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简介 y4aSf2 j]EeL=H<P 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。 -LL49P6 }
h|1H 模型 #C1u~db 8kQ
>M 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。 YEoQIR 0c4H2RW Table 1. AZ眼睛模型的定义 sQrP,:=r# 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. n?*Fr sZ TI-8I) 光源 7/lXy3B4 0
;$[ 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 1u&}Lq( -QL_a8NL DfP4 ` 图1. 光源和提示信息使用 ^)Xl7d|m+ 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 /
%}Xiqlrd u1F@VV{ 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 Jrd:6Z 1BK-uv: 图2. 字母F光源的设定方法光 <A +VS :T(3!}4 图3. 字母F在视网膜上位置点列图 K'.aQ&2 视网膜的散射 RiC1lCE :R+}[|FV 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 p\66`\\l V|3}~(5= M=hxOta 图4. 视网膜朗伯散射设定 mGZ^K,)&OR 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 hER]%)#r F$P8"q+ Md_S};!QN6 图5. 视网膜重点采样规格设定 4(>|f_$ 脚本 X(Gp3lG
aMQfg51W: 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: ?4Z`^uy ?zW4|0 图6. 用户对话框的创建与编辑 ~;nh|v/e 图7. 用户对话框编辑器 [F4]pR( 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。 /1ZRjf^ 余下的脚本计算与屈光度有关的所有参数。 L=4%MyZ.e 3B#qQ# 分析 f0+)%gO{ >ENZ['F 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 U:xY~> oUrNz#U 图7. 字母F在视网膜上颜色分析 BH"f\oc 脚本代码 {\3ZmF 555j@ Option Explicit 'Remove this to enable non-dimensioned variables to be used. \^O&){q(9 %fB]N Dim entity As T_ENTITY {%W'Zx Dim op As T_OPERATION rEEoR'c6 Dim mat As T_MODELMATERIAL <7-:flQz~ Dim A As Double IzPnbnS} Dim pupilDiam As Double D?ojxHe Dim eID As Long Fd!Np7xw Dim parID As Long (/TYET_H Dim count As Integer [@YeQ{ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double M?m Pi 3 Dim tlens As Double, nlens As Double /
i[F Dim curv As Double, conic As Double wWjZXsOd Dim ok As Long [?z`XY_- r'!L}^n Sub Main o9I=zAGjy ~n9x
, '用户输入对话框 a=n*}. Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ,*_=w^;Rr TextBox 220,21,40,21,.TextBox1 'default: 0 MYyV{W*T> Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 fS9TDy OKButton 40,91,90,21 WUnz CancelButton 190,91,90,21 >@?!-Fy5 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 Fo\* Cr9D TextBox 220,49,40,21,.TextBox2 'default: 4 VZhtx) End Dialog H,8HGL[l Dim dlg As UserDialog >Pa&f20Hp r{oRN ok = Dialog (dlg) _{$eOwB [_kis If ok=0 Then 'cancel button was pressed hO8~Rg
Print "Execution cancelled." 'Lm\ r+$F End O^/z7, End If )wT@`p"4 g~ubivl2 'Assign accommodation and pupil diameter & use defaults if field left empty ;5S'?fj If dlg.TextBox1 = "" Then :Y4m3| A = 0 'Default accommodation |.]sL0;4Z Else 2h=QJgpCG A = CDbl(dlg.TextBox1) oUSv)G.zb End If M/<>'%sj ":igYh If dlg.TextBox2 = "" Then ::<v; `l pupilDiam = 4 'Default pupil diameter +"P!es\q Else vca]yK<u pupilDiam = CDbl(dlg.TextBox2) ylTX End If M%{,?a0V _z6_mmMp Print " " P]h-**O Print "Accommodation = " & A & " Diopters" 8&q[jxI@8 Print "Pupil Diameter = " & pupilDiam & " mm" PCqE9B)l RX])#=Cs ' Calculate new parameters with accommodation 7&O0 taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness *WzvPl$e bX*>Zm Rant = 12.0 - 0.4*A 'Radius of anterior lens ,M?K3lG\g[ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens n?a?U: ;*+wg5| Rpost = -5.224557 + 0.2*A 'Radius of posterior lens %p; 'l CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens f3;.+hJ]) I9VU,8~ tlens = 3.767 + 0.04*A 'Lens thickness q0sdL86 UiE 1TD{ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction eN,6p'& q$iGeE# 'Adjust parameters to account for accommodation H{1'OC !pJd^|4A] '************************************************************************* BmhIKXE{* 'Aqueous thickness (Position of Lens) GS)4,. '************************************************************************* XbaUmCuh eID = FindFullName( "Geometry.Arizona Eye.Lens" ) fk5$z0 / GetCustomElement eID, entity Fo.p}j+> ][?@)) parID = FindFullName( "Geometry.Arizona Eye" ) (qyT,K8 oVAY}q|wU ' Delete any shift(s) in z Oaj$Z-
