3. 字母F在视网膜上位置点列图 b#(X+I 视网膜的散射 D]twid~OS &EhOSu 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 {8"Uxj_6V Z.b?Jzj _H"_&m$aDm 图4. 视网膜朗伯散射设定 pv,z$3Q 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 TDX~?>P R0urt I23"DBR3 图5. 视网膜重点采样规格设定 ct@3] 脚本 +E']&v$ aUi^7;R&< 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: ^"iJ ~U4Cf > 图6. 用户对话框的创建与编辑 ?_d3|]N 图7. 用户对话框编辑器 {s0!hp 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。 K!8l!FFl 余下的脚本计算与屈光度有关的所有参数。 tB`IBuy9!" oDWNOw 分析 '=(D7F; 0j2mTF(C 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 BP@V:z q2U?EP{8~ 图7. 字母F在视网膜上颜色分析 LRR)T: e}q 脚本代码 A{Qo}F<* <tW/9}@p9 Option Explicit 'Remove this to enable non-dimensioned variables to be used. |S]T,`7u 'vV+Wu#[ Dim entity As T_ENTITY QT=i>X Dim op As T_OPERATION 4|UtE<<b Dim mat As T_MODELMATERIAL K j~!E
H" Dim A As Double b3ys"Vyn Dim pupilDiam As Double `7oYXk Dim eID As Long 4KR$s Kq$q Dim parID As Long d4) 0G-| Dim count As Integer "5v^6R9e Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double Lb?0< Dim tlens As Double, nlens As Double o1k+dJUd Dim curv As Double, conic As Double })j N
8px Dim ok As Long >`<qa!9 0./Rdf=-1j Sub Main U,lO{J[T z'*{V\ '用户输入对话框 y(O~=S+< Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 /4}y2JVv) TextBox 220,21,40,21,.TextBox1 'default: 0 kG5Uc83#G Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ^\r{72!y OKButton 40,91,90,21 R5\|pC CancelButton 190,91,90,21 @ +a}O Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 _YN
C}PUU TextBox 220,49,40,21,.TextBox2 'default: 4 (C.aQ)|T End Dialog ^O}J',Fm%f Dim dlg As UserDialog Cq[Hh#q U;M! jj ok = Dialog (dlg)
&_-3>8gU 4 %4Yqx ) If ok=0 Then 'cancel button was pressed h+S]C#X,} Print "Execution cancelled." "N)InPR- End >Bu_NoM End If Lt
i2KY}/% $~\Tl:!#? 'Assign accommodation and pupil diameter & use defaults if field left empty ZG?e% If dlg.TextBox1 = "" Then ],{M``]q A = 0 'Default accommodation Y~w1_>b Else +O)ZB$w4 A = CDbl(dlg.TextBox1) PS0/Ok End If EKS?3z%! Ec^2tx"= If dlg.TextBox2 = "" Then P76gJ@#m pupilDiam = 4 'Default pupil diameter >qUD_U3A Else "rVM23@
tq pupilDiam = CDbl(dlg.TextBox2) &*oljGt8 End If k5*Z@a ~6+Um_A_L Print " " SjIDzNI5 Print "Accommodation = " & A & " Diopters" I}m>t}QRI_ Print "Pupil Diameter = " & pupilDiam & " mm" `R!2N4|; Ocz21gl-?` ' Calculate new parameters with accommodation nU 0## taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness Qz"//=hC|H Wys$#pJ Rant = 12.0 - 0.4*A 'Radius of anterior lens Kjpsz] ; CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens tgHN\@yj 5DO}&%.xt Rpost = -5.224557 + 0.2*A 'Radius of posterior lens T!Lv%i*|Y CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens xk3)#* Vt-V'`Y tlens = 3.767 + 0.04*A 'Lens thickness }:[MSUm5 "!uS!BI? nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction >FJK$>[1:p +n)bWB% 'Adjust parameters to account for accommodation SR`A]EC(V rrq7UJ; '************************************************************************* &Aym@G|k? 'Aqueous thickness (Position of Lens) AP8J28I '************************************************************************* 54/ZGaonz eID = FindFullName( "Geometry.Arizona Eye.Lens" ) (cI@#x GetCustomElement eID, entity Cv/3-&5S /<dl"PWkJv parID = FindFullName( "Geometry.Arizona Eye" )
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q ' Delete any shift(s) in z c{39,oF count = 0 L X #. While GetOperationCount(eID)>count \&U"7gSL GetOperation eID, count, op dj}P|v/;z If op.Type="ShiftZ" Then $$*0bRfd4= DeleteOperation eID,count K6@ %@v count=count-1 NE3/>5 End If W .Al\!Gi count=count+1 Ik@MIxLK Wend %o`Cp64`Q Mko,((>I1 'Set new shift in ~q}]/0-m op.Type = "ShiftZ" Ri}JM3\J op.val1 = taq }:1qK67S op.parent = parID Vg
mYm~y' AddOperation eID, op 9WHarv2 @ Print "Set aqueous humor thickness = " & taq-0.55 /b6j<]H o =F!&]+ '************************************************************************* wy:euKB~
