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简介 rmoEc]kt] zXPj7K* 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。 [cs8/Q8+ .HJHJ.Js8X 模型 /Loe y
2xj`cFT 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。 p5BcDYOw` _(
Cp Table 1. AZ眼睛模型的定义 55KL^+-~ 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. tC~itU=V {<BK@U 光源 \./2Qc, {<8#T`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。 py4_hj\v U<gw<[>f B 1.@K } 图1. 光源和提示信息使用 Lj,%pz J 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。 4w[ta?&6B "VCr^' 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。 ,Ou)F;r cv1L!Ce, 图2. 字母F光源的设定方法光 "G(/MT^C 1nmWL0 图3. 字母F在视网膜上位置点列图 t$|6}BX 视网膜的散射 aoX$,~oI5 6*Qpq7Ml 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。 (#`o>G( =c4U%d2 @]4 s&;
图4. 视网膜朗伯散射设定 xn[di-LF 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。 9$i`B>C~ [X]o` AG2jl/ 图5. 视网膜重点采样规格设定 cxdM!L; ` 脚本 1jVcL)szU .m51/X&*n 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: H0 t1& : u>Hx#R<*% 图6. 用户对话框的创建与编辑 @su,w,xLS 图7. 用户对话框编辑器 TXv#/@ 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 Bw[V K7 余下的脚本计算与屈光度有关的所有参数。 PN=yf@<V3F 4Rq"xYGXh 分析 {\I\4P K6oLSr+EAK 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 I^=M>_s4 n9 DFa3 图7. 字母F在视网膜上颜色分析 ~ .-'pdz% 脚本代码 Gx($q;8 cyyFIJj] Option Explicit 'Remove this to enable non-dimensioned variables to be used. GYO"1PM xH uyfQLk Dim entity As T_ENTITY ?Fu.,srt Dim op As T_OPERATION AaVlNjB Dim mat As T_MODELMATERIAL "H8N,eb2 Dim A As Double XlPy(> Dim pupilDiam As Double T8LwDqio Dim eID As Long ,H8Pmn? Dim parID As Long Dlp::U*N' Dim count As Integer aL}_j#m{ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ~MF. M8 Dim tlens As Double, nlens As Double !WXSrICX[ Dim curv As Double, conic As Double fsoS!6h0k Dim ok As Long qS>el3G =UN:IzT Sub Main gO%3~f!vY# 1|--Xnv '用户输入对话框 wvD|c%
Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 T=vI'"w TextBox 220,21,40,21,.TextBox1 'default: 0 {1[8,Ho Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 `KN{0<Ne OKButton 40,91,90,21 PQ" Dl=, CancelButton 190,91,90,21 fy5)Tih%.* Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 nm..$QL TextBox 220,49,40,21,.TextBox2 'default: 4 O#g31?TO End Dialog 1ARIZ;H Dim dlg As UserDialog utv.uwfat V!p;ME ok = Dialog (dlg) f|!zjX` 8}2
`^<U If ok=0 Then 'cancel button was pressed o'G")o Print "Execution cancelled." G6FknYj End rnUe/HjH End If x\WKsc =x>KA*O1 'Assign accommodation and pupil diameter & use defaults if field left empty L,$9)`j If dlg.TextBox1 = "" Then ? T9-FGW A = 0 'Default accommodation _F3 :j9^ Else j1)w1WY0@ A = CDbl(dlg.TextBox1) Ktoxl+I? End If %5b2vrg~* }QK-@T@4< If dlg.TextBox2 = "" Then R/=yS7@{) pupilDiam = 4 'Default pupil diameter 1jR<H$aS Else w5p+Yx=q pupilDiam = CDbl(dlg.TextBox2) /n_N`VJ7H End If ] '..G- bLg1Dd7Q Print " " x(A.^Yz Print "Accommodation = " & A & " Diopters" R"jX9~3Ln Print "Pupil Diameter = " & pupilDiam & " mm" d4/ZOj+% 0oD?4gn ' Calculate new parameters with accommodation se&:Y&vrc~ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness o4xZaF4+ EyhQjsaT Rant = 12.0 - 0.4*A 'Radius of anterior lens Q/':<QY CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens ` 6PdMvF b?z 8Yp6 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens U.&=b<f(0r CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens -g~$HTsGm WK-WA$7\ tlens = 3.767 + 0.04*A 'Lens thickness )l^w _; Y%2<}3P nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction uv, t(a.^ _("{fJ,A 'Adjust parameters to account for accommodation }JS?42CTaV I<DS07K '************************************************************************* WlU5`NJl]2 'Aqueous thickness (Position of Lens) <S<(wFE@4 '************************************************************************* ."dmL= eID = FindFullName( "Geometry.Arizona Eye.Lens" ) CQS34&G$a GetCustomElement eID, entity o}<}zTU k@^)>J^ parID = FindFullName( "Geometry.Arizona Eye" ) @X:P`?("^ QM
O OJA ' Delete any shift(s) in z %A04'dj`zQ count = 0 cJ&%XN While GetOperationCount(eID)>count I_4'9 GetOperation eID, count, op ^b'[81% If op.Type="ShiftZ" Then }{s<!b DeleteOperation eID,count 7^=O^!sa count=count-1 6#v"+V End If t68h$u count=count+1 &q>=6sQvf Wend BDpeAF8z xI$B",?( 'Set new shift in ~nw]q<7r op.Type = "ShiftZ" $5l 8V op.val1 = taq lCDXFy(E op.parent = parID X2~>Z^,
