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简介 G9;WO* 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。 mSs%g L]g Dcq^C LPY 模型 $|AxQQ%f h1xYQF_`Z 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 0[^f9NZ>- :0/I2: Table 1. AZ眼睛模型的定义 lq74Fz&( 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. k2~j:&p CAk.2C/ 光源 u7K0m!
jW R b'"09)$ 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。 z[th@!3 o4xZaF4+ -70Ut
4B 图1. 光源和提示信息使用 ` 6PdMvF 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。 |X>:"?4t AyddkjX 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。 ~e|~c<!z8@ vq|W& 图2. 字母F光源的设定方法光 Tw$la kw V}& 图3. 字母F在视网膜上位置点列图 vb# d%1b5 视网膜的散射 =KkHck33 Jf2 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 {C
[7V{4(% 7P=j2;7 v pl5!Ih6 图4. 视网膜朗伯散射设定 bx1' 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 koFY7;_<? 6:Ra3!V"v 7yK
> 图5. 视网膜重点采样规格设定 vI4St; 脚本 vtmvvv ACs?m\$Q 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: .hUndg fn)c&|aCt 图6. 用户对话框的创建与编辑 jlItPdCv 图7. 用户对话框编辑器 H'GyWG|Wx 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 d+$a5 [^9 余下的脚本计算与屈光度有关的所有参数。 $Ad 5hkz 7cH[}v`pn 分析 &{99Owqg .Gw;]s3 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 $5l 8V lCDXFy(E 图7. 字母F在视网膜上颜色分析 SBs_rhe 脚本代码 *:wu{3g}M` w[t!?(![> Option Explicit 'Remove this to enable non-dimensioned variables to be used. p "u5wJ_ Z':}ZXy] Dim entity As T_ENTITY .xS}/^8iD Dim op As T_OPERATION K[O'@v Dim mat As T_MODELMATERIAL npZ=x-ce Dim A As Double b k 30d Dim pupilDiam As Double k1W
q$KCwG Dim eID As Long ex1b jM7 Dim parID As Long 1 %K^(J; Dim count As Integer [;%qxAB/_ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double d
H]'&&M Dim tlens As Double, nlens As Double "*a^_tsT?i Dim curv As Double, conic As Double <GT&q <4w Dim ok As Long ZBi|BD j'g':U Sub Main %&0_0BU UoCFj2?C '用户输入对话框 se2ay_<F+ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 Cwl#(;@ TextBox 220,21,40,21,.TextBox1 'default: 0 6x7pqHM Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 {dTtYL$'" OKButton 40,91,90,21 l*rli[No CancelButton 190,91,90,21 dX?8@uzu Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 1 :<f[l TextBox 220,49,40,21,.TextBox2 'default: 4 Tapj7/0` End Dialog eJlTCXeZ| Dim dlg As UserDialog ED[`Y.; Yjx*hv&? ok = Dialog (dlg) *DcJ). XDRw![H,~ If ok=0 Then 'cancel button was pressed v!JQ;OX Print "Execution cancelled." H:TRJ.!w2 End W6:ei.d+NS End If WW\t<O;z 2|8e7q: +* 'Assign accommodation and pupil diameter & use defaults if field left empty n$&xVaF| If dlg.TextBox1 = "" Then [oqb@J2 A = 0 'Default accommodation ~H`~&? Else )%FRBO] A = CDbl(dlg.TextBox1) '[g@A>xDvW End If ZUPlMHc {]ie|>'=C If dlg.TextBox2 = "" Then N{w)}me[YY pupilDiam = 4 'Default pupil diameter KG=h!]Meq Else H=,0p pupilDiam = CDbl(dlg.TextBox2) G;Jqby8d End If HY|=Z\l" aAJ'0xnj Print " " n o).70K Print "Accommodation = " & A & " Diopters" HuzHXn) Print "Pupil Diameter = " & pupilDiam & " mm" b5NPG N h' #C$i ' Calculate new parameters with accommodation %\<SSp^n taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 4AA3D!$ &Cv0oi&B Rant = 12.0 - 0.4*A 'Radius of anterior lens rRgP/E#_ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens [ed6n@/O@ xd
}g1c Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 0@ccXFE CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens x"7`,W :jo
!Yi tlens = 3.767 + 0.04*A 'Lens thickness <?h` KicPW}_ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction JzI/kH~ y{{7)G 'Adjust parameters to account for accommodation Bg3`w__l; I#?NxP\S '************************************************************************* A 9\]y%! 'Aqueous thickness (Position of Lens) >Z-f</v03 '************************************************************************* GO3F[l eID = FindFullName( "Geometry.Arizona Eye.Lens" ) "'i" @CR GetCustomElement eID, entity (?[^##03MN c:>&iB-Yu parID = FindFullName( "Geometry.Arizona Eye" ) >d1gVBhk k(As^'> ' Delete any shift(s) in z Rd#V,[d count = 0 'Ll,HgU; While GetOperationCount(eID)>count q4Z9;^S GetOperation eID, count, op s{q)P1x If op.Type="ShiftZ" Then [
QHSCF5 DeleteOperation eID,count Qqju6} + count=count-1 oz54IO End If ~ 8hAmM count=count+1 YTWlR]Tr6? Wend R>
