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简介 Ar~{= X 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。 .CmL7
5 5`yPT>*#m> 模型 7K !GK bw;iz,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。 BD4"pcr onh?/3l Table 1. AZ眼睛模型的定义 /'`6
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uRN 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. ,lP7 ri @ V5S4E 光源 yA0Y
14\* vK'9{q|g 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。 |0DP}
`~ z (#Xca }wG|%Y#+r 图1. 光源和提示信息使用 VVN#
$ 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。 hLn&5jYHvt hs,5LV)|y 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。 FLEg0/m0 JOgmF_(>Z 图2. 字母F光源的设定方法光 a[JZ5D SNxz*`@4 图3. 字母F在视网膜上位置点列图 s#`cX0L) 视网膜的散射 @2|G|C/]O} ]nHe$x!2] 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 q|/!0MU"
3:"AFV lk~dgky@ 图4. 视网膜朗伯散射设定 Q%$i@JH`m 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(g$ d2H (A|B@a!Y> .yG8B:7N2 图5. 视网膜重点采样规格设定 :(RL8 脚本 <JJkki i!y\WaCp 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: f5N<3 m= l#|J
rU! 图6. 用户对话框的创建与编辑 q>c+bo
6 图7. 用户对话框编辑器 p0?o<AA%O 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。 I}1fEw>8 余下的脚本计算与屈光度有关的所有参数。 {MA@A5 XuA0.b% 分析 pO5v*oONz+ e$x4Ux7*" 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 tvK rc 7kOE/>P? 图7. 字母F在视网膜上颜色分析 #Xj;f^}/ 脚本代码 37,L**Dgs N.k+AQb Option Explicit 'Remove this to enable non-dimensioned variables to be used. (PyTq
5:F {W]bU{%. Dim entity As T_ENTITY TIKEg10I Dim op As T_OPERATION ~ }Kp Dim mat As T_MODELMATERIAL *C
tsFS~ Dim A As Double ,d3Q+9/ Dim pupilDiam As Double hw7~i Dim eID As Long t.gq5Y.[ Dim parID As Long G!-7ic_4 Dim count As Integer w
5!ndu Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double m`[oT\ Dim tlens As Double, nlens As Double `\nON Dim curv As Double, conic As Double ^7J~W'hI Dim ok As Long k{zs578h2 qAnA=/k` Sub Main #IH<HL)t%e ~r{\WZ. '用户输入对话框 5~v(AB(x Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 rDK;6H:u{ TextBox 220,21,40,21,.TextBox1 'default: 0 A!Knp=Gw Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 H^]Nmd8Q) OKButton 40,91,90,21 0EcC CancelButton 190,91,90,21 .G7]&5s Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 +R3\cRM TextBox 220,49,40,21,.TextBox2 'default: 4 "u .)X3 End Dialog ~% D^Ga7 Dim dlg As UserDialog 49iR8w?k Tz+HIUIxF ok = Dialog (dlg) :|*Gnu c,+L + If ok=0 Then 'cancel button was pressed |G|* Print "Execution cancelled." C.b,]7i End ^D%}V- " End If wUh3Hd' !C9ps]6 'Assign accommodation and pupil diameter & use defaults if field left empty hr)+Pk If dlg.TextBox1 = "" Then z }FiU[Hs A = 0 'Default accommodation :w?:WH?2L Else #i}# jMT A = CDbl(dlg.TextBox1) 6\NX
5Gh End If $.suu^>^w ]
P:NnKgK If dlg.TextBox2 = "" Then ~0'_K1(H pupilDiam = 4 'Default pupil diameter b#?ai3E Else L:|X/c9r[ pupilDiam = CDbl(dlg.TextBox2) h(+m<J End If R=#q"9qz _QC?:mv6- Print " " 0})7of Print "Accommodation = " & A & " Diopters" s$SU
vo1J Print "Pupil Diameter = " & pupilDiam & " mm" 'xLM>6[wz _WRR
3 ' Calculate new parameters with accommodation N'lGA;}i taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness INN/VDsJ =UI,+P: Rant = 12.0 - 0.4*A 'Radius of anterior lens -dc"N|. CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens IS5.i95m twYB=68 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens al3BWRq'f CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens (R;)
9I\ zR3lX}g tlens = 3.767 + 0.04*A 'Lens thickness Z>>gXh<e[ t5X G^3X@ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction vy2*BTU? :>AW@SoTp 'Adjust parameters to account for accommodation O]$*EiO\ 0x3 h8fs '************************************************************************* @&i#S}%/ 'Aqueous thickness (Position of Lens) {|7OmslC@ '************************************************************************* a `[?,W:q eID = FindFullName( "Geometry.Arizona Eye.Lens" ) Kdryl GetCustomElement eID, entity 1{\,5U& VrnK)za*H parID = FindFullName( "Geometry.Arizona Eye" ) c1)BGy li *tbpFk4/ ' Delete any shift(s) in z N>cp>&jV count = 0 LoV*YSDAY While GetOperationCount(eID)>count _4XoUE\\ GetOperation eID, count, op : e0R7sj If op.Type="ShiftZ" Then Yq)YS] DeleteOperation eID,count &8:iB {n count=count-1 ]$?zT`>(F End If w>9H"Q[ count=count+1 P&-D0T_ Wend L_.xr
