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简介 9
!V,++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。 7E;`1lh7 O&r9+r1` 模型 '}F..w/ e(vnnv?R{ 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。 D;6C2>U~L N'YQ6U Table 1. AZ眼睛模型的定义 rAS2qt 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. zin'&G>l VN]j*$5
光源 S%o6cl = e5m]mzF@ 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 `bW0Va
N UD^=@?^7 `h<>_zpjY 图1. 光源和提示信息使用 j<}y( ~ 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 ORFi0gFbA n_4BNOZ~ 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 NGkWr }[]1`2qD 图2. 字母F光源的设定方法光 M>u84|` %9_jF" 图3. 字母F在视网膜上位置点列图 [S?`OF12 视网膜的散射 ja^ yLQwG., 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 sq+cF/jo6 U%KsD 4B O;m [ 图4. 视网膜朗伯散射设定 fcw/l,k9 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 a@m
64l) OhTd>~R`< p?sFX$S 图5. 视网膜重点采样规格设定 4q\gFFV4 脚本 G@rV9 q5~"8]Dls 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: :xC1Ka%~ u\u6<[>P 图6. 用户对话框的创建与编辑 u>[hLXuB 图7. 用户对话框编辑器 S(G&{KG 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。 WTUC\}#E\ 余下的脚本计算与屈光度有关的所有参数。 IQ5'4zQg= tW%!|T5/ 分析 /<CgSW} F,@uYMQs 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ?F9c6 $| ab>>W!r@! 图7. 字母F在视网膜上颜色分析 FH7l6b,^ 脚本代码 QQQN}!xPj iy [W:<c7j Option Explicit 'Remove this to enable non-dimensioned variables to be used. ]~\%ANoi n(j5dN>] Dim entity As T_ENTITY ,9~qLQ0O Dim op As T_OPERATION ~--F?KUnL Dim mat As T_MODELMATERIAL `9Q O'^) Dim A As Double W&e}* Dim pupilDiam As Double &o7"L; Dim eID As Long VIuzBmR|\ Dim parID As Long .`/6[Zp Dim count As Integer 4td9=dNA+l Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double j9*5Kj Dim tlens As Double, nlens As Double SlD7 \X&~ Dim curv As Double, conic As Double AIt;~x Dim ok As Long !0Eo9bU%@ %( #kJZ Sub Main isor%R! =&y6mQ '用户输入对话框 A<[BR*n Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 +]0/:\(B TextBox 220,21,40,21,.TextBox1 'default: 0 b.QL\$a
& Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 d1u6*&@lf OKButton 40,91,90,21 R&MetQ~-{ CancelButton 190,91,90,21 U\(T<WX, Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 |[MtUWEW TextBox 220,49,40,21,.TextBox2 'default: 4 ~)
vz`bD1 End Dialog *q0vp^? Dim dlg As UserDialog SD]rYIu+ !^qpV7./l ok = Dialog (dlg) \' >d.'d e{}vT$- If ok=0 Then 'cancel button was pressed T;{"lp. Print "Execution cancelled." C$^WW}S End $mut v=IO End If DB.)/(zWQ b}Wm-]|+ 'Assign accommodation and pupil diameter & use defaults if field left empty z{A~d If dlg.TextBox1 = "" Then ""x>-j4 A = 0 'Default accommodation IAb-O Else _PGS"O?j A = CDbl(dlg.TextBox1) 9bu1Ax1M End If f<*-; .Tc?PmN If dlg.TextBox2 = "" Then `0Xs!f pupilDiam = 4 'Default pupil diameter g!!:o(k Else epxbTJfc pupilDiam = CDbl(dlg.TextBox2) [Ee <SB{ End If <Eh_ 5@`dKFB5 Print " " )X'ln Print "Accommodation = " & A & " Diopters" 3(=QY) Print "Pupil Diameter = " & pupilDiam & " mm" pu
Z0_1uN &6\f;T4 ' Calculate new parameters with accommodation K'S\$ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness zQx6r
. ;BW9SqlN Rant = 12.0 - 0.4*A 'Radius of anterior lens s+6tdBvzs CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens ;6{{hc4 Gw?ueui< Rpost = -5.224557 + 0.2*A 'Radius of posterior lens F3&:KZ!V&m CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens {lN G:o ~otV'= /my tlens = 3.767 + 0.04*A 'Lens thickness _t@9WA;+\ |snWO0iF nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction mjJ/rx{kbw {h~<!sEX 'Adjust parameters to account for accommodation jYnP)xX; |]tsf
/SA '************************************************************************* x(y=.4Yf+ 'Aqueous thickness (Position of Lens) (?kCo '************************************************************************* DUyUA'*4n| eID = FindFullName( "Geometry.Arizona Eye.Lens" ) #s|,oIm GetCustomElement eID, entity ?EA&kZR] !s47A"O&B parID = FindFullName( "Geometry.Arizona Eye" ) ad`=A V ] YbP}d&L ' Delete any shift(s) in z C &&33L count = 0 #gRtCoew While GetOperationCount(eID)>count ky@DH(^> GetOperation eID, count, op xHWD1> If op.Type="ShiftZ" Then &ej|DM6 DeleteOperation eID,count $QJ,V~ count=count-1 CC XOxd End If Ls{]ohP count=count+1 #E@X'jwu Wend K#a_7/!v/ vKTCS 'Set new shift in GFgh{'| op.Type = "ShiftZ" [_zoJ op.val1 = taq js)I%Z op.parent = parID !E_RD,_ AddOperation eID, op `lN
