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简介 }<y7bqA d6sye^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。 g^ i&gNDx +V^;.P</ 模型 M_w<m t\j*}# S 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。 3K/MvNI> JO"<{ngsQ Table 1. AZ眼睛模型的定义 B[?CbU 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. y[_Q- 3nnJ8zQ 光源 SrK<fAkx .JiziFJ@mj 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。 Jl9k``r* ^J8lBLqe n`&U~s8w 图1. 光源和提示信息使用 TSWM
|#u': 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。 ;Nj7qt /mu*-,aeX 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。 6ez<g
Uf <)-Sj, 图2. 字母F光源的设定方法光 5vZ^0yFQ :s6o"VkW 图3. 字母F在视网膜上位置点列图 JOLaP@IPT 视网膜的散射 5K?IDt7A] =j*$
|X3W 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。 fG(SNNl+D ]Y8<`;8/ 1.9}_4! 图4. 视网膜朗伯散射设定 zEy N) 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。 K_ ~"} k<{{* KOuCHqCfq 图5. 视网膜重点采样规格设定 xJ)n4) 脚本 P8)=Kbd I4q9|'-yx 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: QR0Q{}wbqU )vb*Ef 图6. 用户对话框的创建与编辑 .KUv(- 图7. 用户对话框编辑器 l
+OFw)8od 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。 2!J&+r 余下的脚本计算与屈光度有关的所有参数。 hPePB= 4X
|(5q? 分析 o-OHjFfB wN-d'-z/rd 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 |NC*7/} \EtQ5T*u 图7. 字母F在视网膜上颜色分析 QKN+>X 脚本代码 sCk? T
iiW p!mX Option Explicit 'Remove this to enable non-dimensioned variables to be used. 5ZK@`jkE AKyUfAj3 Dim entity As T_ENTITY (HE9V] Dim op As T_OPERATION c>RFdc:U Dim mat As T_MODELMATERIAL Zk"eA'"\ Dim A As Double =~H<Z LE+ Dim pupilDiam As Double ?ztkE62t Dim eID As Long $m1z-i;/ Dim parID As Long g8xQ|px Dim count As Integer 6ne7]RY Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 9:1Q1,-i!- Dim tlens As Double, nlens As Double ,N[7/kT| Dim curv As Double, conic As Double 71gT.E Dim ok As Long ~SF<,-Kg 1@R
Db)<V Sub Main -w_QJ_z_ ime\f*Fg '用户输入对话框 oxkoA Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 v+`N*\J_ TextBox 220,21,40,21,.TextBox1 'default: 0 \uC15s< Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ^_u kLzP9 OKButton 40,91,90,21 2fR02={- CancelButton 190,91,90,21 ;y\IqiA{o Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 sy"^?th}b TextBox 220,49,40,21,.TextBox2 'default: 4 orfO^;qTY End Dialog K3;nY}\> Dim dlg As UserDialog 7/f3Z1g M#VE ]J ok = Dialog (dlg) @EpIh& Q/_f
zg If ok=0 Then 'cancel button was pressed @&:ar Print "Execution cancelled." "C19b:4H End ie\"$i.98H End If V'T ,4 -Sx\Xi"<o= 'Assign accommodation and pupil diameter & use defaults if field left empty 5Z\#0":e If dlg.TextBox1 = "" Then %i-c0|,T4 A = 0 'Default accommodation &<J[Q%2 Else ~ga`\%J A = CDbl(dlg.TextBox1) Hp|_6hO 2 End If Q&g^c2 MLWM&cFG If dlg.TextBox2 = "" Then #=f?0UTA pupilDiam = 4 'Default pupil diameter U($dx.`v# Else X+}1 pupilDiam = CDbl(dlg.TextBox2) ;YX4:OBqr End If ); dT_ %S nd\ Print " " mkF" Print "Accommodation = " & A & " Diopters" vIwCJN1C Print "Pupil Diameter = " & pupilDiam & " mm" "xHg qgFyO &n?^$LTPY ' Calculate new parameters with accommodation ;Q[mL(1: taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness Z1Z1@2 T @8^[!F Rant = 12.0 - 0.4*A 'Radius of anterior lens 8C~]yd CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens B'EKM)dA C
#6dC0 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens \z7SkZt,GT CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens ;R?I4}O#R8 0B@Jity#! tlens = 3.767 + 0.04*A 'Lens thickness 4^Q: fKeT~z{~ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction pg%aI, x{c/$+Z[ 'Adjust parameters to account for accommodation KiOcu=F iN0nw]_* '************************************************************************* ugx%_x6 'Aqueous thickness (Position of Lens) p>;_e( '************************************************************************* $K'|0 eID = FindFullName( "Geometry.Arizona Eye.Lens" ) Zrr5csE GetCustomElement eID, entity D{4YxR
PX aj,T)oDbt6 parID = FindFullName( "Geometry.Arizona Eye" ) e `,ds~ (tGY%oT" ' Delete any shift(s) in z ez!C? count = 0 Bw64 While GetOperationCount(eID)>count V6#K2 GetOperation eID, count, op hk;7:G If op.Type="ShiftZ" Then {=-\|(Bx DeleteOperation eID,count mJ`A_0 count=count-1 'hv k End If L^4-5`gj count=count+1
