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简介 T1lXYhAWS Z -pyFK\ 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。 - waX#UT= !aQIh 模型 SW3wMPy&s &[NVP&9&U 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。 nURvy}<r NOF?LV Table 1. AZ眼睛模型的定义 |tG05 +M 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. +7Sf8tg\ M{*kB2jr 光源 lN);~|IOv7 U^B"|lc:[ 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。 '/Cg*o/
s0gJ f[ w|&,I4[" 图1. 光源和提示信息使用 ov1Wr#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。 NV:>a kXigX- 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。 6e,Apj 0 nARxn#<+ 图2. 字母F光源的设定方法光 zs4>/9O ?x:m;z/ 图3. 字母F在视网膜上位置点列图 9Kc0&?q@D 视网膜的散射 %'$f ?y \^yXc*C 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 o(:{InpV%A y= 2=DU
T:c7@^= 图4. 视网膜朗伯散射设定 GNs#oM 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 y^9bfMA 1JIG+ZN md OSU{8. 图5. 视网膜重点采样规格设定 <[bQo&B2 E 脚本 a/#+92C F@g17 aa 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: N"S3N)wgd HB%K|&!+ 图6. 用户对话框的创建与编辑 sD{j@WEZ 图7. 用户对话框编辑器 Y^4q9?2G 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 :
-E, 余下的脚本计算与屈光度有关的所有参数。 c2/"KT n4Vwao/9x 分析 (m6EQoW^s+ 6Ux[,]GK 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 >xZ5ac
I b,9@P&=:2 图7. 字母F在视网膜上颜色分析 1^S'sWwe 脚本代码 |ribWCv0 5Wo5n7o Option Explicit 'Remove this to enable non-dimensioned variables to be used. ;;M"hI3@ \Ps5H5Qk; Dim entity As T_ENTITY tbg*_ZQO u Dim op As T_OPERATION ^s=*J=k
Dim mat As T_MODELMATERIAL 2_wvC Dim A As Double w:v=se"U Dim pupilDiam As Double ]{<saAmJC Dim eID As Long ?5`{7daot Dim parID As Long Zgy7!AF! Dim count As Integer aFyh, Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double >d#3|;RY Dim tlens As Double, nlens As Double Sg_O?.r Dim curv As Double, conic As Double [O(m/ Dim ok As Long u
>4ArtF uj)yk* Sub Main "$r1$mBi alVdQfu '用户输入对话框 r|<6Aae& Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 \Y+") TextBox 220,21,40,21,.TextBox1 'default: 0 P:qz2Hw Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 c+~LpSQ OKButton 40,91,90,21 cu)U7 CancelButton 190,91,90,21 bf1)M>g,O Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 N\'TR6_,b TextBox 220,49,40,21,.TextBox2 'default: 4 rmsQt
End Dialog g
&*mozs Dim dlg As UserDialog (#If1[L b;*c:{W) ok = Dialog (dlg) i *'Z3Z) |U EC If ok=0 Then 'cancel button was pressed a_MFQf&KV Print "Execution cancelled." VtWT{y5Ec End `UQEXoB) End If WtVf wC_ 2[ksi51y 'Assign accommodation and pupil diameter & use defaults if field left empty C s#w72N If dlg.TextBox1 = "" Then Q,~x# A = 0 'Default accommodation yyjw?#\8 Else iy}xICt A = CDbl(dlg.TextBox1) '$?du~L- End If ~;8I5Sge 4vLw?_". If dlg.TextBox2 = "" Then Y.NE^Vn0 pupilDiam = 4 'Default pupil diameter dZDK7UL Else T<6GcI>A pupilDiam = CDbl(dlg.TextBox2) x9&p!&*&IT End If }vY.EEy! Gc'M[9Mh Print " " M$H `^Pv Print "Accommodation = " & A & " Diopters" #|?8~c;RWG Print "Pupil Diameter = " & pupilDiam & " mm" l
sr?b D"!jbVz]* ' Calculate new parameters with accommodation x6v,lR taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness oqYt/4^Q L#2ZMy
Rant = 12.0 - 0.4*A 'Radius of anterior lens !D;c,{Oz CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens NH4?q!'G vY_eDJ~' Rpost = -5.224557 + 0.2*A 'Radius of posterior lens %J!NL0x_ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens [,b)YjO~Xd I0_Ecp tlens = 3.767 + 0.04*A 'Lens thickness #)]E8=} +`Pmq}ey nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction c0ZaFJ dlR_ckp 'Adjust parameters to account for accommodation r^5jh1 (;ADW+.`J '************************************************************************* 'yr{^Pek 'Aqueous thickness (Position of Lens) =)
