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简介 >J>|+W R'1L%srTM+ 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。 |?Bb{Es pSh$#]mZ` 模型 l5fF.A7TT a-Ef$(i_ 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。 n 9N'}z #uHl Table 1. AZ眼睛模型的定义 -e(,>9Q 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. ("-`Y'"K k:k!4 光源 6kM'f}t[C !|`vW{v 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。 2i_X{!0} ?2$0aq *&sXC@^@^ 图1. 光源和提示信息使用 9HJA:k*k| 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。 {_<,5)c J0a#QvX! 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。 r]'Q5l4j6" aq<QKnU 图2. 字母F光源的设定方法光 v'W`\MKY) W99Hq1W;r 图3. 字母F在视网膜上位置点列图 6A \Z221E 视网膜的散射 2*1FW v _z(ydL* 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。 KXTx{R i1JWdHt )}i;OLw- 图4. 视网膜朗伯散射设定 b1 NB: 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。 J~URv)g 6*r3T:u3 jtFet{ 图5. 视网膜重点采样规格设定 $bv l.c 脚本
e+=IGYC [J6b5 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: zA?]AL(+YW *S$`/X 图6. 用户对话框的创建与编辑 mbm|~UwD 图7. 用户对话框编辑器 *)H&n>"e 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。 8NS1* \z 余下的脚本计算与屈光度有关的所有参数。 NDaM;` ,)JSXo 分析 aA/.EAc7 {f
}4l 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 YDMimis\H5 F6h|AF|" 图7. 字母F在视网膜上颜色分析 ' y9yx[P 脚本代码 <DjFMTCN U%,N"]` Option Explicit 'Remove this to enable non-dimensioned variables to be used. :$ "L;" 1S26Y|L) Dim entity As T_ENTITY zrJ/Fs+s Dim op As T_OPERATION z}[qk: Dim mat As T_MODELMATERIAL umo@JWr Dim A As Double wWNHZv& Dim pupilDiam As Double H!NyM}jsr Dim eID As Long Xu8_ <% Dim parID As Long 8Qg,UX Dim count As Integer c#6g[TE@ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double g@jAIy] Dim tlens As Double, nlens As Double B "z`X!\ Dim curv As Double, conic As Double L)LW5%.6 Dim ok As Long *4tJ|m6"Y6 )KLsa`RV: Sub Main `=h`:` Wqu][Wa[Z '用户输入对话框 NHCdf* Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 -^sbf. TextBox 220,21,40,21,.TextBox1 'default: 0 =tv,B3Mo Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 Pkbx/\ OKButton 40,91,90,21 8,,$C7"EP CancelButton 190,91,90,21 8C{mV^cn~ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 DGwN*>X TextBox 220,49,40,21,.TextBox2 'default: 4 z$>_c"D End Dialog x{X(Y]*1S Dim dlg As UserDialog &l=%*`On a3<.F&c+c ok = Dialog (dlg) 9p#Laei]. wf<=rW' If ok=0 Then 'cancel button was pressed AIvIQ$6} Print "Execution cancelled." K;u<-?En End {5=Iu\e End If bJo)rM:m SJtQK-%wK> 'Assign accommodation and pupil diameter & use defaults if field left empty bnz2\C9^ If dlg.TextBox1 = "" Then G' ~Z' A = 0 'Default accommodation D9;2w7v Else &_^t$To A = CDbl(dlg.TextBox1) >h0iq End If cVt
MCgx 3+_
.I{ If dlg.TextBox2 = "" Then &;%z1b>F pupilDiam = 4 'Default pupil diameter 1N_Gk& Else swBgV,; pupilDiam = CDbl(dlg.TextBox2) Nd.+Rs End If .X;zEyd 3Ms`
ajJ Print " " kgX"LQh;[G Print "Accommodation = " & A & " Diopters" +P?!yH,n Print "Pupil Diameter = " & pupilDiam & " mm" (3DjFT3
w Zr0bVe+h ' Calculate new parameters with accommodation G k9Y{ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ^T[8j/9o^ y\DR,$Py Rant = 12.0 - 0.4*A 'Radius of anterior lens +0016UgS# CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens R#ABda9 6q[|U_3I@ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens (5s$vcK CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 0^41dfdE 2nW:|*:/p6 tlens = 3.767 + 0.04*A 'Lens thickness lLO|, gBzg'Z nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction
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`.dX@< 'Adjust parameters to account for accommodation }Km+5'G'U YRXXutm '************************************************************************* uT'}_2=: 'Aqueous thickness (Position of Lens) g-0?8q5T6 '************************************************************************* Wj"\nT4 eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ^t&S?_DSZ GetCustomElement eID, entity CbmT aEaP "+oP((9 parID = FindFullName( "Geometry.Arizona Eye" ) )[d?&GK l^ P[nQDH ' Delete any shift(s) in z ,m| :U count = 0 ~c&ygL3 While GetOperationCount(eID)>count si:p98[w GetOperation eID, count, op "HCJ! If op.Type="ShiftZ" Then >wz&{9ni DeleteOperation eID,count tC0:w,C) count=count-1 "P)f,n End If LUGyc( h count=count+1 Zl5cHejM Wend I}djDtJ v~f_~v5J! 