n>`as Wend jSuL5|Gui JPWOPB'H 'Set new shift in &F5@6nJ` op.Type = "ShiftZ" (S`2[.j op.val1 = taq O
Wj@<N op.parent = parID H0R&2#YD AddOperation eID, op VZ](uF BY Print "Set aqueous humor thickness = " & taq-0.55 0}xFD6{X BQ2wnGc '************************************************************************* e^Ky<*Y 'Radius and conic constant of anterior lens ]&{ ci '************************************************************************* tP%{P"g3^ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 4bJZmUb GetConic eID, entity, curv, conic v\"S
Gc Gkxj?)` SetConic eID, entity, 1/Rant, CCant m7GR[MR
Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant JS>Gd/Jd +@K09ge '************************************************************************* dG71*)<)t 'Radius and conic constant of posterior lens #I3$3^0i# '************************************************************************* [j:[ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) m&iH2| GetConic eID, entity, curv, conic aCxE5$~$ (%:>T Q( SetConic eID, entity, 1/Rpost, CCpost d@G}~&.| Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost Z@%HvB7 |xvy')(b '************************************************************************* W$Yc'E
; 'Lens thickness (Position of posterior lens surface) PeE/iZ. '************************************************************************* 1G'`2ATF* z>06hBv(?Y parID = FindFullName( "Geometry.Arizona Eye.Lens" ) N#_GJSG_| 5rV(( ' Delete any z-shift(s) ulJX1I=|p count = 0 \Ro^*4B While GetOperationCount(eID)>count ?kz+R' GetOperation eID, count, op yj(vkifEB If op.Type="ShiftZ" Then b4""|P?L DeleteOperation eID,count 1uk0d`JL count=count-1 a`u
S[r> End If R1W}dRE} count=count+1 <JwX_\?ln Wend e~T@~(fft q0bHB_|wL 'Set new z-shift Y05P'Q op.Type = "ShiftZ" o(Cey7 op.val1 = tlens A=-F,=k(!/ op.parent = parID OcSEo7W AddOperation eID, op 2. X" f Print "Set lens thickness = " & tlens N9rBW Lh-`OmO0>F '************************************************************************* %,*G[#*& 'Lens index of refraction `j9$T:` '************************************************************************* 5]1h8PW!Y eID = FindMaterial( "Lens" )
`:G% GetModelMaterial eID, mat
l"zUv 90Hjx>[ mat.Nd = nlens $8BE[u|H2 SetModelMaterial eID, mat ,[nm_^R*\ Print "Set lens index of refraction = " & nlens STA4 p6 {+g[l5CR[ '************************************************************************* ro[Y-o5Q0 'Pupil diameter KZBrE$@%5 '************************************************************************* g+C!kaC) eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) TjBY
4 jUqy8q& 'Adjust pupil diameter (trimming volume inner hole) "XLe3n )2E%b+" SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" =N|kn<h4 l48k< ' Adjust pupil location to just in front of the lens 9(!]NNf! parID = FindFullName( "Geometry.Arizona Eye" ) ?oiKVL"7 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 2n`Lg4=
count = 0 Sb:T*N0gS While GetOperationCount(eID)>count 0X(]7b&~R GetOperation eID, count, op bxXiQa If op.Type="ShiftZ" Then XO
F1c3'H DeleteOperation eID,count kDz>r#% count=count-1 ]^\8U2q} End If Kt.~aaG_ count=count+1 :'r6TVDW Wend y/@iT8$rp op.Type = "ShiftZ" &VWlt2-R0h op.val1 = taq-0.01 3|Y!2b(:? op.parent = parID 7=*VpX1 AddOperation eID, op 4rU!4l kYxS~Kd< Print "Set pupil diameter = " & pupilDiam I2HT2c$ WO,xMfK 'Update AZ Eye subassembly Description y02u?wJ eID = FindFullName( "Geometry.Arizona Eye" ) ]9S`[c$ GetEntity eID, entity swpnuuC- entity.Description = "Accommodation = " & A & "D" >AI<60/< SetEntity eID, entity xnq><4 ]5v:5:H Update 8Xm@r#Oy5 Print "DONE!" ev>oC~>s 3#<*k>1G? End Sub 2go> o VB"f 如果屈光度是4,光瞳直径是4,则会输出如下数据: Eb.;^=x z4}
%TT@^ Accommodation = 4 Diopters :nQp.N*p Pupil Diameter = 4 mm ?|t/mo|K? Set aqueous humor thickness = 2.81 h#3m4<w(9 Set anterior lens radius = 10.4 and conic constant = -2.375869 a]VGUW- Set posterior lens radius = -4.424557 and conic constant = -3.081019 IvW@o1Q Set lens thickness = 3.927 CJqc\I~ Set lens index of refraction = 1.42672 :LV.G0)# Set pupil diameter = 4 T 0 FZ7 DONE! ~r`Wr`]_ z BGjb`U#%3 FUaNiAr[ QQ:2987619807 z*.v_Mx
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