U AddOperation eID, op kP3'BBd, Print "Set aqueous humor thickness = " & taq-0.55 U]O7RH Drz#D1-2 '************************************************************************* s J,:[ 'Radius and conic constant of anterior lens i!9yN:m0 '************************************************************************* a8''t_Dp eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) #7GbG\ GetConic eID, entity, curv, conic ~]3y667 =JY9K0S~ SetConic eID, entity, 1/Rant, CCant l:%4@t` Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant j"hfsA<_I $3k5hDA0e '************************************************************************* mJp)nF8r~ 'Radius and conic constant of posterior lens d?S7E
q9` '************************************************************************* 6p])2]N>p eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 7EO/T,{a GetConic eID, entity, curv, conic C[gy{40} g^/ SetConic eID, entity, 1/Rpost, CCpost +Ccj@#M; Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost P
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a lOYzo '************************************************************************* f
0D9Mp 'Lens thickness (Position of posterior lens surface) l*rli[No '************************************************************************* dX?8@uzu %i:Sf parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Z7lv|m& D<78Tm
x ' Delete any z-shift(s) 2Ck'A0d count = 0 1--_E,Su> While GetOperationCount(eID)>count \L Gj]mb1 GetOperation eID, count, op Ey4%N`H-^ If op.Type="ShiftZ" Then Ksr.' DeleteOperation eID,count )5Mf, count=count-1 ]lV\D8# End If E|P count=count+1 3=SIIMp7= Wend }&M$ ckG`^< 'Set new z-shift ,'N8Ivt op.Type = "ShiftZ" b;A(6^V op.val1 = tlens .Lbu[ op.parent = parID 7#wdBB% AddOperation eID, op D',[M) Print "Set lens thickness = " & tlens KsZd.Rf=@ h2<Y*j '************************************************************************* wC{?@h 'Lens index of refraction (r78AZ '************************************************************************* w_4/::K* eID = FindMaterial( "Lens" ) ]#x!mZ! GetModelMaterial eID, mat ?Zu2=<DU :!Ea.v mat.Nd = nlens !(QDhnx}9c SetModelMaterial eID, mat av~dH=&= Print "Set lens index of refraction = " & nlens V}_M\Y^^; IWc?E '************************************************************************* M`{~AIqd( 'Pupil diameter |:Q`9; '************************************************************************* ZxW4 i eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) Y_S>S(0 AT$eTZ]M 'Adjust pupil diameter (trimming volume inner hole) !A@Ft}FB vG;)(.: SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ]N<:6+ gK7bP'S8H ' Adjust pupil location to just in front of the lens w=Cqv~ parID = FindFullName( "Geometry.Arizona Eye" ) /1OzX'5f eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) !5FZxmUup count = 0 +OM`c7M: While GetOperationCount(eID)>count ]m&cVy& GetOperation eID, count, op 1FC' iGI If op.Type="ShiftZ" Then TX/Ng+v S DeleteOperation eID,count gN./u count=count-1 %z9eVkPI~ End If EkWipF( count=count+1 (4ueO~jb$ Wend \l$gcFXb op.Type = "ShiftZ" 5ctH=t0 op.val1 = taq-0.01 \r4QS op.parent = parID YhpNeP{A AddOperation eID, op L&*/s&>b CB&$tDi Print "Set pupil diameter = " & pupilDiam Y5rR t>]wWYy 'Update AZ Eye subassembly Description F^knlv' eID = FindFullName( "Geometry.Arizona Eye" ) O:K={#Xj GetEntity eID, entity <Vu/6"DP entity.Description = "Accommodation = " & A & "D" /1s|FI$-L SetEntity eID, entity _@-D/g [ vWcQ6m Update tp4/c'w;)J Print "DONE!" 8Df(|>mK '8 O(J7J End Sub )+!~xL %x Xib9J 如果屈光度是4,光瞳直径是4,则会输出如下数据: IYb%f T kaK0'l2% Accommodation = 4 Diopters $]H^? Pupil Diameter = 4 mm aVI%FycYo Set aqueous humor thickness = 2.81 #:C?:RMS Set anterior lens radius = 10.4 and conic constant = -2.375869 k Z^} Set posterior lens radius = -4.424557 and conic constant = -3.081019 ">?ocJ\9 Set lens thickness = 3.927 3>jL7sh%| Set lens index of refraction = 1.42672 -5v2E- Set pupil diameter = 4 ~KtA0BtC
DONE! j9sK P]w
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