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简介 &hZwZgV+3 t
Y1Et0 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。 A{,n;; )3?rXsSR 模型 "/%89 HMD ;\b@)E} 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。 Yx?aC!5M vahoSc;sw Table 1. AZ眼睛模型的定义 sy<iKCM\ 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. zQuM !. ~a+NJ6e1 光源 `6w#8} P2k7M(I_& 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。 -Wo15O" NCt~9xS. i+(GNcg2 图1. 光源和提示信息使用 K} x/ BhE+ 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。 H7IW"UkBR juno.$
6 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。 ()|3
6M><(1fT 图2. 字母F光源的设定方法光 |XcH]7Ai" SPwPCI1?
图3. 字母F在视网膜上位置点列图 eK_*q- 视网膜的散射 5:gj&jt;)7 @FX{M.. 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。 YF[$Q=7. !$kR ;Q"/ .hz2&9Ow 图4. 视网膜朗伯散射设定 dtW0\^ .L 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。 ToU.mM?f^ o~~ 9!\ @ ^.*$E5 图5. 视网膜重点采样规格设定 fi=?n{e' 脚本 5+L8\V9; ZgF/;8!~V- 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: ( pD7 euZ(}+N& 图6. 用户对话框的创建与编辑 v ($L 图7. 用户对话框编辑器
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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。 QMb^&?;s 余下的脚本计算与屈光度有关的所有参数。 TG]}X\c+V| hWxT ! 分析 /.ZaE+
|Ylg$?,9* 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 a|.20w5 6Q$BUL}2? 图7. 字母F在视网膜上颜色分析 >EBC 2WJ 脚本代码 CKC0{J8g
FNJ!IkuR Option Explicit 'Remove this to enable non-dimensioned variables to be used. 3ZN>9` d$Em\*C Dim entity As T_ENTITY 0BXs&i-TP5 Dim op As T_OPERATION A\g% Dim mat As T_MODELMATERIAL vzy!3Hiw Dim A As Double Y- ~;E3( Dim pupilDiam As Double uQ1jwYK`7 Dim eID As Long E0jUewG Dim parID As Long MCd F!{ Dim count As Integer d#7]hF Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double LaT8l?q q Dim tlens As Double, nlens As Double =M7PvH'" Dim curv As Double, conic As Double z"qv Dim ok As Long &CO|Y(+ ;_p fwa4 Sub Main D"`[6EN[ %^U"Spv; '用户输入对话框 I4ctxMVP Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 fO+UHSC TextBox 220,21,40,21,.TextBox1 'default: 0 G{O\)gf Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 /x
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.dr OKButton 40,91,90,21 We\Y \*!v CancelButton 190,91,90,21 d/4ubf+$k Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 i\vpGlx TextBox 220,49,40,21,.TextBox2 'default: 4 A`Q
>h{ End Dialog nHVPMi> Dim dlg As UserDialog V0S6M^\DK 1^tSn#j ok = Dialog (dlg) !c." N+hedF@ZU If ok=0 Then 'cancel button was pressed ~K%k
0kT Print "Execution cancelled." ?4MSgu End qkiJH T End If =kF?_K N !^]q0x 'Assign accommodation and pupil diameter & use defaults if field left empty C|9[Al If dlg.TextBox1 = "" Then pqOA/^ar A = 0 'Default accommodation )FV6, Else oFb\TiLu A = CDbl(dlg.TextBox1) U-1VnX9m End If A3<^ U i'Wcf1I-= If dlg.TextBox2 = "" Then Q|Nzbmwh pupilDiam = 4 'Default pupil diameter JR!Q,7S2!N Else VZt;P%1;h pupilDiam = CDbl(dlg.TextBox2) T0s35z9 End If "wC0eDf uvR0TIF4 Print " " xSx&79Ez<* Print "Accommodation = " & A & " Diopters" -*r [ Print "Pupil Diameter = " & pupilDiam & " mm" cl@kRX<7' >G<4Ro" ' Calculate new parameters with accommodation FLK"|*A taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ?<Z)*CF)
v*smI7aH Rant = 12.0 - 0.4*A 'Radius of anterior lens K?$9N}+ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens fYb KmB )\RzE[Cb Rpost = -5.224557 + 0.2*A 'Radius of posterior lens Av@&hD\ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens tN[St yB
1I53E tlens = 3.767 + 0.04*A 'Lens thickness zoR,RBU6 2;3x,<Cg nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction 4u@yJ?U ~K4k'
'Adjust parameters to account for accommodation K3a>^g 9cl{hdP{ '************************************************************************* Xs{/}wc.q; 'Aqueous thickness (Position of Lens) 6{cybD`Ef& '************************************************************************* FrgW7`s[A eID = FindFullName( "Geometry.Arizona Eye.Lens" ) JqL<$mSep GetCustomElement eID, entity 'Na|#tPYI 5JO[+> parID = FindFullName( "Geometry.Arizona Eye" ) %j~9O~- I/u'bDq ' Delete any shift(s) in z ~l;yr
@ count = 0 We[<BJo4 While GetOperationCount(eID)>count kqjxJ5 GetOperation eID, count, op cZPbD;e: If op.Type="ShiftZ" Then l