}nLS3t '************************************************************************* $@.jZ_G eID = FindFullName( "Geometry.Arizona Eye.Lens" ) pV=@sz,G GetCustomElement eID, entity `*k@4.J{ SY T$3|a parID = FindFullName( "Geometry.Arizona Eye" ) !^?qU;| V{ |[oIp ' Delete any shift(s) in z " #v%36U count = 0 x*q35K^PE While GetOperationCount(eID)>count ,H{={aln GetOperation eID, count, op J^:n* C
If op.Type="ShiftZ" Then 9.s,:?5e DeleteOperation eID,count dB7ZT0L\ count=count-1 Ww`&i End If KUKI qAA count=count+1 R6P\T\~E Wend 2Wl{Br. 7n&yv9" 'Set new shift in 30d#Lq op.Type = "ShiftZ" }#/lN op.val1 = taq JDlBVZ! op.parent = parID {SdO9Yy?@7 AddOperation eID, op hB>^'6h+ Print "Set aqueous humor thickness = " & taq-0.55 1tGgDbJU =
F<:}Tx)C '************************************************************************* X=,6d9, 'Radius and conic constant of anterior lens Nfaf;;J} '************************************************************************* LGVlc@0' eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) fRNP#pi0u GetConic eID, entity, curv, conic IaasHo\ ti2 SetConic eID, entity, 1/Rant, CCant =/}X$,@2 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant HeozJ^u\? mb{q(WEPP '************************************************************************* @GeHWv 'Radius and conic constant of posterior lens <5IQc[3]aP '************************************************************************* Uk'U?9O eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) a+
GJVJ GetConic eID, entity, curv, conic {y-`QS yU_9a[$V SetConic eID, entity, 1/Rpost, CCpost xS+rHC Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost D^?_"wjW
-oh7d$~ '************************************************************************* UA(;fZ@ 'Lens thickness (Position of posterior lens surface) lT,+bU '************************************************************************* [W;[v<E; *eGM7o*\X parID = FindFullName( "Geometry.Arizona Eye.Lens" ) N!c
gN D=&K&6rr ' Delete any z-shift(s) M-Sv1ZLh count = 0 9XOyj5 While GetOperationCount(eID)>count Dbz]{_Y; GetOperation eID, count, op 7' eh)[T If op.Type="ShiftZ" Then _yVPpA[a DeleteOperation eID,count i0ybJOa4 count=count-1 c<jB6|.=2 End If ^73=7PZ count=count+1 O-!,Jm Wend E474l VMHC/jlX@r 'Set new z-shift =bL{i&& op.Type = "ShiftZ" 2C1+_IL op.val1 = tlens 8&.-]{Z op.parent = parID M[s\E4l:t AddOperation eID, op o;QZe& Print "Set lens thickness = " & tlens tlGWl0V?7Q # ZTLrq5b '************************************************************************* y x;h 'Lens index of refraction a5V=!OoMk '************************************************************************* Tl3"PIb eID = FindMaterial( "Lens" ) VGZ6 GetModelMaterial eID, mat aYVDp{_ RIjM(P mat.Nd = nlens ]>8)|]O6n SetModelMaterial eID, mat )4uq
iA6 Print "Set lens index of refraction = " & nlens 9L"?wv [Vp\$;\nT '************************************************************************* !<r8~A3!( 'Pupil diameter ^'W%X '************************************************************************* oEIqA eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) r/Dd&x N-QCfDao 'Adjust pupil diameter (trimming volume inner hole) e/94y6*> IG|\:Xz SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 40.AM1Z0f }n[Bq# ' Adjust pupil location to just in front of the lens WG%2<Q^ parID = FindFullName( "Geometry.Arizona Eye" ) HNMBXXf,B eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) )
,Npv3( count = 0 6x4_b While GetOperationCount(eID)>count kzi|$Gs< |