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简介 y
8./)W&/ 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。 x:Nd>Fb .F*2]xj@" 模型 6BPZ2EQ e 1k\:]6 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。 9gz"r _:tclBc8R Table 1. AZ眼睛模型的定义 s\-^vj3 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. ,;_D~7L _z3Hl?qk= 光源 kOe~0xoT@u ,Cj8{s&; 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。 wq( m%F D(GAC!|/] (\^)@Y 图1. 光源和提示信息使用 >%"Q]p 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。 L-ZJ[#D zn4Yo 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。 C+WHg-l Efb S*f5 图2. 字母F光源的设定方法光 biFN]D F7(~v2| 图3. 字母F在视网膜上位置点列图 oadlyqlw# 视网膜的散射 P80z@! SZ9xj^"g 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。 #0-!P+c[ $Xlyc.8YId Cf_Ik 图4. 视网膜朗伯散射设定 4LU'E%vlC 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 ax0:v!,e mne^PSI: nI4xK 图5. 视网膜重点采样规格设定 HY]vaA` 脚本 dkV%Pyj 7p?6j)rj 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: OpwZTy}1} J! 4l-.- 图6. 用户对话框的创建与编辑 Ne]/ sQ0 图7. 用户对话框编辑器 B[ f{Ys 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 Ih}I`wY- 余下的脚本计算与屈光度有关的所有参数。 6,'!z
?d% jl<rxO?-F 分析 b; SFnZa8 auP:r 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 (8s]2\/Ar IbpE@C 图7. 字母F在视网膜上颜色分析 KJa?TwnC 脚本代码 5eC5oX> DA
oOs}D Option Explicit 'Remove this to enable non-dimensioned variables to be used. VI%879Z\e h2Ifq!(: Dim entity As T_ENTITY r*/Pyh Dim op As T_OPERATION ^zGgvFf> Dim mat As T_MODELMATERIAL g 1\4Jb Dim A As Double OwP9=9}; Dim pupilDiam As Double :^SpKe(7 Dim eID As Long G'(
%8\ Dim parID As Long yZ,k8TJ", Dim count As Integer i:WHql"Kw_ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double oll~|J^sg Dim tlens As Double, nlens As Double (j u-r*0 Dim curv As Double, conic As Double qy@gW@IU Dim ok As Long }H{{ @RU +asJV1a Sub Main xIF
z@9+k u+s#Fee I '用户输入对话框 %^"T z,f Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 vjJ!d#8 TextBox 220,21,40,21,.TextBox1 'default: 0 @Qx|!% Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 i^uC4S~ OKButton 40,91,90,21 f?F
i{m CancelButton 190,91,90,21 o lNL|WJ`w Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 >"F~%D<. TextBox 220,49,40,21,.TextBox2 'default: 4 G=3/PYp End Dialog ~0fT*lp Dim dlg As UserDialog mN?'Aey 'oTcx Jx ok = Dialog (dlg) ##u+[ ! Y[T;j p(k If ok=0 Then 'cancel button was pressed ,I=ClmR Print "Execution cancelled." )QTk5zt End %kJ:{J+w] End If _OcgD< !j4C:L3F 'Assign accommodation and pupil diameter & use defaults if field left empty ;FZ\PxN If dlg.TextBox1 = "" Then 5S$HDO& A = 0 'Default accommodation )X\.Xr-6q Else
$7)O&T*q' A = CDbl(dlg.TextBox1) ;lX:EU End If v! @/ dWD,iO_"@ If dlg.TextBox2 = "" Then %8$JL=c pupilDiam = 4 'Default pupil diameter R^](X* Else 2k"a%#H8 pupilDiam = CDbl(dlg.TextBox2) uA!T@>vl End If uh#PZ
xnP FEaf&'G] Print " " #jr;.;8sQ Print "Accommodation = " & A & " Diopters" 'xStA Print "Pupil Diameter = " & pupilDiam & " mm" u{H,i(mx? M=o,Sav5* ' Calculate new parameters with accommodation 9aZ3W<N`M taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness j\dkv_L rxa"ji!) Rant = 12.0 - 0.4*A 'Radius of anterior lens Cqg}dXn' CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 6{lWUr J-?\,N1R7 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens T,7Y7MzF CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens (P`{0^O"} )r?i^D&4 tlens = 3.767 + 0.04*A 'Lens thickness jI;bVG
|,sUD/rt nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction mu"]B] 0A?w,A`" 'Adjust parameters to account for accommodation d*A >P U%k e5uwP '************************************************************************* K/\#FJno 'Aqueous thickness (Position of Lens) }%k"qW<Y '************************************************************************* yH#;k:O= eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ~O1*] GetCustomElement eID, entity #(aROTV5a 3<mv9U( parID = FindFullName( "Geometry.Arizona Eye" ) "mPa>`? sWavxh8A ' Delete any shift(s) in z 1v2wP2]|; count = 0 34;c00 While GetOperationCount(eID)>count g=U?{<8.m GetOperation eID, count, op 7vj[ AOq3l If op.Type="ShiftZ" Then XIjSwR kYJ DeleteOperation eID,count pHg8(ru| count=count-1 sM5 w~R>Y End If ?sS'T7r
