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简介 +r8:t5:/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。 haTmfh_| ">zK1t5= 模型 8rZJvE#c
(^),G-] 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。 jTSN`R9@ P_7QZ0k/ Table 1. AZ眼睛模型的定义 MK1V1F` 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. .5?e)o)
DT2uUf 光源 `LroH>_ w^BF.Nu 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。 #Jx6DQGa R%%Uw %` D^m`&asC 图1. 光源和提示信息使用 -q&K9ZCl` 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。 d1[;~) $%:=;1Jl 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。 ab-z 7g Qk5pRoL_ 图2. 字母F光源的设定方法光 0R21"]L_M K$1(HbL 图3. 字母F在视网膜上位置点列图 NUN~T ( 视网膜的散射 I-glf?F) 6y0CEly>3# 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 ]?un'$%e RA_gj lJi jV
'u*2&9 图4. 视网膜朗伯散射设定 *#y9 Pve 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。 `<#Ufi*c A
)q=.C#e ByU&fx2Z 图5. 视网膜重点采样规格设定 @A.7`*i_ 脚本 H6. c*!xdK 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: E[=#Rw!* $wm.,Vb
图6. 用户对话框的创建与编辑 S\poa:D` 图7. 用户对话框编辑器 <V
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SEi 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 <(E9U. 余下的脚本计算与屈光度有关的所有参数。 QAxR'.d "AuU5G 9'I 分析 &Hj1jM' #;(Q \ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 0Yo(pW,k xoB "hNIX 图7. 字母F在视网膜上颜色分析 ^[=1J 脚本代码 p=T6Ix'_2e F2^qf Option Explicit 'Remove this to enable non-dimensioned variables to be used. e~1$x`DH Ib}~Q@?2 Dim entity As T_ENTITY 1nZ7xCDK98 Dim op As T_OPERATION 9Od|R"aS| Dim mat As T_MODELMATERIAL Q2LAXTF]y Dim A As Double IxU#x* Dim pupilDiam As Double p!o+8Xz5 Dim eID As Long C"cBlru8B Dim parID As Long u-k!h Dim count As Integer e_h`x+\: Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double /ReOf<%B Dim tlens As Double, nlens As Double lxh}N, Dim curv As Double, conic As Double .t9*wz Dim ok As Long [ApAd +'`I]K> Sub Main %7SGQE#W_~ 1
F+$\fLr '用户输入对话框 d-ML[^G Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 aSMSuX8 TextBox 220,21,40,21,.TextBox1 'default: 0 bBp('oEJu Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ,AuejMd OKButton 40,91,90,21
B@K =^77 CancelButton 190,91,90,21 JfVGs;_, Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 _OY<Hb3%M TextBox 220,49,40,21,.TextBox2 'default: 4 s g6e%
5 End Dialog 7: .bqRu Dim dlg As UserDialog d$<1Ma} $1.l| ok = Dialog (dlg) JrJTIUf_ @D2KDV3' If ok=0 Then 'cancel button was pressed p}MH LM Print "Execution cancelled." #(dERET* End I`KBj6n End If G&,2>qxKR |>Wi5h{6X 'Assign accommodation and pupil diameter & use defaults if field left empty ;_D5]kl` If dlg.TextBox1 = "" Then 12 S[m~L% A = 0 'Default accommodation e=4k|8 G Else wg{Y6XyH A = CDbl(dlg.TextBox1) 9
:FzSD End If =G-u "QJ6 'k!V!wcD^y If dlg.TextBox2 = "" Then qp`G5bw pupilDiam = 4 'Default pupil diameter -) \!@n0 Else aj6{ pupilDiam = CDbl(dlg.TextBox2) hZDv5]V:0 End If TM$Ek^fQ. *h Bo,
Print " " }ej-Lu,b3 Print "Accommodation = " & A & " Diopters" DOGg=`XK1 Print "Pupil Diameter = " & pupilDiam & " mm" #7dM % !Z`xwk"! ' Calculate new parameters with accommodation ealh>Y taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness R WK##VHK VkDFR
[k_ Rant = 12.0 - 0.4*A 'Radius of anterior lens hP]zC1s CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens @V5'+^O V[BlT|t Rpost = -5.224557 + 0.2*A 'Radius of posterior lens }hX"A!0 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 9KLhAYaq (??|\
&DTi tlens = 3.767 + 0.04*A 'Lens thickness aShZdeC*f m[!AOln) nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ICI8xP}a? lITZ|u 'Adjust parameters to account for accommodation MB]Y|Vee *3W e5 '************************************************************************* 4,g3 c 'Aqueous thickness (Position of Lens) d8T,33>T '************************************************************************* /DQcM.3
eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 2\1\Jn#q GetCustomElement eID, entity QWWoj[d# ?G>#'T[ parID = FindFullName( "Geometry.Arizona Eye" ) 4uUR2J qnZ`]? ' Delete any shift(s) in z gDJ@s
count = 0 ,9;d"ce While GetOperationCount(eID)>count Q`X5W GetOperation eID, count, op |;B
'C# If op.Type="ShiftZ" Then tHo0q<.oX DeleteOperation eID,count B(%bBhs count=count-1 D7Nz3.j End If Pf]O'G&F count=count+1 \w=7L-
