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简介 IkGfnXJ =Xqc]5[i 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。 e=+?K5q{P( 6BCf:mqP 模型 #3+!ee27# i*@<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。 s;6CExH <OIIoB?t Table 1. AZ眼睛模型的定义 x;8A!8w 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. id1s3b; !lj| cT9 光源 <c2'0I > Z7= `VNHc 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。 #~<0t(3Q ,"HL~2:~ ybY]e; v*O 图1. 光源和提示信息使用 !;KCU^9 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。 <|SRe6m lc~%= 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。 j4cwI90= ~2gG(1%At9 图2. 字母F光源的设定方法光 ,uSQNre\j a_'2V; 图3. 字母F在视网膜上位置点列图 hMykf4 视网膜的散射 }<9cL' N _86t 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。 YJJB.hR+ "gDb1h)8 ]zWon~ 图4. 视网膜朗伯散射设定 IrqZi1 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。 'qOREN 5'X ]k@m_ c'S,hCe* 图5. 视网膜重点采样规格设定 %nV]ibp2) 脚本 v5QqS8u_C
?B}{GL2) 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: !BOY@$Y c+hQSm|bf) 图6. 用户对话框的创建与编辑 U'<KC"f:'! 图7. 用户对话框编辑器 NbU [l 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 -T[lx\} 余下的脚本计算与屈光度有关的所有参数。 ^$'z!+QRM CTZh0x 分析 y"H*%] +h r@#n4A 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 /XzH?n/{R Ljx(\Cm 图7. 字母F在视网膜上颜色分析 vJ-q*qM1 脚本代码 LQngK7> b"vv>Q~U Option Explicit 'Remove this to enable non-dimensioned variables to be used. !U'QqnT ,^eYlmT>6 Dim entity As T_ENTITY aD=A^ktx Dim op As T_OPERATION DUC#NZgw Dim mat As T_MODELMATERIAL C'o64+W^ Dim A As Double vM*($qpAy Dim pupilDiam As Double OslL~< Dim eID As Long / ;,Md,p Dim parID As Long \ytJ=0r Dim count As Integer @jsDq
Ln Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double VBcy9|lD Dim tlens As Double, nlens As Double :$m}UA-9 Dim curv As Double, conic As Double =1 Oj*x@*4 Dim ok As Long C
ihAU" }l],.J\BGX Sub Main R}4So1 ,u`YT%&L '用户输入对话框 Pl"Nus Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 JAQb{KefdO TextBox 220,21,40,21,.TextBox1 'default: 0 S/ODqL| Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 %Ntcvp) OKButton 40,91,90,21 uoX:^'q
CancelButton 190,91,90,21 \8?Tdx= Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 C0}IE,] TextBox 220,49,40,21,.TextBox2 'default: 4 :qIXY/ End Dialog RWgNo#< Dim dlg As UserDialog EioB%f3 PEuIWXr ok = Dialog (dlg) n3D;"a3 hR
Ue<0o: If ok=0 Then 'cancel button was pressed 2gq9k}38 Print "Execution cancelled." |,!IZ-
th End lJis~JLd` End If ] 0B2#
d ),ma_{$N 'Assign accommodation and pupil diameter & use defaults if field left empty j{9D{ If dlg.TextBox1 = "" Then !VI]oRgP A = 0 'Default accommodation |(q9" Else Y<Fz)dQo A = CDbl(dlg.TextBox1) A#95&kJpy End If 8_tK4PwP #R.-KUW: If dlg.TextBox2 = "" Then ( 8c9 /7h pupilDiam = 4 'Default pupil diameter .[JYj(p Else =yyp?WmC8 pupilDiam = CDbl(dlg.TextBox2) N,;5{y1;J End If 8@2OJ =`[ "huFA|` Print " " oze& Print "Accommodation = " & A & " Diopters" T3pmVl Print "Pupil Diameter = " & pupilDiam & " mm" m/y2WlcRx [3--(#R\}? ' Calculate new parameters with accommodation |>JS!NM
I taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness a8 mVFm =MLcm^b Rant = 12.0 - 0.4*A 'Radius of anterior lens \8 h;K>=h CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens KjE+QUa Q&eQQ6b^Ih Rpost = -5.224557 + 0.2*A 'Radius of posterior lens )_i
qAqkS CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens W>p-u6u%E| @Q/-s9b tlens = 3.767 + 0.04*A 'Lens thickness (C@~3!AVa .On|uC)! nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction Lg*B>= pD01,5/ 'Adjust parameters to account for accommodation naw0$kXTA bdibaN-h '*************************************************************************
S4h:|jLUF 'Aqueous thickness (Position of Lens) \u>"s '************************************************************************* f1 _<G eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 3T}izG] GetCustomElement eID, entity :9_L6 f'aVV! parID = FindFullName( "Geometry.Arizona Eye" ) nCj2N,mT .NvQm]N0. ' Delete any shift(s) in z PUBWZ^63 count = 0 'toa@5 While GetOperationCount(eID)>count +{W>i; U GetOperation eID, count, op (Xq)p y9 If op.Type="ShiftZ" Then vL\&6n~M> DeleteOperation eID,count Z<SLc,]^ count=count-1 L.1_(3NG End If ( 2n>A D_ count=count+1 ^*S)t.
