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简介 ZW-yP2 )'Oh`$M 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 0)%YNaskj O!zV)^r 模型 bBu,#Mc
*-+&[P]m 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 [DJ flCR& <A<{,:5C Table 1. AZ眼睛模型的定义 yW+yg{Gg: 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. !(mjyr 7Ilm{@b= 光源 {s)+R[?m<o VcAue!MN 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 !$DIc {p)",)td IYqBQnX}oM 图1. 光源和提示信息使用 a#^B2 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。 ;lq;X{/ aHs^tPg 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。 TK5K_V*7 il}%7b- 图2. 字母F光源的设定方法光 4,..kSA3iw ?f#y1m 图3. 字母F在视网膜上位置点列图 W!%]_I!&K 视网膜的散射 T#M,~lD L=c!:p|7) 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。 un shH < 6$fHtJD: 6S\C}U/ 图4. 视网膜朗伯散射设定 - d8TD*^ 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 {SwQ[$k=_ WxW7qt U3 */v4/ 图5. 视网膜重点采样规格设定 BsBK@+ZyI 脚本 bQE};wM, vK 7^*qr;j 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: 0F@"b{&0 ]NjX?XdX< 图6. 用户对话框的创建与编辑 `o<'
x.I 图7. 用户对话框编辑器 aF)1Nm[ 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。 ^sa#8^,K 余下的脚本计算与屈光度有关的所有参数。 '=[?~0(B anIAM 分析 7Ok;Lt!x g1XZ5P} 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。 [OHxonU nNrPHNfqD 图7. 字母F在视网膜上颜色分析 8S>&WR%jH] 脚本代码 e:DkGy`-s Z&0'a Option Explicit 'Remove this to enable non-dimensioned variables to be used. &f!z1d-qg? 6Pnk5ps }h Dim entity As T_ENTITY D|@/yDQ Dim op As T_OPERATION .}'qUPNR Dim mat As T_MODELMATERIAL W)9K`hM6 Dim A As Double VGtC)mG8) Dim pupilDiam As Double }tsYJlh5 Dim eID As Long aD=a , Dim parID As Long _Xn qb+ Dim count As Integer Xua+cVc\y Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double i%ZW3MrY~ Dim tlens As Double, nlens As Double ZaeqOVp/j Dim curv As Double, conic As Double *&?c(JU;< Dim ok As Long |o,8V p XID<(HBA"! Sub Main j*F`"df XD |E=s '用户输入对话框 4$qWiG~ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 jZh';M8" TextBox 220,21,40,21,.TextBox1 'default: 0 v[#9+6P= Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ,
FhekaA OKButton 40,91,90,21 !lEY=1nHOJ CancelButton 190,91,90,21 ()K " c# Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 .{ 44a$) TextBox 220,49,40,21,.TextBox2 'default: 4 2rmSo&3@s End Dialog +6UVn\9Q Dim dlg As UserDialog I"Ms-zs 8CnRi ok = Dialog (dlg) ':gUOra|I b'J'F;zh> If ok=0 Then 'cancel button was pressed D@.tkzU@E Print "Execution cancelled." _7IKzUn9g[ End j{Hao\F8 End If 4Fp0ZVT G"X8}:} 'Assign accommodation and pupil diameter & use defaults if field left empty la( <8 If dlg.TextBox1 = "" Then =Vy`J)z9 A = 0 'Default accommodation _/Gczy4)# Else f@8>HCI A = CDbl(dlg.TextBox1) v3}L`dyh3 End If vJ\pR~? }| J79s2M If dlg.TextBox2 = "" Then 70f Klp pupilDiam = 4 'Default pupil diameter r) $+ Else >tO`r.5u9 pupilDiam = CDbl(dlg.TextBox2) 5QPM t^ End If <@}I0 @fs`=lL/ Print " " w=j Print "Accommodation = " & A & " Diopters" I4i2+
*l} Print "Pupil Diameter = " & pupilDiam & " mm" Gp4A.\7 58%#DX34M ' Calculate new parameters with accommodation >=UF-xk; taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness si&S%4( Zm=(+
f Rant = 12.0 - 0.4*A 'Radius of anterior lens dDm):Z*`b CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens yHHt(GM|o 0{dz5gUde Rpost = -5.224557 + 0.2*A 'Radius of posterior lens )K,F]fc+O CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens UNPezHaz w"SoeU tlens = 3.767 + 0.04*A 'Lens thickness ogL EtqT ua5OGx nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction TUHi5K q4}PM[K?=\ 'Adjust parameters to account for accommodation slg ]#Dy ,$'])A?$ '************************************************************************* ;QW3CEaUq 'Aqueous thickness (Position of Lens) dxZu2&gi '************************************************************************* 9cEv&3 eID = FindFullName( "Geometry.Arizona Eye.Lens" ) @J5Jpt*IE GetCustomElement eID, entity )RO<o O qduWzxB parID = FindFullName( "Geometry.Arizona Eye" ) K'X2dG* taFn![}/!g ' Delete any shift(s) in z :JfE QIN count = 0 9G{;?c While GetOperationCount(eID)>count D\[h:8k GetOperation eID, count, op ow0!%|fO If op.Type="ShiftZ" Then bYi`R) DeleteOperation eID,count YO}1(m count=count-1 hGbj0 End If 'ihhoW8 count=count+1 Eh =~T9 Wend qf=1?=l291 ]da^xWK 'Set new shift in lu#LCG-. op.Type = "ShiftZ" v.:3"<ur} op.val1 = taq 2Fz|fW_ op.parent = parID A |3tI AddOperation eID, op -