? YN5OuKMUd' 'Set new shift in ~q#[5l(r8 op.Type = "ShiftZ" x]%4M\T`` op.val1 = taq [X$|dOm'N op.parent = parID lo>-}xd AddOperation eID, op ]'1N_m]? Print "Set aqueous humor thickness = " & taq-0.55 [#
tT o;q @LkW_ '*************************************************************************
ycAi(K 'Radius and conic constant of anterior lens [6/%V>EM '************************************************************************* &ls!IN eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) yaYIgG GetConic eID, entity, curv, conic {%+3D,$) $S)e"Po~5 SetConic eID, entity, 1/Rant, CCant um_M}t{ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant v @I^:I F|n$0vQ* '************************************************************************* LF-+5` 'Radius and conic constant of posterior lens 0-&sJ '************************************************************************* #LNB@E eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) [ ;3EzZL GetConic eID, entity, curv, conic 43orR !.Z \3y=0 SetConic eID, entity, 1/Rpost, CCpost Y(G*Yi?; Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost -SC2Zgi)A )*$ '************************************************************************* qS/71Kv' 'Lens thickness (Position of posterior lens surface) 5@%=LPV '************************************************************************* )8N)Z~h w4<u@L parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 7PQj7&m -~Z@, ' Delete any z-shift(s) sJYKt count = 0 JY050FL While GetOperationCount(eID)>count dn.c#,Y GetOperation eID, count, op EK- bvZ If op.Type="ShiftZ" Then t&Y^W < DeleteOperation eID,count omUl2C count=count-1 DRBYH( End If FDGKMGZ count=count+1 pQgOT0f Wend J\,e/{,X n4d(` 'Set new z-shift ,9l!fT?iH op.Type = "ShiftZ" :+Je989\[C op.val1 = tlens )>A%FL9 op.parent = parID px(1Ppb9 AddOperation eID, op @1qUC"Mg Print "Set lens thickness = " & tlens $gD(MKR)~ Dil4ut-$ '************************************************************************* k^%TJ.y@ 'Lens index of refraction $lG--s '************************************************************************* &MGgO\|6 eID = FindMaterial( "Lens" ) jQwg)E+o; GetModelMaterial eID, mat DkMC!Q\ V:"\(Y mat.Nd = nlens 2Z1(J% 7 SetModelMaterial eID, mat \?mU$,voI Print "Set lens index of refraction = " & nlens ()IgSj?, $MVeMgPa '************************************************************************* XuAc3~HAd 'Pupil diameter W,oV$ s^ '************************************************************************* T6?d`i i1 eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ah@GSu;7 >8HRnCyp/ 'Adjust pupil diameter (trimming volume inner hole) apWrcaj '`A67bdq) SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" nOoh2jUM By"ul:.D ' Adjust pupil location to just in front of the lens 1ZH8/1gWI parID = FindFullName( "Geometry.Arizona Eye" ) oO9iB:w eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ++RmaZ count = 0 $/(/v?3][e While GetOperationCount(eID)>count _f2iz4 GetOperation eID, count, op o>k-~v7 If op.Type="ShiftZ" Then @P*P8v8: DeleteOperation eID,count AE@Rn(1. count=count-1 '
xq5tRg> End If M(f*hOG{Y count=count+1 ;0}"2aGY Wend .;sPG op.Type = "ShiftZ" Tf]VcEF op.val1 = taq-0.01 -8J@r2 \ op.parent = parID gGz_t,= AddOperation eID, op RPqn#B t$ ~:C Print "Set pupil diameter = " & pupilDiam +( 7vmC. 4'eVFu+62 'Update AZ Eye subassembly Description "Q!{8 9Y eID = FindFullName( "Geometry.Arizona Eye" ) T//+&Sk[ GetEntity eID, entity "+"dALX{3K entity.Description = "Accommodation = " & A & "D" ^\t">NJ^ SetEntity eID, entity WQ`P^5e *m Tc4&* Update ~bQ:gArk Print "DONE!" AyXKhj#Ml !LSWg:Ev+ End Sub 6E%k{ r TgG)btQ 如果屈光度是4,光瞳直径是4,则会输出如下数据: jtC ob'n8 E$fy*enON Accommodation = 4 Diopters Z19y5?uR Pupil Diameter = 4 mm fH{$LjH( Set aqueous humor thickness = 2.81 B
~bU7.Cd Set anterior lens radius = 10.4 and conic constant = -2.375869 Ppn ZlGQ6 Set posterior lens radius = -4.424557 and conic constant = -3.081019 ag4^y& Set lens thickness = 3.927 G`K7P`m Set lens index of refraction = 1.42672 ,=yIfbFQ Set pupil diameter = 4 J\},o|WI DONE! b8Ad*f\ Xq$0% WjG (文章来源:讯技光电)
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