v count=count+1 M\v4{\2l0
Wend "apv)xdW [tD*\\IA 'Set new shift in .k*2T<p$rC op.Type = "ShiftZ" V'mpl op.val1 = taq !zJ.rYZ=g` op.parent = parID M;iaNL( AddOperation eID, op 3@"VS_;? Print "Set aqueous humor thickness = " & taq-0.55 )<^ ~${$U X! 2|_ '************************************************************************* <BU|?T6~ 'Radius and conic constant of anterior lens GrQl3 Xi '************************************************************************* 8OFrW.>[ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) \3LD^[qi GetConic eID, entity, curv, conic >8JvnBFx= epG;=\f}m` SetConic eID, entity, 1/Rant, CCant NXmj<azED Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant =u'/\nxCF GUp51*#XR '************************************************************************* &pba~X.u 'Radius and conic constant of posterior lens S~TJF}[k^6 '************************************************************************* h{JVq72R eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ,3n}*"K GetConic eID, entity, curv, conic f:UN~z'yr -{7N]q)} SetConic eID, entity, 1/Rpost, CCpost hT]p8m
aRZ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost <Ihn1? o>*{5>#k' '************************************************************************* 'PYl%2 'Lens thickness (Position of posterior lens surface) eoL)gIM% '************************************************************************* B}FF |0< 2 sOc]L:9 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ^7''x,I MnS"M[y3 ' Delete any z-shift(s) uB^]5sqfk count = 0 3AL.UBj&} While GetOperationCount(eID)>count }GC{~
SZ4 GetOperation eID, count, op jF5JpyOc If op.Type="ShiftZ" Then U^YPL,m1 DeleteOperation eID,count gU%GM count=count-1 g Q9ff, End If 8&;dR count=count+1 T*ic?! Wend Sh*P^i.]+ <|_Ey)1
6 'Set new z-shift &p%c tg op.Type = "ShiftZ" PaZYs~EO
op.val1 = tlens Iymz2 op.parent = parID 950b9Vn& AddOperation eID, op Rq9gtx8,= Print "Set lens thickness = " & tlens :ox CF0Y M@K[i*e '************************************************************************* #.='dSj 'Lens index of refraction MDq @:t '************************************************************************* \*N1i`99 eID = FindMaterial( "Lens" ) o MAK[$k; GetModelMaterial eID, mat fI|1@e1 k$2Y)
mat.Nd = nlens \[&]kPcDl SetModelMaterial eID, mat Ygl!fC
4b Print "Set lens index of refraction = " & nlens F)IP~BE-k 9e5UTJ '************************************************************************* `otQ'e~+t 'Pupil diameter f1{ckHAY55 '************************************************************************* 8B+uNN~%] eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) k);!H + )?WoLEjq 'Adjust pupil diameter (trimming volume inner hole) ;$i'A&)OC IW#(ICeb SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" x'qgpG}?] O?!"15 ' Adjust pupil location to just in front of the lens ep!.kA=\ parID = FindFullName( "Geometry.Arizona Eye" ) 9T1G/0k- eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) |H4'*NP" count = 0 U&XoT-p$L While GetOperationCount(eID)>count 1:t>}[Y GetOperation eID, count, op 34=0.{qn If op.Type="ShiftZ" Then =jN]ckn DeleteOperation eID,count 9wC; m : count=count-1 Xy{+=UY End If j$^]WRt count=count+1 2$91+N*w9 Wend vn<S" op.Type = "ShiftZ" C0%%@
2+ op.val1 = taq-0.01 UPYM~c+} op.parent = parID }0(
Na AddOperation eID, op nM`) `!/ Q [{vU Print "Set pupil diameter = " & pupilDiam K?4(o u R;o_ * 'Update AZ Eye subassembly Description `{Jb{L@f eID = FindFullName( "Geometry.Arizona Eye" ) 'gGB-=yvbO GetEntity eID, entity Nt8( entity.Description = "Accommodation = " & A & "D" ^n/uY94E)p SetEntity eID, entity 0 *\=Q$Yy c0 |p34 Update q~n2VU4L* Print "DONE!" "ivqh{ , v,&2!Zv End Sub 8=~>B@' 4B`Rz1QBy 如果屈光度是4,光瞳直径是4,则会输出如下数据: U\ued=H zTLn*? Accommodation = 4 Diopters eW0=m:6 Pupil Diameter = 4 mm meR2"JN' Set aqueous humor thickness = 2.81 3p4?-Dd|_$ Set anterior lens radius = 10.4 and conic constant = -2.375869 D;]% Set posterior lens radius = -4.424557 and conic constant = -3.081019 7o. 'F Set lens thickness = 3.927 }H=OVbQor Set lens index of refraction = 1.42672 "> 3@<f> Set pupil diameter = 4 l i-YkaP DONE! wY#mL1dF AX+d? M (文章来源:讯技光电)
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