:f9Ih DeleteOperation eID,count }K#iCby4 count=count-1 rd|@*^k End If }".\
4B$n count=count+1 =4YbVA+( Wend _bN))9
3 pP?<[ql[w 'Set new shift in "r5'lQI op.Type = "ShiftZ" }`+O$0A op.val1 = taq .d<~a1k op.parent = parID Y9z:xE AddOperation eID, op dM);LT8@ Print "Set aqueous humor thickness = " & taq-0.55 wxdh?sQ :6\-9m8JM '************************************************************************* ^4n2
-DvG 'Radius and conic constant of anterior lens BZ]&uD|f
'************************************************************************* m]+X}| eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ;`X`c GetConic eID, entity, curv, conic jldcvW mafAC73 SetConic eID, entity, 1/Rant, CCant >=Rd3dgDG Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant X=S}WKu 7)ES!C '************************************************************************* DzX6U[= 'Radius and conic constant of posterior lens *@b~f&Lx6 '************************************************************************* ~FK+bF?% eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) oT9XJwqnv GetConic eID, entity, curv, conic Mt7X<?GZm :O>Nd\UtO SetConic eID, entity, 1/Rpost, CCpost 8EW`*+%= Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost ":(Cpf0 A;/Xt '************************************************************************* "9MX,}X* 'Lens thickness (Position of posterior lens surface) J8`1V`$ '************************************************************************* m \R@.jkZ XY$cx~ parID = FindFullName( "Geometry.Arizona Eye.Lens" ) D9@<#2- Z.cG`Km* ' Delete any z-shift(s) AR[M8RA count = 0 qB`0^V While GetOperationCount(eID)>count 6 ^6uK GetOperation eID, count, op <+mO$0h"r If op.Type="ShiftZ" Then )nbyV a DeleteOperation eID,count MO(5-R` count=count-1 6i?kkULBS End If 0X}w[^f count=count+1 l")o!N? Wend Bt`r6v;\ ;r2b@x:<_ 'Set new z-shift *I;Mp op.Type = "ShiftZ" ;Kq<',u~ op.val1 = tlens i >/@]2 op.parent = parID ":ws~Zep AddOperation eID, op ,M9hb<:m Print "Set lens thickness = " & tlens 4=#QN swe8 '************************************************************************* @)M.u3{\ 'Lens index of refraction YRT}fd>R& '************************************************************************* 8)2u@sx% eID = FindMaterial( "Lens" ) vr]dRStr GetModelMaterial eID, mat v2dSC(hRZ :;gwdZ mat.Nd = nlens 7zOvoQ} SetModelMaterial eID, mat
fjeE. Print "Set lens index of refraction = " & nlens ROI$;B( qgY(S}V '************************************************************************* 5E!|on 'Pupil diameter h11bK'TIv '************************************************************************* &b#NF1Q. eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) rt4|GVa N'1 [t 'Adjust pupil diameter (trimming volume inner hole) 3ks| Y_ u7
0@` SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" k?_$h<Y I[YfF ' Adjust pupil location to just in front of the lens ^gVbVz[17 parID = FindFullName( "Geometry.Arizona Eye" ) 8B(Q7Qj eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) (j\UoKLRt count = 0 Xwn|. While GetOperationCount(eID)>count OTr!?xi GetOperation eID, count, op r;s3(@[,@ If op.Type="ShiftZ" Then i_Q4bhVj DeleteOperation eID,count b9!J}hto, count=count-1 pz z`4VS: End If EC&19 count=count+1 '"NdT7* + Wend Hwi7oXP op.Type = "ShiftZ" Zi '8~iEH op.val1 = taq-0.01 @C6DOB op.parent = parID d(cYtM,P AddOperation eID, op LB 5EGw r4qV}-E Print "Set pupil diameter = " & pupilDiam r_2VExk kO O~%|1CP 'Update AZ Eye subassembly Description w+ )GM eID = FindFullName( "Geometry.Arizona Eye" ) zK]%qv] GetEntity eID, entity 7*W$GCd8 entity.Description = "Accommodation = " & A & "D" 'Rf#1ls# SetEntity eID, entity (inwKRH SOY#, Zu Update ~<Qxw>S# Print "DONE!" E~U|v'GCd >WG91b<Xq End Sub MkIO0&0O [aVJYr2 如果屈光度是4,光瞳直径是4,则会输出如下数据: H< 3b+Sg [}Yci:P_ + Accommodation = 4 Diopters - cC(d$y Pupil Diameter = 4 mm #SOj4W Set aqueous humor thickness = 2.81 )qQg n] Set anterior lens radius = 10.4 and conic constant = -2.375869 h.0&)t\q" Set posterior lens radius = -4.424557 and conic constant = -3.081019 dtXJ<1: Set lens thickness = 3.927 <i@jD Set lens index of refraction = 1.42672 fXR_)d Set pupil diameter = 4 GeR-k9 DONE! ~]s"PV:|
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