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简介 2TB>d+ vZ[wr@) 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。 }t }y (27bNKr 模型
>5Y%4++( Y=+pz^/" 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。 $'#hCs Nv!If$d Table 1. AZ眼睛模型的定义 !5lb+%7 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. 8."B "NR`{1f:O 光源 d>[=] EM9K^l` 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。 qKu/~0a/ ]E/^(T-O zvjp]yTx" 图1. 光源和提示信息使用 Kx,#Wg{H 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。 57 (bd0@8 %mKM9>lf# 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。 ASA ]7qyO m,YBk<Bx 图2. 字母F光源的设定方法光 2wR?ON=Q c'#w 8V 图3. 字母F在视网膜上位置点列图 %0 cFs' 视网膜的散射 BN??3F8C 1.29%O8V_ 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。 ;7,>2VTm G`1!SEae Msj(>U&}+ 图4. 视网膜朗伯散射设定 h`Ld%iN\ 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。 RLl*@SEi" (lPiv+'n _Sa7+d( 图5. 视网膜重点采样规格设定 +d/V^ <# 脚本 {vCB$@/o Lg6;FbY? 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: KV&4Ep# `^_c&y K 图6. 用户对话框的创建与编辑 h"O4r8G} 图7. 用户对话框编辑器 JK.<(=y\ 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 :Y4m3| 余下的脚本计算与屈光度有关的所有参数。 |.]sL0;4Z #Y|t,x; 分析 oUSv)G.zb M/<>'%sj 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ":igYh s>pM+PoGYd 图7. 字母F在视网膜上颜色分析 +"P!es\q 脚本代码 7LotN6H
C?OqS+ Option Explicit 'Remove this to enable non-dimensioned variables to be used. V.\12P 4$W}6v Dim entity As T_ENTITY +g.lLb*# Dim op As T_OPERATION 3.0t 5F<B Dim mat As T_MODELMATERIAL
(zIWJJw Dim A As Double 4eD>DW Dim pupilDiam As Double kH4xP3. i
Dim eID As Long $0[t<4K`yn Dim parID As Long rl/]Ym4j Dim count As Integer "+dByaY Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double bf4QW JZD Dim tlens As Double, nlens As Double G!<-9HA5 Dim curv As Double, conic As Double 1@}s: Dim ok As Long 4CH/~b1( AQ)DiH Sub Main zEBUR%9 DH IC:6EY '用户输入对话框 2=]Xe#5J=
Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 wf` e3S TextBox 220,21,40,21,.TextBox1 'default: 0 %+8"-u Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 P >>VBh? OKButton 40,91,90,21 ;N(9nX}%) CancelButton 190,91,90,21 ]=Tle&yM+T Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 V'M#."Of/ TextBox 220,49,40,21,.TextBox2 'default: 4 bI?uV;m> End Dialog $:}sm0; Dim dlg As UserDialog p uOAt (qyT,K8 ok = Dialog (dlg) ^.gBHZ 07
E9[U[ If ok=0 Then 'cancel button was pressed
>{1 i8 b@ Print "Execution cancelled." E7`Q=4@e End 4NK{RN3 End If k1_"}B5 4
Q<c I2| 'Assign accommodation and pupil diameter & use defaults if field left empty jCK 0+,; If dlg.TextBox1 = "" Then LW#$%} A = 0 'Default accommodation !kQJ6U Else uXuA4o$t- A = CDbl(dlg.TextBox1) Rm&4Pku End If w l#jSj%pd bAwFC2jO[ If dlg.TextBox2 = "" Then H"b}lf pupilDiam = 4 'Default pupil diameter 7=`_UqCV Else 0J z|BE3Y pupilDiam = CDbl(dlg.TextBox2) ,t|qhJF End If &6O0h0Vy ^3O`8o Print " " N@x5h8 Print "Accommodation = " & A & " Diopters" P. Gmj; Print "Pupil Diameter = " & pupilDiam & " mm" [AN= G!r WB|N)3-1 ' Calculate new parameters with accommodation 6|10OTVu` taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness [,TK"
'z$!9ufY, Rant = 12.0 - 0.4*A 'Radius of anterior lens LUKt!I0l CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens ?Zh,W(7W @g%^H)T Rpost = -5.224557 + 0.2*A 'Radius of posterior lens ;=lQMKx0 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens z/P^Bx]r "?Yf3G: \0 tlens = 3.767 + 0.04*A 'Lens thickness /I~(*X XtftG7r9S nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction La8 D%N g$T%
C? 'Adjust parameters to account for accommodation h
{M=V &:[hUn8jU '************************************************************************* %(ms74R+ 'Aqueous thickness (Position of Lens) t2hI^J0y '************************************************************************* tdOox87YK eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 9?I?;l{ GetCustomElement eID, entity Xmv^O ['_W< parID = FindFullName( "Geometry.Arizona Eye" ) f5P@PG]{ ?F^O7\rw ' Delete any shift(s) in z 'q7&MM'oS^ count = 0
tk66Ggi[K While GetOperationCount(eID)>count Q=?YY-*$ GetOperation eID, count, op Gq =i-I If op.Type="ShiftZ" Then ftRzgW); DeleteOperation eID,count |wkUnn4UB8 count=count-1 Q7pjF`wu End If HSlAm&Y\ count=count+1 ,r,$x4* Wend 3Bbd2[<W bF c
