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简介 ,I(PDlvtM MhE'_sq 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。
2r3]DrpJ ;n-)4b]\ 模型 {nyQ]Nu" R@h@@lSf 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。 x~7_`=}rO UfE41el: Table 1. AZ眼睛模型的定义 >a5M:s) 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. (thDv rT@2 "8pfLI 光源 *O`76+iZ|_ 1|_8+)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。 hq5=>p LU#DkuIG gk%8iT 图1. 光源和提示信息使用 Bld%d:i 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。 ;$ot,mH?T $V X<UK$|s 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。 }]-SAM ya+eGD@N': 图2. 字母F光源的设定方法光 %-z AV*> owYSR?aG 图3. 字母F在视网膜上位置点列图 E8-8E2i, 视网膜的散射 B{ i5UhxD -:O~J#D 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。 C:$12{I?* \O]1QM94Y 7l-`k 图4. 视网膜朗伯散射设定 n&?]GyQ 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 4o: o=!3=2@dh fk(l.A$ 图5. 视网膜重点采样规格设定 S #M<d~rK 脚本 *^'$YVd# *fBI),bZa 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: dHU#Y,v 3I)!.N[m 图6. 用户对话框的创建与编辑 X@,xwsM%tb 图7. 用户对话框编辑器 (t.pM P4 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。 #y~`nyg%| 余下的脚本计算与屈光度有关的所有参数。 "s']@Qv _8Si8+j 分析 D`r^2(WW !_+LmBd
G 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 #S[:Q.0 ; E%g_O_ 图7. 字母F在视网膜上颜色分析 NT~L=xsY 脚本代码 F, ^< 9R XT Option Explicit 'Remove this to enable non-dimensioned variables to be used. 5S PGv}if {7`eR2#Wq Dim entity As T_ENTITY & A=q _ Dim op As T_OPERATION Jo1=C.V`Y Dim mat As T_MODELMATERIAL `pp"htm Dim A As Double M) 9Ss Dim pupilDiam As Double T-=sC=sS, Dim eID As Long !<"H73?fl Dim parID As Long ArBgg[i Dim count As Integer YoD1\a| Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double
D7%`hU Dim tlens As Double, nlens As Double W,zlR5+Jk Dim curv As Double, conic As Double saOXbt(& Dim ok As Long *iB_$7n` XUUl*5^ Sub Main I;`)1
MVV9[f '用户输入对话框 #vhxW=L`= Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 mA5x ke_) TextBox 220,21,40,21,.TextBox1 'default: 0 qyMR0ai- Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 |H&2[B"l OKButton 40,91,90,21 _20nOg`o CancelButton 190,91,90,21 |F36^ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 "Vp+e%cqG TextBox 220,49,40,21,.TextBox2 'default: 4 TY"=8}X1 End Dialog sygAEL;. Dim dlg As UserDialog \AOVdnM: Qcu1&t\ C ok = Dialog (dlg) d$<HMs:o@ >JVZ@
PV
H If ok=0 Then 'cancel button was pressed s OD>mc#%Y Print "Execution cancelled." VsOn j~@ End :)+|q End If e:IUO1# fZ6lnZ 'Assign accommodation and pupil diameter & use defaults if field left empty $b;9oST If dlg.TextBox1 = "" Then [3++Q-rR= A = 0 'Default accommodation #SQao;> Else n~\"W A = CDbl(dlg.TextBox1) Y5fwmH,a- End If E1:{5F5/ 5nIm7vlQm If dlg.TextBox2 = "" Then HK>!%t0S pupilDiam = 4 'Default pupil diameter 79<{cexP Else DPn]de:e pupilDiam = CDbl(dlg.TextBox2) IbQ3* End If )sG`sET]`f hKb-l`KO Print " " l>)0OP] Print "Accommodation = " & A & " Diopters" [ajF Print "Pupil Diameter = " & pupilDiam & " mm" G"0YCi#I| KumbG>O ' Calculate new parameters with accommodation uW!',"0ER taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness D`3m%O(? Ia:n<sZU Rant = 12.0 - 0.4*A 'Radius of anterior lens ]O s!=rt CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens V%?oI]"
l fkWuSGi Rpost = -5.224557 + 0.2*A 'Radius of posterior lens HF}%Ow
CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens /02|b}{ g@YJ#S (} tlens = 3.767 + 0.04*A 'Lens thickness s =Pwkte xlF$PpRNM nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction j}Lt"r2F p= jD "lq 'Adjust parameters to account for accommodation N~L3
9 2MmqGB}YcW '************************************************************************* FQ>KbZh 'Aqueous thickness (Position of Lens) )s1W)J?8 '************************************************************************* V*SKWP eID = FindFullName( "Geometry.Arizona Eye.Lens" ) W!4(EdT*Cq GetCustomElement eID, entity <*0^X%Vf\ }|MGYS ) parID = FindFullName( "Geometry.Arizona Eye" ) Epsc2TuH7 ac6Lv}w_ ' Delete any shift(s) in z B<(v\=xZ count = 0 Az[Yvu'< While GetOperationCount(eID)>count vK)^;T ; GetOperation eID, count, op .]g>. If op.Type="ShiftZ" Then U)a}XRS DeleteOperation eID,count F`-|@k count=count-1 vttmSdY End If F,EcqM'f count=count+1 +CtsD9PA Wend "jly[M}C ENm\1 'Set new shift in \Fj$^I>C op.Type = "ShiftZ" vs;T}'O op.val1 = taq K?:rrd=7q op.parent = parID ~|kre:j9 AddOperation eID, op %k
