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简介 1qA;/-Zr<o 9'B `]/L 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。 MQ2}EY*A 2^7`mES 模型 @yYkti;4- ~"!fP3"e 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。 2,b$7xaf [/r(__. Table 1. AZ眼睛模型的定义 L4W5EO$ 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. hZb_P\1X RA 6w}:sq7 光源 ~n_HP_Kf? 8s@3hXD& 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。 :ws<-Qy ?@x/E& xmoxZW: 图1. 光源和提示信息使用 Vurqt_nb 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。 $`8wJf9@w z1a7*)8P 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。 $??I/6 vY3h3o 图2. 字母F光源的设定方法光 5^ Zg>I tuX|\X 图3. 字母F在视网膜上位置点列图 *-X[u: 视网膜的散射 53h0UL dE3) |% 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。 6y<EgYzdE HzJz+ x: L~3Pm%{@A 图4. 视网膜朗伯散射设定 !G|@6W` 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。 uY*L,j^) U<XG{<2 zt%Mx>V@ 图5. 视网膜重点采样规格设定 >\8+:oS^ 脚本 E qiY\/S 8P`"M#fI 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: a+QpM*n7Lq I/N *gy?* 图6. 用户对话框的创建与编辑 5h*p\cl!Y 图7. 用户对话框编辑器 q^nVN# 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。 Hn:Crl y# 余下的脚本计算与屈光度有关的所有参数。 ]M3yLYK/P %so]L+r2! 分析 %iB,IEw l^}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。 2g<Xtt7+o EQ_aa@M7 图7. 字母F在视网膜上颜色分析 ;*J 脚本代码 7HWmCaa[ pR_9NfV{ Option Explicit 'Remove this to enable non-dimensioned variables to be used. wIgS3K qQa}wcU'9p Dim entity As T_ENTITY unxqkU/<Z Dim op As T_OPERATION FI.\%x Dim mat As T_MODELMATERIAL AZ<=o Dim A As Double tJmTBsn Dim pupilDiam As Double 6u%&<")4HP Dim eID As Long +C)~bb* Dim parID As Long fQFk+C Dim count As Integer VEH>]-0K Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double VU#7%ufu& Dim tlens As Double, nlens As Double d-%hjy3N Dim curv As Double, conic As Double 2<6UwF Dim ok As Long TA\vZGJ(' c@Is2
9t* Sub Main ,%y/kS] {`_i` '用户输入对话框 p<%d2@lp Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 a9Vi]; TextBox 220,21,40,21,.TextBox1 'default: 0 \<K5ZIWV Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 "M0z(NkH OKButton 40,91,90,21 ^rz_f{c]- CancelButton 190,91,90,21 )%]J>&/0J Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 i~72bMwsA TextBox 220,49,40,21,.TextBox2 'default: 4 jWgX_//! End Dialog +|f@^- Dim dlg As UserDialog 3c%caK z9"U!A4 ok = Dialog (dlg) iRBfx X-/]IHDN If ok=0 Then 'cancel button was pressed UZ";a453r Print "Execution cancelled." wM{s|Ay End @+DX.9 End If I 6O 1Ws9WU 'Assign accommodation and pupil diameter & use defaults if field left empty R!1p^~/ If dlg.TextBox1 = "" Then _dU\JD A = 0 'Default accommodation 4z)]@:`}z Else k{0o9, A = CDbl(dlg.TextBox1) 4!$"ayGv;D End If <naz+QK' 8EY:tzw If dlg.TextBox2 = "" Then |a@L}m pupilDiam = 4 'Default pupil diameter ,u m|1dh Else Ca-j?bb! pupilDiam = CDbl(dlg.TextBox2) [Qr"cR^ End If [ hsds\ #E]59_
Print " " W3RT{\ Print "Accommodation = " & A & " Diopters" P2Y^d#jO Print "Pupil Diameter = " & pupilDiam & " mm" 6C)_ JtZ7ti ' Calculate new parameters with accommodation S>{~nOYt-` taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness X?Au/ LQ% `c Rant = 12.0 - 0.4*A 'Radius of anterior lens IA(5?7x`< CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens Ca\6vR }7X%'Bg=M Rpost = -5.224557 + 0.2*A 'Radius of posterior lens ;kK/_%gN-G CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens Ho%CDz
z .(vwIb8\_ tlens = 3.767 + 0.04*A 'Lens thickness _B0L.eF Dh*n!7lD` nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction v0y(58Rz. Xr{v~bf 'Adjust parameters to account for accommodation n`KY9[0U= #;<Y[hR{P '************************************************************************* =">NQ)98u 'Aqueous thickness (Position of Lens) g .\[o@H '************************************************************************* ~s{$WL& eID = FindFullName( "Geometry.Arizona Eye.Lens" ) D,6:EV"sa GetCustomElement eID, entity n:X y6H KmF]\:sMD parID = FindFullName( "Geometry.Arizona Eye" ) _-\#i oU/5 a>9~ ' Delete any shift(s) in z nP$9CA count = 0 d'2A,B~_* While GetOperationCount(eID)>count DI%saw GetOperation eID, count, op y}H!c; If op.Type="ShiftZ" Then qWw=8Bq DeleteOperation eID,count YzWz| count=count-1 Q.[0ct End If (#'>(t(4 count=count+1 /j^ Wend K%d&EYoW] =QsYXK7Mn4 'Set new shift in :pUtSs7p} op.Type = "ShiftZ" h$*!8=M op.val1 = taq [gB+C84%% op.parent = parID F5Va+z,jg AddOperation eID, op 8-i#8'/x Print "Set aqueous humor thickness = " & taq-0.55
l^qI,M )*[3Vq '************************************************************************* @.C2LIb 'Radius and conic constant of anterior lens {8OCXus3m '************************************************************************* ]{iQ21`a- eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) f<H2-(m GetConic eID, entity, curv, conic HP=+<]?{G MJvp6n SetConic eID, entity, 1/Rant, CCant #F#%`Rv1 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant RpF&\x> PM+[,H '************************************************************************* =fbWz 'Radius and conic constant of posterior lens o@Oqm> ]SS '************************************************************************* ]oxZ77ciL eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) +0~YP*I`/ GetConic eID, entity, curv, conic ]!
