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简介 tSux5yV .vctuy& 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。 :nR80] _VRxI4q 模型 nW^h
+ 4:S]n19nq 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。 B=;kC#Emtf xMNQT.A Table 1. AZ眼睛模型的定义 }!{R;,5/n 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. c ~~4eia) rM^2yr7H 光源 OF={k[ VKZP\]$XG 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 P
4t@BwU$ :<bhQY X.S<",a{qz 图1. 光源和提示信息使用 &tvtL 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。 %gs?~Xl)] QuG"]$ 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。 1x=x,lcL (_!I2"Q* 图2. 字母F光源的设定方法光 P9qIq]M Tg"? TZO~ 图3. 字母F在视网膜上位置点列图 #;~HoOK*# 视网膜的散射 ^"D^D`$@ Hi=</ Wy; 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 _k26(rdI@- UimofFmI% K:jn^JN$ 图4. 视网膜朗伯散射设定 49M1^nMvoo 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。 qEXN}Pq< akt7rnt?i %cg| KB"l 图5. 视网膜重点采样规格设定 PuREqa\_[ 脚本 :H3/+/x 8Th,C{ 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: >W8"Ar W>i%sHH6 图6. 用户对话框的创建与编辑 Z#Kf%x. 图7. 用户对话框编辑器 h'};spv 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。 ohqThl 余下的脚本计算与屈光度有关的所有参数。 aQ$sn<-l y]+5Y.Cw$ 分析 R'`'q1=R wEM=Tr/h 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ]b;m~|9 &K60n6q{aQ 图7. 字母F在视网膜上颜色分析 #+l`tj4b/ 脚本代码 \Z3K ~ ObEz 0Rj Option Explicit 'Remove this to enable non-dimensioned variables to be used. *l{epum; QEf@wv;T Dim entity As T_ENTITY / @"{u0 Dim op As T_OPERATION YLQ0UeDN' Dim mat As T_MODELMATERIAL C{pOGc@ Dim A As Double cZ?$_;= Dim pupilDiam As Double {Ba& Dim eID As Long PIa!NPy Dim parID As Long V=*^C+6s Dim count As Integer M
Zz21H Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double =xIZJ8e Dim tlens As Double, nlens As Double Wj^e)2% Dim curv As Double, conic As Double GnW MI1$ Dim ok As Long -grf7w^ c?HUW Sub Main /Yp#`}Ii SDil\x '用户输入对话框 =/46;844T Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 =n"k gn TextBox 220,21,40,21,.TextBox1 'default: 0 \ m~?yq8H Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 NT*r7_e OKButton 40,91,90,21 ]<f(@]R/d CancelButton 190,91,90,21 6 Ln~b <I Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 x+Xd7N1 TextBox 220,49,40,21,.TextBox2 'default: 4 B F<u3p?? End Dialog D?1fY!C:r Dim dlg As UserDialog I_v}}h{ UTyV6~ ok = Dialog (dlg) n_km]~ U[f00m5{HV If ok=0 Then 'cancel button was pressed zVw5 (Tc Print "Execution cancelled." ;C$+8%P4 End u3+B/ 5x End If Pn">fWRCx e9h@G# 'Assign accommodation and pupil diameter & use defaults if field left empty &}k7iaO If dlg.TextBox1 = "" Then 4G(7V: A = 0 'Default accommodation g) u%?T Else )/::i
O&$: A = CDbl(dlg.TextBox1) +_i{4Iz~p End If ,<tJ`,0X L/tn;0 If dlg.TextBox2 = "" Then ^-~JkW'z pupilDiam = 4 'Default pupil diameter UrvUt$WO Else @Uez2? pupilDiam = CDbl(dlg.TextBox2) JyMk @Y End If mg'q-G`\< 1W{N6+u Print " " Q p>b Print "Accommodation = " & A & " Diopters" ,\\ba_*z Print "Pupil Diameter = " & pupilDiam & " mm" aP 4$&l`yWU+ ' Calculate new parameters with accommodation MMFwT(l<1 taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness \QK@wgu wI_@ Rant = 12.0 - 0.4*A 'Radius of anterior lens 8~o']B;lJ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens &*<27-x ux&"TkEp Rpost = -5.224557 + 0.2*A 'Radius of posterior lens F$?Ab\#B CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens TBBnsj6e ;AEfU^[
tlens = 3.767 + 0.04*A 'Lens thickness 0!|d .jZI !RmVb}m nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction XX~vg>3_ qLDj\%~( 'Adjust parameters to account for accommodation /YvXyi>^"% 2H|:/y '************************************************************************* :G1ddb&0+ 'Aqueous thickness (Position of Lens) (G"'Fb6d '************************************************************************* 9b+jT{Tg eID = FindFullName( "Geometry.Arizona Eye.Lens" ) =#G
2}8mQD GetCustomElement eID, entity r.H`3m.0q u-TT;k' parID = FindFullName( "Geometry.Arizona Eye" ) j~qm$ 'H o]e,5] ' Delete any shift(s) in z wGArR7r count = 0 |RiJ>/MK\ While GetOperationCount(eID)>count QO'Hyf t GetOperation eID, count, op i?6&4 If op.Type="ShiftZ" Then uDDa>Ka#+ DeleteOperation eID,count i<Vc~!pT count=count-1 +FTc/r End If 9* )&hhBs, count=count+1 6 Xvpk1 Wend _