Z|U Print "Set aqueous humor thickness = " & taq-0.55 ?oQAxb& ;N!W|G '************************************************************************* B}npom\tC 'Radius and conic constant of anterior lens Zksow} % '************************************************************************* n/Dk~Q) eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) vff`Xh>k( GetConic eID, entity, curv, conic UszR. Z <O9.GHV1v SetConic eID, entity, 1/Rant, CCant wPH1g*U Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant S<"`9r)av @po|07
'************************************************************************* &1ss
@- 'Radius and conic constant of posterior lens |n\(I$ '************************************************************************* SAGECK[Ix eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) &z%DX
GetConic eID, entity, curv, conic Wj\<
)cH] e7JZk6GP#9 SetConic eID, entity, 1/Rpost, CCpost xI^nA2g Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost L+TM3*a* $d%NFc& '************************************************************************* &-4SA j 'Lens thickness (Position of posterior lens surface) JsbH'l '************************************************************************* GM>Ms!Y c4xXsUBQk parID = FindFullName( "Geometry.Arizona Eye.Lens" ) q?Av5TFf #GA6vJ4^s ' Delete any z-shift(s) Z*lZl8(` count = 0 dJUI.!hv; While GetOperationCount(eID)>count @BS7Gyw GetOperation eID, count, op &*!) d" If op.Type="ShiftZ" Then n]J;BW&Av DeleteOperation eID,count 7g&<ZZo count=count-1 v#Y9O6g]T End If c`4i#R count=count+1 +B-;.]L
T Wend `~ {0 il>XV> 'Set new z-shift #;9n_) op.Type = "ShiftZ" 1[H1l; op.val1 = tlens Y<9Lqc.i op.parent = parID =%$BFg1a( AddOperation eID, op \z)` pno Print "Set lens thickness = " & tlens
Kgu#Mi~ 3hbUus '************************************************************************* %<Kw 'Lens index of refraction AcxC$uh '************************************************************************* Z<n%~z^ eID = FindMaterial( "Lens" ) +hKH\] GetModelMaterial eID, mat 8cv [|`< (S#nA:E mat.Nd = nlens
h@"u==0 SetModelMaterial eID, mat 'Z ,T,zW Print "Set lens index of refraction = " & nlens &P3ep[]j {1]/ok2k5 '************************************************************************* &?j]L4% 'Pupil diameter 5W~-|8m '************************************************************************* coFQu ;i eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) =}Xw}X+[WY FV W&)-I 'Adjust pupil diameter (trimming volume inner hole) 8lcB.M H`X>
SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" u&s>UkR hp)k[|u; ' Adjust pupil location to just in front of the lens T*8rR" parID = FindFullName( "Geometry.Arizona Eye" ) )A H)*Mg eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ? {vY3~ count = 0 8.R~Ys* While GetOperationCount(eID)>count +^v]d_~w_ GetOperation eID, count, op mzh7E[S_,i If op.Type="ShiftZ" Then t+`>zux5(T DeleteOperation eID,count 8ECBi( count=count-1 !JC!GS"M5 End If ]@bu%_s" count=count+1 A~7q=- Wend >Lrud{ op.Type = "ShiftZ" !K319 eE op.val1 = taq-0.01 p{k^)5CR/ op.parent = parID yM-3nwk AddOperation eID, op _/
Uer} _
BUD~'Q5 Print "Set pupil diameter = " & pupilDiam o?\v
8.n )/2J|LxS 'Update AZ Eye subassembly Description Af%#&r7W eID = FindFullName( "Geometry.Arizona Eye" ) $2+(|VG4F GetEntity eID, entity ]v{TSP^/ entity.Description = "Accommodation = " & A & "D" ?3)
IzzO SetEntity eID, entity 4+j:]poYG{ ;]+p>p-# Update Ko|p&-Z; Print "DONE!" BPkqC >w s@c.nT%BYL End Sub m^rrbU+HM? a'm\6AW2) 如果屈光度是4,光瞳直径是4,则会输出如下数据: ]t|- o$FYCz n Accommodation = 4 Diopters +rA:/!b)Y Pupil Diameter = 4 mm K!a4>Du{ Set aqueous humor thickness = 2.81 8rwXbYx
x Set anterior lens radius = 10.4 and conic constant = -2.375869 f-b#F2I Set posterior lens radius = -4.424557 and conic constant = -3.081019 |w7D&p$ Set lens thickness = 3.927 3"XS#~l% Set lens index of refraction = 1.42672 ;YK{[$F
Set pupil diameter = 4 Zc Y* TGx DONE! |?KdQeL ?c!W*`yP (文章来源:讯技光电)
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