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简介 8@Zg@>, U} EaV< 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。 iV
h^; en"]u,! 模型 \8Mn[G9TL ?LJDBN 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。 YCv)DW; 3\x@G)1 Table 1. AZ眼睛模型的定义 [E9V#J89 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. (G:A^z qPh
@Bl3 光源 }ll&qb /RVy?)hVT# 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。 Yt]tRqrh;T 3V)ef$Y0 ~SI`%^L 图1. 光源和提示信息使用 r57&F`{ 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 "gm[q."n< fkLI$Cl 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。 lSMv9:N ?hqHTH:PU 图2. 字母F光源的设定方法光 D{-h2=V
;E Z5/"T 图3. 字母F在视网膜上位置点列图 "I[a]T}/ 视网膜的散射 U3Fa.bC6} 2nNBX2o&_ 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。 w_c)iJ `pMI@"m ;^XF;zpg 图4. 视网膜朗伯散射设定 75@!j[QL< 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。 *QKxrg SM57bN oRf.34 图5. 视网膜重点采样规格设定 L]wWJL 脚本 3.i$lp`t icO$9c 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: A
-C.Bi;/ r]h>Bb 图6. 用户对话框的创建与编辑 OQlmzg 图7. 用户对话框编辑器 7a$K@iWU 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。 #Hn<4g"AjM 余下的脚本计算与屈光度有关的所有参数。 RIhu9W o,-p[1b 分析 xq6
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9 5j8aMnv s 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 <z'Pj7c[ Vd+qi~kA 图7. 字母F在视网膜上颜色分析 /+V}. 脚本代码 csh@C
ckC8 _f5>r (1Q Option Explicit 'Remove this to enable non-dimensioned variables to be used. =`MxgK + JfOBZQ Dim entity As T_ENTITY :Dt]sE_d Dim op As T_OPERATION oI\Lepl* Dim mat As T_MODELMATERIAL EZ,Tc;f= Dim A As Double CP]nk0 Dim pupilDiam As Double =3h?!$#? Dim eID As Long 1K*`i( Dim parID As Long Kw%to9eh) Dim count As Integer :d AC:h Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double F"-u8in` Dim tlens As Double, nlens As Double :P2{^0$ Dim curv As Double, conic As Double f|v5itO2 Dim ok As Long c-jE1y< !W\za0p Sub Main 539fB,
<<FBT`Y[ '用户输入对话框 Y>J$OA: Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 dguN<yS-E TextBox 220,21,40,21,.TextBox1 'default: 0 0?$jC-@k: Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 mm
dQ\\ OKButton 40,91,90,21 C
vOH*K' CancelButton 190,91,90,21 )%+7"7. Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 =(==aP TextBox 220,49,40,21,.TextBox2 'default: 4 whW%c8 End Dialog #+"1">l Dim dlg As UserDialog + L\Dh.Ir g[c_rty ok = Dialog (dlg) 1zc aI^e# QmKEl|/{u If ok=0 Then 'cancel button was pressed e0"80"D Print "Execution cancelled." 1!S*z^LGl End h@2YQgw` End If 9cIKi#Bl ^XgBkC~ 'Assign accommodation and pupil diameter & use defaults if field left empty 5y~Srb?2 If dlg.TextBox1 = "" Then &cpqn2Z
A = 0 'Default accommodation CcJ%;.V,T Else ,
3&DA A = CDbl(dlg.TextBox1) p
2>\ End If TWeup6k C JYpgSr If dlg.TextBox2 = "" Then V[;^{,; pupilDiam = 4 'Default pupil diameter $=9g,39 Else Yn_v'Os2 pupilDiam = CDbl(dlg.TextBox2) `C&@6{L End If ii5dTimRJ f
q&(&(| Print " " &SW~4 {n: Print "Accommodation = " & A & " Diopters" K'c[r0Ew Print "Pupil Diameter = " & pupilDiam & " mm" 3E-dhSz:i $xqX[ocor ' Calculate new parameters with accommodation m4on<5s/ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness fzJ^`
+C36OcmT~ Rant = 12.0 - 0.4*A 'Radius of anterior lens 0K(&EpVE CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens adtgNwg [gIvB<Uv Rpost = -5.224557 + 0.2*A 'Radius of posterior lens .)c+gyaQ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens szs.B|3X@* ZA7b;{o [ tlens = 3.767 + 0.04*A 'Lens thickness GUps\:ss 7Tc^}Q nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction !!<H*9]+W; [{q])P; 'Adjust parameters to account for accommodation &a'mh q\G7T{t$. '************************************************************************* ?&JKq^9\I 'Aqueous thickness (Position of Lens) cB6LJ}R '************************************************************************* Gm[XnUR7V eID = FindFullName( "Geometry.Arizona Eye.Lens" ) BC)1FxsGf GetCustomElement eID, entity IP!`;?T= +F92_a4 parID = FindFullName( "Geometry.Arizona Eye" ) i<M