r@[$z+ #A&(b}#:o 'Set new shift in WcE{1&PXx op.Type = "ShiftZ" ctqXzM ` op.val1 = taq ~QVN^8WPg op.parent = parID WrzyBG_ AddOperation eID, op Nhq&Sn2 Print "Set aqueous humor thickness = " & taq-0.55 "'M>%m u io8c[#"uU '************************************************************************* <|,0%bq)| 'Radius and conic constant of anterior lens DH@})TN*O '************************************************************************* ?=C?3R eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) eJh4hp;x GetConic eID, entity, curv, conic {OK+d#= JYQ.Y!X1O SetConic eID, entity, 1/Rant, CCant ^7cZ9/3 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant s*blZdP Y6J7N^ '************************************************************************* N001c)*7Q 'Radius and conic constant of posterior lens [;IW'cXNq '************************************************************************* qT
U(]O1 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) T!GX^nn*O GetConic eID, entity, curv, conic .'+*>y! )@%wj;>a SetConic eID, entity, 1/Rpost, CCpost q '6gj Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost [#}A]1N iymOq9 '************************************************************************* /~k)#44 'Lens thickness (Position of posterior lens surface) }YPW@g '************************************************************************* v7;zce/~ In%K parID = FindFullName( "Geometry.Arizona Eye.Lens" ) y-Xd~<*Ia %j
'_I\ ' Delete any z-shift(s) co
<ATx count = 0 p^=>N9 While GetOperationCount(eID)>count .iDxq8l GetOperation eID, count, op %D::$,;<< If op.Type="ShiftZ" Then F4=+xd >0 DeleteOperation eID,count K2=`. count=count-1 R`7v3{ End If )+'De count=count+1 j _r?4k Wend vY+{zGF 0zSRk]i.f 'Set new z-shift .I6:iB op.Type = "ShiftZ" lu]Z2xSv op.val1 = tlens )p,uZ`~v op.parent = parID ]e*Zx;6oi AddOperation eID, op H|E{n/g Print "Set lens thickness = " & tlens |7ga9 /zB;1%m- '************************************************************************* ||{V*"+\ 'Lens index of refraction k>W5ts2+ '************************************************************************* |*~=w J_ eID = FindMaterial( "Lens" ) UKIDFDn6_ GetModelMaterial eID, mat t}Z*2=DO OokBi 02b mat.Nd = nlens y:FxX8S$'e SetModelMaterial eID, mat }~8/a3 Print "Set lens index of refraction = " & nlens mLa0BIP Qv3g
4iJ '************************************************************************* 5&&6e` 'Pupil diameter o6H\JCne '************************************************************************* b zz{ p1e eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) V}leEf2' $!+t2P@d.5 'Adjust pupil diameter (trimming volume inner hole) auV'`PR c"vF i~Db SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" C'iJFfgR (thDv rT@2 ' Adjust pupil location to just in front of the lens "8pfLI parID = FindFullName( "Geometry.Arizona Eye" ) *O`76+iZ|_ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) o6@Hj+,, count = 0 w(lxq:>" While GetOperationCount(eID)>count c0lVt)pr/ GetOperation eID, count, op gk%8iT If op.Type="ShiftZ" Then ?*I
_'2 DeleteOperation eID,count ;$ot,mH?T count=count-1 $V X<UK$|s End If O2W EA count=count+1 /eM_:H5 Wend %h"+J op.Type = "ShiftZ" IIN"'7Z^R op.val1 = taq-0.01 #MZ0Sd8]& op.parent = parID _g%Wx?K9 AddOperation eID, op 9!XW): qO5.NIs Print "Set pupil diameter = " & pupilDiam QlbhQkn >s@6rNgf 'Update AZ Eye subassembly Description =~Ac=j!q eID = FindFullName( "Geometry.Arizona Eye" ) ^1&xt(G GetEntity eID, entity ;l]OmcL entity.Description = "Accommodation = " & A & "D" bL=32YS SetEntity eID, entity (7P{k<5 "}uPz4 Update 9]Q\Pr\Ub$ Print "DONE!" .O\z:GrSZz \wmNeGC2 End Sub 4<`x*8`
, |51z&dG 如果屈光度是4,光瞳直径是4,则会输出如下数据: gE,i
Cx R5QSf+/T4 Accommodation = 4 Diopters B_u+$Odo Pupil Diameter = 4 mm 8T5s6EmIOW Set aqueous humor thickness = 2.81 b"Hg4i) Set anterior lens radius = 10.4 and conic constant = -2.375869 NN<kO#c+2 Set posterior lens radius = -4.424557 and conic constant = -3.081019 i8$tId Set lens thickness = 3.927 F,CQAgx Set lens index of refraction = 1.42672 3r=IO# Set pupil diameter = 4 O,Xf.O1c DONE! M5C}*c9 05".;( (文章来源:讯技光电)
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