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简介 7\eN8+ 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。 wS#.Wzp.w _a^%V9t 模型 q*,];j/>k Uk5jZ| 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。 g6+}'MN:5 /wVrr%SN Table 1. AZ眼睛模型的定义 byoDGUv 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. <Jv %}r ggfL
d r 光源 B<x)^[ <v u-=%gx"Di 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。 fHdPav f,S ]HCu tq j-ZKEA{:1 图1. 光源和提示信息使用 x<4-Q6'{S 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。 UJ<eF/KSmG 4#!NVI3t 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。 9=89)TrY q3#07o_dV 图2. 字母F光源的设定方法光 YD 1u +v{<< 图3. 字母F在视网膜上位置点列图 ?>LsIPa 视网膜的散射 cK"b0K/M?B L]I)E`s 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。 xQ=[0!p+ s8Xort& .A//Q|ot! 图4. 视网膜朗伯散射设定 qQv?J]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。 ayTEQS AtGk
_tpVZ @.6l^"L 图5. 视网膜重点采样规格设定 Tl6%z9rY@ 脚本 VnAJOR7lrx 80U07tJ 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:
3V>2N)3`A 9l5l"Wj& 图6. 用户对话框的创建与编辑 X!Xl 图7. 用户对话框编辑器 |f#~#Y2v 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。 ?kMG!stgp} 余下的脚本计算与屈光度有关的所有参数。
QK)"-y}"g <nOK#;O) 分析 O'a
Srjl 6&5p3G{%0 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 TL lR"L5 r~N0P|Tq 图7. 字母F在视网膜上颜色分析 zc%#7"FM 脚本代码 why;1z>V |#fqHON Option Explicit 'Remove this to enable non-dimensioned variables to be used. nSdta'6 PBc.}TSGj Dim entity As T_ENTITY zZE
2%fqM Dim op As T_OPERATION l$=Y(Xk Dim mat As T_MODELMATERIAL R]L|&{ Dim A As Double W7r1!/ccj Dim pupilDiam As Double q^ lx03 Dim eID As Long q|xJ)[AO Dim parID As Long -*t4(wT|j Dim count As Integer ZbD_AP Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ve;#o< Dim tlens As Double, nlens As Double zBg>I=hiG Dim curv As Double, conic As Double \x\_I1| Dim ok As Long 2A'!kd$2 aVcQ Sub Main rw/WD( ('BFy>@ '用户输入对话框 W =fs"< Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 JFf*v6:, TextBox 220,21,40,21,.TextBox1 'default: 0 ;dgxeP;mp Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 c~bi
~ f OKButton 40,91,90,21 sJu^deX
CancelButton 190,91,90,21 /V}>v Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 4
qMO@E_ TextBox 220,49,40,21,.TextBox2 'default: 4 ,*ZdMw! End Dialog A82Bn|J Dim dlg As UserDialog huVw+vAA frV* + ok = Dialog (dlg) 6B>1"h%Wf HF>Gf2-C If ok=0 Then 'cancel button was pressed Jv(9w[ Print "Execution cancelled." *;b.x" End xrb %-vT End If M5DQ{d<r ;T6{J[
h 'Assign accommodation and pupil diameter & use defaults if field left empty "|<6bA If dlg.TextBox1 = "" Then A<-Prvryt A = 0 'Default accommodation 7 $AEh+f Else
L7oLV?k A = CDbl(dlg.TextBox1)
x|C[yu^c End If g_ 'F(An ;o*n*N If dlg.TextBox2 = "" Then MR:GH.uM: pupilDiam = 4 'Default pupil diameter WrWJ!