% 'Set new shift in -`ss7j&b3 op.Type = "ShiftZ" 2|JtRE+ op.val1 = taq @,;VMO op.parent = parID I`uOsZBO/ AddOperation eID, op fDrjR6xV Print "Set aqueous humor thickness = " & taq-0.55 v@Bk)Z k{E!X '************************************************************************* Rd,5&X$ 'Radius and conic constant of anterior lens R=<uf:ca '************************************************************************* qs3V2lvYw{ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ^-g-]?q GetConic eID, entity, curv, conic d_)VeuE2 >slGicZ0 SetConic eID, entity, 1/Rant, CCant m98w0D@Ee Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant !BEl6h C7_nA:Rc '************************************************************************* @!,W]?{ 'Radius and conic constant of posterior lens T3In0LQ '************************************************************************* Y~P*
!g eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) XG8UdR| GetConic eID, entity, curv, conic XpT+xv1`; *ulkqpO SetConic eID, entity, 1/Rpost, CCpost JB9s#` Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost x]pZcx9 6GsB*hW '************************************************************************* H57wzG{xG 'Lens thickness (Position of posterior lens surface) Xr]<v%,C '************************************************************************* j7
\y1$w ?h3t"9 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) qV:TuR-|w 2'7)D}p ' Delete any z-shift(s) 4rH:`494 count = 0 ]<:qMLg While GetOperationCount(eID)>count !f)^z9QX8 GetOperation eID, count, op *5q_fO If op.Type="ShiftZ" Then p.x!dt\1kC DeleteOperation eID,count 1aS66TS3 count=count-1 WNo< 0|X End If L
/V;; count=count+1 #s0Wx47~ Wend R y"N_Fb xMD]b 'Set new z-shift Ht&%`\9s op.Type = "ShiftZ" :z a:gs0 op.val1 = tlens ;]Ko7M(4 op.parent = parID 9 $Ud\ AddOperation eID, op (laVmU?I7 Print "Set lens thickness = " & tlens \>)#cEX5 `l}+BI`4 '************************************************************************* {7d\du&G 'Lens index of refraction (x/xqDpmBS '************************************************************************* /tu\q eID = FindMaterial( "Lens" ) cnR18NK GetModelMaterial eID, mat lJdwbuB6 ^8{:RiN6e~ mat.Nd = nlens ;Ff5ooL{ SetModelMaterial eID, mat qTrb)95 Print "Set lens index of refraction = " & nlens -"/l)1ox, qExmf%q:q '************************************************************************* `Uy4> ? 'Pupil diameter DH'0# '************************************************************************* '<% ;Nv eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) Usf7
AS= $-"V
2 'Adjust pupil diameter (trimming volume inner hole) S%2q X"8 _>(qQ-Px SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 2PG= T/ M}qrF~ ' Adjust pupil location to just in front of the lens cB|Rj}40v parID = FindFullName( "Geometry.Arizona Eye" ) xL}~R7 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) F92et<y. count = 0 qZ rv2dT While GetOperationCount(eID)>count 8mv}-; GetOperation eID, count, op Bb@m-+f If op.Type="ShiftZ" Then +w9X$<?_ DeleteOperation eID,count taqmtXU=( count=count-1 kqt.?iJw End If 6/l{e)rX2o count=count+1 3B3l)eX Wend l@<yC-Xd op.Type = "ShiftZ" 2t1u{ op.val1 = taq-0.01 v>E3|w% op.parent = parID _l$X![@6= AddOperation eID, op 7) W
B7gY\Y&M Print "Set pupil diameter = " & pupilDiam MT(G=r8 f1TYQ?e 'Update AZ Eye subassembly Description Nk@a g) eID = FindFullName( "Geometry.Arizona Eye" ) {p)=#Jd`.P GetEntity eID, entity 8bW,.to(?x entity.Description = "Accommodation = " & A & "D" y5$AAas SetEntity eID, entity sq1v._^s VY_<c 98v Update ~-K<gT/ Print "DONE!" ^K`Vqo IM*T+iRKqF End Sub c^%&-], : ?J0e4.] 如果屈光度是4,光瞳直径是4,则会输出如下数据: Lk:Sju y-k]Tr Accommodation = 4 Diopters 5#hsy;q;[ Pupil Diameter = 4 mm Lzy Ix!S Set aqueous humor thickness = 2.81 3{R7y Set anterior lens radius = 10.4 and conic constant = -2.375869 j
hr pS Set posterior lens radius = -4.424557 and conic constant = -3.081019 *$EcP`K$ Set lens thickness = 3.927 GK8x<Aq%z Set lens index of refraction = 1.42672 sB'Z9 Set pupil diameter = 4 Nx^r&pr DONE! IPEJ7n49
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