dTG weQ_*<5% SetConic eID, entity, 1/Rpost, CCpost "8RSvT<W^5 Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost OH88n69 q@qsp&0/ '************************************************************************* 6-I'>\U~ 'Lens thickness (Position of posterior lens surface) jF>[?L '************************************************************************* :
'c&,oLY ;]iRk parID = FindFullName( "Geometry.Arizona Eye.Lens" ) `g,..Ns-r N$DkX)Z ' Delete any z-shift(s) J1vR5wbu count = 0 25T18&R While GetOperationCount(eID)>count Q@niNDaW2 GetOperation eID, count, op y^k$Us If op.Type="ShiftZ" Then ~BF&rx5Q DeleteOperation eID,count SIllU count=count-1 <UI
[%yXj End If Tk>#G{Wb- count=count+1 H[gWGbPq7 Wend %RVZD#zr 9z0p5)]n> 'Set new z-shift a}d@
T op.Type = "ShiftZ" 4JEpl'5^Q op.val1 = tlens [e
q&C_|D op.parent = parID 4W])}C % AddOperation eID, op !W\+#ez Print "Set lens thickness = " & tlens SKtr tm !<oe=)Iz| '************************************************************************* mR~&)QBP. 'Lens index of refraction s.#`&Sd> '************************************************************************* 92c HwWZ! eID = FindMaterial( "Lens" ) omFz@ GetModelMaterial eID, mat @c#(.= B1gR5p 0 mat.Nd = nlens [RL9>n8f SetModelMaterial eID, mat ,I9bNO,%JK Print "Set lens index of refraction = " & nlens 5tnlrqC fOHxtHM '************************************************************************* bLL2 'Pupil diameter us.~G '************************************************************************* QnDg6m)+ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) D=$)n_F =*Lfl'sr_ 'Adjust pupil diameter (trimming volume inner hole) Fcx&hj1gQ [K Qi.u SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" C^){.UGmJ I'Hf{Erw ' Adjust pupil location to just in front of the lens ~~.}ah/_d parID = FindFullName( "Geometry.Arizona Eye" ) b$7 +;I; eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) {vj)76%y count = 0 YR70BOxK While GetOperationCount(eID)>count [ )F<V! GetOperation eID, count, op 5(2;|I,T If op.Type="ShiftZ" Then "7
yD0T)2 DeleteOperation eID,count 7=uj2.J6 count=count-1 JC"z&ka End If QPx^_jA count=count+1 +t.b` U`- Wend IBGrt^$M op.Type = "ShiftZ" h1RSVp+?n op.val1 = taq-0.01 54,er$$V op.parent = parID /
1RpM]d AddOperation eID, op jdN`mosJ =wJX0A| Print "Set pupil diameter = " & pupilDiam F@t3!bj9 mv><HqDL1 'Update AZ Eye subassembly Description qK+5NF| eID = FindFullName( "Geometry.Arizona Eye" ) }ZI7J GetEntity eID, entity mDWG7 Asp entity.Description = "Accommodation = " & A & "D" im8 CmQ SetEntity eID, entity VTM/hJmwJ gUlo]!$ Update '"^'MXa Print "DONE!" bcyzhK= .}t
e>]A* End Sub VVZ'i.*_3? GyIV
Hby 如果屈光度是4,光瞳直径是4,则会输出如下数据: @~e5<:|5# ~[ jQ!tz Accommodation = 4 Diopters 6863xOv{T Pupil Diameter = 4 mm mw!F{pw Set aqueous humor thickness = 2.81 7pd$\$ Set anterior lens radius = 10.4 and conic constant = -2.375869 3]>| i Set posterior lens radius = -4.424557 and conic constant = -3.081019 /z!%d%" Set lens thickness = 3.927 F2WKd1U Set lens index of refraction = 1.42672 qM`}{
/i Set pupil diameter = 4 [
3Gf2_ DONE! sB</DS
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