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简介 YniZ(
~^K 8|1`Tn}o 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。 7cIC&(h5 2{Wo-B,wt~ 模型 `d75@0: 285_|!.Y 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。 +O)]^"TG \n[
392 Table 1. AZ眼睛模型的定义 T#\p%w9d 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. DZ^=*. c]6V"Bo}A 光源 'Pf_5q g(mxhD!k 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。 xKY$L* wb]*u7G
t/ Y.q>EUSH 图1. 光源和提示信息使用 o:_^gJ+| 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。 M(qxq(#{U {I`B[,* 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。 Q(lku"U' Ee&hG[sx 图2. 字母F光源的设定方法光 OQ6sv/
\;-qdV_JB 图3. 字母F在视网膜上位置点列图 >B0D/:R9 视网膜的散射 =K .r {]=v]O|, 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。 $Z/klSEf ,*7H|de7 2-~a
P 图4. 视网膜朗伯散射设定 N;<//, 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 \ZS\i4 JL.5QzA Yrpxy.1=F5 图5. 视网膜重点采样规格设定 hL0]R,t;' 脚本 wa" uFW &ik$L!iX 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: M:_!w[NiLp +O'vj 图6. 用户对话框的创建与编辑 !6Q`>s] 图7. 用户对话框编辑器 |=\91fP68` 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。 .8]Y- 余下的脚本计算与屈光度有关的所有参数。 X:Q$gO?[4 Y&s2C%jT 分析 6)ycmu;!$ U h.Sc:trA 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ;+
G9- s;J\Kc?"| 图7. 字母F在视网膜上颜色分析 z5 Bi=~=# 脚本代码 }w@gj"\H rR]-RX( Option Explicit 'Remove this to enable non-dimensioned variables to be used. k^^:;OR 6yI}1g Dim entity As T_ENTITY X/Y#U\ Dim op As T_OPERATION 71O3O7 Dim mat As T_MODELMATERIAL }kE87x' Dim A As Double =2,0Wo]$ Dim pupilDiam As Double `@|w>8bMz{ Dim eID As Long kg3ppt Dim parID As Long n>P!u71 Dim count As Integer @rO4y` Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double *zy'#`> Dim tlens As Double, nlens As Double ?>V6P_r> Dim curv As Double, conic As Double XrS\+y3 Dim ok As Long Ziz=]D_ Sj)}qM-y# Sub Main cOkgoL" 4 , H2YpZk '用户输入对话框 'S?;J ,/ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ^Dr.DWi{$ TextBox 220,21,40,21,.TextBox1 'default: 0 iITp**l Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 Uki9/QiX> OKButton 40,91,90,21 Pr+~Kif CancelButton 190,91,90,21 'L{p, Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 tWY2o3j TextBox 220,49,40,21,.TextBox2 'default: 4 M$A#I51 End Dialog HM&1yubh# Dim dlg As UserDialog -(>qu.[8= =-~;OH/ ok = Dialog (dlg) aI(>]sWJ e7xj_QH If ok=0 Then 'cancel button was pressed ni6r{eSQ Print "Execution cancelled." rGlRAn#?, End t)N;'v & End If k=/eM$": 4DLq}v 'Assign accommodation and pupil diameter & use defaults if field left empty -[R!O'N9 If dlg.TextBox1 = "" Then VXm[- A = 0 'Default accommodation !gH9 ay Else dB;3.<S= A = CDbl(dlg.TextBox1) Ue$zH"w End If G#[*|+f8 \t3qS
eWc/ If dlg.TextBox2 = "" Then J!h^egP pupilDiam = 4 'Default pupil diameter KrKu7]If6# Else TfRGA(+# pupilDiam = CDbl(dlg.TextBox2) Yv)aAWEa End If H"CUZ *8)2iv4[ Print " " {J]-<:XD Print "Accommodation = " & A & " Diopters" E'c%d[:H, Print "Pupil Diameter = " & pupilDiam & " mm" {8@\Ij G>
\Tbx ' Calculate new parameters with accommodation )%Ru#}1X6 taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness x*}bo))hb ?a.+j8pbGg Rant = 12.0 - 0.4*A 'Radius of anterior lens ] hE="z=n CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 1H{jy^sP 7 "Xn%at4 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens %f&< wC CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens ](K0Fwo`;" VC-;S7k tlens = 3.767 + 0.04*A 'Lens thickness Q$ZHv_VLx !gP0ndRJ= nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction Zb''mf\ z`$J_Cj Y 'Adjust parameters to account for accommodation ;(6P6@+o 'C?NJ~MN '************************************************************************* XU-m"_t 'Aqueous thickness (Position of Lens) mlu 3K '************************************************************************* R,Oe$J< eID = FindFullName( "Geometry.Arizona Eye.Lens" ) Q:MhjkOr} GetCustomElement eID, entity lKV"Mh+6 wW`}VKu parID = FindFullName( "Geometry.Arizona Eye" ) ?m;;D'1j $Ui&D
I ' Delete any shift(s) in z |L:Cn J count = 0 ]hTb@. While GetOperationCount(eID)>count SEF6B45}1 GetOperation eID, count, op @Doyt{|T If op.Type="ShiftZ" Then 2t1I3yA'{z DeleteOperation eID,count {G*QY%j^ count=count-1 H:S,\D?%2x End If ZR3nK0 count=count+1 MZv\ C Wend S~F` p!W[X%`) 'Set new shift in .~klG&>aV op.Type = "ShiftZ" 8_we:
9A op.val1 = taq {0yu op.parent = parID #DI$Oc AddOperation eID, op t\R; < x Print "Set aqueous humor thickness = " & taq-0.55 0 bSA_
K5"sj|d& '************************************************************************* G<qIY&D' 'Radius and conic constant of anterior lens hW2.8f$ '************************************************************************* Fhj8lVvk eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) -{g~TUz GetConic eID, entity, curv, conic n:#TOU1ix< &__DJ''+ SetConic eID, entity, 1/Rant, CCant 0SV \{]2 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant [CN$ScK, ,M6ZZ* ,e '************************************************************************* ($!KzxF3 'Radius and conic constant of posterior lens %mI~
=^za '************************************************************************* *\XH+/]+ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) m],Ud\ GetConic eID, entity, curv, conic )0CQP .v`b[4M4 SetConic eID, entity, 1/Rpost, CCpost xJ(:m<z Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost Z<z;L<tJ 9 $H2GbZ-I '************************************************************************* d53 L65[ 'Lens thickness (Position of posterior lens surface) 7'w0 '************************************************************************* wNQqfqZ L-h$Z0]_F parID = FindFullName( "Geometry.Arizona Eye.Lens" ) #V_GOy1- `T WN^0!] ' Delete any z-shift(s) =dH$2W)G count = 0 @h9MxCE! While GetOperationCount(eID)>count j,
u#K)7{T GetOperation eID, count, op jNl/!l7B If op.Type="ShiftZ" Then \,xFg w4 DeleteOperation eID,count zCe/Kukvy
count=count-1 }E&NPp> End If ^Udv]Wh count=count+1 +]!lS7nsW Wend Ka-p& Uv1< /g.]RY+u|x 'Set new z-shift c{3rl;Cs op.Type = "ShiftZ" _PXdzeI. op.val1 = tlens G*n2Ii op.parent = parID UH3t(o7O AddOperation eID, op vK$^y^ Print "Set lens thickness = " & tlens wD9a#AgEd \C|cp|A*& '************************************************************************* #Ob]]!y 'Lens index of refraction 8k!6b\Imz '************************************************************************* Wk7WK` >i eID = FindMaterial( "Lens" ) :d'
5O8 GetModelMaterial eID, mat 5vOC CW <[Oo*:A!7 mat.Nd = nlens T[uDZYx SetModelMaterial eID, mat *y7 $xa4 Print "Set lens index of refraction = " & nlens X[hM8G !~ rt:Z '************************************************************************* _"N\b%CkO 'Pupil diameter >- Bg%J9 '************************************************************************* ~L?nq@DL eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) O!F]^'! >S#ul? 'Adjust pupil diameter (trimming volume inner hole) 665[ Dn;p4T@ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" p^QZ q>v CEtR[Cu ' Adjust pupil location to just in front of the lens Y
62r parID = FindFullName( "Geometry.Arizona Eye" ) H{zPft eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) *|RS*ABte count = 0 W|R-J While GetOperationCount(eID)>count cyF4iG'M,y GetOperation eID, count, op 0|Ucd If op.Type="ShiftZ" Then yYTVXs`fVj DeleteOperation eID,count JOfV]eCL count=count-1 %}qbkkZ End If 8Qrpa o count=count+1 (6qsKX Wend nX5C<Ky op.Type = "ShiftZ" ^ddO&!U op.val1 = taq-0.01 ZF{~ih*^u op.parent = parID ?[= U%sPu= AddOperation eID, op kX;$}7n 8vD3=yK%^ Print "Set pupil diameter = " & pupilDiam ]0~qi@ R]L2(' B 'Update AZ Eye subassembly Description AV4~U:vU eID = FindFullName( "Geometry.Arizona Eye" )
(_+;R GetEntity eID, entity HeIS;gfUY entity.Description = "Accommodation = " & A & "D" Q,e*#oK3$ SetEntity eID, entity P_Uutn~ ?2`$3[ET- Update ZKdh%8C Print "DONE!" ; B$*)X9 &3DK^|Lq End Sub dOXD{c TOT
PzB 如果屈光度是4,光瞳直径是4,则会输出如下数据: .Q\\dESn" '2v f|CX Accommodation = 4 Diopters Tov&68A~e Pupil Diameter = 4 mm MOHHZApt Set aqueous humor thickness = 2.81 S+T|a:]\7 Set anterior lens radius = 10.4 and conic constant = -2.375869 -2*>`,Uu Set posterior lens radius = -4.424557 and conic constant = -3.081019 JAP(| Set lens thickness = 3.927 uqZ3Hyb Set lens index of refraction = 1.42672 Bc
^4 T1 Set pupil diameter = 4 {bkGYx5.C DONE! (!</%^ZI d*-Xuv h~UJCnzS QQ:2987619807 n|KKby.$
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