>OP RPz[3y 'Set new shift in \HeJc:^ op.Type = "ShiftZ" y*i&p4Y* op.val1 = taq Pp8S\%z~h op.parent = parID +vh|m5"7I7 AddOperation eID, op S>yi D`v Print "Set aqueous humor thickness = " & taq-0.55 n$/|r &K9;GZS? '************************************************************************* v"bWVc~H 'Radius and conic constant of anterior lens 7*5B '************************************************************************* /Y7^!3uM eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) /s\ mV GetConic eID, entity, curv, conic +K4XMf bwsKdh SetConic eID, entity, 1/Rant, CCant hw
DxGiU Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant |`T(:ZKXZ2 hhTtxC<: '************************************************************************* ,MY7h8V/ 'Radius and conic constant of posterior lens H%wB8Y
] '************************************************************************* Cy~ IB [ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) @?,x3\N- GetConic eID, entity, curv, conic
=z.j{% ]EiM~n SetConic eID, entity, 1/Rpost, CCpost pHeG{<^ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost E'QAsU8pP FOTe,F.8 '************************************************************************* KYFKH+d>m 'Lens thickness (Position of posterior lens surface) .hT>a< '************************************************************************* 0j$\k|xFXZ 2.q Zs8& parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 1b5Z^a<u `0d0T~ ' Delete any z-shift(s) / ;`H ) count = 0 ~MG6evm & While GetOperationCount(eID)>count _{*} )&!M GetOperation eID, count, op h3MdQlJ& If op.Type="ShiftZ" Then TDh)}Ms DeleteOperation eID,count "Lp.*o count=count-1 'n &p5% End If t>bzo6cj count=count+1 "- 4|HA Wend V}E['fzBFV VI!
\+A 'Set new z-shift P3oYk_oW op.Type = "ShiftZ" PQHztS" op.val1 = tlens GkAd"<B op.parent = parID
c1H.v^Y5 AddOperation eID, op o|xf2k Print "Set lens thickness = " & tlens k[Em~>m CmU@8-1 '************************************************************************* K9<8FSn 'Lens index of refraction oC&}lp)q '************************************************************************* JYdb^j2c eID = FindMaterial( "Lens" ) _J,**AZ~z GetModelMaterial eID, mat 4 9qa l)u%`Hcn mat.Nd = nlens dwA"QVp{ SetModelMaterial eID, mat zEQ]5>mG Print "Set lens index of refraction = " & nlens mF6-f#t>H+ /X}1%p '************************************************************************* ql?w6qFs] 'Pupil diameter RoqkT|#$ '*************************************************************************
']}-;m\ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) !?,,
ZD N_%@_$3G] 'Adjust pupil diameter (trimming volume inner hole) 4H8r[ }&v}S6T SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" Qf:e;1F! 8eT#-9q@ ' Adjust pupil location to just in front of the lens & 9e parID = FindFullName( "Geometry.Arizona Eye" ) P]+B})) eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ~kc#"^sJ count = 0 !'$*Z( While GetOperationCount(eID)>count =ejcP&-V/ GetOperation eID, count, op H I9/ If op.Type="ShiftZ" Then cW3'057 DeleteOperation eID,count XpAJP++ count=count-1 |!o C7!+0^ End If l$u52e!7 count=count+1 MWwqon| Wend B>u`%Ry& op.Type = "ShiftZ" -@AhJY. op.val1 = taq-0.01 3W'fEh5 op.parent = parID r/h\>s+N AddOperation eID, op >MYxj}I4{z f1NHW|_j Print "Set pupil diameter = " & pupilDiam J.iz%8 9/"&6, 'Update AZ Eye subassembly Description dv.
77q eID = FindFullName( "Geometry.Arizona Eye" ) =eA|gt GetEntity eID, entity `0upm%A entity.Description = "Accommodation = " & A & "D" b^R:q7ea SetEntity eID, entity SFg4}*"C / AO<T6VK Update aT^
$'_ G Print "DONE!" ET[5`z 5bb#{?2i End Sub /`cy4< F2YBkwI
如果屈光度是4,光瞳直径是4,则会输出如下数据: P$'PB*5d| :[a*I6/^ Accommodation = 4 Diopters g9C-!X-<T Pupil Diameter = 4 mm T4x%3-4; Set aqueous humor thickness = 2.81 t__f=QB/ Set anterior lens radius = 10.4 and conic constant = -2.375869 kQI'kL8> Set posterior lens radius = -4.424557 and conic constant = -3.081019 w&@tP^` Set lens thickness = 3.927 ,DEq"VW_ Set lens index of refraction = 1.42672 0d[O/Q` Set pupil diameter = 4 LR&MhG7 DONE! :r{-:
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]E Q`i@['?p QQ:2987619807 vU *: M8k
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