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简介 PR=:3-#R 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。 [pOQpfo\
RKsr}-18 模型 ]q DhGt vr<6j/ty 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。 h4x*C=?A |'WaBy1 Table 1. AZ眼睛模型的定义 YB/A0 J 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. CZ*c["x2 _4iTP$7[ 光源 bE
_=L=NG jA R@?X 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 8 munw mAh0xgm _IJPZ'Hr 图1. 光源和提示信息使用 pIdJ+gu(s 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 SovK|b& @^oOXc,r$ 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。 :9N~wd ',k0_n?t 图2. 字母F光源的设定方法光 kRs(A~ngc
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-Lu 图3. 字母F在视网膜上位置点列图 ri&B%AAc 视网膜的散射 {"l_x]q
z"8%W?o> 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。 %1fH-:c=C0 Mw2?U>h1 )tGeQXVhbJ 图4. 视网膜朗伯散射设定 f^il|Obzl 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。 ]YQ[ ) ''S*B|: J
>Zd0Dn 图5. 视网膜重点采样规格设定 ;Pik}, 脚本 v;"[1w} {s!DRc]ln 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:
=,&PD(. VH7VJ [ 图6. 用户对话框的创建与编辑 O,6Upk 图7. 用户对话框编辑器 .C(Ir 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。 laN:H mR8 余下的脚本计算与屈光度有关的所有参数。 u5^fiw]C A\Rkt;: 分析 mw)KyU#l,: [<P(S~J 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 S'qEBz
h}fz`ti U 图7. 字母F在视网膜上颜色分析 -o*IJQ_ 脚本代码 O_aZ\28};C XL>v$7`# Option Explicit 'Remove this to enable non-dimensioned variables to be used. rLO1Sv <RY5ZP Dim entity As T_ENTITY /n;-f%dL Dim op As T_OPERATION T X.YTU Dim mat As T_MODELMATERIAL ?_q
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2R. Dim A As Double X[b= 25Ct Dim pupilDiam As Double V8ka*VJ(B Dim eID As Long j#d=V@=a Dim parID As Long vcs=!Ace Dim count As Integer GlYNC&,VL Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ^6s< Dim tlens As Double, nlens As Double 9,\b$?9 Dim curv As Double, conic As Double d:*,HzG Dim ok As Long R=P=?U. tcyami6D4 Sub Main
5Z/x Y& 7K3S\oPej '用户输入对话框 4E]w4BG) Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 M72. TextBox 220,21,40,21,.TextBox1 'default: 0 (hej
3;W Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 8P5yaS_ OKButton 40,91,90,21 c?B@XIl CancelButton 190,91,90,21 "&*O7cs$pA Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 %LeG.~? TextBox 220,49,40,21,.TextBox2 'default: 4 b,"gBg End Dialog zu}oeAQc$ Dim dlg As UserDialog ! iuDmL ]V*s-och' ok = Dialog (dlg) mxk :P gSQq If ok=0 Then 'cancel button was pressed _7r<RZ Print "Execution cancelled." 0o~? ]C End Z18T<e End If vw VeHjR Vm}OrFA 'Assign accommodation and pupil diameter & use defaults if field left empty \'Oi0qo> If dlg.TextBox1 = "" Then pEgQ)
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A = 0 'Default accommodation 21'I-j Else 94 58.!3 A = CDbl(dlg.TextBox1) B M5+;h ! End If |O3wAxc3W !J`>;& If dlg.TextBox2 = "" Then Hhx"47: pupilDiam = 4 'Default pupil diameter ;hb;%<xqT Else _b8&$\> pupilDiam = CDbl(dlg.TextBox2) Ji4xor End If 5{nERKaPf xR;>n[6 Print " " JDPn
Print "Accommodation = " & A & " Diopters" EH{m~x[Ei Print "Pupil Diameter = " & pupilDiam & " mm" BSt^QH-' j"6r]nc& ' Calculate new parameters with accommodation ybLl[K(D= taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness y#F`yXUj lz2B,# Rant = 12.0 - 0.4*A 'Radius of anterior lens 4/UY*Us& CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens
UhKC:<% Y,BzBUWK Rpost = -5.224557 + 0.2*A 'Radius of posterior lens }ie O CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens `-@8IZ7
v?Dc3 tlens = 3.767 + 0.04*A 'Lens thickness {l$DNnS d%+oCoeb nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction XY %er 9e|-sn 'Adjust parameters to account for accommodation \Ps}1)wT 32h}+fd '************************************************************************* *IBT!@*Q& 'Aqueous thickness (Position of Lens) 5cj]Y)I-~ '************************************************************************* @BQJKPF* eID = FindFullName( "Geometry.Arizona Eye.Lens" ) Mttt]] GetCustomElement eID, entity `pr$l 0u[Vd:()v( parID = FindFullName( "Geometry.Arizona Eye" ) e4:,W+g,9 (gW#T\Eln ' Delete any shift(s) in z A|jmp~@K)+ count = 0 2to~=/. While GetOperationCount(eID)>count =' %r"_`} GetOperation eID, count, op ^`M,ju If op.Type="ShiftZ" Then y04md A6< DeleteOperation eID,count RcJ.=?I! count=count-1 6/{V#.( End If !O|d,)$q count=count+1 J,N='~kfh Wend QuFzj`( VpmwN`