F8$ QKI g5I- ' Delete any shift(s) in z @Yw>s9X count = 0 6Zx)L|B While GetOperationCount(eID)>count wz{&0-md*' GetOperation eID, count, op 2-%9k)KH If op.Type="ShiftZ" Then !}hG|Y6s DeleteOperation eID,count avY<~-44B count=count-1 ig ^x%!; End If 8'Iei78Ov count=count+1 1oI2 Wend :j`4nXm 39bw,lRPV 'Set new shift in I&f!>y?,Z op.Type = "ShiftZ" !>:]k?$b op.val1 = taq *{(tg~2'( op.parent = parID L5wR4Ue) AddOperation eID, op p^s:s-"f\ Print "Set aqueous humor thickness = " & taq-0.55 M7=|N:/_ hm0MO,i" '************************************************************************* y9~:[ jB 'Radius and conic constant of anterior lens K(AZD&D '************************************************************************* 6J <.i eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Ud_0{%@ GetConic eID, entity, curv, conic {$I1(DYN Ry40:;MYN SetConic eID, entity, 1/Rant, CCant 'yR\%#s6 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant t4UL|fI s)#TT9BbV '************************************************************************* :)F0~Q 'Radius and conic constant of posterior lens |#sY(1 '************************************************************************* U^kk0OT^ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ),lE8A{ H GetConic eID, entity, curv, conic k54b@U52 h ,+v>(h>q SetConic eID, entity, 1/Rpost, CCpost
825 QS` Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost y;fnC5Q ~En]sj '************************************************************************* WO*dO9O 'Lens thickness (Position of posterior lens surface) NbK67p: '************************************************************************* lL,0IfC, aWY#gI{ parID = FindFullName( "Geometry.Arizona Eye.Lens" ) $XcuU
sG Y+gNi_dE ' Delete any z-shift(s) _e " count = 0 xmejoOF While GetOperationCount(eID)>count fs2y$HN GetOperation eID, count, op 5Vr#>W If op.Type="ShiftZ" Then esd9N'.Q* DeleteOperation eID,count bUe6f,8, count=count-1 ^*F'[!. p End If C?]+(P count=count+1 QtLd(&
!v Wend %>1C($^ YoSBS 'Set new z-shift QC(ce)Y op.Type = "ShiftZ" e\}'i- op.val1 = tlens HE-ErEtGB op.parent = parID MAD t$_ AddOperation eID, op dB8 e Print "Set lens thickness = " & tlens (Ft#6oK" NYeL1h)l '************************************************************************* e"ClG/M_XS 'Lens index of refraction >0cg '************************************************************************* ^xq)Q?[{ eID = FindMaterial( "Lens" ) L$?YbQo7 GetModelMaterial eID, mat d~y]7h | j rg B56LL mat.Nd = nlens QEP|%$:i
SetModelMaterial eID, mat 8-9<r Print "Set lens index of refraction = " & nlens ;".]W;I*O }x:}9iphF '************************************************************************* ,qIut|C* 'Pupil diameter cK75Chsu '************************************************************************* $Zj3#l:rK eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) " t,ZO OKnpG*)u=g 'Adjust pupil diameter (trimming volume inner hole) 9
xFX"_J 7|<-rjz^ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 58]t iP" Mlo:\ST| ' Adjust pupil location to just in front of the lens ooj^Z%9P parID = FindFullName( "Geometry.Arizona Eye" ) E0eZal], eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 1n#{c5T count = 0 mzcxq:uZ5 While GetOperationCount(eID)>count Y r8gKhv W GetOperation eID, count, op Fu65VLKh If op.Type="ShiftZ" Then 8O0]hz DeleteOperation eID,count c#a>> V count=count-1 2,p= % End If |9mGX9q count=count+1 @1V?94T1 Wend nM`pnR_ op.Type = "ShiftZ" `rpmh7*WV op.val1 = taq-0.01 ?$=Ml$ op.parent = parID F ZN}T{< AddOperation eID, op B~%SB/eu nr%P11U\c Print "Set pupil diameter = " & pupilDiam > (W\Eh{J y7LM}dH#m 'Update AZ Eye subassembly Description ZSn6JV'g eID = FindFullName( "Geometry.Arizona Eye" ) e*39/B0S GetEntity eID, entity 1r<'&f5 entity.Description = "Accommodation = " & A & "D" SA~oGgk=P SetEntity eID, entity 4TcW% G$jw#a[L Update 7
;x
to = Print "DONE!" ;e Mb$px 2 '8I/>- End Sub /Tp>aW%}" sd
|c/ayh~ 如果屈光度是4,光瞳直径是4,则会输出如下数据: 1Ch0O__2L qcfg 55]'c Accommodation = 4 Diopters ,1i l& Pupil Diameter = 4 mm lht :%Ts$ Set aqueous humor thickness = 2.81 !lI1jb" Set anterior lens radius = 10.4 and conic constant = -2.375869 !uhh_3RH Set posterior lens radius = -4.424557 and conic constant = -3.081019 :(i=> ~O Set lens thickness = 3.927 Zc=#Y Set lens index of refraction = 1.42672 hho\e
8 Set pupil diameter = 4 Pa/2]) w DONE! SKJ'6*6
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