" Wend \e'R@ C~N/A73gF 'Set new shift in "Za>ZRR op.Type = "ShiftZ" MF'$~gxo op.val1 = taq R@6zGZ1 op.parent = parID SOi*SwQ8 AddOperation eID, op Y<Xz
wro0 Print "Set aqueous humor thickness = " & taq-0.55 ,XIz?R>;c jp"JafS/E '************************************************************************* l#H#+*F 'Radius and conic constant of anterior lens 8&3V#sn' '************************************************************************* 3`B6w$z>( eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) *IY*yR6 GetConic eID, entity, curv, conic IuOgxm~Y )6Ny1x+ SetConic eID, entity, 1/Rant, CCant bX*Hi#J~A Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant {
Q`QX`# =}v}my3y" '************************************************************************* %T)oCjM[\ 'Radius and conic constant of posterior lens Lv'D^'I '************************************************************************* dz*7gL;7G eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Nv/v$Z{k GetConic eID, entity, curv, conic j^;I3_P N#Zhxu,g! SetConic eID, entity, 1/Rpost, CCpost y6IXd W Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost -#2)?NkeE )YX 'N<[ '************************************************************************* 'C:>UlzLy 'Lens thickness (Position of posterior lens surface) P '>SmQ '************************************************************************* |d*&y#kV 9XRZ$j}L parID = FindFullName( "Geometry.Arizona Eye.Lens" ) kIGbG;"_ Wo7F ' Delete any z-shift(s) (q4),y<:[ count = 0 `S2[5i While GetOperationCount(eID)>count .GsO.#p{ GetOperation eID, count, op n%k!vJ)] If op.Type="ShiftZ" Then &g.+V/<[ DeleteOperation eID,count 5o6>T! count=count-1 GF>'\@Th End If m^H21P"z count=count+1 L dm?JrU Wend 0MkSf* CMCO}# 'Set new z-shift z%e8K( op.Type = "ShiftZ" ~5 *5 op.val1 = tlens XP1~d>j op.parent = parID -Y
H< AddOperation eID, op Pp|*J^U 4 Print "Set lens thickness = " & tlens .9"Y_/0 3nu^l'WQ '************************************************************************* qWx][D" 'Lens index of refraction xw3YK!$sIF '************************************************************************* ']>Mp#j eID = FindMaterial( "Lens" ) d , Y#H0` GetModelMaterial eID, mat o.'g]Q<}UB %^8^yZz mat.Nd = nlens HS.^y
x SetModelMaterial eID, mat .{=$!8|&I9 Print "Set lens index of refraction = " & nlens x#Q>J"g ecgtUb8K '************************************************************************* gF0q@M y~ 'Pupil diameter V`RNM%Y '************************************************************************* S3@|Q\*r eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) v$7EvFS 9!Ar`Io2@ 'Adjust pupil diameter (trimming volume inner hole) ]ZoD'-, GQl$yZaK{ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" DF
g,Xa# .-IkL|M ' Adjust pupil location to just in front of the lens XO9M_*Va parID = FindFullName( "Geometry.Arizona Eye" ) 9&2Vm;F_ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 1I*7SkgKv count = 0 !
/NG.Wf While GetOperationCount(eID)>count \T\b NbPn GetOperation eID, count, op d5>H3D{49 If op.Type="ShiftZ" Then v\,N 5 DeleteOperation eID,count 6sE{{,OGB count=count-1 aj"M>zd*} End If RiTa \ count=count+1 =Me5ftw Wend yY&3p1AxW] op.Type = "ShiftZ" qBQ`~4s op.val1 = taq-0.01 tBm_YP[ op.parent = parID ]/!<PF AddOperation eID, op Z{
u a=0 h@@nR(<i Print "Set pupil diameter = " & pupilDiam a3VM' "
beQZG 'Update AZ Eye subassembly Description !bD@aVf?5 eID = FindFullName( "Geometry.Arizona Eye" ) d @*GUmJ GetEntity eID, entity g1UGd entity.Description = "Accommodation = " & A & "D" \(Pohw WWo SetEntity eID, entity 1O!/g 7]BW[~77 Update {\z({Wlb] Print "DONE!" V=X:= TP}h~8 /; End Sub 8:o<ry ~-#yOu
,w 如果屈光度是4,光瞳直径是4,则会输出如下数据: /Ux*u# oM2UzB{( Accommodation = 4 Diopters ZKz,|+X0G Pupil Diameter = 4 mm r,]#b[:.s| Set aqueous humor thickness = 2.81 K9kUS Set anterior lens radius = 10.4 and conic constant = -2.375869 ~fa(=.h Set posterior lens radius = -4.424557 and conic constant = -3.081019 Dgql?+2$ Set lens thickness = 3.927 QnI.zq
V Set lens index of refraction = 1.42672 5I,gBT|B Set pupil diameter = 4 c.|l-zAeX DONE! WA$>pG5s
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