Else &s m7R i pupilDiam = CDbl(dlg.TextBox2) D L0jA/f End If V }<Hx3! ?M?S+@( Print " " $qOV#,@ Print "Accommodation = " & A & " Diopters" '@OqWdaR Print "Pupil Diameter = " & pupilDiam & " mm" )c~1s rz/^_dV ' Calculate new parameters with accommodation a|aRUxa0" taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness R1$O )A}k ukM11LD5x Rant = 12.0 - 0.4*A 'Radius of anterior lens :6R0=oz CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 2ZHeOKJ- ia=eFWt. Rpost = -5.224557 + 0.2*A 'Radius of posterior lens OT-!n CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens Np$peT[ l"9.zPvT< tlens = 3.767 + 0.04*A 'Lens thickness FnkB
z5D 0a<:.} nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction w
D|p'N x\HHu] 'Adjust parameters to account for accommodation }<?1\k MZ" yjQ A '************************************************************************* (pY'v/ a- 'Aqueous thickness (Position of Lens) F<SCW+>z2a '************************************************************************* qm30,$\c`~ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) X;$g7A GetCustomElement eID, entity ^@W98_bd; +)8,$1[p| parID = FindFullName( "Geometry.Arizona Eye" ) F!v`._] #=6A[<qX ' Delete any shift(s) in z 43_;Z| T count = 0 hCXSC*; While GetOperationCount(eID)>count r2:n
wlG GetOperation eID, count, op Z:F5cXt< If op.Type="ShiftZ" Then d GEMrjx DeleteOperation eID,count UuDT=_1Sh count=count-1 WSA;p=_ End If _"BYnPq@wb count=count+1 fAx7_}k/ m Wend +RIG8w] 9rhIDA(wc 'Set new shift in c,WRgXL op.Type = "ShiftZ" 9Z! j op.val1 = taq G/Ll4
: op.parent = parID :^
9sy AddOperation eID, op IYtM'!u Print "Set aqueous humor thickness = " & taq-0.55 WxNPAJ6YH Y6LoPJ '************************************************************************* %EC{O@EAk 'Radius and conic constant of anterior lens 53y,eLf '************************************************************************* bj6-0` eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ]-
GetConic eID, entity, curv, conic $L|YllD% 8<cD+Jtj SetConic eID, entity, 1/Rant, CCant K@ZK@++ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant /SLAg& vN=bd7^?= '************************************************************************* 8<z]rLQw?% 'Radius and conic constant of posterior lens REd"}zDI '************************************************************************* q2qbbQ6H eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) <@;Y.76~ GetConic eID, entity, curv, conic ZY%]F,Y }lN@J,q SetConic eID, entity, 1/Rpost, CCpost ,`<w# Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost j\V9o9D [3Qu @;"& '************************************************************************* AEjkqG4qv 'Lens thickness (Position of posterior lens surface) NzRpI5\. '************************************************************************* JryC L] iUcDj: parID = FindFullName( "Geometry.Arizona Eye.Lens" ) h-"c
)?p \Qa6mt2h ' Delete any z-shift(s) vIk;x count = 0 -C9_gZ While GetOperationCount(eID)>count JN5<=x5r GetOperation eID, count, op yn;h.m [): If op.Type="ShiftZ" Then g.CUo:c DeleteOperation eID,count !E\xn^ count=count-1 =F>@z4[P- End If .gPE Qc+D count=count+1 {~=Edf
Wend NL})_.Og 6#NptXB 'Set new z-shift kYxb@Zn=| op.Type = "ShiftZ" qPgLSZv op.val1 = tlens
T~I5W=y op.parent = parID {Vz.|
a[T AddOperation eID, op
K]mR9$/ Print "Set lens thickness = " & tlens :*GLLjS; J\iyc,M<M '************************************************************************* 3?Ckk{)& 'Lens index of refraction YyR)2j1O '************************************************************************* MPt:bf# eID = FindMaterial( "Lens" ) >Le L%$ GetModelMaterial eID, mat 11Kbj`sRZ n[zP}YRr mat.Nd = nlens Fv n:V\eb SetModelMaterial eID, mat *2O4 *Q1 Print "Set lens index of refraction = " & nlens 7I~Ww{ =2HR+ '************************************************************************* _D9`L&X} 'Pupil diameter [zp v3Uw '************************************************************************* >*ey 7g eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) SJY<#_b HJl$v#]#+ 'Adjust pupil diameter (trimming volume inner hole) (17%/80-J $~UQKv> SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" .k5
TQt +^% y&8e ' Adjust pupil location to just in front of the lens [t55Kz*cD parID = FindFullName( "Geometry.Arizona Eye" ) fm2,Mx6 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) @=o1q=5@8 count = 0 b-e3i;T!}~ While GetOperationCount(eID)>count $x&@!/&|pv GetOperation eID, count, op /{pVYY If op.Type="ShiftZ" Then 41luFtE9 DeleteOperation eID,count %AbA(F count=count-1 /60`"xH End If [u[`!L= count=count+1 +W+O7SK\y Wend @-dM'R6C op.Type = "ShiftZ" tjZ.p.IlG op.val1 = taq-0.01 (uG.s %I op.parent = parID \-kX-Tq AddOperation eID, op `+17x<N n`";ctQT Print "Set pupil diameter = " & pupilDiam SX)giQLU 8U!; 'Update AZ Eye subassembly Description |He,v/r eID = FindFullName( "Geometry.Arizona Eye" ) 7
}`c:u~j GetEntity eID, entity #yZZ$XO k entity.Description = "Accommodation = " & A & "D" "@!z+x[8 SetEntity eID, entity $ "[1yQ<p ?vL\VI9 Update T^h;T{H2 Print "DONE!" O@[c*3]e :A35?9E? End Sub R
}M'D15 `6V-a_8;[ 如果屈光度是4,光瞳直径是4,则会输出如下数据: uG2(NwOL UF)rBAv(/ Accommodation = 4 Diopters QC.WR'. Pupil Diameter = 4 mm / G$8 j$ Set aqueous humor thickness = 2.81 0T 2h3, Set anterior lens radius = 10.4 and conic constant = -2.375869 gwk$|aT@ Set posterior lens radius = -4.424557 and conic constant = -3.081019 }K,:aN,44\ Set lens thickness = 3.927 c;_GZ}8 Set lens index of refraction = 1.42672 Tyu]14L Set pupil diameter = 4 [\CQ_qs| DONE! Pxu!,Mi[d K1>.%m (文章来源:讯技光电)
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