'Set new shift in z
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op.Type = "ShiftZ" w:[1,rRvT op.val1 = taq B%y?+4;zA op.parent = parID W5 l)mAv AddOperation eID, op MU_8bK9m Print "Set aqueous humor thickness = " & taq-0.55 2ed4xhV DX3xWdnr '************************************************************************* 2;8I0BH*' 'Radius and conic constant of anterior lens jnF-kia '************************************************************************* m@(8-_ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) VtM:~|v GetConic eID, entity, curv, conic j&6O1 YdgDMd-1 SetConic eID, entity, 1/Rant, CCant p7SX,kpt> Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ^7b[spqE Sr$&]R]^ '************************************************************************* SNLZU%jan 'Radius and conic constant of posterior lens qH1k '************************************************************************* Evjvaa^ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Tt^PiaS! GetConic eID, entity, curv, conic IZ9L
;"} Q4~/Tl; SetConic eID, entity, 1/Rpost, CCpost W^(:\IvV Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost A=N &(k 8]G '************************************************************************* #:q$sKQ_$ 'Lens thickness (Position of posterior lens surface) <H; z4 '*************************************************************************
_aJo7 *U<l$gajq parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ,Z3 (`ftC ZnrsJ1f: ' Delete any z-shift(s) %#AM }MWIa count = 0 5Q/&,NP While GetOperationCount(eID)>count 30BFwNE GetOperation eID, count, op GbFtX\s+5j If op.Type="ShiftZ" Then #\P\(+0K DeleteOperation eID,count j<* count=count-1 hq[:U?!Tt End If @%FLT6MY count=count+1 ,Wbr;
zb Wend NE~R&ym9 ^<$$h 'Set new z-shift g$^:2MT"aQ op.Type = "ShiftZ" ~8oti4 op.val1 = tlens h)NZG6R op.parent = parID _ ^2\/@ AddOperation eID, op {fd/:B 7T Print "Set lens thickness = " & tlens P0mY/bBU crwui 8 '************************************************************************* ;#i$5L!*B 'Lens index of refraction tfAO#h tq '************************************************************************* q.}M^iDe eID = FindMaterial( "Lens" ) 5%6{ ePh{ GetModelMaterial eID, mat sxK|0i}6 og?>Q i Tr mat.Nd = nlens *ku}.n SetModelMaterial eID, mat eb` ! Print "Set lens index of refraction = " & nlens nO\c4#ce <<SUIY@X '************************************************************************* {0(:5% 'Pupil diameter `)aIFAW '************************************************************************* xj!G9x<! eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) uY_vX\;67z M+|J;caX 'Adjust pupil diameter (trimming volume inner hole) Nn/f*GDvK yIq.
m= SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" .#OD=wkN0 m)1+D"z ' Adjust pupil location to just in front of the lens j@o
\d%.'! parID = FindFullName( "Geometry.Arizona Eye" ) @CB&*VoB eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) i"_@iN0N count = 0 vyA
`Z1 While GetOperationCount(eID)>count E2nsBP=5C GetOperation eID, count, op + g*s%^(E If op.Type="ShiftZ" Then 2=%R>&]* DeleteOperation eID,count AY(z9&;6 count=count-1 llE_-M2gH End If 2?}5U)Hg count=count+1 o0)k5P~<~ Wend v<AFcY op.Type = "ShiftZ" ~u.((GM op.val1 = taq-0.01 6rll0c~ op.parent = parID lP;X=X> AddOperation eID, op n5U-D0/Q -Pt']07E Print "Set pupil diameter = " & pupilDiam {/2
_"H3: EpCT !e 'Update AZ Eye subassembly Description DkA@KS1Dq eID = FindFullName( "Geometry.Arizona Eye" ) 1w$X;q" GetEntity eID, entity -}G>{5.A entity.Description = "Accommodation = " & A & "D" +M{A4nYY|1 SetEntity eID, entity 1
k\~% g;eoH Update R^f-j-$o] Print "DONE!" [dIlt"2fV KB5<)[bs End Sub (X?et
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x 如果屈光度是4,光瞳直径是4,则会输出如下数据: Q13>z%Rge [rO TWN Accommodation = 4 Diopters U?e.)G Pupil Diameter = 4 mm DlF6tcoI Set aqueous humor thickness = 2.81 HxnWM\ p Set anterior lens radius = 10.4 and conic constant = -2.375869 '\wZKYVN Set posterior lens radius = -4.424557 and conic constant = -3.081019 ',l}$]y5 Set lens thickness = 3.927 &57s//PrX Set lens index of refraction = 1.42672 k.6gX<T Set pupil diameter = 4 +\s&v! DONE! 2S@aG%-) &fRZaq'2R (文章来源:讯技光电)
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