@ "* Print "Set aqueous humor thickness = " & taq-0.55 c*$&MCh 2,?4'0Z@R '************************************************************************* v+A$CGH96 'Radius and conic constant of anterior lens hX(:xc '************************************************************************* CsG1HR@ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) V6Ie\+@.\ GetConic eID, entity, curv, conic :a#Mq9ph! W*iPseXq SetConic eID, entity, 1/Rant, CCant yg\bCvL& Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 9{\eE]0 #FKo:id`K '************************************************************************* #n5q$ 'Radius and conic constant of posterior lens I`:nb '************************************************************************* TcA+ov>TD eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 0G?0 Bo GetConic eID, entity, curv, conic 26 un= +"rZ< i SetConic eID, entity, 1/Rpost, CCpost UO$z_
p]w Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost p>7!"RF:U JnE\E(ez '************************************************************************* ;|&Ak_I2G 'Lens thickness (Position of posterior lens surface) '|Dm\cy '************************************************************************* JTB_-J-TU 4HEp}Y"}V parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ?XO$9J =FUORj\O ' Delete any z-shift(s) =o]V!MW count = 0 {` Bgxejf While GetOperationCount(eID)>count Z'p7I}-qr GetOperation eID, count, op 7c$;-O If op.Type="ShiftZ" Then JVE]Qb_ DeleteOperation eID,count 7@al)G;~ count=count-1 9Y&,dBj+ End If i~:FlW] count=count+1 g
&~T X Wend i3g;B?54 ku q3QW< 'Set new z-shift f@lRa>Z(Fm op.Type = "ShiftZ" |9.`qv op.val1 = tlens .6S]\dp7~ op.parent = parID m@ b~ AddOperation eID, op 6N[XWyS Print "Set lens thickness = " & tlens P[-2^1P" rf1Us2vp '************************************************************************* ];bB7+ 'Lens index of refraction gn"_()8cT '************************************************************************* o
mstJ9 eID = FindMaterial( "Lens" ) 99 /fI GetModelMaterial eID, mat so_ x"0*U9f mat.Nd = nlens Cc^`M9dP SetModelMaterial eID, mat v&oE!s# Print "Set lens index of refraction = " & nlens C(7uvQ |u,2A1 '************************************************************************* NFTEp0eP 'Pupil diameter ^pA|ubZ '************************************************************************* -~T? xs0_ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) OV ~|@{6T xq1=O
'Adjust pupil diameter (trimming volume inner hole) &A>Hq/Y u(V4KUk SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" RbUBKMZU (@Q@B%!!K ' Adjust pupil location to just in front of the lens #UGm/4C parID = FindFullName( "Geometry.Arizona Eye" ) Q-78B'!= eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) =\H.C@r count = 0 ,W"Q)cL While GetOperationCount(eID)>count X?5M)MP+I GetOperation eID, count, op %IG cn48J If op.Type="ShiftZ" Then @4dB$QF`& DeleteOperation eID,count _
h\wH; count=count-1 * Zb-YA End If KrN#>do&< count=count+1 H: q(T
>/w Wend l?E7'OEF: op.Type = "ShiftZ" Qe<DX" op.val1 = taq-0.01 F aO=<jYi op.parent = parID Fa78yY+6 AddOperation eID, op 16=tHo8| f6n'g:&.W Print "Set pupil diameter = " & pupilDiam @WVpDhG A\J|eSG'$ 'Update AZ Eye subassembly Description qD:3;85 eID = FindFullName( "Geometry.Arizona Eye" ) )HWf`;VQ GetEntity eID, entity "1P8[ entity.Description = "Accommodation = " & A & "D" bm9@A]yP SetEntity eID, entity <wV?B9j X=]FVHV; Update n|5+HE4@ Print "DONE!" `[x`#irD f%ude@E3 End Sub 8+m;zvDSU <}x_F)E[t 如果屈光度是4,光瞳直径是4,则会输出如下数据: GQ~wx1jj1 a&b75.- Accommodation = 4 Diopters I_xvg
>i Pupil Diameter = 4 mm .T0w2Dv/ Set aqueous humor thickness = 2.81 N3 qtq9{ Set anterior lens radius = 10.4 and conic constant = -2.375869 *k$&U3= Set posterior lens radius = -4.424557 and conic constant = -3.081019 xu[6h?u(h8 Set lens thickness = 3.927 4kZX$ct} Set lens index of refraction = 1.42672 mk#xbvvG Set pupil diameter = 4 u'}SaX]0 DONE! ?.66B9Lld
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