f count = 0 3'jH,17lWV While GetOperationCount(eID)>count OAiSE` GetOperation eID, count, op v\ <4y P If op.Type="ShiftZ" Then -hU1wX%U DeleteOperation eID,count *S= c0 count=count-1 %=*nJvYS End If wSPwa,)7s count=count+1 Ljs4^vy<J Wend ;N?raz2mEi '_fj:dy 'Set new shift in .~AQxsGH op.Type = "ShiftZ" Va-. op.val1 = taq n4A#T#D!t3 op.parent = parID E``\Jre@ AddOperation eID, op '7yVvd Print "Set aqueous humor thickness = " & taq-0.55 L (@".{T vxZ :l '************************************************************************* bNh~=[E 'Radius and conic constant of anterior lens ^&!iq K2o '************************************************************************* /r?EY&9G eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) :8LK}TY7 GetConic eID, entity, curv, conic d>gN3}tT c`s ]ciC SetConic eID, entity, 1/Rant, CCant
%G> Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant "QLp%B,A u5I#5 '************************************************************************* cMZ- 'Radius and conic constant of posterior lens ]yV,lp '************************************************************************* m#|h22^H eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) DP6>fzsl GetConic eID, entity, curv, conic @3_."-d *wl&Zzx SetConic eID, entity, 1/Rpost, CCpost $,8}3R5} Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost >k9W+mk +@BjQ|UZ '************************************************************************* ojbms>a 'Lens thickness (Position of posterior lens surface) q c DJ '************************************************************************* EHH+)mlo z;lWr(-x parID = FindFullName( "Geometry.Arizona Eye.Lens" ) XJ6=Hg4_O VpyqVbx1 ' Delete any z-shift(s) 8T"8C count = 0 XFi!=|F While GetOperationCount(eID)>count jn._4TQ*} GetOperation eID, count, op i:n1Di1~E If op.Type="ShiftZ" Then Lt2<3DB DeleteOperation eID,count c+N\uG4 count=count-1 8c<OX! End If >p>B-m count=count+1 a+
s%9l Wend W.7XShwd*2 %ou@Y` 'Set new z-shift 4YyVh.x op.Type = "ShiftZ" get$r5 op.val1 = tlens O`TM} op.parent = parID RCY}JH>} AddOperation eID, op 19*D*dkBR Print "Set lens thickness = " & tlens k~=W1R% H:4?sR3 '************************************************************************* h:Hpz 'Lens index of refraction k*|WI$ '************************************************************************* >vZ^D eID = FindMaterial( "Lens" ) r%FfJM@! GetModelMaterial eID, mat ^+u/Lw& G~{#%i mat.Nd = nlens ;G4g;YHy| SetModelMaterial eID, mat 1+9}Xnxb Print "Set lens index of refraction = " & nlens i _YJq;( w'&QNm> '************************************************************************* Fm`c 'Pupil diameter iu'At7 '************************************************************************* Lem:zXj eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) g;\_MbfP [w?v !8l 'Adjust pupil diameter (trimming volume inner hole) R:,
|xz <4RP:2# SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" gn6 @x 0xzS9 ' Adjust pupil location to just in front of the lens ~vw$Rnotz parID = FindFullName( "Geometry.Arizona Eye" ) L%31>)8 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) O =\`q6l count = 0 9k3RC}dEr While GetOperationCount(eID)>count v 0D@`C GetOperation eID, count, op >L,Pw1Y0W[ If op.Type="ShiftZ" Then N6w!V]b DeleteOperation eID,count I0v4TjHH count=count-1 4N_iHe5U End If de,4Ms!% count=count+1 N&]_U%#Q Wend *5q_fO op.Type = "ShiftZ" r%vO^8FQ op.val1 = taq-0.01 x?n13C op.parent = parID WNo< 0|X AddOperation eID, op L
/V;; Km!~zG7< Print "Set pupil diameter = " & pupilDiam Y%#r&de VZCCMh- 'Update AZ Eye subassembly Description P"<,@Mn eID = FindFullName( "Geometry.Arizona Eye" ) YTV|]xpR GetEntity eID, entity e8VtKVcY entity.Description = "Accommodation = " & A & "D" A ?ij SetEntity eID, entity y /OPN<=* /<)kI(gf Update Bw4 _hlm Print "DONE!" #GIjU1- <iNxtD0 End Sub C#:L.qK 2M*84oh8P 如果屈光度是4,光瞳直径是4,则会输出如下数据: y9X1X{ x|U[|i,; Accommodation = 4 Diopters 1wt(pkNk Pupil Diameter = 4 mm ]=jpqxlx Set aqueous humor thickness = 2.81 &0JCZ/e Set anterior lens radius = 10.4 and conic constant = -2.375869 f/tJ>^N5 Set posterior lens radius = -4.424557 and conic constant = -3.081019 }D*5PV%d Set lens thickness = 3.927 *Fm#Qek Set lens index of refraction = 1.42672 eWU@@$9 Set pupil diameter = 4 zi= gOm DONE! ["SD'
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