'Radius and conic constant of anterior lens w( ic$ '************************************************************************* fSGaUBiq} eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Eh[NKgYL GetConic eID, entity, curv, conic &yqk96z qQS&K%F SetConic eID, entity, 1/Rant, CCant =,&{ &m) Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant v[a4d&P cCIs~*D '************************************************************************* akwS;|SZ 'Radius and conic constant of posterior lens 6^FUuj. '************************************************************************* "L9pFz</ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 9Z3Vf[n5\ GetConic eID, entity, curv, conic JqEo~]E] "tj]mij2)G SetConic eID, entity, 1/Rpost, CCpost zCu+Oi6 Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 6']WOM# h9~oS/%: '************************************************************************* ytV4qU82G 'Lens thickness (Position of posterior lens surface) (D\`:1g '************************************************************************* 5rJ7CfVq HLh]*tQG parID = FindFullName( "Geometry.Arizona Eye.Lens" ) AZ-JaE
W=,]#Z+M; ' Delete any z-shift(s) C4|79UG>s count = 0 j'UWgwB While GetOperationCount(eID)>count !{ORFd GetOperation eID, count, op 9v7}[`^ If op.Type="ShiftZ" Then cWI7];/d; DeleteOperation eID,count Cn>t"#zs!~ count=count-1 :r&4/sN}< End If c2d1'l]n count=count+1 ETfoL.d$( Wend xI~ c~KC |lVi* 4za% 'Set new z-shift `<%
w4E op.Type = "ShiftZ" ,LL=b-Es op.val1 = tlens jW}hLjlN op.parent = parID [Fr <tKtB AddOperation eID, op qc6d,z/ Print "Set lens thickness = " & tlens ^5-SL?E sT91>'& '************************************************************************* <In+V 'Lens index of refraction 0EC/l
OS '************************************************************************* yeV|j\TJI. eID = FindMaterial( "Lens" ) /qd~|[Kx: GetModelMaterial eID, mat P>7PO~E. ?6:e%YT mat.Nd = nlens "}<baz SetModelMaterial eID, mat s6I/%R3 Print "Set lens index of refraction = " & nlens =8DS~J{ vGp`P '************************************************************************* nB%[\LtZ? 'Pupil diameter ~B`H5# '************************************************************************* Lx3`.F\mG eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 7#9fcfL No]#RvEd3 'Adjust pupil diameter (trimming volume inner hole) *(nu0 CbT ;#0 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" s18A bWMb@zm ' Adjust pupil location to just in front of the lens Qs_]U parID = FindFullName( "Geometry.Arizona Eye" ) IZZ
$p{ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) gE6{R+sp count = 0 #LG<o3An While GetOperationCount(eID)>count A)nE+ec1 GetOperation eID, count, op !GoHCe[10 If op.Type="ShiftZ" Then {)-3g~ DeleteOperation eID,count w#;y count=count-1 GUsJF;;V End If zHvW@A'F count=count+1 M =GF@C;b Wend `W4Is~VVv op.Type = "ShiftZ" Q7?[@2HN op.val1 = taq-0.01 aOW$H:b op.parent = parID ;7g~4Uv4} AddOperation eID, op >):>Pz%U FX/f0C3CK Print "Set pupil diameter = " & pupilDiam e]smnf vt}A6mF 'Update AZ Eye subassembly Description s%)>O{{) eID = FindFullName( "Geometry.Arizona Eye" ) <GoZ> GetEntity eID, entity nkz^^q`5l7 entity.Description = "Accommodation = " & A & "D" m?`$NJST SetEntity eID, entity p 4l B# a8Z{-=) Update D;X/7 p|> Print "DONE!" NQ\<~a`Eq {7 nz:f End Sub Y!_e,]GW vi0nJ -Xg 如果屈光度是4,光瞳直径是4,则会输出如下数据: ]U3@V#* 5f#]dgBe Accommodation = 4 Diopters @5TJ]= Pupil Diameter = 4 mm ef
-PlGn Set aqueous humor thickness = 2.81 bcFZ ~B Set anterior lens radius = 10.4 and conic constant = -2.375869 ?rgtbiSW- Set posterior lens radius = -4.424557 and conic constant = -3.081019 +v|]RgyW) Set lens thickness = 3.927 `HsI)RmX Set lens index of refraction = 1.42672 A)u,Hvn Set pupil diameter = 4 bH_zWk DONE! Y/G~P,9
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