'Set new shift in k8!|WqfP op.Type = "ShiftZ" b&AGVWhh op.val1 = taq !~+"TI}_%w op.parent = parID pFfd6P AddOperation eID, op {E6M_qZ Print "Set aqueous humor thickness = " & taq-0.55 @>Y.s6a !c}?u_Z/ '************************************************************************* 4e6x1`Y{xB 'Radius and conic constant of anterior lens td*1 '************************************************************************* J!O{.v eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) C|#GODA GetConic eID, entity, curv, conic Y>Oh]? k9>2d' Q SetConic eID, entity, 1/Rant, CCant N03)G2 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant b@GL*Z Rra3)i`* '************************************************************************* 97/"5i9 'Radius and conic constant of posterior lens }HO3D.HE^ '************************************************************************* _[D6WY+
eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ( v<l9}! GetConic eID, entity, curv, conic 6n[O8^ d']CBoK SetConic eID, entity, 1/Rpost, CCpost !*[Fw1-J Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost }BTK+Tk8 O*;$))<wX '************************************************************************* F8u;C:^d 'Lens thickness (Position of posterior lens surface) ['<Q402:. '************************************************************************* up(6/-/.7 PxuE(n V[ parID = FindFullName( "Geometry.Arizona Eye.Lens" ) h(M_
K RKI BFP8. ' Delete any z-shift(s) ORVFp]gG count = 0 R,]J~TfPK While GetOperationCount(eID)>count Y[_{tS#u GetOperation eID, count, op <+7]EwVcn^ If op.Type="ShiftZ" Then T;7=05k<_ DeleteOperation eID,count DC9\Sp? count=count-1 |p4D!M+$7 End If vy:-a G count=count+1 JQi+y; Wend ??\1eo2gB ;Jh=7wx 'Set new z-shift *$%ch= op.Type = "ShiftZ" xIOYwVC op.val1 = tlens w'[^RZW:j op.parent = parID 9' $\GN{0 AddOperation eID, op @u@N&{b5" Print "Set lens thickness = " & tlens tu4-##{ Ox | ? '************************************************************************* SRU}- 'Lens index of refraction ID{62>R '************************************************************************* P\jnht eID = FindMaterial( "Lens" ) )Y@E5Tuk> GetModelMaterial eID, mat D8OW|wVE rI'kGqU mat.Nd = nlens &ikPa ,A SetModelMaterial eID, mat xbVvK+ Print "Set lens index of refraction = " & nlens 9Dat
oi EgE%NY~ '************************************************************************* vkR,Sn 'Pupil diameter `, lnBP3D" '************************************************************************* 5`_UIYcI eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) oouhP1py, be<7Vy]j 'Adjust pupil diameter (trimming volume inner hole) g!QX#_~Il [Re.sX}$Y SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" f9%M:cl =c-Y > ' Adjust pupil location to just in front of the lens +.czj,Sq parID = FindFullName( "Geometry.Arizona Eye" ) j1Ns|oph1 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) +hIC N,8! count = 0 vtByC u5 While GetOperationCount(eID)>count 3rxB]- GetOperation eID, count, op e(z'uA{! If op.Type="ShiftZ" Then 8|cQW-L DeleteOperation eID,count nB|m!fi< count=count-1 T^Lg+g+I End If r_"=DLx6 count=count+1 > w-fsL Wend oCxh[U@*D op.Type = "ShiftZ" <MQTOz
oj op.val1 = taq-0.01 >D\jyd$wh& op.parent = parID .or1*-B K AddOperation eID, op (kY wD ["u:_2!4P Print "Set pupil diameter = " & pupilDiam <rKfL`8p r|ID]}w 'Update AZ Eye subassembly Description .UGbo.e eID = FindFullName( "Geometry.Arizona Eye" ) ML!>tCT GetEntity eID, entity af>^<q entity.Description = "Accommodation = " & A & "D" lZ*V.-D^] SetEntity eID, entity 2lu A F2 d71|(`& Update x :? EL)( Print "DONE!" 8[B0[2O mS9ITe
M End Sub d#U~>wr 4!U)a 如果屈光度是4,光瞳直径是4,则会输出如下数据: W#bOx0 _'}Mg7,V Accommodation = 4 Diopters NI^jQS
M] Pupil Diameter = 4 mm oc>N| ww: Set aqueous humor thickness = 2.81 6JB*brO Set anterior lens radius = 10.4 and conic constant = -2.375869 r.ib"W#4 Set posterior lens radius = -4.424557 and conic constant = -3.081019 '},
8x? Set lens thickness = 3.927 !+)5?o Set lens index of refraction = 1.42672 @Rw]boC Set pupil diameter = 4 /J5)_>R: DONE! =J GL~t?
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