8 Wend >
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R3b Ev\kq>2O 'Set new shift in L5*,l`lET op.Type = "ShiftZ" 6@HY+RCx op.val1 = taq 4)3!n*I op.parent = parID ^D0BGC&& AddOperation eID, op NR)[,b\v Print "Set aqueous humor thickness = " & taq-0.55 :4D#hOI !jDqRXi( '************************************************************************* YMx
zj 'Radius and conic constant of anterior lens dsxaxbVj% '************************************************************************* C4P7, eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) \..(!>,%F GetConic eID, entity, curv, conic s=nE'/q1| q[3b i!Q SetConic eID, entity, 1/Rant, CCant T7.u7@V2 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant +C)auzY7N \[+\JWJj '************************************************************************* B&m?3w 'Radius and conic constant of posterior lens OQA3 ~\Vu '************************************************************************* BVC{Zq6hi eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) VrokEK*qbY GetConic eID, entity, curv, conic oLn| UWe_ b+M[DwPw SetConic eID, entity, 1/Rpost, CCpost u[jdYWQa Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost <>JDA(F" @$79$:q N '************************************************************************* Ffm Q$>S 'Lens thickness (Position of posterior lens surface) ytmlG% '************************************************************************* >~$ S! z~oGd, parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Iq\sf-1E #V8='qD
' Delete any z-shift(s) 00G[`a5 count = 0 r`cCHZo/V While GetOperationCount(eID)>count V]PTAhc GetOperation eID, count, op +WwQ!vWWd If op.Type="ShiftZ" Then
Te>7I DeleteOperation eID,count kx1-.~)p(z count=count-1 w'5~GhnP+ End If jq["z<V)x count=count+1 l{Hi5x'H Wend U&Ay3/ ^%d+nKx9nL 'Set new z-shift Vb 4Qt#o op.Type = "ShiftZ" `>8| op.val1 = tlens ?k_=?m op.parent = parID -lMC{~h\(S AddOperation eID, op 5H 1(C#| Print "Set lens thickness = " & tlens ~9oS~fP?I ~|J6M '************************************************************************* eOn,`B1 'Lens index of refraction (p14{ '************************************************************************* %e%nsj6 eID = FindMaterial( "Lens" ) o D*
' GetModelMaterial eID, mat 6XQ)Q)
Y=3Y~ mat.Nd = nlens \hM6 ykY- SetModelMaterial eID, mat jd2Fh):q Print "Set lens index of refraction = " & nlens V6$v@Zq [1nI%/</> '************************************************************************* u>S&?X'a 'Pupil diameter lGLZIp '************************************************************************* iMp)g%Ng eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) \Y!Z3CK t41cl 'Adjust pupil diameter (trimming volume inner hole) x2ol 5Ij_$a SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" Op%^dwVG(v :{66WSa@Dd ' Adjust pupil location to just in front of the lens F'j:\F6C; parID = FindFullName( "Geometry.Arizona Eye" ) K.z}%a eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) e-}PJ%!,T count = 0 \R-u+ci$ZY While GetOperationCount(eID)>count 7OWiG, GetOperation eID, count, op ,XA;S5FE If op.Type="ShiftZ" Then 0KDDAkR5R DeleteOperation eID,count n1ED _9 count=count-1 2s{yg%U( End If y
ph count=count+1 5e2mEQU> Wend `z=MI66Nl op.Type = "ShiftZ" D9LwYftZ op.val1 = taq-0.01 XPEjMm'*b3 op.parent = parID iuHG9 #n AddOperation eID, op <aHK{*'3 . t3@86xTJ Print "Set pupil diameter = " & pupilDiam mtOrb9`m 4_"ZSVq]# 'Update AZ Eye subassembly Description ,Xh4(Gn#b eID = FindFullName( "Geometry.Arizona Eye" ) _+;x4K; GetEntity eID, entity _>`0!mG entity.Description = "Accommodation = " & A & "D" ./g0T{& SetEntity eID, entity GS{9MGl tRv#%>fj Update W"Rii]GK" Print "DONE!" e+6~JbMV Z9sg6M@s End Sub {[9^@k k{bba=< 如果屈光度是4,光瞳直径是4,则会输出如下数据: V+Tj[:ok *"4<&F
S Accommodation = 4 Diopters ~clWG-i Pupil Diameter = 4 mm ~T-.k
7t Set aqueous humor thickness = 2.81 T5Fah#-4 Set anterior lens radius = 10.4 and conic constant = -2.375869 xxiLi46/ Set posterior lens radius = -4.424557 and conic constant = -3.081019 Ml3F\ fAW Set lens thickness = 3.927 53T2w,? Set lens index of refraction = 1.42672 E+2y-B)E Set pupil diameter = 4 GS,pl9#V_ DONE! .6"7Xxe]< <^~F~]wnH (文章来源:讯技光电)
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