/(s#D Print "Set aqueous humor thickness = " & taq-0.55 jCrpL~tWT wKi^C8Z2 '************************************************************************* 7ULqo>j 'Radius and conic constant of anterior lens d3W0-INL '************************************************************************* iJZ/jCI eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) n Ps7c % GetConic eID, entity, curv, conic ?V}j`r8|\4 E\IlF 6 SetConic eID, entity, 1/Rant, CCant H(Q.a=&4!p Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 2*N_5&9mE Q>R>R*1.j '************************************************************************* OvUI@,Ef 'Radius and conic constant of posterior lens \mw(cM#: '************************************************************************* ;b`[&g eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ^-rfvc GetConic eID, entity, curv, conic \MK*by F:D
orE SetConic eID, entity, 1/Rpost, CCpost Rb%%?*| Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost $&"V^@ 52b*[tZ '************************************************************************* YKbaf(K)9 'Lens thickness (Position of posterior lens surface) ?UK|>9y}Z '************************************************************************* ]D@0| *1 G>YH parID = FindFullName( "Geometry.Arizona Eye.Lens" ) "H&"(= (u]N ' Delete any z-shift(s) B%KG3] count = 0 QT9n,lX While GetOperationCount(eID)>count Dk+&X-]6x5 GetOperation eID, count, op kl"+YF5/ If op.Type="ShiftZ" Then Qb!PRCHQ DeleteOperation eID,count ;L|uIg;.s count=count-1 ?7M.o End If 0<8XI>.3D count=count+1 6<'rG'' Wend e#,~,W.H #U*_1P0h 'Set new z-shift Wm H~m k" op.Type = "ShiftZ" _{Sm k[ op.val1 = tlens /
}R z=& op.parent = parID $5v0m#[^ AddOperation eID, op Yp0/Ab(v Print "Set lens thickness = " & tlens d/}SAvtt ->h6j '************************************************************************* ~GuMlV8 'Lens index of refraction "+zCS|
'************************************************************************* kGL1!=> eID = FindMaterial( "Lens" ) \`ZW* EtPI GetModelMaterial eID, mat U~W?s(Cy% `+t.!tv! mat.Nd = nlens [w\9as/ E SetModelMaterial eID, mat K_
lVISBQ Print "Set lens index of refraction = " & nlens I+ es8 A/7X9ir '************************************************************************* h(qQsxIOhS 'Pupil diameter xAu/ '************************************************************************* p~ .8\bI= eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) e(NLX` x+]!m/ 'Adjust pupil diameter (trimming volume inner hole) S!PzLTc AW#<i_Ybf SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" %+ FG ,d 8vuCc= ' Adjust pupil location to just in front of the lens 6l$L~> parID = FindFullName( "Geometry.Arizona Eye" ) hk/!
'd eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 2"fO6!hh count = 0 \uME+NF While GetOperationCount(eID)>count .[u>V GetOperation eID, count, op 15$4&=O If op.Type="ShiftZ" Then :L_BG)dM DeleteOperation eID,count p'sc0@}_O count=count-1 XE3'`D! End If 9S[XTU count=count+1 eZr&x~]
-w Wend 4t/&. op.Type = "ShiftZ" l%Gw_0.?e op.val1 = taq-0.01 =pA
IvU op.parent = parID ~^^ NHq AddOperation eID, op c9j*n;Q uY<
H#k Print "Set pupil diameter = " & pupilDiam O)kgBrB s4 %(>Q 'Update AZ Eye subassembly Description \([WH!7 eID = FindFullName( "Geometry.Arizona Eye" ) b dJ+@r GetEntity eID, entity \<vNVz7.D entity.Description = "Accommodation = " & A & "D" ?R-9W+U%f SetEntity eID, entity 9_fePS|Z4 T@%m7 |P Update N~pIC2Woo Print "DONE!" }X;U|]d +%N
KQ'49I End Sub Pv<FLo%u< o{*ay$vA] 如果屈光度是4,光瞳直径是4,则会输出如下数据: *2}O-e =2y8CgLj Accommodation = 4 Diopters .$",
*d Pupil Diameter = 4 mm $KjTa#[RX7 Set aqueous humor thickness = 2.81 -ng=l; Set anterior lens radius = 10.4 and conic constant = -2.375869 Fg/dS6=n`? Set posterior lens radius = -4.424557 and conic constant = -3.081019 DWt*jX * Set lens thickness = 3.927 ED$DSz)x Set lens index of refraction = 1.42672 j<pw\k{i Set pupil diameter = 4 .[DthEF DONE! m}$+Hdk+7
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